From c97df75e08fa174ee3411922378b2bd1f113df38 Mon Sep 17 00:00:00 2001 From: goens Date: Tue, 29 Aug 2023 10:15:19 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20bollu/ss?= =?UTF-8?q?a@097a12bc580f84e9066d1ae4972bd59bdb100696=20=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- SSA.html | 2 +- SSA/Core/EDSLNested.html | 108 ++++---- SSA/Core/Framework.html | 36 +-- SSA/Core/Tactic.html | 4 +- SSA/Core/Util.html | 38 +-- SSA/Core/WellTypedFramework.html | 190 +++++++------- SSA/Projects/InstCombine/Alive.html | 210 ++++++++-------- SSA/Projects/InstCombine/AliveStatements.html | 210 ++++++++-------- SSA/Projects/InstCombine/Base.html | 98 ++++---- SSA/Projects/InstCombine/ForMathlib.html | 238 +++++++++--------- .../InstCombine/PeepholeRewrites.html | 20 +- SSA/Projects/InstCombine/Tactic.html | 6 +- SSA/Projects/Tensor1D/Tensor1D.html | 88 +++---- SSA/Projects/Tensor2D/Tensor2D.html | 68 ++--- .../declaration-data-SSA.Core.EDSLNested.bmp | 2 +- .../declaration-data-SSA.Core.Framework.bmp | 2 +- .../declaration-data-SSA.Core.Tactic.bmp | 2 +- .../declaration-data-SSA.Core.Util.bmp | 2 +- ...ation-data-SSA.Core.WellTypedFramework.bmp | 2 +- ...on-data-SSA.Projects.InstCombine.Alive.bmp | 2 +- ...A.Projects.InstCombine.AliveStatements.bmp | 2 +- ...ion-data-SSA.Projects.InstCombine.Base.bmp | 2 +- ...ta-SSA.Projects.InstCombine.ForMathlib.bmp | 2 +- ....Projects.InstCombine.PeepholeRewrites.bmp | 2 +- ...n-data-SSA.Projects.InstCombine.Tactic.bmp | 2 +- ...on-data-SSA.Projects.Tensor1D.Tensor1D.bmp | 2 +- ...on-data-SSA.Projects.Tensor2D.Tensor2D.bmp | 2 +- declarations/declaration-data.bmp | 2 +- declarations/declaration-data.bmp.trace | 2 +- 29 files changed, 673 insertions(+), 673 deletions(-) diff --git a/SSA.html b/SSA.html index c7c597746..0a24b5806 100644 --- a/SSA.html +++ b/SSA.html @@ -1,4 +1,4 @@ SSA

Documentation

SSA

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Documentation

SSA.Core.EDSLNested

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def -EDSL2.dsl_op2.quot :
Lean.ParserDescr
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    def -EDSL2.«term[dsl_op2|_]» :
    Lean.ParserDescr
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      def +
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      def +EDSL2.dsl_op2.quot :
      Lean.ParserDescr
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        def +EDSL2.«term[dsl_op2|_]» :
        Lean.ParserDescr
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          def -EDSL2.dsl_expr2.quot :
          Lean.ParserDescr
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            def -EDSL2.dsl_region2.quot :
            Lean.ParserDescr
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              def -EDSL2.dsl_stmt2.quot :
              Lean.ParserDescr
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                def -EDSL2.dsl_expr2_ :
                Lean.ParserDescr
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                  def -EDSL2.«dsl_expr2(_)» :
                  Lean.ParserDescr
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                    def -EDSL2.«dsl_expr2(_,_)» :
                    Lean.ParserDescr
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                      def -EDSL2.«dsl_expr2(_,_,_)» :
                      Lean.ParserDescr
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                        def -EDSL2.«dsl_expr2Op:_____» :
                        Lean.ParserDescr
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                          def -EDSL2.dsl_assign2 :
                          Lean.ParserDescr
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                            def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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                              def +EDSL2.dsl_expr2.quot :
                              Lean.ParserDescr
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                                def +EDSL2.dsl_region2.quot :
                                Lean.ParserDescr
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                                  def +EDSL2.dsl_stmt2.quot :
                                  Lean.ParserDescr
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                                    def +EDSL2.dsl_expr2_ :
                                    Lean.ParserDescr
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                                      def +EDSL2.«dsl_expr2(_)» :
                                      Lean.ParserDescr
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                                        def +EDSL2.«dsl_expr2(_,_)» :
                                        Lean.ParserDescr
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                                          def +EDSL2.«dsl_expr2(_,_,_)» :
                                          Lean.ParserDescr
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                                            def +EDSL2.«dsl_expr2Op:_____» :
                                            Lean.ParserDescr
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                                              def +EDSL2.dsl_assign2 :
                                              Lean.ParserDescr
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                                                def -EDSL2.dsl_bb2 :
                                                Lean.ParserDescr
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                                                  def -EDSL2.«dsl_region2{_=>_}» :
                                                  Lean.ParserDescr
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                                                    inductive -EDSL2.ElabVar :
                                                    Type
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                                                      def -EDSL2.ElabVar.toString :
                                                      EDSL2.ElabVar → String
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                                                        def + (Lean.ParserDescr.sepBy EDSL2.dsl_assign2 "" (Lean.ParserDescr.symbol ""))
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                                                          def +EDSL2.dsl_bb2 :
                                                          Lean.ParserDescr
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                                                            def +EDSL2.«dsl_region2{_=>_}» :
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                                                              inductive +EDSL2.ElabVar :
                                                              Type
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                                                                def +EDSL2.ElabVar.toString :
                                                                EDSL2.ElabVar → String
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                                                                  def EDSL2.ElabVar.toNat :
                                                                  EDSL2.ElabVar → ℕ
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                                                                    def + | EDSL2.ElabVar.Synthetic n => n
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                                                                      structure -EDSL2.SSAElabContext :
                                                                      Type
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                                                                        @[inline]
                                                                        + :
                                                                        Lean.TSyntax `term
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                                                                          structure +EDSL2.SSAElabContext :
                                                                          Type
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                                                                            abbrev EDSL2.SSAElabM (α : Type) - :
                                                                            Type
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                                                                              def EDSL2.SSAElabContext.addVar (var : EDSL2.ElabVar) - :
                                                                              EDSL2.SSAElabM Unit
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                                                                                def -EDSL2.SSAElabContext.addFreshSyntheticVar :
                                                                                EDSL2.SSAElabM EDSL2.ElabVar
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                                                                                  def + :
                                                                                  EDSL2.SSAElabM Unit
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                                                                                    def +EDSL2.SSAElabContext.addFreshSyntheticVar :
                                                                                    EDSL2.SSAElabM EDSL2.ElabVar
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                                                                                      def EDSL2.SSAElabContext.getIndex? (var : EDSL2.ElabVar) - :
                                                                                      EDSL2.SSAElabM (Option ℕ)
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                                                                                        def -EDSL2.dslVarToElabVar :
                                                                                        Lean.TSyntax `EDSL2.dsl_var2 → Lean.MacroM EDSL2.ElabVar

                                                                                        extract out the index (nat) of the dsl_var

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                                                                                          def -EDSL2.idxToContextVar :
                                                                                          ℕ → Lean.MacroM (Lean.TSyntax `term)

                                                                                          convert a de-bruijn into a intrinsically well typed context variable

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                                                                                            def + :
                                                                                            EDSL2.SSAElabM (Option ℕ)
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                                                                                              def +EDSL2.dslVarToElabVar :
                                                                                              Lean.TSyntax `EDSL2.dsl_var2 → Lean.MacroM EDSL2.ElabVar

                                                                                              extract out the index (nat) of the dsl_var

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                                                                                                def +EDSL2.idxToContextVar :
                                                                                                ℕ → Lean.MacroM (Lean.TSyntax `term)

                                                                                                convert a de-bruijn into a intrinsically well typed context variable

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                                                                                                  def EDSL2.ElabVar.quoteAsContextVar (var : EDSL2.ElabVar) - :
                                                                                                  EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                    structure + :
                                                                                                    EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                      structure EDSL2.StmtBuilder (α : Type) - :
                                                                                                      Type

                                                                                                      A statement builder that can be filled with a statement.

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                                                                                                        instance -EDSL2.instInhabitedStmtBuilder :
                                                                                                        {a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
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                                                                                                        • EDSL2.instInhabitedStmtBuilder = { default := { appendk := default, val := default } }
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                                                                                                        def + :
                                                                                                        Type

                                                                                                        A statement builder that can be filled with a statement.

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                                                                                                          instance +EDSL2.instInhabitedStmtBuilder :
                                                                                                          {a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
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                                                                                                          • EDSL2.instInhabitedStmtBuilder = { default := { appendk := default, val := default } }
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                                                                                                          def EDSL2.StmtBuilder.prepend {β : Type} @@ -67,7 +67,7 @@ appendk := fun x => do let __do_lift ← EDSL2.StmtBuilder.appendk right x EDSL2.StmtBuilder.appendk left __do_lift, - val := left.val }
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                                                                                                            def + val := left.val }
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                                                                                                              def EDSL2.StmtBuilder.append {α : Type} @@ -80,7 +80,7 @@ appendk := fun x => do let __do_lift ← EDSL2.StmtBuilder.appendk right x EDSL2.StmtBuilder.appendk left __do_lift, - val := right.val }
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                                                                                                                def + val := right.val }
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                                                                                                                  def EDSL2.StmtBuilder.appendHole {α : Type} @@ -91,7 +91,7 @@ appendk := fun x => do let __do_lift ← appendk x EDSL2.StmtBuilder.appendk e __do_lift, - val := e.val }
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                                                                                                                    def + val := e.val }
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                                                                                                                      def EDSL2.StmtBuilder.prependHole {α : Type} @@ -102,7 +102,7 @@ appendk := fun x => do let __do_lift ← EDSL2.StmtBuilder.appendk right x leftHole __do_lift, - val := right.val }
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                                                                                                                        def + val := right.val }
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                                                                                                                          def EDSL2.StmtBuilder.setVal {α : Type} @@ -111,32 +111,32 @@ (e : EDSL2.StmtBuilder α) (val : β) - :
                                                                                                                          EDSL2.StmtBuilder β

                                                                                                                          Set the value stored in the StmtBuilder

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                                                                                                                            instance + :
                                                                                                                            EDSL2.StmtBuilder β

                                                                                                                            Set the value stored in the StmtBuilder

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                                                                                                                              instance EDSL2.instToStringStmtBuilder {α : Type} [inst : ToString α] - :
                                                                                                                              ToString (EDSL2.StmtBuilder α)
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                                                                                                                              def + :
                                                                                                                              ToString (EDSL2.StmtBuilder α)
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                                                                                                                              def EDSL2.StmtBuilder.ofVal {α : Type} (val : α) - :
                                                                                                                              EDSL2.StmtBuilder α

                                                                                                                              Builder a StmtBuilder from a raw value

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                                                                                                                                def + :
                                                                                                                                EDSL2.StmtBuilder α

                                                                                                                                Builder a StmtBuilder from a raw value

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                                                                                                                                  def EDSL2.StmtBuilder.toAssign (builder : EDSL2.StmtBuilder (Lean.TSyntax `term)) - :
                                                                                                                                  EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                  Build an assignment to store e.

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                                                                                                                                    partial def -EDSL2.elabRgn :
                                                                                                                                    Lean.TSyntax `dsl_region2 → EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                    partial def + :
                                                                                                                                    EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                    Build an assignment to store e.

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                                                                                                                                      partial def +EDSL2.elabRgn :
                                                                                                                                      Lean.TSyntax `dsl_region2 → EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                      partial def EDSL2.elabAssign (restBuilderM : EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)) - :
                                                                                                                                      Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                      Given the rest of the statements that are to be built, build them

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                                                                                                                                      partial def + :
                                                                                                                                      Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                      Given the rest of the statements that are to be built, build them

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                                                                                                                                      partial def -EDSL2.elabBB :
                                                                                                                                      Lean.TSyntax `EDSL2.dsl_bb2 → EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                      partial def -EDSL2.elabStxExpr :
                                                                                                                                      Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                      insert intermediate let bindings to produce

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                                                                                                                                      def -EDSL2.«term[dsl_bb2|_]» :
                                                                                                                                      Lean.ParserDescr
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                                                                                                                                        partial def +EDSL2.elabBB :
                                                                                                                                        Lean.TSyntax `EDSL2.dsl_bb2 → EDSL2.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                        partial def +EDSL2.elabStxExpr :
                                                                                                                                        Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)

                                                                                                                                        insert intermediate let bindings to produce

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                                                                                                                                        def +EDSL2.«term[dsl_bb2|_]» :
                                                                                                                                        Lean.ParserDescr
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                                                                                                                                          def EDSL2.«term[dsl_region2|_]» :
                                                                                                                                          Lean.ParserDescr
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                                                                                                                                            Documentation

                                                                                                                                            SSA.Core.Framework

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                                                                                                                                            abbrev -SSA.Var :
                                                                                                                                            Type
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                                                                                                                                              @[inline]
                                                                                                                                              +SSA.Var :
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                                                                                                                                                abbrev -SSA.RegionVar :
                                                                                                                                                Type
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                                                                                                                                                  inductive -SSA.SSAIndex :
                                                                                                                                                  Type

                                                                                                                                                  Us mucking around to avoid mutual inductives.

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                                                                                                                                                    inductive +SSA.RegionVar :
                                                                                                                                                    Type
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                                                                                                                                                      inductive +SSA.SSAIndex :
                                                                                                                                                      Type

                                                                                                                                                      Us mucking around to avoid mutual inductives.

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                                                                                                                                                        inductive SSA.SSA (Op : Type) - :
                                                                                                                                                        SSA.SSAIndex → Type
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                                                                                                                                                          + :
                                                                                                                                                          SSA.SSAIndex → Type
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                                                                                                                                                            @[inline]
                                                                                                                                                            abbrev SSA.Expr (Op : Type) - :
                                                                                                                                                            Type
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                                                                                                                                                              + :
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                                                                                                                                                                @[inline]
                                                                                                                                                                abbrev SSA.Stmt (Op : Type) - :
                                                                                                                                                                Type
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                                                                                                                                                                  @[inline]
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                                                                                                                                                                    abbrev SSA.Env (Val : Type) - :
                                                                                                                                                                    Type

                                                                                                                                                                    Evaluation context. There is only one type in the semantics and that type is Val

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                                                                                                                                                                      def + :
                                                                                                                                                                      Type

                                                                                                                                                                      Evaluation context. There is only one type in the semantics and that type is Val

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                                                                                                                                                                        def SSA.Env.empty {Val : Type} [inst : Inhabited Val] - :
                                                                                                                                                                        SSA.Env Val
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                                                                                                                                                                          instance + :
                                                                                                                                                                          SSA.Env Val
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                                                                                                                                                                            instance SSA.instEmptyCollectionEnv {Val : Type} [inst : Inhabited Val] - :
                                                                                                                                                                            EmptyCollection (SSA.Env Val)
                                                                                                                                                                            Equations
                                                                                                                                                                            • SSA.instEmptyCollectionEnv = { emptyCollection := SSA.Env.empty }
                                                                                                                                                                            source
                                                                                                                                                                            def + :
                                                                                                                                                                            EmptyCollection (SSA.Env Val)
                                                                                                                                                                            Equations
                                                                                                                                                                            • SSA.instEmptyCollectionEnv = { emptyCollection := SSA.Env.empty }
                                                                                                                                                                            source
                                                                                                                                                                            def SSA.Env.set {Val : Type} @@ -42,8 +42,8 @@ (val : Val) (needle : SSA.Var) - :
                                                                                                                                                                            Val
                                                                                                                                                                            Equations
                                                                                                                                                                            • (e[var := val]) needle = if (needle == var) = true then val else e needle
                                                                                                                                                                            Instances For
                                                                                                                                                                              source
                                                                                                                                                                              def -SSA.«term_[_:=_]» :
                                                                                                                                                                              Lean.TrailingParserDescr
                                                                                                                                                                              Equations
                                                                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                                                                              Instances For
                                                                                                                                                                                source
                                                                                                                                                                                class + :
                                                                                                                                                                                Val
                                                                                                                                                                                Equations
                                                                                                                                                                                • (e[var := val]) needle = if (needle == var) = true then val else e needle
                                                                                                                                                                                Instances For
                                                                                                                                                                                  source
                                                                                                                                                                                  def +SSA.«term_[_:=_]» :
                                                                                                                                                                                  Lean.TrailingParserDescr
                                                                                                                                                                                  Equations
                                                                                                                                                                                  • One or more equations did not get rendered due to their size.
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                                                                                                                                                                                    source
                                                                                                                                                                                    class SSA.UserSemantics (Op : Type) @@ -53,14 +53,14 @@ :
                                                                                                                                                                                    Type
                                                                                                                                                                                    • eval : Op → Val → (Val → Val) → Val

                                                                                                                                                                                      Op is semantically a function Val → (Val → Val) → Val for every operation, produce a result Val given the input variable value (⟦val⟧ : Val) -and input region value (⟦rgn⟧ : Val → Val)

                                                                                                                                                                                    • valUnit : Val

                                                                                                                                                                                      Okay Yuck

                                                                                                                                                                                    • valPair : Val → Val → Val
                                                                                                                                                                                    • valTriple : Val → Val → Val → Val
                                                                                                                                                                                    Instances
                                                                                                                                                                                      source
                                                                                                                                                                                      def +and input region value (⟦rgn⟧ : Val → Val)

                                                                                                                                                                                    • valUnit : Val

                                                                                                                                                                                      Okay Yuck

                                                                                                                                                                                    • valPair : Val → Val → Val
                                                                                                                                                                                    • valTriple : Val → Val → Val → Val
                                                                                                                                                                                      • Instances
                                                                                                                                                                                        source
                                                                                                                                                                                        def + | SSA.SSAIndex.REGION => Val → Val
                                                                                                                                                                                        Instances For
                                                                                                                                                                                          source
                                                                                                                                                                                          def SSA.SSA.eval {Val : Type} @@ -75,12 +75,12 @@ (e : SSA.Env Val) (re : SSA.Env (Val → Val)) - :
                                                                                                                                                                                          SSA.SSA Op k → SSA.SSAIndex.eval Val k
                                                                                                                                                                                          Equations
                                                                                                                                                                                          Instances For
                                                                                                                                                                                            source
                                                                                                                                                                                            inductive + :
                                                                                                                                                                                            SSA.SSA Op k → SSA.SSAIndex.eval Val k
                                                                                                                                                                                            Equations
                                                                                                                                                                                            Instances For
                                                                                                                                                                                              source
                                                                                                                                                                                              inductive SSA.Tree (Op : Type) (Val : Type) - :
                                                                                                                                                                                              Type
                                                                                                                                                                                              Instances For
                                                                                                                                                                                                source
                                                                                                                                                                                                def + :
                                                                                                                                                                                                Type
                                                                                                                                                                                                Instances For
                                                                                                                                                                                                  source
                                                                                                                                                                                                  def SSA.Tree.eval {Val : Type} diff --git a/SSA/Core/Tactic.html b/SSA/Core/Tactic.html index c316059cb..001229daf 100644 --- a/SSA/Core/Tactic.html +++ b/SSA/Core/Tactic.html @@ -1,5 +1,5 @@ SSA.Core.Tactic

                                                                                                                                                                                                  Documentation

                                                                                                                                                                                                  SSA.Core.Tactic

                                                                                                                                                                                                  -
                                                                                                                                                                                                  -
                                                                                                                                                                                                  source
                                                                                                                                                                                                  def +
                                                                                                                                                                                                  +
                                                                                                                                                                                                  \ No newline at end of file diff --git a/SSA/Core/Util.html b/SSA/Core/Util.html index 7c29aa855..18820cae1 100644 --- a/SSA/Core/Util.html +++ b/SSA/Core/Util.html @@ -1,6 +1,6 @@ SSA.Core.Util

                                                                                                                                                                                                  Documentation

                                                                                                                                                                                                  SSA.Core.Util

                                                                                                                                                                                                  -
                                                                                                                                                                                                  -
                                                                                                                                                                                                  source
                                                                                                                                                                                                  def +
                                                                                                                                                                                                  +
                                                                                                                                                                                                  source
                                                                                                                                                                                                  def uncurry {α : Type u_1} @@ -11,7 +11,7 @@ (f : α → β → γ) (pair : α × β) - :
                                                                                                                                                                                                  γ
                                                                                                                                                                                                  Equations
                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                    source
                                                                                                                                                                                                    def + :
                                                                                                                                                                                                    γ
                                                                                                                                                                                                    Equations
                                                                                                                                                                                                    Instances For
                                                                                                                                                                                                      source
                                                                                                                                                                                                      def pairBind {m : Type u_1 → Type u_2} @@ -29,7 +29,7 @@ :
                                                                                                                                                                                                      m γ
                                                                                                                                                                                                      Equations
                                                                                                                                                                                                      • pairBind f pair = do let fst ← pair.fst let snd ← pair.snd - f fst snd
                                                                                                                                                                                                      Instances For
                                                                                                                                                                                                        source
                                                                                                                                                                                                        def + f fst snd
                                                                                                                                                                                                        Instances For
                                                                                                                                                                                                          source
                                                                                                                                                                                                          def pairMapM {m : Type u_1 → Type u_2} @@ -47,7 +47,7 @@ :
                                                                                                                                                                                                          m γ
                                                                                                                                                                                                          Equations
                                                                                                                                                                                                          • pairMapM f pair = do let fst ← pair.fst let snd ← pair.snd - pure (f fst snd)
                                                                                                                                                                                                          Instances For
                                                                                                                                                                                                            source
                                                                                                                                                                                                            def + pure (f fst snd)
                                                                                                                                                                                                            Instances For
                                                                                                                                                                                                              source
                                                                                                                                                                                                              def tripleMapM {m : Type u_1 → Type u_2} @@ -64,23 +64,23 @@ (f : α → β → γ → δ) (triple : m α × m β × m γ) - :
                                                                                                                                                                                                              m δ
                                                                                                                                                                                                              Equations
                                                                                                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                                                                                                              Instances For
                                                                                                                                                                                                                source
                                                                                                                                                                                                                def + :
                                                                                                                                                                                                                m δ
                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                  source
                                                                                                                                                                                                                  def Fin.coeLt {n : ℕ} {m : ℕ} :
                                                                                                                                                                                                                  n ≤ m → Fin n → Fin m
                                                                                                                                                                                                                  Equations
                                                                                                                                                                                                                  • Fin.coeLt h i = match i with - | { val := i, isLt := h' } => { val := i, isLt := (_ : i < m) }
                                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                                    source
                                                                                                                                                                                                                    inductive + | { val := i, isLt := h' } => { val := i, isLt := (_ : i < m) }
                                                                                                                                                                                                                    Instances For
                                                                                                                                                                                                                      source
                                                                                                                                                                                                                      inductive LengthIndexedList (α : Type u) - :
                                                                                                                                                                                                                      ℕ → Type u
                                                                                                                                                                                                                      Instances For
                                                                                                                                                                                                                        source
                                                                                                                                                                                                                        instance -instReprLengthIndexedList :
                                                                                                                                                                                                                        {α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
                                                                                                                                                                                                                        Equations
                                                                                                                                                                                                                        • instReprLengthIndexedList = { reprPrec := reprLengthIndexedList✝ }
                                                                                                                                                                                                                        source
                                                                                                                                                                                                                        instance -instDecidableEqLengthIndexedList :
                                                                                                                                                                                                                        {α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
                                                                                                                                                                                                                        Equations
                                                                                                                                                                                                                        • instDecidableEqLengthIndexedList = decEqLengthIndexedList✝
                                                                                                                                                                                                                        source
                                                                                                                                                                                                                        def + :
                                                                                                                                                                                                                        ℕ → Type u
                                                                                                                                                                                                                        Instances For
                                                                                                                                                                                                                          source
                                                                                                                                                                                                                          instance +instReprLengthIndexedList :
                                                                                                                                                                                                                          {α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                          • instReprLengthIndexedList = { reprPrec := reprLengthIndexedList✝ }
                                                                                                                                                                                                                          source
                                                                                                                                                                                                                          instance +instDecidableEqLengthIndexedList :
                                                                                                                                                                                                                          {α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                          • instDecidableEqLengthIndexedList = decEqLengthIndexedList✝
                                                                                                                                                                                                                          source
                                                                                                                                                                                                                          def LengthIndexedList.map {α : Type u} @@ -89,7 +89,7 @@ (f : α → β) {n : ℕ} - :
                                                                                                                                                                                                                          LengthIndexedList α n → LengthIndexedList β n
                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                          Instances For
                                                                                                                                                                                                                            source
                                                                                                                                                                                                                            def + :
                                                                                                                                                                                                                            LengthIndexedList α n → LengthIndexedList β n
                                                                                                                                                                                                                            Equations
                                                                                                                                                                                                                            Instances For
                                                                                                                                                                                                                              source
                                                                                                                                                                                                                              def LengthIndexedList.foldl {α : Type u} @@ -100,7 +100,7 @@ (f : β → α → β) (acc : β) - :
                                                                                                                                                                                                                              LengthIndexedList α n → β
                                                                                                                                                                                                                              Equations
                                                                                                                                                                                                                              Instances For
                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                def + :
                                                                                                                                                                                                                                LengthIndexedList α n → β
                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                                  source
                                                                                                                                                                                                                                  def LengthIndexedList.zipWith {α : Type u} @@ -111,7 +111,7 @@ {n : ℕ} (f : α → β → γ) - :
                                                                                                                                                                                                                                  LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
                                                                                                                                                                                                                                  Equations
                                                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                    def + :
                                                                                                                                                                                                                                    LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                    Instances For
                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                      def LengthIndexedList.nth {α : Type u} @@ -120,12 +120,12 @@ (l : LengthIndexedList α n) (i : Fin n) - :
                                                                                                                                                                                                                                      α
                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                      Instances For
                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                        instance + :
                                                                                                                                                                                                                                        α
                                                                                                                                                                                                                                        Equations
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                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                          instance LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat {α : Type u_1} {n : ℕ} - :
                                                                                                                                                                                                                                          GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
                                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                                          • LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat = { getElem := fun xs i h => LengthIndexedList.nth xs { val := i, isLt := h } }
                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                          GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
                                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                                          • LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat = { getElem := fun xs i h => LengthIndexedList.nth xs { val := i, isLt := h } }
                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                          def LengthIndexedList.NatEq {α : Type u} @@ -133,16 +133,16 @@ {m : ℕ} :
                                                                                                                                                                                                                                          n = m → LengthIndexedList α n → LengthIndexedList α m
                                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                                          Instances For
                                                                                                                                                                                                                                            source
                                                                                                                                                                                                                                            def + | .(n), (_ : n = n), l => l
                                                                                                                                                                                                                                            Instances For
                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                              def LengthIndexedList.finRange (n : ℕ) - :
                                                                                                                                                                                                                                              LengthIndexedList (Fin n) n
                                                                                                                                                                                                                                              Equations
                                                                                                                                                                                                                                              Instances For
                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                @[simp]
                                                                                                                                                                                                                                                + :
                                                                                                                                                                                                                                                LengthIndexedList (Fin n) n
                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                                                  source
                                                                                                                                                                                                                                                  def tacticPrint_goal_as_error :
                                                                                                                                                                                                                                                  Lean.ParserDescr
                                                                                                                                                                                                                                                  Equations
                                                                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                                                                    \ No newline at end of file diff --git a/SSA/Core/WellTypedFramework.html b/SSA/Core/WellTypedFramework.html index cee7040de..c9f7ee8b6 100644 --- a/SSA/Core/WellTypedFramework.html +++ b/SSA/Core/WellTypedFramework.html @@ -1,60 +1,60 @@ SSA.Core.WellTypedFramework

                                                                                                                                                                                                                                                    Documentation

                                                                                                                                                                                                                                                    SSA.Core.WellTypedFramework

                                                                                                                                                                                                                                                    -
                                                                                                                                                                                                                                                    -
                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                    class +
                                                                                                                                                                                                                                                    +
                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                    class Goedel (β : Type) :
                                                                                                                                                                                                                                                    Type 1
                                                                                                                                                                                                                                                    • toType : β → Type

                                                                                                                                                                                                                                                    Typeclass for a baseType which is a Gödel code of -Lean types.

                                                                                                                                                                                                                                                    Instances
                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                      def -«term⟦_⟧» :
                                                                                                                                                                                                                                                      Lean.ParserDescr
                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                      • One or more equations did not get rendered due to their size.
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                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                        instance -instGoedelUnit :
                                                                                                                                                                                                                                                        Goedel Unit
                                                                                                                                                                                                                                                        Equations
                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                        inductive +Lean types.

                                                                                                                                                                                                                                                        Instances
                                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                                          def +«term⟦_⟧» :
                                                                                                                                                                                                                                                          Lean.ParserDescr
                                                                                                                                                                                                                                                          Equations
                                                                                                                                                                                                                                                          • One or more equations did not get rendered due to their size.
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                                                                                                                                                                                                                                                            instance +instGoedelUnit :
                                                                                                                                                                                                                                                            Goedel Unit
                                                                                                                                                                                                                                                            Equations
                                                                                                                                                                                                                                                            source
                                                                                                                                                                                                                                                            inductive SSA.UserType (β : Type) :
                                                                                                                                                                                                                                                            Type

                                                                                                                                                                                                                                                            A UserType is a type of user-defined values in SSA programs. The main objective of UserType is to be able to have decidability properties, like decidable equality, for the restricted set of types in the user-defined semantics, since Lean's Type does not have these -properties.

                                                                                                                                                                                                                                                            Instances For
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                                                                                                                                                                                                                                                              instance -SSA.instDecidableEqUserType :
                                                                                                                                                                                                                                                              {β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
                                                                                                                                                                                                                                                              Equations
                                                                                                                                                                                                                                                              • SSA.instDecidableEqUserType = SSA.decEqUserType✝
                                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                                              instance +properties.

                                                                                                                                                                                                                                                              Instances For
                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                instance +SSA.instDecidableEqUserType :
                                                                                                                                                                                                                                                                {β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
                                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                                • SSA.instDecidableEqUserType = SSA.decEqUserType✝
                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                instance SSA.UserType.instReprUserType {β : Type} [inst : Repr β] - :
                                                                                                                                                                                                                                                                Repr (SSA.UserType β)
                                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                                • SSA.UserType.instReprUserType = { reprPrec := SSA.UserType.instReprUserType.go }
                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                def + :
                                                                                                                                                                                                                                                                Repr (SSA.UserType β)
                                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                                • SSA.UserType.instReprUserType = { reprPrec := SSA.UserType.instReprUserType.go }
                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                def SSA.UserType.instReprUserType.go {β : Type} [inst : Repr β] - :
                                                                                                                                                                                                                                                                SSA.UserType β → ℕ → Lean.Format
                                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                                                                  source
                                                                                                                                                                                                                                                                  @[match_pattern]
                                                                                                                                                                                                                                                                  + :
                                                                                                                                                                                                                                                                  SSA.UserType β → ℕ → Lean.Format
                                                                                                                                                                                                                                                                  Equations
                                                                                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                    @[match_pattern]
                                                                                                                                                                                                                                                                    def SSA.UserType.UserType.ofBase {β : Type} - :
                                                                                                                                                                                                                                                                    β → SSA.UserType β
                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                    • SSA.UserType.UserType.ofBase = SSA.UserType.base
                                                                                                                                                                                                                                                                    Instances For
                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                      @[match_pattern]
                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                      β → SSA.UserType β
                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                      • SSA.UserType.UserType.ofBase = SSA.UserType.base
                                                                                                                                                                                                                                                                      Instances For
                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                        @[match_pattern]
                                                                                                                                                                                                                                                                        def SSA.UserType.UserType.ofPair {β : Type} :
                                                                                                                                                                                                                                                                        SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                        Equations
                                                                                                                                                                                                                                                                        Instances For
                                                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                                                          @[match_pattern]
                                                                                                                                                                                                                                                                          + | (b, b') => SSA.UserType.pair b b'
                                                                                                                                                                                                                                                                          Instances For
                                                                                                                                                                                                                                                                            source
                                                                                                                                                                                                                                                                            @[match_pattern]
                                                                                                                                                                                                                                                                            def SSA.UserType.UserType.ofTriple {β : Type} :
                                                                                                                                                                                                                                                                            SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                            Equations
                                                                                                                                                                                                                                                                            Instances For
                                                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                                                              @[match_pattern]
                                                                                                                                                                                                                                                                              + | (b₁, b₂, b₃) => SSA.UserType.triple b₁ b₂ b₃
                                                                                                                                                                                                                                                                              Instances For
                                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                                @[match_pattern]
                                                                                                                                                                                                                                                                                def SSA.UserType.UserType.ofUnit {β : Type} - :
                                                                                                                                                                                                                                                                                Unit → SSA.UserType β
                                                                                                                                                                                                                                                                                Equations
                                                                                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                                                                                  source
                                                                                                                                                                                                                                                                                  instance + :
                                                                                                                                                                                                                                                                                  Unit → SSA.UserType β
                                                                                                                                                                                                                                                                                  Equations
                                                                                                                                                                                                                                                                                  Instances For
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance SSA.UserType.instCoeUserType {β : Type} - :
                                                                                                                                                                                                                                                                                    Coe β (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeUserType = { coe := SSA.UserType.UserType.ofBase }
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance + :
                                                                                                                                                                                                                                                                                    Coe β (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeUserType = { coe := SSA.UserType.UserType.ofBase }
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance SSA.UserType.instCoeProdUserType {β : Type} - :
                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeProdUserType = { coe := SSA.UserType.UserType.ofPair }
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance + :
                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeProdUserType = { coe := SSA.UserType.UserType.ofPair }
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance SSA.UserType.instCoeProdUserType_1 {β : Type} - :
                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeProdUserType_1 = { coe := SSA.UserType.UserType.ofTriple }
                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                    instance + :
                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeProdUserType_1 = { coe := SSA.UserType.UserType.ofTriple }
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                                                                                                                                                                                                                                                                                    instance SSA.UserType.instCoeUnitUserType {β : Type} - :
                                                                                                                                                                                                                                                                                    Coe Unit (SSA.UserType β)
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                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeUnitUserType = { coe := SSA.UserType.UserType.ofUnit }
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                                                                                                                                                                                                                                                                                    instance + :
                                                                                                                                                                                                                                                                                    Coe Unit (SSA.UserType β)
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                                                                                                                                                                                                                                                                                    • SSA.UserType.instCoeUnitUserType = { coe := SSA.UserType.UserType.ofUnit }
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                                                                                                                                                                                                                                                                                    instance SSA.UserType.instCoeProdUserType_2 {α : Type u_1} @@ -68,20 +68,20 @@ :
                                                                                                                                                                                                                                                                                    Coe (α × α') (SSA.UserType β)
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                                                                                                                                                                                                                                                                                    instance + | (a, a') => SSA.UserType.pair (Coe.coe a) (Coe.coe a') }
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                                                                                                                                                                                                                                                                                    instance SSA.UserType.instInhabitedUserType {β : Type} - :
                                                                                                                                                                                                                                                                                    Inhabited (SSA.UserType β)
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                                                                                                                                                                                                                                                                                    • SSA.UserType.instInhabitedUserType = { default := SSA.UserType.unit }
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                                                                                                                                                                                                                                                                                    def + :
                                                                                                                                                                                                                                                                                    Inhabited (SSA.UserType β)
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                                                                                                                                                                                                                                                                                    • SSA.UserType.instInhabitedUserType = { default := SSA.UserType.unit }
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                                                                                                                                                                                                                                                                                    instance SSA.UserType.instGoedelUserType {β : Type} [inst : Goedel β] - :
                                                                                                                                                                                                                                                                                    Goedel (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instGoedelUserType = { toType := SSA.UserType.toType }
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                                                                                                                                                                                                                                                                                    def + :
                                                                                                                                                                                                                                                                                    Goedel (SSA.UserType β)
                                                                                                                                                                                                                                                                                    Equations
                                                                                                                                                                                                                                                                                    • SSA.UserType.instGoedelUserType = { toType := SSA.UserType.toType }
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                                                                                                                                                                                                                                                                                    def SSA.UserType.mkPair {β : Type} @@ -91,7 +91,7 @@ {k₂ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                    ⟦k₁⟧ → ⟦k₂⟧ → ⟦SSA.UserType.pair k₁ k₂⟧
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                                                                                                                                                                                                                                                                                      def + | k₁, k₂ => (k₁, k₂)
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                                                                                                                                                                                                                                                                                        def SSA.UserType.mkTriple {β : Type} @@ -103,7 +103,7 @@ {k₃ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                        ⟦k₁⟧ → ⟦k₂⟧ → ⟦k₃⟧ → ⟦SSA.UserType.triple k₁ k₂ k₃⟧
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                                                                                                                                                                                                                                                                                          def + | k₁, k₂, k₃ => (k₁, k₂, k₃)
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                                                                                                                                                                                                                                                                                            def SSA.UserType.fstPair {β : Type} @@ -113,7 +113,7 @@ {k₂ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                            ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
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                                                                                                                                                                                                                                                                                              def + | (k₁, snd) => k₁
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                                                                                                                                                                                                                                                                                                def SSA.UserType.sndPair {β : Type} @@ -123,7 +123,7 @@ {k₂ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                                ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
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                                                                                                                                                                                                                                                                                                  def + | (fst, k₂) => k₂
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                                                                                                                                                                                                                                                                                                    def SSA.UserType.fstTriple {β : Type} @@ -135,7 +135,7 @@ {k₃ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
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                                                                                                                                                                                                                                                                                                      def + | (k₁, fst, snd) => k₁
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                                                                                                                                                                                                                                                                                                        def SSA.UserType.sndTriple {β : Type} @@ -147,7 +147,7 @@ {k₃ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                                        ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
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                                                                                                                                                                                                                                                                                                          def + | (fst, k₂, snd) => k₂
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                                                                                                                                                                                                                                                                                                            def SSA.UserType.trdTriple {β : Type} @@ -159,7 +159,7 @@ {k₃ : SSA.UserType β} :
                                                                                                                                                                                                                                                                                                            ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
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                                                                                                                                                                                                                                                                                                              class + | (fst, fst_1, k₃) => k₃
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                                                                                                                                                                                                                                                                                                                class SSA.OperationTypes (Op : Type) @@ -174,7 +174,7 @@ domain and codomain of regions within the operation.
                                                                                                                                                                                                                                                                                                              • eval gives the actual evaluation semantics of the operation, by defining a function for every operation o : Op of type toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o).
                                                                                                                                                                                                                                                                                                                • -
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                                                                                                                                                                                                                                                                                                                  class +
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                                                                                                                                                                                                                                                                                                                    inductive SSA.Context (β : Type) - :
                                                                                                                                                                                                                                                                                                                    Type
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                                                                                                                                                                                                                                                                                                                      inductive + :
                                                                                                                                                                                                                                                                                                                      Type
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                                                                                                                                                                                                                                                                                                                        inductive SSA.Context.Var {β : Type} @@ -196,17 +196,17 @@ :
                                                                                                                                                                                                                                                                                                                        SSA.UserType β → Type
                                                                                                                                                                                                                                                                                                                        Instances For
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                                                                                                                                                                                                                                                                                                                          instance + {a' : SSA.UserType β} → {Γ : SSA.Context β} → SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
                                                                                                                                                                                                                                                                                                                        • last: {β : Type} → {Γ : SSA.Context β} → {v : SSA.Var} → {a : SSA.UserType β} → SSA.Context.Var (SSA.Context.snoc Γ v a) a
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                                                                                                                                                                                                                                                                                                                            instance SSA.instEmptyCollectionContext {α : Type} - :
                                                                                                                                                                                                                                                                                                                            EmptyCollection (SSA.Context α)
                                                                                                                                                                                                                                                                                                                            Equations
                                                                                                                                                                                                                                                                                                                            • SSA.instEmptyCollectionContext = { emptyCollection := SSA.Context.empty }
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                                                                                                                                                                                                                                                                                                                            def + :
                                                                                                                                                                                                                                                                                                                            EmptyCollection (SSA.Context α)
                                                                                                                                                                                                                                                                                                                            Equations
                                                                                                                                                                                                                                                                                                                            • SSA.instEmptyCollectionContext = { emptyCollection := SSA.Context.empty }
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                                                                                                                                                                                                                                                                                                                            def SSA.EnvC {β : Type} [inst : Goedel β] (c : SSA.Context β) - :
                                                                                                                                                                                                                                                                                                                            Type
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                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                              Type
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                                                                                                                                                                                                                                                                                                                                def SSA.Context.Var.emptyElim {P : Sort u_1} @@ -215,20 +215,20 @@ {a : SSA.UserType β} (v : SSA.Context.Var SSA.Context.empty a) - :
                                                                                                                                                                                                                                                                                                                                P
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                                                                                                                                                                                                                                                                                                                                  def + :
                                                                                                                                                                                                                                                                                                                                  P
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                                                                                                                                                                                                                                                                                                                                    def SSA.EnvC.empty {β : Type} [inst : Goedel β] - :
                                                                                                                                                                                                                                                                                                                                    SSA.EnvC SSA.Context.empty
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                                                                                                                                                                                                                                                                                                                                      instance + :
                                                                                                                                                                                                                                                                                                                                      SSA.EnvC SSA.Context.empty
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                                                                                                                                                                                                                                                                                                                                        instance SSA.instEmptyCollectionEnvCEmpty {β : Type} [inst : Goedel β] - :
                                                                                                                                                                                                                                                                                                                                        EmptyCollection (SSA.EnvC SSA.Context.empty)
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                                                                                                                                                                                                                                                                                                                                        • SSA.instEmptyCollectionEnvCEmpty = { emptyCollection := SSA.EnvC.empty }
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                                                                                                                                                                                                                                                                                                                                        inductive + :
                                                                                                                                                                                                                                                                                                                                        EmptyCollection (SSA.EnvC SSA.Context.empty)
                                                                                                                                                                                                                                                                                                                                        Equations
                                                                                                                                                                                                                                                                                                                                        • SSA.instEmptyCollectionEnvCEmpty = { emptyCollection := SSA.EnvC.empty }
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                                                                                                                                                                                                                                                                                                                                        inductive SSA.TSSAIndex (β : Type) - :
                                                                                                                                                                                                                                                                                                                                        Type
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                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                          Type
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                                                                                                                                                                                                                                                                                                                                            def SSA.TSSAIndex.eval {β : Type} @@ -236,7 +236,7 @@ :
                                                                                                                                                                                                                                                                                                                                            SSA.TSSAIndex β → Type
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                                                                                                                                                                                                                                                                                                                                              inductive + | SSA.TSSAIndex.REGION dom cod => ⟦dom⟧ → ⟦cod⟧
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                                                                                                                                                                                                                                                                                                                                                inductive SSA.TSSA (Op : Type) @@ -297,7 +297,7 @@ SSA.Context.Var Γ (SSA.UserType.region T₁ T₂) → SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)
                                                                                                                                                                                                                                                                                                                                              • var: {Op β : Type} → [inst : Goedel β] → [inst_1 : SSA.OperationTypes Op β] → - {Γ : SSA.Context β} → {T : SSA.UserType β} → SSA.Context.Var Γ T → SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)

                                                                                                                                                                                                                                                                                                                                                a variable.

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                                                                                                                                                                                                                                                                                                                                                  def + {Γ : SSA.Context β} → {T : SSA.UserType β} → SSA.Context.Var Γ T → SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)

                                                                                                                                                                                                                                                                                                                                                  a variable.

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                                                                                                                                                                                                                                                                                                                                                    def SSA.TSSA.eval {Op : Type} @@ -314,7 +314,7 @@ SSA.TSSA.eval body fun x v => match x, v with | x, SSA.Context.Var.prev v' => x x v' - | .(dom), SSA.Context.Var.last => arg
                                                                                                                                                                                                                                                                                                                                                  • SSA.TSSA.eval SSA.TSSA.rgn0 x = id
                                                                                                                                                                                                                                                                                                                                                  • SSA.TSSA.eval (SSA.TSSA.rgnvar v) x = x (SSA.UserType.region T₁ T₂) v
                                                                                                                                                                                                                                                                                                                                                  • SSA.TSSA.eval (SSA.TSSA.var v) x = x T v
                                                                                                                                                                                                                                                                                                                                                  • SSA.TSSA.eval SSA.TSSA.unit x = ()
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                                                                                                                                                                                                                                                                                                                                                      class + | .(dom), SSA.Context.Var.last => arg
                                                                                                                                                                                                                                                                                                                                                    • SSA.TSSA.eval SSA.TSSA.rgn0 x = id
                                                                                                                                                                                                                                                                                                                                                    • SSA.TSSA.eval (SSA.TSSA.rgnvar v) x = x (SSA.UserType.region T₁ T₂) v
                                                                                                                                                                                                                                                                                                                                                    • SSA.TSSA.eval (SSA.TSSA.var v) x = x T v
                                                                                                                                                                                                                                                                                                                                                    • SSA.TSSA.eval SSA.TSSA.unit x = ()
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                                                                                                                                                                                                                                                                                                                                                        def SSA.TSSAIndex.evalM {β : Type} [inst : Goedel β] (M : Type → Type) - :
                                                                                                                                                                                                                                                                                                                                                        SSA.TSSAIndex β → Type
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                                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                                          SSA.TSSAIndex β → Type
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                                                                                                                                                                                                                                                                                                                                                            def SSA.TSSA.evalM {Op : Type} @@ -358,72 +358,72 @@ SSA.TSSA.evalM body fun x v => match x, v with | x, SSA.Context.Var.prev v' => e v' - | .(dom), SSA.Context.Var.last => arg
                                                                                                                                                                                                                                                                                                                                                          • SSA.TSSA.evalM SSA.TSSA.rgn0 = fun x x => pure x
                                                                                                                                                                                                                                                                                                                                                          • SSA.TSSA.evalM (SSA.TSSA.rgnvar v) = fun e x => pure (e (SSA.UserType.region T₁ T₂) v x)
                                                                                                                                                                                                                                                                                                                                                          • SSA.TSSA.evalM (SSA.TSSA.var v) = fun e => pure (e v)
                                                                                                                                                                                                                                                                                                                                                          • SSA.TSSA.evalM SSA.TSSA.unit = fun x => pure ()
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                                                                                                                                                                                                                                                                                                                                                              def -EDSL.dsl_region.quot :
                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                def -EDSL.dsl_bb.quot :
                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                  def -EDSL.dsl_op.quot :
                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                    def -EDSL.dsl_expr.quot :
                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                      def -EDSL.dsl_stmt.quot :
                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                        def -EDSL.dsl_assign.quot :
                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                          def -EDSL.dsl_var.quot :
                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                            def -EDSL.dsl_val.quot :
                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                              def -EDSL.dsl_rgnvar.quot :
                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                def -EDSL.«term[dsl_op|_]» :
                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                  def + | .(dom), SSA.Context.Var.last => arg
                                                                                                                                                                                                                                                                                                                                                                                • SSA.TSSA.evalM SSA.TSSA.rgn0 = fun x x => pure x
                                                                                                                                                                                                                                                                                                                                                                                • SSA.TSSA.evalM (SSA.TSSA.rgnvar v) = fun e x => pure (e (SSA.UserType.region T₁ T₂) v x)
                                                                                                                                                                                                                                                                                                                                                                                • SSA.TSSA.evalM (SSA.TSSA.var v) = fun e => pure (e v)
                                                                                                                                                                                                                                                                                                                                                                                • SSA.TSSA.evalM SSA.TSSA.unit = fun x => pure ()
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                                                                                                                                                                                                                                                                                                                                                                                    def +EDSL.dsl_region.quot :
                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                      def +EDSL.dsl_bb.quot :
                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                        def +EDSL.dsl_op.quot :
                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                          def +EDSL.dsl_expr.quot :
                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                            def +EDSL.dsl_stmt.quot :
                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                              def +EDSL.dsl_assign.quot :
                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                def +EDSL.dsl_var.quot :
                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                  def +EDSL.dsl_val.quot :
                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                    def +EDSL.dsl_rgnvar.quot :
                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                      def +EDSL.«term[dsl_op|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                        def -EDSL.«dsl_exprOp:__,_» :
                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                          def -EDSL.«dsl_exprPair:__» :
                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                            def -EDSL.«dsl_exprTriple:___» :
                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                              def -EDSL.dsl_expr_ :
                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                def -EDSL.«dsl_assign_:=_» :
                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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                                                                                                                                                                                                                                                                                                                                                                                                                    def +EDSL.«dsl_exprOp:__,_» :
                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                      def +EDSL.«dsl_exprPair:__» :
                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                        def +EDSL.«dsl_exprTriple:___» :
                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                          def +EDSL.dsl_expr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                            def +EDSL.«dsl_assign_:=_» :
                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                              def -EDSL.«dsl_regionRgn{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                def -EDSL.«dsl_bb^bb_Dsl_ret_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                  def -EDSL.«dsl_regionRgn$(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                    structure -EDSL.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                      @[inline]
                                                                                                                                                                                                                                                                                                                                                                                                                                      + (Lean.ParserDescr.sepBy (Lean.ParserDescr.cat `dsl_assign 0) "" (Lean.ParserDescr.symbol ""))
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                                                                                                                                                                                                                                                                                                                                                                                                                                        def +EDSL.«dsl_regionRgn{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                          def +EDSL.«dsl_bb^bb_Dsl_ret_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                            def +EDSL.«dsl_regionRgn$(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                              structure +EDSL.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                              Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                @[inline]
                                                                                                                                                                                                                                                                                                                                                                                                                                                abbrev EDSL.SSAElabM (α : Type) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                  def EDSL.SSAElabContext.addVar (var : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                  EDSL.SSAElabM Unit
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                                                                                                                                                                                                                                                                                                                                                                                                                                                    def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabM Unit
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                                                                                                                                                                                                                                                                                                                                                                                                                                                      def EDSL.SSAElabContext.getIndex? (var : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                      EDSL.SSAElabM (Option ℕ)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -EDSL.dslVarToIx :
                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.TSyntax `dsl_var → Lean.MacroM ℕ

                                                                                                                                                                                                                                                                                                                                                                                                                                                        extract out the index (nat) of the dsl_var

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                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -EDSL.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ℕ → Lean.MacroM (Lean.TSyntax `term)

                                                                                                                                                                                                                                                                                                                                                                                                                                                          convert a de-bruijn into a intrinsically well typed context variable

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                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -EDSL.elabStxVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.TSyntax `dsl_var → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                              partial def -EDSL.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.TSyntax `dsl_region → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                              partial def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                              EDSL.SSAElabM (Option ℕ)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +EDSL.dslVarToIx :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.TSyntax `dsl_var → Lean.MacroM ℕ

                                                                                                                                                                                                                                                                                                                                                                                                                                                                extract out the index (nat) of the dsl_var

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +EDSL.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ℕ → Lean.MacroM (Lean.TSyntax `term)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                  convert a de-bruijn into a intrinsically well typed context variable

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def +EDSL.elabStxVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_var → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def +EDSL.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_region → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def EDSL.elabAssign (mkNext : EDSL.SSAElabM (Lean.TSyntax `term)) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def EDSL.elabStmt (ret : Lean.TSyntax `dsl_var) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def EDSL.elabStmt.go (ret : Lean.TSyntax `dsl_var) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def -EDSL.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_bb → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def -EDSL.«term[dsl_bb|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -EDSL.«term[dsl_region|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -Parser.Attr.Bind.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -Parser.Attr.Option.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -Parser.Attr.TypedUserSemantics.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def -Parser.Attr.TypedUserSemantics.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def -Parser.Attr.TypedUserSemantics.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def -Parser.Attr.TypedUserSemantics.regionDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      partial def +EDSL.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.TSyntax `dsl_bb → EDSL.SSAElabM (Lean.TSyntax `term)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def +EDSL.«term[dsl_bb|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def +EDSL.«term[dsl_region|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def +Parser.Attr.Bind.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +Parser.Attr.Option.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +Parser.Attr.TypedUserSemantics.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +Parser.Attr.TypedUserSemantics.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +Parser.Attr.TypedUserSemantics.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def +Parser.Attr.TypedUserSemantics.regionDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def Parser.Attr.TypedUserSemantics.regionCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \ No newline at end of file diff --git a/SSA/Projects/InstCombine/Alive.html b/SSA/Projects/InstCombine/Alive.html index a71408c1e..6ac6e5106 100644 --- a/SSA/Projects/InstCombine/Alive.html +++ b/SSA/Projects/InstCombine/Alive.html @@ -1,6 +1,6 @@ SSA.Projects.InstCombine.Alive

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Documentation

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        SSA.Projects.InstCombine.Alive

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem +
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1043 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -105,7 +105,7 @@ (SSA.TSSA.assign 15 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -123,7 +123,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1156 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -139,7 +139,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1164 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -173,7 +173,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1165 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -260,7 +260,7 @@ (SSA.TSSA.assign 13 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1176 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -294,7 +294,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1202 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -341,7 +341,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))) (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1295 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -381,7 +381,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1309 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -421,7 +421,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1539 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -455,7 +455,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1539_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -475,7 +475,7 @@ (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last) (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1556 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -493,7 +493,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1560 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -511,7 +511,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1564 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -559,7 +559,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1574 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -601,7 +601,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1614 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -633,7 +633,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1619 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -664,7 +664,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AddSub_1624 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -704,7 +704,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_135 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -755,7 +755,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_144 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -809,7 +809,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_698 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -999,7 +999,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_709 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1133,7 +1133,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_716 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1263,7 +1263,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_794 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1309,7 +1309,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_827 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1406,7 +1406,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_887_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1451,7 +1451,7 @@ SSA.TSSA.rgn0) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1230__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1541,7 +1541,7 @@ (SSA.TSSA.assign 13 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1241_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1615,7 +1615,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1247_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1691,7 +1691,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1253_A__AB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1727,7 +1727,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1280_ABA___AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1776,7 +1776,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1288_A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1868,7 +1868,7 @@ (SSA.TSSA.assign 14 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1294_A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1946,7 +1946,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1683_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -1992,7 +1992,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1683_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2037,7 +2037,7 @@ SSA.TSSA.rgn0) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1704 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2116,7 +2116,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1705 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2197,7 +2197,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_1733 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2294,7 +2294,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2352,7 +2352,7 @@ (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2113___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2401,7 +2401,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2118___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2450,7 +2450,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2123___A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2515,7 +2515,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2188 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2623,7 +2623,7 @@ (SSA.TSSA.assign 14 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2231__A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2695,7 +2695,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2243__B__C__A__B___B__A__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2755,7 +2755,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2247__A__B__A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2845,7 +2845,7 @@ (SSA.TSSA.assign 13 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2263 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2873,7 +2873,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2264 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2941,7 +2941,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2265 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -2981,7 +2981,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2284 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3049,7 +3049,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2285 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3117,7 +3117,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2297 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3187,7 +3187,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2367 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3228,7 +3228,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2416 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3299,7 +3299,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2417 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3371,7 +3371,7 @@ (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2429 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3428,7 +3428,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2430 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3486,7 +3486,7 @@ (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2443 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3539,7 +3539,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2453 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3572,7 +3572,7 @@ (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2475 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3615,7 +3615,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2486 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3657,7 +3657,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2581__BAB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3693,7 +3693,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2587__BAA___B__A :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3731,7 +3731,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2595 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3771,7 +3771,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2607 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -3885,7 +3885,7 @@ (SSA.TSSA.assign 14 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2617 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4001,7 +4001,7 @@ (SSA.TSSA.assign 14 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2627 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4087,7 +4087,7 @@ (SSA.TSSA.assign 14 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2647 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4127,7 +4127,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2658 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4245,7 +4245,7 @@ (SSA.TSSA.assign 15 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_AndOrXor_2663 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4291,7 +4291,7 @@ (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4309,7 +4309,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_160 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4352,7 +4352,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_229 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4401,7 +4401,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4460,7 +4460,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_275 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4494,7 +4494,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_275_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4528,7 +4528,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_276 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4594,7 +4594,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_276_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4660,7 +4660,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_283 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4678,7 +4678,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_290__292 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4712,7 +4712,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_820 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4753,7 +4753,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_820' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4794,7 +4794,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))) (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_891 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4828,7 +4828,7 @@ (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_1030 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4846,7 +4846,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_846 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4870,7 +4870,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_850 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4902,7 +4902,7 @@ (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_855 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4925,7 +4925,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_859 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4956,7 +4956,7 @@ (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_851 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4976,7 +4976,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_852 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -4996,7 +4996,7 @@ (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last) (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_1100 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5016,7 +5016,7 @@ (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_Select_1105 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5036,7 +5036,7 @@ (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5076,7 +5076,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__279 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5116,7 +5116,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__351 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5160,7 +5160,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__422_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5257,7 +5257,7 @@ (SSA.TSSA.assign 16 (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__422_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5354,7 +5354,7 @@ (SSA.TSSA.assign 16 (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__440 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5488,7 +5488,7 @@ (SSA.TSSA.assign 18 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__458 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5584,7 +5584,7 @@ (SSA.TSSA.assign 16 (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))) - e
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__476 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5717,7 +5717,7 @@ (SSA.TSSA.assign 18 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))) - e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__497 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5768,7 +5768,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__497''' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5819,7 +5819,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))))) - e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__582 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit @@ -5859,7 +5859,7 @@ SSA.Context.Var.last) (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0) (SSA.TSSA.ret SSA.Context.Var.last))))))))))) - e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem alive_InstCombineShift__724 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31), SSA.TSSA.eval (SSA.TSSA.assign 0 SSA.TSSA.unit diff --git a/SSA/Projects/InstCombine/AliveStatements.html b/SSA/Projects/InstCombine/AliveStatements.html index 0da5a8c03..30adf6f86 100644 --- a/SSA/Projects/InstCombine/AliveStatements.html +++ b/SSA/Projects/InstCombine/AliveStatements.html @@ -1,6 +1,6 @@ SSA.Projects.InstCombine.AliveStatements

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Documentation

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        SSA.Projects.InstCombine.AliveStatements

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1043 (w : ℕ) @@ -9,90 +9,90 @@ (Z : Bitvec w) (RHS : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Z &&& C1 ^^^ C1) + 1 + RHS = RHS - (Z ||| ~~~C1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Z &&& C1 ^^^ C1) + 1 + RHS = RHS - (Z ||| ~~~C1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1152 (y : Bitvec 1) (x : Bitvec 1) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x + y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x + y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1156 (w : ℕ) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        b + b = b <<< 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        b + b = b <<< 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1164 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0 - a + b = b - a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0 - a + b = b - a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1165 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0 - a + (0 - b) = 0 - (a + b)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0 - a + (0 - b) = 0 - (a + b)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1176 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a + (0 - b) = a - b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a + (0 - b) = a - b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1202 (w : ℕ) (x : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (x ^^^ -1) + C = C - 1 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (x ^^^ -1) + C = C - 1 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1295 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a &&& b) + (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a &&& b) + (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1309 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a &&& b) + (a ||| b) = a + b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a &&& b) + (a ||| b) = a + b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1539 (w : ℕ) (a : Bitvec w) (x : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - (0 - a) = x + a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - (0 - a) = x + a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1539_2 (w : ℕ) (x : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - C = x + -C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - C = x + -C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1556 (y : Bitvec 1) (x : Bitvec 1) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x - y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1560 (w : ℕ) (a : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -1 - a = a ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -1 - a = a ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1564 (w : ℕ) (x : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - (x ^^^ -1) = x + (C + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - (x ^^^ -1) = x + (C + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1574 (w : ℕ) @@ -101,28 +101,28 @@ (C : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - (X + C2) = C - C2 - X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - (X + C2) = C - C2 - X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1614 (w : ℕ) (Y : Bitvec w) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X - (X + Y) = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X - (X + Y) = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1619 (w : ℕ) (Y : Bitvec w) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X - Y - X = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X - Y - X = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AddSub_1624 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) - (A ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) - (A ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_135 (w : ℕ) @@ -131,7 +131,7 @@ (C1 : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ^^^ C1) &&& C2 = X &&& C2 ^^^ C1 &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ^^^ C1) &&& C2 = X &&& C2 ^^^ C1 &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_144 (w : ℕ) @@ -140,7 +140,7 @@ (C1 : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ||| C1) &&& C2 = (X ||| C1 &&& C2) &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ||| C1) &&& C2 = (X ||| C1 &&& C2) &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_698 (w : ℕ) @@ -149,7 +149,7 @@ (b : Bitvec w) (d : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_709 (w : ℕ) @@ -158,7 +158,7 @@ (b : Bitvec w) (d : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_716 (w : ℕ) @@ -167,63 +167,63 @@ (b : Bitvec w) (d : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_827 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1230__A__B___A__B (w : ℕ) (notOp0 : Bitvec w) (notOp1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (notOp0 ^^^ -1) &&& (notOp1 ^^^ -1) = (notOp0 ||| notOp1) ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (notOp0 ^^^ -1) &&& (notOp1 ^^^ -1) = (notOp0 ||| notOp1) ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1241_AB__AB__AB (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) &&& (A &&& B ^^^ -1) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) &&& (A &&& B ^^^ -1) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1247_AB__AB__AB (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A &&& B ^^^ -1) &&& (A ||| B) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A &&& B ^^^ -1) &&& (A ||| B) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1253_A__AB___A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ B) &&& A = A &&& (B ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ B) &&& A = A &&& (B ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1280_ABA___AB (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ -1 ||| B) &&& A = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ -1 ||| B) &&& A = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C (w : ℕ) @@ -232,49 +232,49 @@ (C : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ B) &&& (B ^^^ C ^^^ A) = (A ^^^ B) &&& (C ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ B) &&& (B ^^^ C ^^^ A) = (A ^^^ B) &&& (C ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1294_A__B__A__B___A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) &&& (A ^^^ -1 ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ||| B) &&& (A ^^^ -1 ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_1733 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 (w : ℕ) @@ -283,35 +283,35 @@ (C1 : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x ^^^ C1 ||| C = (x ||| C) ^^^ C1 &&& ~~~C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x ^^^ C1 ||| C = (x ||| C) ^^^ C1 &&& ~~~C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2113___A__B__A___A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ -1) &&& B ||| A = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (A ^^^ -1) &&& B ||| A = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2118___A__B__A___A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ -1 = A ^^^ -1 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ -1 = A ^^^ -1 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2123___A__B__A__B___A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& (B ^^^ -1) ||| A ^^^ B = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& (B ^^^ -1) ||| A ^^^ B = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2188 (w : ℕ) (A : Bitvec w) (D : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& (D ^^^ -1) ||| (A ^^^ -1) &&& D = A ^^^ D
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& (D ^^^ -1) ||| (A ^^^ -1) &&& D = A ^^^ D
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C (w : ℕ) @@ -320,7 +320,7 @@ (C : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ^^^ B ||| B ^^^ C ^^^ A = A ^^^ B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ^^^ B ||| B ^^^ C ^^^ A = A ^^^ B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2243__B__C__A__B___B__A__C (w : ℕ) @@ -329,56 +329,56 @@ (C : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (B ||| C) &&& A ||| B = B ||| A &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (B ||| C) &&& A ||| B = B ||| A &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2247__A__B__A__B (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ^^^ -1 ||| B ^^^ -1 = A &&& B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ^^^ -1 ||| B ^^^ -1 = A &&& B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2263 (w : ℕ) (B : Bitvec w) (op0 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        op0 ||| op0 ^^^ B = op0 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        op0 ||| op0 ^^^ B = op0 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2264 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| A ^^^ -1 ^^^ B = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| A ^^^ -1 ^^^ B = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2265 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ B = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ B = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2284 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| (A ||| B) ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| (A ||| B) ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2285 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| A ^^^ B ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| A ^^^ B ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2297 (w : ℕ) (A : Bitvec w) (B : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ -1 ^^^ B = A ^^^ -1 ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A &&& B ||| A ^^^ -1 ^^^ B = A ^^^ -1 ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2367 (w : ℕ) @@ -387,98 +387,98 @@ (C1 : Bitvec w) (op1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| C1 ||| op1 = A ||| op1 ||| C1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        A ||| C1 ||| op1 = A ||| op1 ||| C1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2416 (w : ℕ) (nx : Bitvec w) (y : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (nx ^^^ -1) &&& y ^^^ -1 = nx ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (nx ^^^ -1) &&& y ^^^ -1 = nx ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2417 (w : ℕ) (nx : Bitvec w) (y : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (nx ^^^ -1 ||| y) ^^^ -1 = nx &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (nx ^^^ -1 ||| y) ^^^ -1 = nx &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2429 (w : ℕ) (y : Bitvec w) (x : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x &&& y ^^^ -1 = x ^^^ -1 ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x &&& y ^^^ -1 = x ^^^ -1 ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2430 (w : ℕ) (y : Bitvec w) (x : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (x ||| y) ^^^ -1 = (x ^^^ -1) &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (x ||| y) ^^^ -1 = (x ^^^ -1) &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2475 (w : ℕ) (x : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - x ^^^ -1 = x + (-1 - C)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        C - x ^^^ -1 = x + (-1 - C)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2486 (w : ℕ) (x : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x + C ^^^ -1 = -1 - C - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x + C ^^^ -1 = -1 - C - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2581__BAB___A__B (w : ℕ) (a : Bitvec w) (op1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a ||| op1) ^^^ op1 = a &&& (op1 ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a ||| op1) ^^^ op1 = a &&& (op1 ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2587__BAA___B__A (w : ℕ) (a : Bitvec w) (op1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& op1 ^^^ op1 = (a ^^^ -1) &&& op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& op1 ^^^ op1 = (a ^^^ -1) &&& op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2595 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& b ^^^ (a ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& b ^^^ (a ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2607 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a ||| b ^^^ -1) ^^^ (a ^^^ -1 ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (a ||| b ^^^ -1) ^^^ (a ^^^ -1 ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2617 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& (b ^^^ -1) ^^^ (a ^^^ -1) &&& b = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& (b ^^^ -1) ^^^ (a ^^^ -1) &&& b = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2627 (w : ℕ) @@ -487,40 +487,40 @@ (c : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a ^^^ c ^^^ (a ||| b) = (a ^^^ -1) &&& b ^^^ c
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a ^^^ c ^^^ (a ||| b) = (a ^^^ -1) &&& b ^^^ c
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2647 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& b ^^^ (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& b ^^^ (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_AndOrXor_2658 (w : ℕ) (a : Bitvec w) (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& (b ^^^ -1) ^^^ (a ^^^ -1) = a &&& b ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        a &&& (b ^^^ -1) ^^^ (a ^^^ -1) = a &&& b ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_152 (w : ℕ) (x : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x * -1 = 0 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x * -1 = 0 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_160 (x : Bitvec 7) (C1 : Bitvec 7) (C2 : Bitvec 7) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x <<< C2 * C1 = x * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x <<< C2 * C1 = x * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_229 (w : ℕ) @@ -529,145 +529,145 @@ (C1 : Bitvec w) (Op1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X + C1) * Op1 = X * Op1 + C1 * Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X + C1) * Op1 = X * Op1 + C1 * Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_239 (w : ℕ) (Y : Bitvec w) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (0 - X) * (0 - Y) = X * Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (0 - X) * (0 - Y) = X * Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_275 (Y : Bitvec 5) (X : Bitvec 5) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_275_2 (Y : Bitvec 5) (X : Bitvec 5) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_276 (Y : Bitvec 5) (X : Bitvec 5) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_276_2 (Y : Bitvec 5) (X : Bitvec 5) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_283 (Y : Bitvec 1) (X : Bitvec 1) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X * Y = X &&& Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X * Y = X &&& Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_290__292 (w : ℕ) (Y : Bitvec w) (Op1 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1 <<< Y * Op1 = Op1 <<< Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1 <<< Y * Op1 = Op1 <<< Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_820 (X : Bitvec 9) (Op1 : Bitvec 9) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_820' (X : Bitvec 9) (Op1 : Bitvec 9) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_891 (x : Bitvec 13) (N : Bitvec 13) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_1030 (w : ℕ) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.sdiv? X (-1) ⊑ some (0 - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.sdiv? X (-1) ⊑ some (0 - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_Select_851 (a : Bitvec 1) (b : Bitvec 1) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select a b a = a &&& b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select a b a = a &&& b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_Select_852 (a : Bitvec 1) (b : Bitvec 1) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select a a b = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select a a b = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_Select_1100 (w : ℕ) (Y : Bitvec w) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select (Bitvec.ofBool true) X Y = X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_Select_1105 (w : ℕ) (Y : Bitvec w) (X : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select (Bitvec.ofBool false) X Y = Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec.select (Bitvec.ofBool false) X Y = Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__239 (w : ℕ) (X : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__279 (w : ℕ) (X : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X >>> C <<< C = X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X >>> C <<< C = X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__351 (X : Bitvec 7) (C1 : Bitvec 7) (C2 : Bitvec 7) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X * C1) <<< C2 = X * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X * C1) <<< C2 = X * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__422_1 (Y : Bitvec 31) (X : Bitvec 31) (C : Bitvec 31) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y + X >>> C) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y + X >>> C) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__422_2 (Y : Bitvec 31) (X : Bitvec 31) (C : Bitvec 31) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__440 (w : ℕ) @@ -678,14 +678,14 @@ (C : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y ^^^ X >>> C &&& C2) <<< C = X &&& C2 <<< C ^^^ Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Y ^^^ X >>> C &&& C2) <<< C = X &&& C2 <<< C ^^^ Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__458 (Y : Bitvec 31) (X : Bitvec 31) (C : Bitvec 31) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__476 (w : ℕ) @@ -696,7 +696,7 @@ (C : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X >>> C &&& C2 ||| Y) <<< C = X &&& C2 <<< C ||| Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X >>> C &&& C2 ||| Y) <<< C = X &&& C2 <<< C ||| Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__497 (w : ℕ) @@ -705,7 +705,7 @@ (C : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ^^^ C2) >>> C = X >>> C ^^^ C2 >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X ^^^ C2) >>> C = X >>> C ^^^ C2 >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__497''' (w : ℕ) @@ -714,14 +714,14 @@ (C : Bitvec w) (C2 : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X + C2) <<< C = X <<< C + C2 <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (X + C2) <<< C = X <<< C + C2 <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__582 (w : ℕ) (X : Bitvec w) (C : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem bitvec_InstCombineShift__724 (A : Bitvec 31) diff --git a/SSA/Projects/InstCombine/Base.html b/SSA/Projects/InstCombine/Base.html index fa0b07922..c22efb06c 100644 --- a/SSA/Projects/InstCombine/Base.html +++ b/SSA/Projects/InstCombine/Base.html @@ -1,30 +1,30 @@ SSA.Projects.InstCombine.Base

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Documentation

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        SSA.Projects.InstCombine.Base

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        inductive -InstCombine.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          inductive +InstCombine.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            instance InstCombine.instReprBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Repr InstCombine.BaseType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            instance + | InstCombine.BaseType.bitvec w, x => Std.Format.text "i" ++ repr w }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            instance InstCombine.instInhabitedBaseType {w : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Inhabited InstCombine.BaseType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Inhabited InstCombine.BaseType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.Bitvec.width {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec n → ℕ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Bitvec n → ℕ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                instance + | InstCombine.BaseType.bitvec w => Option (Bitvec w) }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                instance InstCombine.instReprBitvec {n : ℕ} :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Repr (Bitvec n)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • InstCombine.instReprBitvec = { reprPrec := fun x x_1 => match x, x_1 with - | v, n => reprPrec (Bitvec.toInt v) n }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                @[inline]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                + | v, n => reprPrec (Bitvec.toInt v) n }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                inductive InstCombine.Comparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Type

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                eq: yields true if the operands are equal, false otherwise. No sign interpretation is necessary or performed. ne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed. ugt: interprets the operands as unsigned values and yields true if op1 is greater than op2. @@ -34,71 +34,71 @@ sgt: interprets the operands as signed values and yields true if op1 is greater than op2. sge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2. slt: interprets the operands as signed values and yields true if op1 is less than op2. -sle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  instance +sle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def -InstCombine.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def -InstCombine.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -InstCombine.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -InstCombine.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + else isFalse (_ : x = y → False)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +InstCombine.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +InstCombine.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +InstCombine.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +InstCombine.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  InstCombine.Op → InstCombine.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.eval (o : InstCombine.Op) (arg : ⟦InstCombine.argUserType o⟧) (_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦InstCombine.outUserType o⟧
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ⟦InstCombine.outUserType o⟧
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def InstCombine.dsl_opAdd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "add") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.dsl_opAnd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "and") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def InstCombine.dsl_opConst_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "const") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opLshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "lshr") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def InstCombine.dsl_opAshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "ashr") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.dsl_opNot_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "not") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def InstCombine.dsl_opOr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "or") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opShl_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "shl") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def InstCombine.dsl_opSub_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sub") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.dsl_opXor_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "xor") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def InstCombine.dsl_opNeg_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "neg") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opCopy_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "copy") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def InstCombine.dsl_opMul_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "mul") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.dsl_opSdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sdiv") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def InstCombine.dsl_opUdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "udiv") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opUrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "urem") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def InstCombine.dsl_opSrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "srem") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def InstCombine.dsl_opSelect_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "select") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def InstCombine.dsl_opIcmp_eq_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp eq") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opIcmp_ne_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def -InstCombine.dsl_opIcmp_ugt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -InstCombine.dsl_opIcmp_uge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -InstCombine.dsl_opIcmp_ult_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -InstCombine.dsl_opIcmp_ule_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -InstCombine.dsl_opIcmp_sgt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def -InstCombine.dsl_opIcmp_sge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def -InstCombine.dsl_opIcmp_slt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp ne") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def +InstCombine.dsl_opIcmp_ugt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def +InstCombine.dsl_opIcmp_uge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def +InstCombine.dsl_opIcmp_ult_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +InstCombine.dsl_opIcmp_ule_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +InstCombine.dsl_opIcmp_sgt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +InstCombine.dsl_opIcmp_sge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +InstCombine.dsl_opIcmp_slt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def InstCombine.dsl_opIcmp_sle_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \ No newline at end of file diff --git a/SSA/Projects/InstCombine/ForMathlib.html b/SSA/Projects/InstCombine/ForMathlib.html index 92f03d15d..829f668c1 100644 --- a/SSA/Projects/InstCombine/ForMathlib.html +++ b/SSA/Projects/InstCombine/ForMathlib.html @@ -1,11 +1,11 @@ SSA.Projects.InstCombine.ForMathlib

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Documentation

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Vector.instGetElemVectorFinTrue {α : Type u} {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      GetElem (Vector α n) (Fin n) α fun x x => True
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Vector.instGetElemVectorFinTrue = { getElem := fun v i x => (↑v)[↑i] }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      GetElem (Vector α n) (Fin n) α fun x x => True
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Vector.instGetElemVectorFinTrue = { getElem := fun v i x => (↑v)[↑i] }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Vector.getElem_eq_get {α : Type u} @@ -15,82 +15,82 @@ (v : Vector α n) (i : Fin n) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      v[i] = Vector.get v i
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      v[i] = Vector.get v i
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def Bitvec.width {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec n → ℕ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Bitvec n → ℕ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance Bitvec.instGetElemBitvecFinBoolTrue {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          GetElem (Bitvec n) (Fin n) Bool fun x x => True
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • Bitvec.instGetElemBitvecFinBoolTrue = { getElem := fun v i x => (↑v)[↑i] }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          GetElem (Bitvec n) (Fin n) Bool fun x x => True
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • Bitvec.instGetElemBitvecFinBoolTrue = { getElem := fun v i x => (↑v)[↑i] }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance Bitvec.instInhabitedBitvec (n : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Inhabited (Bitvec n)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Inhabited (Bitvec n)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def Bitvec.Fun (width : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def Bitvec.ofFun {width : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Bitvec.Fun width → Bitvec width

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              convert Bitvec n to Fin n → Bool

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • Bitvec.ofFun = Vector.ofFn
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Bitvec.Fun width → Bitvec width

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                convert Bitvec n to Fin n → Bool

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • Bitvec.ofFun = Vector.ofFn
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def Bitvec.toFun {width : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Bitvec width → Bitvec.Fun width

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  convert Fin n → Bool to Bitvec n

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • Bitvec.toFun = Vector.get
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec width → Bitvec.Fun width

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    convert Fin n → Bool to Bitvec n

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • Bitvec.toFun = Vector.get
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Bitvec.instCoeFunBitvec {width : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Coe (Bitvec.Fun width) (Bitvec width)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instCoeFunBitvec = { coe := Bitvec.ofFun }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Coe (Bitvec.Fun width) (Bitvec width)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instCoeFunBitvec = { coe := Bitvec.ofFun }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Bitvec.instCoeBitvecFun {width : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Coe (Bitvec width) (Bitvec.Fun width)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instCoeBitvecFun = { coe := Bitvec.toFun }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Coe (Bitvec width) (Bitvec.Fun width)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instCoeBitvecFun = { coe := Bitvec.toFun }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def Bitvec.ofVector {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Vector Bool n → Bitvec n
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.ofVector = id
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Vector Bool n → Bitvec n
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • Bitvec.ofVector = id
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟶") (Lean.ParserDescr.cat `term 1024))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟷") (Lean.ParserDescr.cat `term 1024))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def Bitvec.toZMod {n : ℕ} (x : Bitvec n) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ZMod (2 ^ n)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ZMod (2 ^ n)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def Bitvec.ofZMod {n : ℕ} (x : ZMod (2 ^ n)) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Bitvec n
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toZMod_ofZMod {n : ℕ} (i : ZMod (2 ^ n)) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod (Bitvec.ofZMod i) = i
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.foldl_addLsb_cons_zero (a : Bool) (x : List Bool) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toNat_adc_aux {x : List Bool} @@ -99,19 +99,19 @@ (_h : List.length x = List.length y) :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.foldl Bitvec.addLsb (Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst) - (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toNat_tail {n : ℕ} (x : Bitvec n) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toNat_add {n : ℕ} @@ -119,66 +119,66 @@ (x : Bitvec n) (y : Bitvec n) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.ofZMod_add {n : ℕ} (x : ZMod (2 ^ n)) (y : ZMod (2 ^ n)) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.zero_def {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toNat_zero {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.ofNat_zero {w : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofNat w 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofNat w 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toZMod_zero {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.ofZMod_zero {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toNat_one {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat 1 = if n = 0 then 0 else 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toNat 1 = if n = 0 then 0 else 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toZMod_one {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.ofZMod_one {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.ofZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Bitvec.instSMulNatBitvec {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      SMul ℕ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instSMulNatBitvec = { smul := nsmulRec }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      SMul ℕ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instSMulNatBitvec = { smul := nsmulRec }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.nsmul_def {n : ℕ} (x : Bitvec n) (y : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      y • x = nsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      y • x = nsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toZMod_nsmul {n : ℕ} @@ -186,49 +186,49 @@ (x : Bitvec n) (y : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toInt_sub_aux {x : List Bool} {y : List Bool} (_hx : List.length x = List.length y) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toInt_neg_aux (x : List Bool) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Bitvec.instSMulIntBitvec {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      SMul ℤ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instSMulIntBitvec = { smul := zsmulRec }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      SMul ℤ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Bitvec.instSMulIntBitvec = { smul := zsmulRec }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.zsmul_def {n : ℕ} (x : Bitvec n) (y : ℤ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      y • x = zsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      y • x = zsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      @[simp]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toZMod_zsmul {n : ℕ} @@ -236,10 +236,10 @@ (x : Bitvec n) (y : ℤ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      instance Bitvec.instAddCommGroupBitvec {n : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      AddCommGroup (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      AddCommGroup (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def Bitvec.add? {n : ℕ} @@ -248,7 +248,7 @@ (y : Bitvec n) :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Option (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + | x => none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Instances For
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem Bitvec.some_add?_eq_add {n : ℕ} @@ -257,7 +257,7 @@ {y : Bitvec n} {z : Bitvec n} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Bitvec.add? x y = some z → x + y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Bitvec.add? x y = some z → x + y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def Bitvec.mul? {n : ℕ} @@ -268,7 +268,7 @@ let op₁ ← Bitvec.add? r r let op₂ ← Bitvec.add? op₁ y pure (bif b then op₂ else op₁); - List.foldlM f 0 (Vector.toList x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Instances For
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + List.foldlM f 0 (Vector.toList x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Instances For
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              theorem Bitvec.mul?_some_eq_mul {n : ℕ} @@ -277,7 +277,7 @@ {y : Bitvec n} {z : Bitvec n} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Bitvec.mul? x y = some z → x * y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Bitvec.mul? x y = some z → x * y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def Bitvec.udiv? {w : ℕ} @@ -288,7 +288,7 @@ Note that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’. Division by zero is undefined behavior.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def + | x => some (Bitvec.ofNat w (Bitvec.toNat x / Bitvec.toNat y))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Instances For
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def Bitvec.sdiv? {w : ℕ} @@ -301,7 +301,7 @@ Overflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def + if div < 2 ^ w then some (Bitvec.ofInt w div) else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Instances For
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      source
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def Bitvec.urem? {w : ℕ} @@ -310,17 +310,17 @@ (y : Bitvec w) :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Option (Bitvec w)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder. Note that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’. -Taking the remainder of a division by zero is undefined behavior.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def +Taking the remainder of a division by zero is undefined behavior.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def Int.rem (x : ℤ) (y : ℤ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ℤ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ℤ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              theorem Int.rem_sign_dividend (x : ℤ) (y : ℤ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Int.rem x y < 0 ↔ x < 0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Int.rem x y < 0 ↔ x < 0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def Bitvec.srem? {w : ℕ} @@ -337,7 +337,7 @@ Overflow also leads to undefined behavior; this is a rare case, but can occur, for example, by taking the remainder of a 32-bit division of -2147483648 by -1. (The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result -of the division and the remainder.)

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +of the division and the remainder.)

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def Bitvec.select {w : ℕ} @@ -346,14 +346,14 @@ (x : Bitvec w) (y : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Bitvec w

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec w

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.bitwise_eq_eq {w : ℕ} {x : Bitvec w} {y : Bitvec w} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (∀ (i : Fin w), x[i] = y[i]) ↔ x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      (∀ (i : Fin w), x[i] = y[i]) ↔ x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.ext_get? {w : ℕ} @@ -362,7 +362,7 @@ {y : Bitvec w} (h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.toList_cong {w₁ : ℕ} @@ -372,7 +372,7 @@ (h : w₁ = w₂) (b : Bitvec w₁) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Vector.toList (Bitvec.cong h b) = Vector.toList b
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.get?_shl {n : ℕ} @@ -381,7 +381,7 @@ (i : ℕ) (j : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.get?_ushr {n : ℕ} @@ -390,7 +390,7 @@ (i : ℕ) (j : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.get?_and {n : ℕ} @@ -402,39 +402,39 @@ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.and x y)) i = do let __do_lift ← List.get? (Vector.toList x) i let __do_lift_1 ← List.get? (Vector.toList y) i - pure (__do_lift && __do_lift_1)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + pure (__do_lift && __do_lift_1)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem Bitvec.get?_ofInt_neg_one {w : ℕ} {i : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      inductive Bitvec.Refinement {α : Type u} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Option α → Option α → Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Option α → Option α → Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem Bitvec.Refinement.some_some {α : Type u} {x : α} {y : α} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          some x ⊑ some y ↔ x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          some x ⊑ some y ↔ x = y
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem Bitvec.Refinement.Refinement.refl {α : Type u} (x : Option α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          x ⊑ x
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          x ⊑ x
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem Bitvec.Refinement.Refinement.trans {α : Type u} @@ -443,34 +443,34 @@ (y : Option α) (z : Option α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          x ⊑ y → y ⊑ z → x ⊑ z
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          x ⊑ y → y ⊑ z → x ⊑ z
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance Bitvec.Refinement.instDecidableRelOptionRefinement {α : Type u} [inst : DecidableEq α] - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          DecidableRel Bitvec.Refinement
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          DecidableRel Bitvec.Refinement
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊑ ") (Lean.ParserDescr.cat `term 51))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            instance Bitvec.instDecidableEqBitvec {w : ℕ} - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            DecidableEq (Bitvec w)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • Bitvec.instDecidableEqBitvec = inferInstance
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            DecidableEq (Bitvec w)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • Bitvec.instDecidableEqBitvec = inferInstance
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Function.Injective Bitvec.toInt
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.toInt 0 = 0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Bitvec.toInt_eq_zero {w : ℕ} (b : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.toInt b = 0 ↔ b = 0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.toInt b = 0 ↔ b = 0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Bitvec.toInt_one {w : ℕ} (_hw : 1 < w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.toInt 1 = 1
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.toInt 1 = 1
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Bitvec.one_sdiv_eq_add_cmp_select_some {w : ℕ} @@ -479,7 +479,7 @@ (hw : w > 1) (hx : x ≠ 0) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + (Bitvec.ofNat w 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def Bitvec.beq {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Bool
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -Bitvec.ofBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Bool → Bitvec 1
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Bool
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +Bitvec.ofBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Bool → Bitvec 1
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Bitvec.toBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec 1 → Bool
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + | { val := [b], property := (_ : Nat.succ (List.length []) = Nat.succ 0) } => b
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        instance Bitvec.decPropToBitvec1 (p : Prop) [inst : Decidable p] - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        CoeDep Prop p (Bitvec 1)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -Bitvec.«term_>>>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.TrailingParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          CoeDep Prop p (Bitvec 1)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def +Bitvec.«term_>>>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.TrailingParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def Bitvec.ult {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Bitvec.ule {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Bitvec.ugt {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Bitvec.uge {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def Bitvec.slt {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Prop
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Bitvec.sle {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Bitvec.sgt {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Bitvec.sge {w : ℕ} (x : Bitvec w) (y : Bitvec w) - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          instance + :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ᵤ ") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " <ᵤ ") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ᵤ ") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " >ᵤ ") (Lean.ParserDescr.cat `term 0))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \ No newline at end of file diff --git a/SSA/Projects/InstCombine/PeepholeRewrites.html b/SSA/Projects/InstCombine/PeepholeRewrites.html index 4f110fa0e..75beeba16 100644 --- a/SSA/Projects/InstCombine/PeepholeRewrites.html +++ b/SSA/Projects/InstCombine/PeepholeRewrites.html @@ -1,33 +1,33 @@ SSA.Projects.InstCombine.PeepholeRewrites

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Documentation

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def thingy :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅ (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32)) - (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def + (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def thingy3 (C : Bitvec 32) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -example_macro_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +example_macro_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def example_macro_2 (C : Bitvec 32) :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def example_macro_3_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅ (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32)) - (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def example_macro_3 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        SSA.TSSA InstCombine.Op ∅ (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32)) - (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Option.some_eq_pure {α : Type u} :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            some = pure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            diff --git a/SSA/Projects/InstCombine/Tactic.html b/SSA/Projects/InstCombine/Tactic.html index 916d5f6f4..963dfb26b 100644 --- a/SSA/Projects/InstCombine/Tactic.html +++ b/SSA/Projects/InstCombine/Tactic.html @@ -1,6 +1,6 @@ SSA.Projects.InstCombine.Tactic

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            structure Val.Tensor1d (α : Type) [inst : Inhabited α] - :
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • size : ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • val : ℕ → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • spec : ∀ (ix : ℕ), ix ≥ size → val ix = default
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • size : ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • val : ℕ → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • spec : ∀ (ix : ℕ), ix ≥ size → val ix = default
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Val.Tensor1d.empty {α : Type} [inst : Inhabited α] - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • Val.Tensor1d.empty = { size := 0, val := fun x => default, spec := (_ : ∀ (_ix : ℕ), _ix ≥ 0 → default = default) }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • Val.Tensor1d.empty = { size := 0, val := fun x => default, spec := (_ : ∀ (_ix : ℕ), _ix ≥ 0 → default = default) }
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Val.Tensor1d.extract {α : Type} @@ -21,7 +21,7 @@ (left : ℕ) (len : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Val.Tensor1d.map {α : Type} @@ -30,7 +30,7 @@ (f : α → α) (t : Val.Tensor1d α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Val.Tensor1d.extract_map {α : Type} @@ -43,7 +43,7 @@ (left : ℕ) (len : ℕ) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def Val.Tensor1d.fill {α : Type} @@ -52,7 +52,7 @@ (t : Val.Tensor1d α) (v : α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                theorem Val.Tensor1d.extract_fill {α : Type} @@ -65,7 +65,7 @@ [inst : Inhabited α] (t : Val.Tensor1d α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Val.Tensor1d.insertslice {α : Type} @@ -76,14 +76,14 @@ (sliceix : ℕ) (slice : Val.Tensor1d α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Val.Tensor1d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem Val.not_lt_is_geq {a : ℕ} {b : ℕ} (NOT_LT : ¬a < b) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ≥ b
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ≥ b
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem Val.extractslice_insertslice {α : Type} @@ -96,20 +96,20 @@ (slice : Val.Tensor1d α) (CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure Val.Tensor2d (α : Type) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Val.Tensor2d.transpose {α : Type} (t : Val.Tensor2d α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Val.Tensor2d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Val.Tensor2d α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Val.Tensor1d.map_fusion {α : Type} @@ -120,7 +120,7 @@ [inst : Inhabited α] (t : Val.Tensor1d α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def Val.scf.for.loop {β : Sort u_1} @@ -131,7 +131,7 @@ (n_minus_i : ℕ) (acc : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Val.scf.for {β : Sort u_1} @@ -141,7 +141,7 @@ (seed : β) :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  theorem + Val.scf.for.loop f n (n - i) seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem Val.scf.for.peel_begin {β : Sort u_1} @@ -150,7 +150,7 @@ (f : ℕ → β → β) (seed : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem Val.scf.for.peel_end {β : Sort u_1} @@ -159,21 +159,21 @@ (f : ℕ → β → β) (seed : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem Val.scf.for.zero_n {β : Sort u_1} (f : ℕ → β → β) (seed : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 0 f seed = seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 0 f seed = seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Val.scf.for.one_n {β : Sort u_1} (f : ℕ → β → β) (seed : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 1 f seed = f 0 seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Val.scf.for 1 f seed = f 0 seed
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem Val.Tensor1d.tile {α : Type} @@ -190,36 +190,36 @@ let mapped_tile := Val.Tensor1d.map f tile; let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile; out) - Val.Tensor1d.empty
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        instance + Val.Tensor1d.empty
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        instance -Val.ArithScfLinalg.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Goedel Val.ArithScfLinalg.BaseType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        + else isFalse (_ : x = y → False)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        instance +Val.ArithScfLinalg.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Goedel Val.ArithScfLinalg.BaseType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -Val.ArithScfLinalg.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -Val.ArithScfLinalg.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -Val.ArithScfLinalg.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -Val.ArithScfLinalg.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +Val.ArithScfLinalg.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +Val.ArithScfLinalg.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def +Val.ArithScfLinalg.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def +Val.ArithScfLinalg.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Val.ArithScfLinalg.eval (o : Val.ArithScfLinalg.Op) (arg : ⟦Val.ArithScfLinalg.argUserType o⟧) (_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ⟦Val.ArithScfLinalg.outUserType o⟧
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -Val.ArithScfLinalg.«dsl_opConst(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -Val.ArithScfLinalg.Parser.Attr.SSA.teval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -Val.ArithScfLinalg.Parser.Attr.EnvU.set :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def -Val.ArithScfLinalg.Parser.Attr.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def -Val.ArithScfLinalg.Parser.Attr.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def -Val.ArithScfLinalg.Parser.Attr.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def -Val.ArithScfLinalg.Parser.Attr.uncurry :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ⟦Val.ArithScfLinalg.outUserType o⟧
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def +Val.ArithScfLinalg.«dsl_opConst(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +Val.ArithScfLinalg.Parser.Attr.SSA.teval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +Val.ArithScfLinalg.Parser.Attr.EnvU.set :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +Val.ArithScfLinalg.Parser.Attr.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +Val.ArithScfLinalg.Parser.Attr.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def +Val.ArithScfLinalg.Parser.Attr.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def +Val.ArithScfLinalg.Parser.Attr.uncurry :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem Val.ArithScfLinalg.extract_map {v : ℕ} :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c} diff --git a/SSA/Projects/Tensor2D/Tensor2D.html b/SSA/Projects/Tensor2D/Tensor2D.html index d4cf90dff..02c15c48c 100644 --- a/SSA/Projects/Tensor2D/Tensor2D.html +++ b/SSA/Projects/Tensor2D/Tensor2D.html @@ -1,26 +1,26 @@ SSA.Projects.Tensor2D.Tensor2D

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Documentation

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        SSA.Projects.Tensor2D.Tensor2D

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        abbrev Index :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Type

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Type of tensor dimensions and indexes into tensor dimensions. NOTE: see interaction with linarith where we need to unfold Index into ℕ -https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          structure +https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            structure Tensor2d' (α : Type) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Type

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Tensor2d with existential dimension sizes.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Type

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Tensor2d with existential dimension sizes.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Tensor2d'.error (α : Type) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Tensor2d' α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Tensor2d' α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Tensor2d'.transpose {α : Type} (t : Tensor2d' α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Tensor2d' α
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def Tensor2d'.map {α : Type} @@ -29,7 +29,7 @@ (f : α → β) (t : Tensor2d' α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Tensor2d' β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Tensor2d' β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Tensor2d'.map_functorial {β : Type} @@ -42,14 +42,14 @@ (f : α → β) (t : Tensor2d' α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            theorem Tensor2d'.map_error {α : Type} {β : Type} (f : α → β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def const {α : Sort u_1} @@ -58,7 +58,7 @@ (a : α) (_b : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            α

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            K combinator / constant function.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              α

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              K combinator / constant function.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def Tensor2d'.fill {β : Type} @@ -67,7 +67,7 @@ (v : β) (t : Tensor2d' α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Tensor2d' β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Tensor2d' β
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def Tensor2d'.extract {α : Type} @@ -80,7 +80,7 @@ (sz₁ : Index) (t : Tensor2d' α) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Tensor2d' α

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem Tensor2d'.map_extract {α : Type} @@ -97,7 +97,7 @@ (t : Tensor2d' α) (f : α → β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        This implies fill_extract

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        This implies fill_extract

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        theorem Tensor2d'.fill_extract {α : Type} @@ -114,36 +114,36 @@ (t : Tensor2d' α) (v : β) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        inductive -Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          inductive -BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            inductive +Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              inductive +BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def BaseType.toType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                BaseType → Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  + | BaseType.tensor2d => Tensor2d' ℤ
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev -UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def -argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def -outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Type
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def +rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      def +rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Op → UserType
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def eval (o : Op) (arg : ⟦argUserType o⟧) (_rgn : ⟦rgnDom o⟧ → ⟦rgnCod o⟧) - :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ⟦outUserType o⟧
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def -dsl_op2Map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def -dsl_op2Fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def -dsl_op2Extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def -«dsl_op2ConstIx(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def -«dsl_op2ConstTensor(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def -«dsl_op2ConstInt(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      theorem + :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ⟦outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        def +dsl_op2Map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          def +dsl_op2Fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            def +dsl_op2Extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Lean.ParserDescr
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              def +«dsl_op2ConstIx(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                def +«dsl_op2ConstTensor(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  def +«dsl_op2ConstInt(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Equations
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem map_fill_2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ), SSA.TSSA.eval (SSA.TSSA.assign 9999 SSA.TSSA.unit diff --git a/declarations/declaration-data-SSA.Core.EDSLNested.bmp b/declarations/declaration-data-SSA.Core.EDSLNested.bmp index f6f971bd5..b66504cab 100644 --- a/declarations/declaration-data-SSA.Core.EDSLNested.bmp +++ b/declarations/declaration-data-SSA.Core.EDSLNested.bmp @@ -1 +1 @@ -{"name":"SSA.Core.EDSLNested","instances":[{"typeNames":["Eq","EDSL2.ElabVar"],"name":"EDSL2.instDecidableEqElabVar","className":"Decidable"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instInhabitedElabVar","className":"Inhabited"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instToStringElabVar","className":"ToString"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instInhabitedStmtBuilder","className":"Inhabited"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instToStringStmtBuilder","className":"ToString"}],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L249-L249","name":"EDSL2.«term[dsl_region2|_]»","line":249,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_region2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_region2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L242-L242","name":"EDSL2.«term[dsl_bb2|_]»","line":242,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_bb2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_bb2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L205-L239","name":"EDSL2.elabStxExpr","line":205,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStxExpr","doc":"insert intermediate let bindings to produce "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStxExpr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L190-L199","name":"EDSL2.elabBB","line":190,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabBB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_bb2 → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L186-L188","name":"EDSL2.elabStmt.go","line":186,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStmt.go\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List (Lean.TSyntax `EDSL2.dsl_assign2) → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L182-L188","name":"EDSL2.elabStmt","line":182,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStmt\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_stmt2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L164-L178","name":"EDSL2.elabAssign","line":164,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabAssign","doc":"Given the rest of the statements that are to be built, build them "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabAssign\n(restBuilderM : EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L154-L161","name":"EDSL2.elabRgn","line":154,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabRgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_region2 → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L146-L151","name":"EDSL2.StmtBuilder.toAssign","line":146,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.toAssign","doc":"Build an assignment to store `e`. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.toAssign\n(builder : EDSL2.StmtBuilder (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L140-L142","name":"EDSL2.StmtBuilder.ofVal","line":140,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.ofVal","doc":"Builder a `StmtBuilder` from a raw value "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.ofVal\n{α : Type}\n\n(val : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L136-L137","name":"EDSL2.instToStringStmtBuilder","line":136,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringStmtBuilder","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instToStringStmtBuilder\n{α : Type}\n\n[inst : ToString α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ToString (EDSL2.StmtBuilder α)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L133-L134","name":"EDSL2.StmtBuilder.setVal","line":133,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.setVal","doc":"Set the value stored in the StmtBuilder "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.setVal\n{α : Type}\n\n{β : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(val : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L127-L129","name":"EDSL2.StmtBuilder.prependHole","line":127,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prependHole","doc":"extend the left of the appendk with `leftHole` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.prependHole\n{α : Type}\n\n(right : EDSL2.StmtBuilder α)\n\n(leftHole : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L122-L124","name":"EDSL2.StmtBuilder.appendHole","line":122,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendHole","doc":"extend the inside of 'e' with 'hole'. Prefer using `StmtBuilder.append`. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.appendHole\n{α : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L116-L119","name":"EDSL2.StmtBuilder.append","line":116,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.append","doc":"Append right to left "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.append\n{α : Type}\n\n{β : Type}\n\n(left : EDSL2.StmtBuilder α)\n\n(right : EDSL2.StmtBuilder β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L110-L113","name":"EDSL2.StmtBuilder.prepend","line":110,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prepend","doc":"Chain two statement builders "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.prepend\n{β : Type}\n\n{α : Type}\n\n(right : EDSL2.StmtBuilder β)\n\n(left : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L106-L106","name":"EDSL2.instInhabitedStmtBuilder","line":106,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedStmtBuilder","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instInhabitedStmtBuilder :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L105-L105","name":"EDSL2.StmtBuilder.val","line":105,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.StmtBuilder.val\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L104-L104","name":"EDSL2.StmtBuilder.appendk","line":104,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.StmtBuilder.appendk\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L102-L102","name":"EDSL2.StmtBuilder.mk","line":102,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.StmtBuilder.mk\n{α : Type}\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n\n(val : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L102-L106","name":"EDSL2.StmtBuilder","line":102,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder","doc":"A statement builder that can be filled with a statement.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL2.StmtBuilder\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L93-L97","name":"EDSL2.ElabVar.quoteAsContextVar","line":93,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsContextVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.quoteAsContextVar\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L89-L91","name":"EDSL2.idxToContextVar","line":89,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Lean.MacroM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L84-L86","name":"EDSL2.dslVarToElabVar","line":84,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dslVarToElabVar","doc":"extract out the index (nat) of the dsl_var "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dslVarToElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_var2 → Lean.MacroM EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L77-L80","name":"EDSL2.SSAElabContext.getIndex?","line":77,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.getIndex?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.getIndex?\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (Option ℕ)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L67-L73","name":"EDSL2.SSAElabContext.addFreshSyntheticVar","line":67,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addFreshSyntheticVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.addFreshSyntheticVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L63-L64","name":"EDSL2.SSAElabContext.addVar","line":63,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.addVar\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L61-L61","name":"EDSL2.SSAElabM","line":61,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.SSAElabM\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L59-L59","name":"EDSL2.SSAElabContext.vars","line":59,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.vars","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.SSAElabContext.vars\n(self : EDSL2.SSAElabContext)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Array EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L58-L59","name":"EDSL2.SSAElabContext","line":58,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL2.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L53-L54","name":"EDSL2.ElabVar.quoteAsNat","line":53,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.quoteAsNat\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `term
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L49-L51","name":"EDSL2.ElabVar.toNat","line":49,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.toNat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L47-L47","name":"EDSL2.instToStringElabVar","line":47,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instToStringElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ToString EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L43-L45","name":"EDSL2.ElabVar.toString","line":43,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toString","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.toString :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar → String
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instInhabitedElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instInhabitedElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instDecidableEqElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instDecidableEqElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instDecidableEqElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L40-L40","name":"EDSL2.ElabVar.Synthetic","line":40,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.Synthetic","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.ElabVar.Synthetic\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L39-L39","name":"EDSL2.ElabVar.User","line":39,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.User","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.ElabVar.User\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L38-L41","name":"EDSL2.ElabVar","line":38,"kind":"inductive","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nEDSL2.ElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L34-L34","name":"EDSL2.«dsl_region2{_=>_}»","line":34,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_region2{_=>_}»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n_}»\">EDSL2.«dsl_region2{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L32-L32","name":"EDSL2.dsl_bb2","line":32,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_bb2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_bb2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L30-L30","name":"EDSL2.«dsl_stmt2_;»","line":30,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_stmt2_;»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_stmt2_;» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L29-L29","name":"EDSL2.dsl_assign2","line":29,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_assign2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_assign2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L28-L28","name":"EDSL2.«dsl_expr2Op:_____»","line":28,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2Op:_____»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2Op:_____» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L27-L27","name":"EDSL2.«dsl_expr2(_,_,_)»","line":27,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_,_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_,_,_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L26-L26","name":"EDSL2.«dsl_expr2(_,_)»","line":26,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_,_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L25-L25","name":"EDSL2.«dsl_expr2(_)»","line":25,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L24-L24","name":"EDSL2.«dsl_expr2()»","line":24,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2()»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2()» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L23-L23","name":"EDSL2.dsl_expr2_","line":23,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_expr2_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L16-L16","name":"EDSL2.dsl_stmt2.quot","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_stmt2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_stmt2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L16-L16","name":"Lean.Parser.Category.dsl_stmt2","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_stmt2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_stmt2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L15-L15","name":"EDSL2.dsl_region2.quot","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_region2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_region2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L15-L15","name":"Lean.Parser.Category.dsl_region2","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_region2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_region2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L14-L14","name":"Lean.Parser.Category.dsl_expr2","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_expr2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_expr2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L14-L14","name":"EDSL2.dsl_expr2.quot","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_expr2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L13-L13","name":"EDSL2.dsl_var2","line":13,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_var2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_var2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L12-L12","name":"EDSL2.«term[dsl_op2|_]»","line":12,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_op2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_op2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L11-L11","name":"EDSL2.dsl_op2.quot","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_op2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_op2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L11-L11","name":"Lean.Parser.Category.dsl_op2","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_op2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_op2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/EDSLNested.lean#L1-L1","name":"EDSL2.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.SSAElabContext.mk\n(vars : Array EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabContext
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Core.EDSLNested","instances":[{"typeNames":["Eq","EDSL2.ElabVar"],"name":"EDSL2.instDecidableEqElabVar","className":"Decidable"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instInhabitedElabVar","className":"Inhabited"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instToStringElabVar","className":"ToString"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instInhabitedStmtBuilder","className":"Inhabited"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instToStringStmtBuilder","className":"ToString"}],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L249-L249","name":"EDSL2.«term[dsl_region2|_]»","line":249,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_region2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_region2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L242-L242","name":"EDSL2.«term[dsl_bb2|_]»","line":242,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_bb2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_bb2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L205-L239","name":"EDSL2.elabStxExpr","line":205,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStxExpr","doc":"insert intermediate let bindings to produce "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStxExpr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L190-L199","name":"EDSL2.elabBB","line":190,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabBB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_bb2 → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L186-L188","name":"EDSL2.elabStmt.go","line":186,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStmt.go\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List (Lean.TSyntax `EDSL2.dsl_assign2) → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L182-L188","name":"EDSL2.elabStmt","line":182,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabStmt\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_stmt2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L164-L178","name":"EDSL2.elabAssign","line":164,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabAssign","doc":"Given the rest of the statements that are to be built, build them "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabAssign\n(restBuilderM : EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L154-L161","name":"EDSL2.elabRgn","line":154,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabRgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL2.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_region2 → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L146-L151","name":"EDSL2.StmtBuilder.toAssign","line":146,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.toAssign","doc":"Build an assignment to store `e`. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.toAssign\n(builder : EDSL2.StmtBuilder (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L140-L142","name":"EDSL2.StmtBuilder.ofVal","line":140,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.ofVal","doc":"Builder a `StmtBuilder` from a raw value "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.ofVal\n{α : Type}\n\n(val : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L136-L137","name":"EDSL2.instToStringStmtBuilder","line":136,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringStmtBuilder","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instToStringStmtBuilder\n{α : Type}\n\n[inst : ToString α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ToString (EDSL2.StmtBuilder α)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L133-L134","name":"EDSL2.StmtBuilder.setVal","line":133,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.setVal","doc":"Set the value stored in the StmtBuilder "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.setVal\n{α : Type}\n\n{β : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(val : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L127-L129","name":"EDSL2.StmtBuilder.prependHole","line":127,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prependHole","doc":"extend the left of the appendk with `leftHole` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.prependHole\n{α : Type}\n\n(right : EDSL2.StmtBuilder α)\n\n(leftHole : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L122-L124","name":"EDSL2.StmtBuilder.appendHole","line":122,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendHole","doc":"extend the inside of 'e' with 'hole'. Prefer using `StmtBuilder.append`. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.appendHole\n{α : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L116-L119","name":"EDSL2.StmtBuilder.append","line":116,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.append","doc":"Append right to left "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.append\n{α : Type}\n\n{β : Type}\n\n(left : EDSL2.StmtBuilder α)\n\n(right : EDSL2.StmtBuilder β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L110-L113","name":"EDSL2.StmtBuilder.prepend","line":110,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prepend","doc":"Chain two statement builders "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.StmtBuilder.prepend\n{β : Type}\n\n{α : Type}\n\n(right : EDSL2.StmtBuilder β)\n\n(left : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L106-L106","name":"EDSL2.instInhabitedStmtBuilder","line":106,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedStmtBuilder","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instInhabitedStmtBuilder :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L105-L105","name":"EDSL2.StmtBuilder.val","line":105,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.StmtBuilder.val\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L104-L104","name":"EDSL2.StmtBuilder.appendk","line":104,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.StmtBuilder.appendk\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L102-L102","name":"EDSL2.StmtBuilder.mk","line":102,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.StmtBuilder.mk\n{α : Type}\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n\n(val : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.StmtBuilder α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L102-L106","name":"EDSL2.StmtBuilder","line":102,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder","doc":"A statement builder that can be filled with a statement.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL2.StmtBuilder\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L93-L97","name":"EDSL2.ElabVar.quoteAsContextVar","line":93,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsContextVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.quoteAsContextVar\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L89-L91","name":"EDSL2.idxToContextVar","line":89,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Lean.MacroM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L84-L86","name":"EDSL2.dslVarToElabVar","line":84,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dslVarToElabVar","doc":"extract out the index (nat) of the dsl_var "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dslVarToElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `EDSL2.dsl_var2 → Lean.MacroM EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L77-L80","name":"EDSL2.SSAElabContext.getIndex?","line":77,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.getIndex?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.getIndex?\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM (Option ℕ)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L67-L73","name":"EDSL2.SSAElabContext.addFreshSyntheticVar","line":67,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addFreshSyntheticVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.addFreshSyntheticVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L63-L64","name":"EDSL2.SSAElabContext.addVar","line":63,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.SSAElabContext.addVar\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabM Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L61-L61","name":"EDSL2.SSAElabM","line":61,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.SSAElabM\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L59-L59","name":"EDSL2.SSAElabContext.vars","line":59,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.vars","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL2.SSAElabContext.vars\n(self : EDSL2.SSAElabContext)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Array EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L58-L59","name":"EDSL2.SSAElabContext","line":58,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL2.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L53-L54","name":"EDSL2.ElabVar.quoteAsNat","line":53,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.quoteAsNat\n(var : EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `term
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L49-L51","name":"EDSL2.ElabVar.toNat","line":49,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.toNat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L47-L47","name":"EDSL2.instToStringElabVar","line":47,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instToStringElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ToString EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L43-L45","name":"EDSL2.ElabVar.toString","line":43,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toString","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.ElabVar.toString :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar → String
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instInhabitedElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instInhabitedElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instDecidableEqElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instDecidableEqElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nEDSL2.instDecidableEqElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L40-L40","name":"EDSL2.ElabVar.Synthetic","line":40,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.Synthetic","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.ElabVar.Synthetic\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L39-L39","name":"EDSL2.ElabVar.User","line":39,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.User","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.ElabVar.User\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.ElabVar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L38-L41","name":"EDSL2.ElabVar","line":38,"kind":"inductive","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nEDSL2.ElabVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L34-L34","name":"EDSL2.«dsl_region2{_=>_}»","line":34,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_region2{_=>_}»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n_}»\">EDSL2.«dsl_region2{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L32-L32","name":"EDSL2.dsl_bb2","line":32,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_bb2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_bb2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L30-L30","name":"EDSL2.«dsl_stmt2_;»","line":30,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_stmt2_;»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_stmt2_;» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L29-L29","name":"EDSL2.dsl_assign2","line":29,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_assign2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_assign2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L28-L28","name":"EDSL2.«dsl_expr2Op:_____»","line":28,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2Op:_____»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2Op:_____» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L27-L27","name":"EDSL2.«dsl_expr2(_,_,_)»","line":27,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_,_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_,_,_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L26-L26","name":"EDSL2.«dsl_expr2(_,_)»","line":26,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_,_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L25-L25","name":"EDSL2.«dsl_expr2(_)»","line":25,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L24-L24","name":"EDSL2.«dsl_expr2()»","line":24,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2()»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«dsl_expr2()» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L23-L23","name":"EDSL2.dsl_expr2_","line":23,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_expr2_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L16-L16","name":"EDSL2.dsl_stmt2.quot","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_stmt2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_stmt2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L16-L16","name":"Lean.Parser.Category.dsl_stmt2","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_stmt2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_stmt2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L15-L15","name":"EDSL2.dsl_region2.quot","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_region2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_region2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L15-L15","name":"Lean.Parser.Category.dsl_region2","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_region2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_region2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L14-L14","name":"Lean.Parser.Category.dsl_expr2","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_expr2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_expr2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L14-L14","name":"EDSL2.dsl_expr2.quot","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_expr2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L13-L13","name":"EDSL2.dsl_var2","line":13,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_var2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_var2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L12-L12","name":"EDSL2.«term[dsl_op2|_]»","line":12,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_op2|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.«term[dsl_op2|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L11-L11","name":"EDSL2.dsl_op2.quot","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_op2.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL2.dsl_op2.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L11-L11","name":"Lean.Parser.Category.dsl_op2","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_op2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_op2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/EDSLNested.lean#L1-L1","name":"EDSL2.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL2.SSAElabContext.mk\n(vars : Array EDSL2.ElabVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL2.SSAElabContext
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Core.Framework.bmp b/declarations/declaration-data-SSA.Core.Framework.bmp index 11fcf3167..4f668f908 100644 --- a/declarations/declaration-data-SSA.Core.Framework.bmp +++ b/declarations/declaration-data-SSA.Core.Framework.bmp @@ -1 +1 @@ -{"name":"SSA.Core.Framework","instances":[{"typeNames":["Eq","SSA.Var"],"name":"SSA.instDecidableEqVar","className":"Decidable"},{"typeNames":["SSA.Env"],"name":"SSA.instEmptyCollectionEnv","className":"EmptyCollection"}],"imports":["Init","Lean","Mathlib.Tactic.NormNum","Mathlib.Tactic.Linarith","Mathlib.Data.Nat.Basic","Mathlib.Data.Int.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L104-L107","name":"SSA.Tree.eval","line":104,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Tree.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Tree.eval\n{Val : Type}\n\n{Op : Type}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L102-L102","name":"SSA.Tree.oprgn","line":102,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.oprgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.oprgn\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n\n(r : Val → SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L101-L101","name":"SSA.Tree.op","line":101,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.op\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L100-L100","name":"SSA.Tree.pair","line":100,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.pair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.pair\n{Op : Type}\n\n{Val : Type}\n\n(e1 : SSA.Tree Op Val)\n\n(e2 : SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L99-L102","name":"SSA.Tree","line":99,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.Tree","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Tree\n(Op : Type)\n\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L85-L97","name":"SSA.SSA.eval","line":85,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSA.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.SSA.eval\n{Val : Type}\n\n{Op : Type}\n\n{k : SSA.SSAIndex}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n\n(e : SSA.Env Val)\n\n(re : SSA.Env (Val → Val))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op k → SSA.SSAIndex.eval Val k
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L79-L83","name":"SSA.SSAIndex.eval","line":79,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.SSAIndex.eval\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L77-L77","name":"SSA.UserSemantics.valTriple","line":77,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valTriple\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val → Val → Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L76-L76","name":"SSA.UserSemantics.valPair","line":76,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valPair\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val → Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L75-L75","name":"SSA.UserSemantics.valUnit","line":75,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valUnit","doc":"Okay Yuck "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valUnit\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L73-L73","name":"SSA.UserSemantics.eval","line":73,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.eval","doc":"`Op` is semantically a function `Val → (Val → Val) → Val`\nfor every operation, produce a result `Val` given the\ninput variable value (⟦val⟧ : Val)\nand input region value (⟦rgn⟧ : Val → Val) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.eval\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n\n(o : Op)\n\n(arg : Val)\n\n(rgn : Val → Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L68-L68","name":"SSA.UserSemantics.mk","line":68,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserSemantics.mk\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n(eval : Op → Val → (Val → Val) → Val)\n\n(valUnit : Val)\n\n(valPair : Val → Val → Val)\n\n(valTriple : Val → Val → Val → Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserSemantics Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L68-L77","name":"SSA.UserSemantics","line":68,"kind":"class","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.UserSemantics\n(Op : Type)\n\n(Val : Type)\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L66-L66","name":"SSA.«term_[_:=_]»","line":66,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.«term_[_:=_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.«term_[_:=_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L64-L65","name":"SSA.Env.set","line":64,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env.set","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Env.set\n{Val : Type}\n\n(e : SSA.Env Val)\n\n(var : SSA.Var)\n\n(val : Val)\n\n(needle : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L61-L61","name":"SSA.instEmptyCollectionEnv","line":61,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instEmptyCollectionEnv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionEnv\n{Val : Type}\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.Env Val)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L59-L59","name":"SSA.Env.empty","line":59,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Env.empty\n{Val : Type}\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Env Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L56-L56","name":"SSA.Env","line":56,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env","doc":"Evaluation context. There is only one type in the semantics and that type is Val "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Env\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L52-L52","name":"SSA.Stmt","line":52,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Stmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Stmt\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L51-L51","name":"SSA.Expr","line":51,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Expr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Expr\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L48-L49","name":"SSA.SSA.var","line":48,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.var","doc":"a variable. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.var\n{Op : Type}\n\n(v : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L47-L47","name":"SSA.SSA.rgnvar","line":47,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgnvar\n{Op : Type}\n\n(v : SSA.RegionVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L45-L45","name":"SSA.SSA.rgn0","line":45,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgn0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgn0\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L43-L43","name":"SSA.SSA.rgn","line":43,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgn\n{Op : Type}\n\n(arg : SSA.Var)\n\n(body : SSA.SSA Op SSA.SSAIndex.TERMINATOR)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L40-L41","name":"SSA.SSA.op","line":40,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.op\n{Op : Type}\n\n(o : Op)\n\n(arg : SSA.Var)\n\n(rgn : SSA.SSA Op SSA.SSAIndex.REGION)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L38-L39","name":"SSA.SSA.triple","line":38,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.triple","doc":"(fst, snd, third) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.triple\n{Op : Type}\n\n(fst : SSA.Var)\n\n(snd : SSA.Var)\n\n(third : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L36-L37","name":"SSA.SSA.pair","line":36,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.pair","doc":"(fst, snd) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.pair\n{Op : Type}\n\n(fst : SSA.Var)\n\n(snd : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L34-L35","name":"SSA.SSA.unit","line":34,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.unit","doc":"() "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.unit\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L32-L33","name":"SSA.SSA.ret","line":32,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.ret","doc":"above; ret v "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.ret\n{Op : Type}\n\n(above : SSA.SSA Op SSA.SSAIndex.STMT)\n\n(v : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.TERMINATOR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L30-L31","name":"SSA.SSA.nop","line":30,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.nop","doc":"no operation. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.nop\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.STMT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L28-L29","name":"SSA.SSA.assign","line":28,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.assign","doc":"lhs := rhs; rest of the program "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.assign\n{Op : Type}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.SSA Op SSA.SSAIndex.EXPR)\n\n(rest : SSA.SSA Op SSA.SSAIndex.STMT)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.STMT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L27-L49","name":"SSA.SSA","line":27,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSA","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.SSA\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L22-L23","name":"SSA.SSAIndex.REGION","line":22,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.REGION","doc":"a lambda "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.REGION :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L20-L21","name":"SSA.SSAIndex.TERMINATOR","line":20,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.TERMINATOR","doc":"The final instruction in a region. Must be a return "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.TERMINATOR :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L18-L19","name":"SSA.SSAIndex.EXPR","line":18,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.EXPR","doc":"Ways of making an RHS "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.EXPR :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L16-L17","name":"SSA.SSAIndex.STMT","line":16,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.STMT","doc":"LHS := RHS. LHS is a `Var` and RHS is an `SSA Op .EXPR` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.STMT :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L15-L23","name":"SSA.SSAIndex","line":15,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex","doc":"Us mucking around to avoid mutual inductives. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.SSAIndex :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L11-L12","name":"SSA.instDecidableEqVar","line":11,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instDecidableEqVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instDecidableEqVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq SSA.Var
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L9-L9","name":"SSA.RegionVar","line":9,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.RegionVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.RegionVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Framework.lean#L8-L8","name":"SSA.Var","line":8,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Var :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Core.Framework","instances":[{"typeNames":["Eq","SSA.Var"],"name":"SSA.instDecidableEqVar","className":"Decidable"},{"typeNames":["SSA.Env"],"name":"SSA.instEmptyCollectionEnv","className":"EmptyCollection"}],"imports":["Init","Lean","Mathlib.Tactic.NormNum","Mathlib.Tactic.Linarith","Mathlib.Data.Nat.Basic","Mathlib.Data.Int.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L104-L107","name":"SSA.Tree.eval","line":104,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Tree.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Tree.eval\n{Val : Type}\n\n{Op : Type}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L102-L102","name":"SSA.Tree.oprgn","line":102,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.oprgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.oprgn\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n\n(r : Val → SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L101-L101","name":"SSA.Tree.op","line":101,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.op\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L100-L100","name":"SSA.Tree.pair","line":100,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.pair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Tree.pair\n{Op : Type}\n\n{Val : Type}\n\n(e1 : SSA.Tree Op Val)\n\n(e2 : SSA.Tree Op Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Tree Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L99-L102","name":"SSA.Tree","line":99,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.Tree","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Tree\n(Op : Type)\n\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L85-L97","name":"SSA.SSA.eval","line":85,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSA.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.SSA.eval\n{Val : Type}\n\n{Op : Type}\n\n{k : SSA.SSAIndex}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n\n(e : SSA.Env Val)\n\n(re : SSA.Env (Val → Val))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op k → SSA.SSAIndex.eval Val k
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L79-L83","name":"SSA.SSAIndex.eval","line":79,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.SSAIndex.eval\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L77-L77","name":"SSA.UserSemantics.valTriple","line":77,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valTriple\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val → Val → Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L76-L76","name":"SSA.UserSemantics.valPair","line":76,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valPair\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val → Val → Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L75-L75","name":"SSA.UserSemantics.valUnit","line":75,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valUnit","doc":"Okay Yuck "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.valUnit\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L73-L73","name":"SSA.UserSemantics.eval","line":73,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.eval","doc":"`Op` is semantically a function `Val → (Val → Val) → Val`\nfor every operation, produce a result `Val` given the\ninput variable value (⟦val⟧ : Val)\nand input region value (⟦rgn⟧ : Val → Val) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.UserSemantics.eval\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n\n(o : Op)\n\n(arg : Val)\n\n(rgn : Val → Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L68-L68","name":"SSA.UserSemantics.mk","line":68,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserSemantics.mk\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n(eval : Op → Val → (Val → Val) → Val)\n\n(valUnit : Val)\n\n(valPair : Val → Val → Val)\n\n(valTriple : Val → Val → Val → Val)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserSemantics Op Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L68-L77","name":"SSA.UserSemantics","line":68,"kind":"class","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.UserSemantics\n(Op : Type)\n\n(Val : Type)\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L66-L66","name":"SSA.«term_[_:=_]»","line":66,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.«term_[_:=_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.«term_[_:=_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L64-L65","name":"SSA.Env.set","line":64,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env.set","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Env.set\n{Val : Type}\n\n(e : SSA.Env Val)\n\n(var : SSA.Var)\n\n(val : Val)\n\n(needle : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L61-L61","name":"SSA.instEmptyCollectionEnv","line":61,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instEmptyCollectionEnv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionEnv\n{Val : Type}\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.Env Val)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L59-L59","name":"SSA.Env.empty","line":59,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Env.empty\n{Val : Type}\n\n[inst : Inhabited Val]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Env Val
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L56-L56","name":"SSA.Env","line":56,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env","doc":"Evaluation context. There is only one type in the semantics and that type is Val "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Env\n(Val : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L52-L52","name":"SSA.Stmt","line":52,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Stmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Stmt\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L51-L51","name":"SSA.Expr","line":51,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Expr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Expr\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L48-L49","name":"SSA.SSA.var","line":48,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.var","doc":"a variable. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.var\n{Op : Type}\n\n(v : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L47-L47","name":"SSA.SSA.rgnvar","line":47,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgnvar\n{Op : Type}\n\n(v : SSA.RegionVar)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L45-L45","name":"SSA.SSA.rgn0","line":45,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgn0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgn0\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L43-L43","name":"SSA.SSA.rgn","line":43,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.rgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.rgn\n{Op : Type}\n\n(arg : SSA.Var)\n\n(body : SSA.SSA Op SSA.SSAIndex.TERMINATOR)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.REGION
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L40-L41","name":"SSA.SSA.op","line":40,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.op\n{Op : Type}\n\n(o : Op)\n\n(arg : SSA.Var)\n\n(rgn : SSA.SSA Op SSA.SSAIndex.REGION)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L38-L39","name":"SSA.SSA.triple","line":38,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.triple","doc":"(fst, snd, third) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.triple\n{Op : Type}\n\n(fst : SSA.Var)\n\n(snd : SSA.Var)\n\n(third : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L36-L37","name":"SSA.SSA.pair","line":36,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.pair","doc":"(fst, snd) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.pair\n{Op : Type}\n\n(fst : SSA.Var)\n\n(snd : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L34-L35","name":"SSA.SSA.unit","line":34,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.unit","doc":"() "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.unit\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.EXPR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L32-L33","name":"SSA.SSA.ret","line":32,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.ret","doc":"above; ret v "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.ret\n{Op : Type}\n\n(above : SSA.SSA Op SSA.SSAIndex.STMT)\n\n(v : SSA.Var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.TERMINATOR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L30-L31","name":"SSA.SSA.nop","line":30,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.nop","doc":"no operation. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.nop\n{Op : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.STMT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L28-L29","name":"SSA.SSA.assign","line":28,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.assign","doc":"lhs := rhs; rest of the program "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSA.assign\n{Op : Type}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.SSA Op SSA.SSAIndex.EXPR)\n\n(rest : SSA.SSA Op SSA.SSAIndex.STMT)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSA Op SSA.SSAIndex.STMT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L27-L49","name":"SSA.SSA","line":27,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSA","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.SSA\n(Op : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L22-L23","name":"SSA.SSAIndex.REGION","line":22,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.REGION","doc":"a lambda "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.REGION :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L20-L21","name":"SSA.SSAIndex.TERMINATOR","line":20,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.TERMINATOR","doc":"The final instruction in a region. Must be a return "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.TERMINATOR :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L18-L19","name":"SSA.SSAIndex.EXPR","line":18,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.EXPR","doc":"Ways of making an RHS "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.EXPR :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L16-L17","name":"SSA.SSAIndex.STMT","line":16,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.STMT","doc":"LHS := RHS. LHS is a `Var` and RHS is an `SSA Op .EXPR` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.SSAIndex.STMT :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.SSAIndex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L15-L23","name":"SSA.SSAIndex","line":15,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex","doc":"Us mucking around to avoid mutual inductives. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.SSAIndex :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L11-L12","name":"SSA.instDecidableEqVar","line":11,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instDecidableEqVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instDecidableEqVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq SSA.Var
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L9-L9","name":"SSA.RegionVar","line":9,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.RegionVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.RegionVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Framework.lean#L8-L8","name":"SSA.Var","line":8,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.Var :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Core.Tactic.bmp b/declarations/declaration-data-SSA.Core.Tactic.bmp index 7765128b9..501d3f763 100644 --- a/declarations/declaration-data-SSA.Core.Tactic.bmp +++ b/declarations/declaration-data-SSA.Core.Tactic.bmp @@ -1 +1 @@ -{"name":"SSA.Core.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticSimp_mlir :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Core.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticSimp_mlir :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Core.Util.bmp b/declarations/declaration-data-SSA.Core.Util.bmp index cd7a7b349..dd66630bf 100644 --- a/declarations/declaration-data-SSA.Core.Util.bmp +++ b/declarations/declaration-data-SSA.Core.Util.bmp @@ -1 +1 @@ -{"name":"SSA.Core.Util","instances":[{"typeNames":["LengthIndexedList"],"name":"instReprLengthIndexedList","className":"Repr"},{"typeNames":["Eq","LengthIndexedList"],"name":"instDecidableEqLengthIndexedList","className":"Decidable"},{"typeNames":["LengthIndexedList","Nat","LengthIndexedList","Nat","LT.lt","instLTNat"],"name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","className":"GetElem"}],"imports":["Init","Mathlib.Data.Fin.Basic","Lean"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticPrint_goal_as_error :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L78-L80","name":"LengthIndexedList.finRangeIndex","line":78,"kind":"theorem","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRangeIndex","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nLengthIndexedList.finRangeIndex\n{n : ℕ}\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList.nth (LengthIndexedList.finRange n) i = i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L70-L75","name":"LengthIndexedList.finRange","line":70,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRange","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.finRange\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList (Fin n) n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L66-L68","name":"LengthIndexedList.NatEq","line":66,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.NatEq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.NatEq\n{α : Type u}\n\n{n : ℕ}\n\n{m : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    n = m → LengthIndexedList α n → LengthIndexedList α m
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L63-L64","name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","line":63,"kind":"instance","docLink":"./SSA/Core/Util.html#LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nLengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat\n{α : Type u_1}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L58-L61","name":"LengthIndexedList.nth","line":58,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.nth","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.nth\n{α : Type u}\n\n{n : ℕ}\n\n(l : LengthIndexedList α n)\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L53-L56","name":"LengthIndexedList.zipWith","line":53,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.zipWith","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.zipWith\n{α : Type u}\n\n{β : Type u}\n\n{γ : Type u}\n\n{n : ℕ}\n\n(f : α → β → γ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L48-L50","name":"LengthIndexedList.foldl","line":48,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.foldl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.foldl\n{α : Type u}\n\n{β : Type u}\n\n{n : ℕ}\n\n(f : β → α → β)\n\n(acc : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L42-L44","name":"LengthIndexedList.map","line":42,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.map\n{α : Type u}\n\n{β : Type u}\n\n(f : α → β)\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → LengthIndexedList β n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L37-L40","name":"LengthIndexedList.fromList","line":37,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.fromList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.fromList\n{α : Type u}\n\n(l : List α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α (List.length l)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L33-L33","name":"instDecidableEqLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instDecidableEqLengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstDecidableEqLengthIndexedList :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L33-L33","name":"instReprLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instReprLengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstReprLengthIndexedList :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L32-L32","name":"LengthIndexedList.cons","line":32,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.cons","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nLengthIndexedList.cons\n{α : Type u}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α → LengthIndexedList α n → LengthIndexedList α (n + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L31-L31","name":"LengthIndexedList.nil","line":31,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.nil","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nLengthIndexedList.nil\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L30-L33","name":"LengthIndexedList","line":30,"kind":"inductive","docLink":"./SSA/Core/Util.html#LengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nLengthIndexedList\n(α : Type u)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Type u
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nFin.coeLt\n{n : ℕ}\n\n{m : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    n ≤ m → Fin n → Fin m
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L20-L23","name":"tripleMapM","line":20,"kind":"def","docLink":"./SSA/Core/Util.html#tripleMapM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntripleMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n{δ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ → δ)\n\n(triple : m α × m β × m γ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m δ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\npairMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ)\n\n(pair : m α × m β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\npairBind\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → m γ)\n\n(pair : m α × m β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L5-L5","name":"uncurry","line":5,"kind":"def","docLink":"./SSA/Core/Util.html#uncurry","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nuncurry\n{α : Type u_1}\n\n{β : Type u_2}\n\n{γ : Sort u_3}\n\n(f : α → β → γ)\n\n(pair : α × β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Core.Util","instances":[{"typeNames":["LengthIndexedList"],"name":"instReprLengthIndexedList","className":"Repr"},{"typeNames":["Eq","LengthIndexedList"],"name":"instDecidableEqLengthIndexedList","className":"Decidable"},{"typeNames":["LengthIndexedList","Nat","LengthIndexedList","Nat","LT.lt","instLTNat"],"name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","className":"GetElem"}],"imports":["Init","Mathlib.Data.Fin.Basic","Lean"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticPrint_goal_as_error :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L78-L80","name":"LengthIndexedList.finRangeIndex","line":78,"kind":"theorem","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRangeIndex","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nLengthIndexedList.finRangeIndex\n{n : ℕ}\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList.nth (LengthIndexedList.finRange n) i = i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L70-L75","name":"LengthIndexedList.finRange","line":70,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRange","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.finRange\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList (Fin n) n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L66-L68","name":"LengthIndexedList.NatEq","line":66,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.NatEq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.NatEq\n{α : Type u}\n\n{n : ℕ}\n\n{m : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    n = m → LengthIndexedList α n → LengthIndexedList α m
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L63-L64","name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","line":63,"kind":"instance","docLink":"./SSA/Core/Util.html#LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nLengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat\n{α : Type u_1}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L58-L61","name":"LengthIndexedList.nth","line":58,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.nth","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.nth\n{α : Type u}\n\n{n : ℕ}\n\n(l : LengthIndexedList α n)\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L53-L56","name":"LengthIndexedList.zipWith","line":53,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.zipWith","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.zipWith\n{α : Type u}\n\n{β : Type u}\n\n{γ : Type u}\n\n{n : ℕ}\n\n(f : α → β → γ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L48-L50","name":"LengthIndexedList.foldl","line":48,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.foldl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.foldl\n{α : Type u}\n\n{β : Type u}\n\n{n : ℕ}\n\n(f : β → α → β)\n\n(acc : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L42-L44","name":"LengthIndexedList.map","line":42,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.map\n{α : Type u}\n\n{β : Type u}\n\n(f : α → β)\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α n → LengthIndexedList β n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L37-L40","name":"LengthIndexedList.fromList","line":37,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.fromList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLengthIndexedList.fromList\n{α : Type u}\n\n(l : List α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α (List.length l)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L33-L33","name":"instDecidableEqLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instDecidableEqLengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstDecidableEqLengthIndexedList :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L33-L33","name":"instReprLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instReprLengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstReprLengthIndexedList :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L32-L32","name":"LengthIndexedList.cons","line":32,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.cons","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nLengthIndexedList.cons\n{α : Type u}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α → LengthIndexedList α n → LengthIndexedList α (n + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L31-L31","name":"LengthIndexedList.nil","line":31,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.nil","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nLengthIndexedList.nil\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    LengthIndexedList α 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L30-L33","name":"LengthIndexedList","line":30,"kind":"inductive","docLink":"./SSA/Core/Util.html#LengthIndexedList","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nLengthIndexedList\n(α : Type u)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Type u
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nFin.coeLt\n{n : ℕ}\n\n{m : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    n ≤ m → Fin n → Fin m
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L20-L23","name":"tripleMapM","line":20,"kind":"def","docLink":"./SSA/Core/Util.html#tripleMapM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntripleMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n{δ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ → δ)\n\n(triple : m α × m β × m γ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m δ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\npairMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ)\n\n(pair : m α × m β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\npairBind\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → m γ)\n\n(pair : m α × m β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    m γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L5-L5","name":"uncurry","line":5,"kind":"def","docLink":"./SSA/Core/Util.html#uncurry","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nuncurry\n{α : Type u_1}\n\n{β : Type u_2}\n\n{γ : Sort u_3}\n\n(f : α → β → γ)\n\n(pair : α × β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    γ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp b/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp index 51236591d..58a3cabd4 100644 --- a/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp +++ b/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp @@ -1 +1 @@ -{"name":"SSA.Core.WellTypedFramework","instances":[{"typeNames":["Unit"],"name":"instGoedelUnit","className":"Goedel"},{"typeNames":["Eq","SSA.UserType"],"name":"SSA.instDecidableEqUserType","className":"Decidable"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instReprUserType","className":"Repr"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instCoeUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_1","className":"Coe"},{"typeNames":["Unit","SSA.UserType"],"name":"SSA.UserType.instCoeUnitUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_2","className":"Coe"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instInhabitedUserType","className":"Inhabited"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instGoedelUserType","className":"Goedel"},{"typeNames":["SSA.Context"],"name":"SSA.instEmptyCollectionContext","className":"EmptyCollection"},{"typeNames":["SSA.EnvC","SSA.Context.empty"],"name":"SSA.instEmptyCollectionEnvCEmpty","className":"EmptyCollection"}],"imports":["Init","SSA.Core.Framework","Mathlib.Data.Option.Basic","Mathlib.Data.List.AList"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.regionCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.regionDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.Option.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.Bind.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L420-L420","name":"EDSL.«term[dsl_region|_]»","line":420,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_region|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_region|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L413-L413","name":"EDSL.«term[dsl_bb|_]»","line":413,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_bb|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_bb|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L392-L410","name":"EDSL.elabStxExpr","line":392,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxExpr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStxExpr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_expr → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L383-L390","name":"EDSL.elabBB","line":383,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabBB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_bb → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L376-L381","name":"EDSL.elabStmt.go","line":376,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStmt.go\n(ret : Lean.TSyntax `dsl_var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L373-L381","name":"EDSL.elabStmt","line":373,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStmt\n(ret : Lean.TSyntax `dsl_var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L357-L364","name":"EDSL.elabAssign","line":357,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabAssign","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabAssign\n(mkNext : EDSL.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L348-L355","name":"EDSL.elabRgn","line":348,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabRgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_region → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L338-L344","name":"EDSL.elabStxVar","line":338,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.elabStxVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_var → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L334-L336","name":"EDSL.idxToContextVar","line":334,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Lean.MacroM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L329-L331","name":"EDSL.dslVarToIx","line":329,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dslVarToIx","doc":"extract out the index (nat) of the dsl_var "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dslVarToIx :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_var → Lean.MacroM ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L323-L326","name":"EDSL.SSAElabContext.getIndex?","line":323,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.getIndex?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.SSAElabContext.getIndex?\n(var : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabM (Option ℕ)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L318-L319","name":"EDSL.SSAElabContext.addVar","line":318,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.addVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.SSAElabContext.addVar\n(var : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabM Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L316-L316","name":"EDSL.SSAElabM","line":316,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL.SSAElabM\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L314-L314","name":"EDSL.SSAElabContext.vars","line":314,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.vars","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL.SSAElabContext.vars\n(self : EDSL.SSAElabContext)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Array ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L313-L314","name":"EDSL.SSAElabContext","line":313,"kind":"structure","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L307-L307","name":"EDSL.«dsl_regionRgn$(_)»","line":307,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_regionRgn$(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_regionRgn$(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L305-L305","name":"EDSL.«dsl_bb^bb_Dsl_ret_»","line":305,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_bb^bb_Dsl_ret_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_bb^bb_Dsl_ret_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L304-L304","name":"EDSL.«dsl_regionRgn{_=>_}»","line":304,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_regionRgn{_=>_}»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n_}»\">EDSL.«dsl_regionRgn{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L301-L301","name":"EDSL.«dsl_stmt_;»","line":301,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_stmt_;»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_stmt_;» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L300-L300","name":"EDSL.«dsl_assign_:=_»","line":300,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_assign_:=_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_assign_:=_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L299-L299","name":"EDSL.dsl_expr_","line":299,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_expr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_expr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L298-L298","name":"EDSL.«dsl_exprTriple:___»","line":298,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprTriple:___»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprTriple:___» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L297-L297","name":"EDSL.«dsl_exprPair:__»","line":297,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprPair:__»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprPair:__» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L296-L296","name":"EDSL.«dsl_exprUnit:»","line":296,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprUnit:»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprUnit:» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L295-L295","name":"EDSL.«dsl_exprOp:__,_»","line":295,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprOp:__,_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprOp:__,_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L292-L292","name":"EDSL.«dsl_var%v_»","line":292,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_var%v_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_var%v_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L289-L289","name":"EDSL.«term[dsl_op|_]»","line":289,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_op|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_op|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L286-L286","name":"EDSL.dsl_rgnvar.quot","line":286,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_rgnvar.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_rgnvar.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L286-L286","name":"Lean.Parser.Category.dsl_rgnvar","line":286,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_rgnvar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L285-L285","name":"Lean.Parser.Category.dsl_val","line":285,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_val :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L285-L285","name":"EDSL.dsl_val.quot","line":285,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_val.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_val.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L284-L284","name":"Lean.Parser.Category.dsl_var","line":284,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_var :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L284-L284","name":"EDSL.dsl_var.quot","line":284,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_var.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_var.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L282-L282","name":"Lean.Parser.Category.dsl_assign","line":282,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_assign","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_assign :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L282-L282","name":"EDSL.dsl_assign.quot","line":282,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_assign.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_assign.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L281-L281","name":"Lean.Parser.Category.dsl_stmt","line":281,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_stmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_stmt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L281-L281","name":"EDSL.dsl_stmt.quot","line":281,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_stmt.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_stmt.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L280-L280","name":"EDSL.dsl_expr.quot","line":280,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_expr.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_expr.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L280-L280","name":"Lean.Parser.Category.dsl_expr","line":280,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_expr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_expr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L279-L279","name":"EDSL.dsl_op.quot","line":279,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_op.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_op.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L279-L279","name":"Lean.Parser.Category.dsl_op","line":279,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L278-L278","name":"Lean.Parser.Category.dsl_bb","line":278,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_bb","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_bb :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L278-L278","name":"EDSL.dsl_bb.quot","line":278,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_bb.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_bb.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L277-L277","name":"EDSL.dsl_region.quot","line":277,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_region.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_region.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L277-L277","name":"Lean.Parser.Category.dsl_region","line":277,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_region","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_region :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L243-L269","name":"SSA.TSSA.evalM","line":243,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSA.evalM\n{Op : Type}\n\n{β : Type}\n\n{M : Type → Type}\n\n[inst : Goedel β]\n\n[TUSM : SSA.TypedUserSemanticsM Op β M]\n\n[inst : Monad M]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.evalM M i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L235-L238","name":"SSA.TSSAIndex.evalM","line":235,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSAIndex.evalM\n{β : Type}\n\n[inst : Goedel β]\n\n(M : Type → Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L230-L230","name":"SSA.TypedUserSemanticsM.evalM","line":230,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.TypedUserSemanticsM.evalM\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemanticsM Op β M]\n\n(o : Op)\n\n(arg : SSA.UserType.toType (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    M (SSA.UserType.toType (SSA.OperationTypes.outUserType o))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L229-L229","name":"SSA.TypedUserSemanticsM.mk","line":229,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TypedUserSemanticsM.mk\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(evalM : (o : Op) →\n SSA.UserType.toType (SSA.OperationTypes.argUserType o) →\n (SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o))) →\n M (SSA.UserType.toType (SSA.OperationTypes.outUserType o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemanticsM Op β M
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L229-L232","name":"SSA.TypedUserSemanticsM","line":229,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.TypedUserSemanticsM\n(Op : Type)\n\n(β : outParam Type)\n\n(M : outParam (Type → Type))\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L206-L226","name":"SSA.TSSA.eval","line":206,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSA.eval\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.TypedUserSemantics Op β]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.eval i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L202-L203","name":"SSA.TSSA.var","line":202,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.var","doc":"a variable. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.var\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L201-L201","name":"SSA.TSSA.rgnvar","line":201,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgnvar\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(v : SSA.Context.Var Γ (SSA.UserType.region T₁ T₂))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L199-L199","name":"SSA.TSSA.rgn0","line":199,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgn0\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION SSA.UserType.unit SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L196-L197","name":"SSA.TSSA.rgn","line":196,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgn\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(arg : SSA.Var)\n\n{dom : SSA.UserType β}\n\n{cod : SSA.UserType β}\n\n(body : SSA.TSSA Op (SSA.Context.snoc Γ arg dom) (SSA.TSSAIndex.STMT cod))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION dom cod)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L192-L194","name":"SSA.TSSA.op","line":192,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.op\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(o : Op)\n\n(arg : SSA.Context.Var Γ (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.TSSA Op SSA.Context.empty (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom o) (SSA.OperationTypes.rgnCod o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.OperationTypes.outUserType o))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L190-L191","name":"SSA.TSSA.triple","line":190,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.triple","doc":"(fst, snd, third) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.triple\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n{T₃ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n\n(third : SSA.Context.Var Γ T₃)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.triple T₁ T₂ T₃))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L188-L189","name":"SSA.TSSA.pair","line":188,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.pair","doc":"(fst, snd) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.pair\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.pair T₁ T₂))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L186-L187","name":"SSA.TSSA.ret","line":186,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.ret","doc":"above; ret v "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.ret\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L184-L185","name":"SSA.TSSA.unit","line":184,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.unit","doc":"build a unit value "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.unit\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L179-L183","name":"SSA.TSSA.assign","line":179,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.assign","doc":"lhs := rhs; rest of the program "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.assign\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T' : SSA.UserType β}\n\n{T : SSA.UserType β}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T))\n\n(rest : SSA.TSSA Op (SSA.Context.snoc Γ lhs T) (SSA.TSSAIndex.STMT T'))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T')
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L177-L203","name":"SSA.TSSA","line":177,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.TSSA\n(Op : Type)\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n(Γ : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L170-L173","name":"SSA.TSSAIndex.eval","line":170,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSAIndex.eval\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L166-L167","name":"SSA.TSSAIndex.REGION","line":166,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.REGION","doc":"a lambda "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.REGION\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L164-L165","name":"SSA.TSSAIndex.STMT","line":164,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.STMT","doc":"A statement eventually returning a value of type `β` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.STMT\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L162-L163","name":"SSA.TSSAIndex.EXPR","line":162,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.EXPR","doc":"Ways of making an RHS "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.EXPR\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L161-L167","name":"SSA.TSSAIndex","line":161,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.TSSAIndex\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L159-L159","name":"SSA.instEmptyCollectionEnvCEmpty","line":159,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionEnvCEmpty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionEnvCEmpty\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.EnvC SSA.Context.empty)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L156-L157","name":"SSA.EnvC.empty","line":156,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.EnvC.empty\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.EnvC SSA.Context.empty
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L151-L154","name":"SSA.Context.Var.emptyElim","line":151,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.emptyElim","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Context.Var.emptyElim\n{P : Sort u_1}\n\n{β : Type}\n\n{a : SSA.UserType β}\n\n(v : SSA.Context.Var SSA.Context.empty a)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    P
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L148-L149","name":"SSA.EnvC","line":148,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.EnvC\n{β : Type}\n\n[inst : Goedel β]\n\n(c : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L145-L146","name":"SSA.instEmptyCollectionContext","line":145,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionContext\n{α : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.Context α)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L142-L143","name":"SSA.Context.Var.last","line":142,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.last","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.Var.last\n{β : Type}\n\n{Γ : SSA.Context β}\n\n{v : SSA.Var}\n\n{a : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context.Var (SSA.Context.snoc Γ v a) a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L140-L141","name":"SSA.Context.Var.prev","line":140,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.prev","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.Var.prev\n{β : Type}\n\n{a : SSA.UserType β}\n\n{v' : SSA.Var}\n\n{a' : SSA.UserType β}\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L139-L143","name":"SSA.Context.Var","line":139,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Context.Var\n{β : Type}\n\n(Γ : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L137-L137","name":"SSA.Context.snoc","line":137,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.snoc","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.snoc\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L136-L136","name":"SSA.Context.empty","line":136,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.empty\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L135-L137","name":"SSA.Context","line":135,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Context\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L132-L132","name":"SSA.TypedUserSemantics.eval","line":132,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.TypedUserSemantics.eval\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemantics Op β]\n\n(o : Op)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L131-L131","name":"SSA.TypedUserSemantics.mk","line":131,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TypedUserSemantics.mk\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(eval : (o : Op) →\n ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Op β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L131-L133","name":"SSA.TypedUserSemantics","line":131,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.TypedUserSemantics\n(Op : Type)\n\n(β : outParam Type)\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L129-L129","name":"SSA.OperationTypes.outUserType","line":129,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.outUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L128-L128","name":"SSA.OperationTypes.rgnCod","line":128,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.rgnCod\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L127-L127","name":"SSA.OperationTypes.rgnDom","line":127,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.rgnDom\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L126-L126","name":"SSA.OperationTypes.argUserType","line":126,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.argUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L125-L125","name":"SSA.OperationTypes.mk","line":125,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.OperationTypes.mk\n{Op : Type}\n\n{β : outParam Type}\n\n(argUserType : Op → SSA.UserType β)\n\n(rgnDom : Op → SSA.UserType β)\n\n(rgnCod : Op → SSA.UserType β)\n\n(outUserType : Op → SSA.UserType β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.OperationTypes Op β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L125-L129","name":"SSA.OperationTypes","line":125,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes","doc":"Typeclass for a user semantics of `Op`, with base type `β`.\nThe type β has to implement the `Goedel` typeclass, mapping into `Lean` types.\nThis typeclass has several arguments that have to be defined to give semantics to\nthe operations of type `Op`:\n* `argUserType` and `outUserType`, functions of type `Op → UserType β`, give the type of the\n arguments and the output of the operation.\n* `rgnDom` and `rgnCod`, functions of type `Op → UserType β`, give the type of the\n domain and codomain of regions within the operation.\n* `eval` gives the actual evaluation semantics of the operation, by defining a function for\n every operation `o : Op` of type `toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o)`.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.OperationTypes\n(Op : Type)\n\n(β : outParam Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L109-L110","name":"SSA.UserType.trdTriple","line":109,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.trdTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.trdTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L106-L107","name":"SSA.UserType.sndTriple","line":106,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.sndTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L103-L104","name":"SSA.UserType.fstTriple","line":103,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.fstTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L100-L101","name":"SSA.UserType.sndPair","line":100,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.sndPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L97-L98","name":"SSA.UserType.fstPair","line":97,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.fstPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L94-L95","name":"SSA.UserType.mkTriple","line":94,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.mkTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦k₁⟧ → ⟦k₂⟧ → ⟦k₃⟧ → ⟦SSA.UserType.triple k₁ k₂ k₃⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L91-L92","name":"SSA.UserType.mkPair","line":91,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.mkPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦k₁⟧ → ⟦k₂⟧ → ⟦SSA.UserType.pair k₁ k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L88-L89","name":"SSA.UserType.instGoedelUserType","line":88,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instGoedelUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instGoedelUserType\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L81-L86","name":"SSA.UserType.toType","line":81,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.toType\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L78-L78","name":"SSA.UserType.instInhabitedUserType","line":78,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instInhabitedUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instInhabitedUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L74-L76","name":"SSA.UserType.instCoeProdUserType_2","line":74,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType_2\n{α : Type u_1}\n\n{β : Type}\n\n{α' : Type u_2}\n\n[A : Coe α (SSA.UserType β)]\n\n[A' : Coe α' (SSA.UserType β)]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (α × α') (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L71-L72","name":"SSA.UserType.instCoeUnitUserType","line":71,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUnitUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeUnitUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe Unit (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L68-L69","name":"SSA.UserType.instCoeProdUserType_1","line":68,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType_1\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L64-L65","name":"SSA.UserType.instCoeProdUserType","line":64,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L62-L62","name":"SSA.UserType.instCoeUserType","line":62,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe β (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L59-L60","name":"SSA.UserType.UserType.ofUnit","line":59,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofUnit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofUnit\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Unit → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L55-L56","name":"SSA.UserType.UserType.ofTriple","line":55,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofTriple\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L51-L52","name":"SSA.UserType.UserType.ofPair","line":51,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofPair\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L48-L48","name":"SSA.UserType.UserType.ofBase","line":48,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofBase","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofBase\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L35-L43","name":"SSA.UserType.instReprUserType.go","line":35,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.instReprUserType.go\n{β : Type}\n\n[inst : Repr β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → ℕ → Lean.Format
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L33-L44","name":"SSA.UserType.instReprUserType","line":33,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instReprUserType\n{β : Type}\n\n[inst : Repr β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L28-L28","name":"SSA.instDecidableEqUserType","line":28,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instDecidableEqUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instDecidableEqUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L27-L27","name":"SSA.UserType.region","line":27,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.region","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.region\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L26-L26","name":"SSA.UserType.unit","line":26,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.unit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.unit\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L25-L25","name":"SSA.UserType.triple","line":25,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.triple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.triple\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L24-L24","name":"SSA.UserType.pair","line":24,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.pair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.pair\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L23-L23","name":"SSA.UserType.base","line":23,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.base","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.base\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L22-L28","name":"SSA.UserType","line":22,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType","doc":"A `UserType` is a type of user-defined values in `SSA` programs.\nThe main objective of `UserType` is to be able to have decidability\nproperties, like decidable equality, for the restricted set of types\nin the user-defined semantics, since Lean's `Type` does not have these\nproperties. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.UserType\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L13-L13","name":"instGoedelUnit","line":13,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#instGoedelUnit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstGoedelUnit :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L11-L11","name":"«term⟦_⟧»","line":11,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#«term⟦_⟧»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«term⟦_⟧» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nGoedel.toType\n{β : Type}\n\n[self : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nGoedel.mk\n{β : Type}\n\n(toType : β → Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nGoedel\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L1-L1","name":"EDSL.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL.SSAElabContext.mk\n(vars : Array ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabContext
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Core.WellTypedFramework","instances":[{"typeNames":["Unit"],"name":"instGoedelUnit","className":"Goedel"},{"typeNames":["Eq","SSA.UserType"],"name":"SSA.instDecidableEqUserType","className":"Decidable"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instReprUserType","className":"Repr"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instCoeUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_1","className":"Coe"},{"typeNames":["Unit","SSA.UserType"],"name":"SSA.UserType.instCoeUnitUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_2","className":"Coe"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instInhabitedUserType","className":"Inhabited"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instGoedelUserType","className":"Goedel"},{"typeNames":["SSA.Context"],"name":"SSA.instEmptyCollectionContext","className":"EmptyCollection"},{"typeNames":["SSA.EnvC","SSA.Context.empty"],"name":"SSA.instEmptyCollectionEnvCEmpty","className":"EmptyCollection"}],"imports":["Init","SSA.Core.Framework","Mathlib.Data.Option.Basic","Mathlib.Data.List.AList"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.regionCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.regionDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.TypedUserSemantics.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.Option.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nParser.Attr.Bind.bind :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L420-L420","name":"EDSL.«term[dsl_region|_]»","line":420,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_region|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_region|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L413-L413","name":"EDSL.«term[dsl_bb|_]»","line":413,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_bb|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_bb|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L392-L410","name":"EDSL.elabStxExpr","line":392,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxExpr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStxExpr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_expr → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L383-L390","name":"EDSL.elabBB","line":383,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabBB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabBB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_bb → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L376-L381","name":"EDSL.elabStmt.go","line":376,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStmt.go\n(ret : Lean.TSyntax `dsl_var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L373-L381","name":"EDSL.elabStmt","line":373,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabStmt\n(ret : Lean.TSyntax `dsl_var)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L357-L364","name":"EDSL.elabAssign","line":357,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabAssign","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabAssign\n(mkNext : EDSL.SSAElabM (Lean.TSyntax `term))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L348-L355","name":"EDSL.elabRgn","line":348,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabRgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    partial def\nEDSL.elabRgn :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_region → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L338-L344","name":"EDSL.elabStxVar","line":338,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.elabStxVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_var → EDSL.SSAElabM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L334-L336","name":"EDSL.idxToContextVar","line":334,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.idxToContextVar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → Lean.MacroM (Lean.TSyntax `term)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L329-L331","name":"EDSL.dslVarToIx","line":329,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dslVarToIx","doc":"extract out the index (nat) of the dsl_var "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dslVarToIx :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TSyntax `dsl_var → Lean.MacroM ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L323-L326","name":"EDSL.SSAElabContext.getIndex?","line":323,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.getIndex?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.SSAElabContext.getIndex?\n(var : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabM (Option ℕ)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L318-L319","name":"EDSL.SSAElabContext.addVar","line":318,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.addVar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.SSAElabContext.addVar\n(var : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabM Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L316-L316","name":"EDSL.SSAElabM","line":316,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL.SSAElabM\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L314-L314","name":"EDSL.SSAElabContext.vars","line":314,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.vars","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nEDSL.SSAElabContext.vars\n(self : EDSL.SSAElabContext)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Array ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L313-L314","name":"EDSL.SSAElabContext","line":313,"kind":"structure","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nEDSL.SSAElabContext :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L307-L307","name":"EDSL.«dsl_regionRgn$(_)»","line":307,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_regionRgn$(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_regionRgn$(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L305-L305","name":"EDSL.«dsl_bb^bb_Dsl_ret_»","line":305,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_bb^bb_Dsl_ret_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_bb^bb_Dsl_ret_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L304-L304","name":"EDSL.«dsl_regionRgn{_=>_}»","line":304,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_regionRgn{_=>_}»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n_}»\">EDSL.«dsl_regionRgn{_=>_}» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L301-L301","name":"EDSL.«dsl_stmt_;»","line":301,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_stmt_;»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_stmt_;» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L300-L300","name":"EDSL.«dsl_assign_:=_»","line":300,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_assign_:=_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_assign_:=_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L299-L299","name":"EDSL.dsl_expr_","line":299,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_expr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_expr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L298-L298","name":"EDSL.«dsl_exprTriple:___»","line":298,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprTriple:___»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprTriple:___» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L297-L297","name":"EDSL.«dsl_exprPair:__»","line":297,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprPair:__»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprPair:__» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L296-L296","name":"EDSL.«dsl_exprUnit:»","line":296,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprUnit:»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprUnit:» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L295-L295","name":"EDSL.«dsl_exprOp:__,_»","line":295,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_exprOp:__,_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_exprOp:__,_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L292-L292","name":"EDSL.«dsl_var%v_»","line":292,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«dsl_var%v_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«dsl_var%v_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L289-L289","name":"EDSL.«term[dsl_op|_]»","line":289,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_op|_]»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.«term[dsl_op|_]» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L286-L286","name":"EDSL.dsl_rgnvar.quot","line":286,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_rgnvar.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_rgnvar.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L286-L286","name":"Lean.Parser.Category.dsl_rgnvar","line":286,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_rgnvar :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L285-L285","name":"Lean.Parser.Category.dsl_val","line":285,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_val :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L285-L285","name":"EDSL.dsl_val.quot","line":285,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_val.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_val.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L284-L284","name":"Lean.Parser.Category.dsl_var","line":284,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_var :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L284-L284","name":"EDSL.dsl_var.quot","line":284,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_var.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_var.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L282-L282","name":"Lean.Parser.Category.dsl_assign","line":282,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_assign","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_assign :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L282-L282","name":"EDSL.dsl_assign.quot","line":282,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_assign.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_assign.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L281-L281","name":"Lean.Parser.Category.dsl_stmt","line":281,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_stmt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_stmt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L281-L281","name":"EDSL.dsl_stmt.quot","line":281,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_stmt.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_stmt.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L280-L280","name":"EDSL.dsl_expr.quot","line":280,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_expr.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_expr.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L280-L280","name":"Lean.Parser.Category.dsl_expr","line":280,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_expr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_expr :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L279-L279","name":"EDSL.dsl_op.quot","line":279,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_op.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_op.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L279-L279","name":"Lean.Parser.Category.dsl_op","line":279,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L278-L278","name":"Lean.Parser.Category.dsl_bb","line":278,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_bb","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_bb :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L278-L278","name":"EDSL.dsl_bb.quot","line":278,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_bb.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_bb.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L277-L277","name":"EDSL.dsl_region.quot","line":277,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.dsl_region.quot","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nEDSL.dsl_region.quot :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L277-L277","name":"Lean.Parser.Category.dsl_region","line":277,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Lean.Parser.Category.dsl_region","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nLean.Parser.Category.dsl_region :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.Parser.Category
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L243-L269","name":"SSA.TSSA.evalM","line":243,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSA.evalM\n{Op : Type}\n\n{β : Type}\n\n{M : Type → Type}\n\n[inst : Goedel β]\n\n[TUSM : SSA.TypedUserSemanticsM Op β M]\n\n[inst : Monad M]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.evalM M i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L235-L238","name":"SSA.TSSAIndex.evalM","line":235,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSAIndex.evalM\n{β : Type}\n\n[inst : Goedel β]\n\n(M : Type → Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L230-L230","name":"SSA.TypedUserSemanticsM.evalM","line":230,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.evalM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.TypedUserSemanticsM.evalM\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemanticsM Op β M]\n\n(o : Op)\n\n(arg : SSA.UserType.toType (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    M (SSA.UserType.toType (SSA.OperationTypes.outUserType o))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L229-L229","name":"SSA.TypedUserSemanticsM.mk","line":229,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TypedUserSemanticsM.mk\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(evalM : (o : Op) →\n SSA.UserType.toType (SSA.OperationTypes.argUserType o) →\n (SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o))) →\n M (SSA.UserType.toType (SSA.OperationTypes.outUserType o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemanticsM Op β M
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L229-L232","name":"SSA.TypedUserSemanticsM","line":229,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.TypedUserSemanticsM\n(Op : Type)\n\n(β : outParam Type)\n\n(M : outParam (Type → Type))\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L206-L226","name":"SSA.TSSA.eval","line":206,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSA.eval\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.TypedUserSemantics Op β]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.eval i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L202-L203","name":"SSA.TSSA.var","line":202,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.var","doc":"a variable. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.var\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L201-L201","name":"SSA.TSSA.rgnvar","line":201,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgnvar","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgnvar\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(v : SSA.Context.Var Γ (SSA.UserType.region T₁ T₂))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L199-L199","name":"SSA.TSSA.rgn0","line":199,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgn0\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION SSA.UserType.unit SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L196-L197","name":"SSA.TSSA.rgn","line":196,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.rgn\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(arg : SSA.Var)\n\n{dom : SSA.UserType β}\n\n{cod : SSA.UserType β}\n\n(body : SSA.TSSA Op (SSA.Context.snoc Γ arg dom) (SSA.TSSAIndex.STMT cod))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.REGION dom cod)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L192-L194","name":"SSA.TSSA.op","line":192,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.op\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(o : Op)\n\n(arg : SSA.Context.Var Γ (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.TSSA Op SSA.Context.empty (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom o) (SSA.OperationTypes.rgnCod o)))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.OperationTypes.outUserType o))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L190-L191","name":"SSA.TSSA.triple","line":190,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.triple","doc":"(fst, snd, third) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.triple\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n{T₃ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n\n(third : SSA.Context.Var Γ T₃)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.triple T₁ T₂ T₃))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L188-L189","name":"SSA.TSSA.pair","line":188,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.pair","doc":"(fst, snd) "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.pair\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.pair T₁ T₂))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L186-L187","name":"SSA.TSSA.ret","line":186,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.ret","doc":"above; ret v "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.ret\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L184-L185","name":"SSA.TSSA.unit","line":184,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.unit","doc":"build a unit value "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.unit\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L179-L183","name":"SSA.TSSA.assign","line":179,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.assign","doc":"lhs := rhs; rest of the program "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSA.assign\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T' : SSA.UserType β}\n\n{T : SSA.UserType β}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T))\n\n(rest : SSA.TSSA Op (SSA.Context.snoc Γ lhs T) (SSA.TSSAIndex.STMT T'))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T')
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L177-L203","name":"SSA.TSSA","line":177,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.TSSA\n(Op : Type)\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n(Γ : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L170-L173","name":"SSA.TSSAIndex.eval","line":170,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.TSSAIndex.eval\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSAIndex β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L166-L167","name":"SSA.TSSAIndex.REGION","line":166,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.REGION","doc":"a lambda "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.REGION\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L164-L165","name":"SSA.TSSAIndex.STMT","line":164,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.STMT","doc":"A statement eventually returning a value of type `β` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.STMT\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L162-L163","name":"SSA.TSSAIndex.EXPR","line":162,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.EXPR","doc":"Ways of making an RHS "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TSSAIndex.EXPR\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.TSSAIndex β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L161-L167","name":"SSA.TSSAIndex","line":161,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.TSSAIndex\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L159-L159","name":"SSA.instEmptyCollectionEnvCEmpty","line":159,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionEnvCEmpty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionEnvCEmpty\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.EnvC SSA.Context.empty)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L156-L157","name":"SSA.EnvC.empty","line":156,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.EnvC.empty\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.EnvC SSA.Context.empty
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L151-L154","name":"SSA.Context.Var.emptyElim","line":151,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.emptyElim","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.Context.Var.emptyElim\n{P : Sort u_1}\n\n{β : Type}\n\n{a : SSA.UserType β}\n\n(v : SSA.Context.Var SSA.Context.empty a)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    P
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L148-L149","name":"SSA.EnvC","line":148,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.EnvC\n{β : Type}\n\n[inst : Goedel β]\n\n(c : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L145-L146","name":"SSA.instEmptyCollectionContext","line":145,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionContext","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instEmptyCollectionContext\n{α : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EmptyCollection (SSA.Context α)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L142-L143","name":"SSA.Context.Var.last","line":142,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.last","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.Var.last\n{β : Type}\n\n{Γ : SSA.Context β}\n\n{v : SSA.Var}\n\n{a : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context.Var (SSA.Context.snoc Γ v a) a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L140-L141","name":"SSA.Context.Var.prev","line":140,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.prev","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.Var.prev\n{β : Type}\n\n{a : SSA.UserType β}\n\n{v' : SSA.Var}\n\n{a' : SSA.UserType β}\n\n{Γ : SSA.Context β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L139-L143","name":"SSA.Context.Var","line":139,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Context.Var\n{β : Type}\n\n(Γ : SSA.Context β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L137-L137","name":"SSA.Context.snoc","line":137,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.snoc","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.snoc\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L136-L136","name":"SSA.Context.empty","line":136,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.Context.empty\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.Context β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L135-L137","name":"SSA.Context","line":135,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.Context\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L132-L132","name":"SSA.TypedUserSemantics.eval","line":132,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.TypedUserSemantics.eval\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemantics Op β]\n\n(o : Op)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L131-L131","name":"SSA.TypedUserSemantics.mk","line":131,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.TypedUserSemantics.mk\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(eval : (o : Op) →\n ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Op β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L131-L133","name":"SSA.TypedUserSemantics","line":131,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.TypedUserSemantics\n(Op : Type)\n\n(β : outParam Type)\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L129-L129","name":"SSA.OperationTypes.outUserType","line":129,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.outUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L128-L128","name":"SSA.OperationTypes.rgnCod","line":128,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.rgnCod\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L127-L127","name":"SSA.OperationTypes.rgnDom","line":127,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.rgnDom\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L126-L126","name":"SSA.OperationTypes.argUserType","line":126,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nSSA.OperationTypes.argUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L125-L125","name":"SSA.OperationTypes.mk","line":125,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.OperationTypes.mk\n{Op : Type}\n\n{β : outParam Type}\n\n(argUserType : Op → SSA.UserType β)\n\n(rgnDom : Op → SSA.UserType β)\n\n(rgnCod : Op → SSA.UserType β)\n\n(outUserType : Op → SSA.UserType β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.OperationTypes Op β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L125-L129","name":"SSA.OperationTypes","line":125,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes","doc":"Typeclass for a user semantics of `Op`, with base type `β`.\nThe type β has to implement the `Goedel` typeclass, mapping into `Lean` types.\nThis typeclass has several arguments that have to be defined to give semantics to\nthe operations of type `Op`:\n* `argUserType` and `outUserType`, functions of type `Op → UserType β`, give the type of the\n arguments and the output of the operation.\n* `rgnDom` and `rgnCod`, functions of type `Op → UserType β`, give the type of the\n domain and codomain of regions within the operation.\n* `eval` gives the actual evaluation semantics of the operation, by defining a function for\n every operation `o : Op` of type `toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o)`.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nSSA.OperationTypes\n(Op : Type)\n\n(β : outParam Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L109-L110","name":"SSA.UserType.trdTriple","line":109,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.trdTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.trdTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L106-L107","name":"SSA.UserType.sndTriple","line":106,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.sndTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L103-L104","name":"SSA.UserType.fstTriple","line":103,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.fstTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L100-L101","name":"SSA.UserType.sndPair","line":100,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.sndPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L97-L98","name":"SSA.UserType.fstPair","line":97,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.fstPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L94-L95","name":"SSA.UserType.mkTriple","line":94,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.mkTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦k₁⟧ → ⟦k₂⟧ → ⟦k₃⟧ → ⟦SSA.UserType.triple k₁ k₂ k₃⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L91-L92","name":"SSA.UserType.mkPair","line":91,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.mkPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦k₁⟧ → ⟦k₂⟧ → ⟦SSA.UserType.pair k₁ k₂⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L88-L89","name":"SSA.UserType.instGoedelUserType","line":88,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instGoedelUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instGoedelUserType\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L81-L86","name":"SSA.UserType.toType","line":81,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.toType\n{β : Type}\n\n[inst : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L78-L78","name":"SSA.UserType.instInhabitedUserType","line":78,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instInhabitedUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instInhabitedUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L74-L76","name":"SSA.UserType.instCoeProdUserType_2","line":74,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType_2\n{α : Type u_1}\n\n{β : Type}\n\n{α' : Type u_2}\n\n[A : Coe α (SSA.UserType β)]\n\n[A' : Coe α' (SSA.UserType β)]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (α × α') (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L71-L72","name":"SSA.UserType.instCoeUnitUserType","line":71,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUnitUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeUnitUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe Unit (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L68-L69","name":"SSA.UserType.instCoeProdUserType_1","line":68,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType_1\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L64-L65","name":"SSA.UserType.instCoeProdUserType","line":64,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeProdUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L62-L62","name":"SSA.UserType.instCoeUserType","line":62,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instCoeUserType\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe β (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L59-L60","name":"SSA.UserType.UserType.ofUnit","line":59,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofUnit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofUnit\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Unit → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L55-L56","name":"SSA.UserType.UserType.ofTriple","line":55,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofTriple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofTriple\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L51-L52","name":"SSA.UserType.UserType.ofPair","line":51,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofPair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofPair\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β × SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L48-L48","name":"SSA.UserType.UserType.ofBase","line":48,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofBase","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.UserType.ofBase\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L35-L43","name":"SSA.UserType.instReprUserType.go","line":35,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType.go","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nSSA.UserType.instReprUserType.go\n{β : Type}\n\n[inst : Repr β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → ℕ → Lean.Format
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L33-L44","name":"SSA.UserType.instReprUserType","line":33,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.UserType.instReprUserType\n{β : Type}\n\n[inst : Repr β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L28-L28","name":"SSA.instDecidableEqUserType","line":28,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instDecidableEqUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nSSA.instDecidableEqUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    {β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L27-L27","name":"SSA.UserType.region","line":27,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.region","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.region\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L26-L26","name":"SSA.UserType.unit","line":26,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.unit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.unit\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L25-L25","name":"SSA.UserType.triple","line":25,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.triple","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.triple\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L24-L24","name":"SSA.UserType.pair","line":24,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.pair","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.pair\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.UserType β → SSA.UserType β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L23-L23","name":"SSA.UserType.base","line":23,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.base","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nSSA.UserType.base\n{β : Type}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → SSA.UserType β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L22-L28","name":"SSA.UserType","line":22,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType","doc":"A `UserType` is a type of user-defined values in `SSA` programs.\nThe main objective of `UserType` is to be able to have decidability\nproperties, like decidable equality, for the restricted set of types\nin the user-defined semantics, since Lean's `Type` does not have these\nproperties. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nSSA.UserType\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L13-L13","name":"instGoedelUnit","line":13,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#instGoedelUnit","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstGoedelUnit :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel Unit
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L11-L11","name":"«term⟦_⟧»","line":11,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#«term⟦_⟧»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«term⟦_⟧» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nGoedel.toType\n{β : Type}\n\n[self : Goedel β]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nGoedel.mk\n{β : Type}\n\n(toType : β → Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    class\nGoedel\n(β : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L1-L1","name":"EDSL.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nEDSL.SSAElabContext.mk\n(vars : Array ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    EDSL.SSAElabContext
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp index 16bdbfb41..a238428f9 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.Alive","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Tactic","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.AliveStatements","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5422-L5458","name":"alive_InstCombineShift__724","line":5422,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__724","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__724 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5374-L5409","name":"alive_InstCombineShift__582","line":5374,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__582","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__582 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5323-L5361","name":"alive_InstCombineShift__497'''","line":5323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497'''","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__497''' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5271-L5309","name":"alive_InstCombineShift__497","line":5271,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__497 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5207-L5257","name":"alive_InstCombineShift__476","line":5207,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__476","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__476 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))))\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5143-L5188","name":"alive_InstCombineShift__458","line":5143,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__458","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__458 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5076-L5126","name":"alive_InstCombineShift__440","line":5076,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__440","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__440 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L5012-L5057","name":"alive_InstCombineShift__422_2","line":5012,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__422_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4950-L4995","name":"alive_InstCombineShift__422_1","line":4950,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__422_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4897-L4933","name":"alive_InstCombineShift__351","line":4897,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__351","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__351 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4849-L4884","name":"alive_InstCombineShift__279","line":4849,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__279","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__279 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4801-L4836","name":"alive_InstCombineShift__239","line":4801,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4761-L4788","name":"alive_Select_1105","line":4761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1105","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_1105 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4723-L4750","name":"alive_Select_1100","line":4723,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1100","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_1100 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4684-L4712","name":"alive_Select_852","line":4684,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_852","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_852 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4645-L4673","name":"alive_Select_851","line":4645,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_851","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_851 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last\n (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4602-L4634","name":"alive_Select_859","line":4602,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_859","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_859 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4561-L4590","name":"alive_Select_855","line":4561,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_855","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_855 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4518-L4550","name":"alive_Select_850","line":4518,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_850","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_850 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4477-L4506","name":"alive_Select_846","line":4477,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_846","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_846 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4438-L4466","name":"alive_1030","line":4438,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_1030","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_1030 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4393-L4427","name":"alive_891","line":4393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_891","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_891 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.udiv 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4344-L4380","name":"alive_820'","line":4344,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820'","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_820' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4293-L4329","name":"alive_820","line":4293,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_820 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4244-L4278","name":"alive_290__292","line":4244,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_290__292","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_290__292 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4203-L4231","name":"alive_283","line":4203,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_283","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_283 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4152-L4192","name":"alive_276_2","line":4152,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_276_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4096-L4136","name":"alive_276","line":4096,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_276 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L4046-L4080","name":"alive_275_2","line":4046,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_275_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3998-L4032","name":"alive_275","line":3998,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_275 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3944-L3984","name":"alive_239","line":3944,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3891-L3929","name":"alive_229","line":3891,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_229","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_229 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3840-L3876","name":"alive_160","line":3840,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_160","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_160 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3799-L3827","name":"alive_152","line":3799,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3752-L3788","name":"alive_AndOrXor_2663","line":3752,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2663","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2663 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3690-L3737","name":"alive_AndOrXor_2658","line":3690,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2658","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2658 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3636-L3672","name":"alive_AndOrXor_2647","line":3636,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2647","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2647 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3578-L3621","name":"alive_AndOrXor_2627","line":3578,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2627","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2627 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const c_1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const c_1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3513-L3561","name":"alive_AndOrXor_2617","line":3513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2617","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2617 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3446-L3494","name":"alive_AndOrXor_2607","line":3446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2607","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2607 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3391-L3427","name":"alive_AndOrXor_2595","line":3391,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2595","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2595 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3341-L3376","name":"alive_AndOrXor_2587__BAA___B__A","line":3341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2587__BAA___B__A","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2587__BAA___B__A :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3292-L3327","name":"alive_AndOrXor_2581__BAB___A__B","line":3292,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2581__BAB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2581__BAB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3242-L3278","name":"alive_AndOrXor_2486","line":3242,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2486","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2486 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3193-L3229","name":"alive_AndOrXor_2475","line":3193,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2475","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2475 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3147-L3180","name":"alive_AndOrXor_2453","line":3147,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2453","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2453 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3095-L3134","name":"alive_AndOrXor_2443","line":3095,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2443","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2443 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L3041-L3080","name":"alive_AndOrXor_2430","line":3041,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2430","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2430 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2987-L3026","name":"alive_AndOrXor_2429","line":2987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2429","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2429 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2930-L2972","name":"alive_AndOrXor_2417","line":2930,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2417","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2417 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2872-L2914","name":"alive_AndOrXor_2416","line":2872,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2416","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2416 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2820-L2856","name":"alive_AndOrXor_2367","line":2820,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2367","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2367 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2764-L2806","name":"alive_AndOrXor_2297","line":2764,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2297","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2297 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2706-L2747","name":"alive_AndOrXor_2285","line":2706,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2285","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2285 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2649-L2690","name":"alive_AndOrXor_2284","line":2649,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2284","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2284 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2597-L2633","name":"alive_AndOrXor_2265","line":2597,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2265","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2265 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2541-L2582","name":"alive_AndOrXor_2264","line":2541,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2264","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2264 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2493-L2525","name":"alive_AndOrXor_2263","line":2493,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2263","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2263 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2437-L2480","name":"alive_AndOrXor_2247__A__B__A__B","line":2437,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2247__A__B__A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2247__A__B__A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2381-L2421","name":"alive_AndOrXor_2243__B__C__A__B___B__A__C","line":2381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2243__B__C__A__B___B__A__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2323-L2365","name":"alive_AndOrXor_2231__A__B__B__C__A___A__B__C","line":2323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2231__A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2258-L2306","name":"alive_AndOrXor_2188","line":2258,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2188","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2188 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2197-L2239","name":"alive_AndOrXor_2123___A__B__A__B___A__B","line":2197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2123___A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2142-L2180","name":"alive_AndOrXor_2118___A__B__A___A__B","line":2142,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2118___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2089-L2127","name":"alive_AndOrXor_2113___A__B__A___A__B","line":2089,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2113___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L2035-L2074","name":"alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":2035,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.not w)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1978-L2021","name":"alive_AndOrXor_1733","line":1978,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1733","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1733 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1921-L1962","name":"alive_AndOrXor_1705","line":1921,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1705","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1705 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1864-L1905","name":"alive_AndOrXor_1704","line":1864,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1704","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1704 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1812-L1848","name":"alive_AndOrXor_1683_2","line":1812,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1683_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1761-L1797","name":"alive_AndOrXor_1683_1","line":1761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1683_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1704-L1746","name":"alive_AndOrXor_1294_A__B__A__B___A__B","line":1704,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1294_A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1642-L1687","name":"alive_AndOrXor_1288_A__B__B__C__A___A__B__C","line":1642,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1288_A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1586-L1624","name":"alive_AndOrXor_1280_ABA___AB","line":1586,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1280_ABA___AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1280_ABA___AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1536-L1571","name":"alive_AndOrXor_1253_A__AB___A__B","line":1536,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1253_A__AB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1253_A__AB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1480-L1522","name":"alive_AndOrXor_1247_AB__AB__AB","line":1480,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1247_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1247_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1421-L1463","name":"alive_AndOrXor_1241_AB__AB__AB","line":1421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1241_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1241_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1361-L1404","name":"alive_AndOrXor_1230__A__B___A__B","line":1361,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1230__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1230__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const notOp1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const notOp1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1309-L1345","name":"alive_AndOrXor_887_2","line":1309,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_887_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_887_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1251-L1294","name":"alive_AndOrXor_827","line":1251,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_827","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_827 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1199-L1235","name":"alive_AndOrXor_794","line":1199,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_794","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_794 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1134-L1184","name":"alive_AndOrXor_716","line":1134,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_716","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_716 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L1063-L1113","name":"alive_AndOrXor_709","line":1063,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_709","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_709 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L987-L1042","name":"alive_AndOrXor_698","line":987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_698","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_698 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 19\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 20\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L928-L966","name":"alive_AndOrXor_144","line":928,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_144","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_144 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L876-L914","name":"alive_AndOrXor_135","line":876,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_135","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_135 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L826-L862","name":"alive_AddSub_1624","line":826,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1624","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1624 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L778-L811","name":"alive_AddSub_1619","line":778,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1619","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1619 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L732-L765","name":"alive_AddSub_1614","line":732,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1614","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1614 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L683-L719","name":"alive_AddSub_1574","line":683,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1574","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1574 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L633-L670","name":"alive_AddSub_1564","line":633,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1564","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1564 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L592-L620","name":"alive_AddSub_1560","line":592,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1560","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1560 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (-1)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L553-L581","name":"alive_AddSub_1556","line":553,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1556","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1556 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L513-L542","name":"alive_AddSub_1539_2","line":513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1539_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.neg w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L468-L502","name":"alive_AddSub_1539","line":468,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1539 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L419-L455","name":"alive_AddSub_1309","line":419,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1309","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1309 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L368-L404","name":"alive_AddSub_1295","line":368,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1295","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1295 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L316-L353","name":"alive_AddSub_1202","line":316,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1202","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1202 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L269-L303","name":"alive_AddSub_1176","line":269,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1176","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1176 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L213-L256","name":"alive_AddSub_1165","line":213,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1165","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1165 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L163-L197","name":"alive_AddSub_1164","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1164","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1164 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L123-L150","name":"alive_AddSub_1156","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1156","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1156 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.pair SSA.Context.Var.last SSA.Context.Var.last)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L84-L112","name":"alive_AddSub_1152","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Alive.lean#L26-L73","name":"alive_AddSub_1043","line":26,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1043","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1043 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.not w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.Alive","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Tactic","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.AliveStatements","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5422-L5458","name":"alive_InstCombineShift__724","line":5422,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__724","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__724 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5374-L5409","name":"alive_InstCombineShift__582","line":5374,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__582","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__582 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5323-L5361","name":"alive_InstCombineShift__497'''","line":5323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497'''","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__497''' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5271-L5309","name":"alive_InstCombineShift__497","line":5271,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__497 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5207-L5257","name":"alive_InstCombineShift__476","line":5207,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__476","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__476 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))))\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5143-L5188","name":"alive_InstCombineShift__458","line":5143,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__458","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__458 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5076-L5126","name":"alive_InstCombineShift__440","line":5076,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__440","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__440 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L5012-L5057","name":"alive_InstCombineShift__422_2","line":5012,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__422_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4950-L4995","name":"alive_InstCombineShift__422_1","line":4950,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__422_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4897-L4933","name":"alive_InstCombineShift__351","line":4897,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__351","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__351 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4849-L4884","name":"alive_InstCombineShift__279","line":4849,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__279","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__279 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4801-L4836","name":"alive_InstCombineShift__239","line":4801,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_InstCombineShift__239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4761-L4788","name":"alive_Select_1105","line":4761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1105","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_1105 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4723-L4750","name":"alive_Select_1100","line":4723,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1100","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_1100 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4684-L4712","name":"alive_Select_852","line":4684,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_852","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_852 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4645-L4673","name":"alive_Select_851","line":4645,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_851","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_851 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last\n (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4602-L4634","name":"alive_Select_859","line":4602,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_859","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_859 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4561-L4590","name":"alive_Select_855","line":4561,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_855","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_855 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4518-L4550","name":"alive_Select_850","line":4518,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_850","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_850 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4477-L4506","name":"alive_Select_846","line":4477,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_846","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_Select_846 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4438-L4466","name":"alive_1030","line":4438,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_1030","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_1030 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4393-L4427","name":"alive_891","line":4393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_891","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_891 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.udiv 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4344-L4380","name":"alive_820'","line":4344,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820'","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_820' :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4293-L4329","name":"alive_820","line":4293,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_820 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4244-L4278","name":"alive_290__292","line":4244,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_290__292","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_290__292 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4203-L4231","name":"alive_283","line":4203,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_283","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_283 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4152-L4192","name":"alive_276_2","line":4152,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_276_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4096-L4136","name":"alive_276","line":4096,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_276 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L4046-L4080","name":"alive_275_2","line":4046,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_275_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3998-L4032","name":"alive_275","line":3998,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_275 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3944-L3984","name":"alive_239","line":3944,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_239 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3891-L3929","name":"alive_229","line":3891,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_229","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_229 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3840-L3876","name":"alive_160","line":3840,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_160","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_160 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3799-L3827","name":"alive_152","line":3799,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3752-L3788","name":"alive_AndOrXor_2663","line":3752,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2663","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2663 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3690-L3737","name":"alive_AndOrXor_2658","line":3690,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2658","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2658 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3636-L3672","name":"alive_AndOrXor_2647","line":3636,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2647","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2647 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3578-L3621","name":"alive_AndOrXor_2627","line":3578,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2627","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2627 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const c_1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const c_1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3513-L3561","name":"alive_AndOrXor_2617","line":3513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2617","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2617 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3446-L3494","name":"alive_AndOrXor_2607","line":3446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2607","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2607 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3391-L3427","name":"alive_AndOrXor_2595","line":3391,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2595","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2595 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3341-L3376","name":"alive_AndOrXor_2587__BAA___B__A","line":3341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2587__BAA___B__A","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2587__BAA___B__A :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3292-L3327","name":"alive_AndOrXor_2581__BAB___A__B","line":3292,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2581__BAB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2581__BAB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3242-L3278","name":"alive_AndOrXor_2486","line":3242,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2486","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2486 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3193-L3229","name":"alive_AndOrXor_2475","line":3193,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2475","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2475 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3147-L3180","name":"alive_AndOrXor_2453","line":3147,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2453","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2453 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3095-L3134","name":"alive_AndOrXor_2443","line":3095,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2443","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2443 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L3041-L3080","name":"alive_AndOrXor_2430","line":3041,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2430","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2430 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2987-L3026","name":"alive_AndOrXor_2429","line":2987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2429","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2429 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2930-L2972","name":"alive_AndOrXor_2417","line":2930,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2417","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2417 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2872-L2914","name":"alive_AndOrXor_2416","line":2872,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2416","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2416 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2820-L2856","name":"alive_AndOrXor_2367","line":2820,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2367","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2367 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2764-L2806","name":"alive_AndOrXor_2297","line":2764,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2297","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2297 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2706-L2747","name":"alive_AndOrXor_2285","line":2706,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2285","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2285 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2649-L2690","name":"alive_AndOrXor_2284","line":2649,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2284","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2284 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2597-L2633","name":"alive_AndOrXor_2265","line":2597,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2265","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2265 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2541-L2582","name":"alive_AndOrXor_2264","line":2541,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2264","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2264 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2493-L2525","name":"alive_AndOrXor_2263","line":2493,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2263","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2263 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2437-L2480","name":"alive_AndOrXor_2247__A__B__A__B","line":2437,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2247__A__B__A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2247__A__B__A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2381-L2421","name":"alive_AndOrXor_2243__B__C__A__B___B__A__C","line":2381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2243__B__C__A__B___B__A__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2323-L2365","name":"alive_AndOrXor_2231__A__B__B__C__A___A__B__C","line":2323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2231__A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2258-L2306","name":"alive_AndOrXor_2188","line":2258,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2188","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2188 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2197-L2239","name":"alive_AndOrXor_2123___A__B__A__B___A__B","line":2197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2123___A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2142-L2180","name":"alive_AndOrXor_2118___A__B__A___A__B","line":2142,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2118___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2089-L2127","name":"alive_AndOrXor_2113___A__B__A___A__B","line":2089,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2113___A__B__A___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L2035-L2074","name":"alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":2035,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.not w)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1978-L2021","name":"alive_AndOrXor_1733","line":1978,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1733","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1733 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1921-L1962","name":"alive_AndOrXor_1705","line":1921,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1705","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1705 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1864-L1905","name":"alive_AndOrXor_1704","line":1864,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1704","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1704 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1812-L1848","name":"alive_AndOrXor_1683_2","line":1812,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1683_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1761-L1797","name":"alive_AndOrXor_1683_1","line":1761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1683_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1704-L1746","name":"alive_AndOrXor_1294_A__B__A__B___A__B","line":1704,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1294_A__B__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1642-L1687","name":"alive_AndOrXor_1288_A__B__B__C__A___A__B__C","line":1642,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1288_A__B__B__C__A___A__B__C :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1586-L1624","name":"alive_AndOrXor_1280_ABA___AB","line":1586,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1280_ABA___AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1280_ABA___AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1536-L1571","name":"alive_AndOrXor_1253_A__AB___A__B","line":1536,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1253_A__AB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1253_A__AB___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1480-L1522","name":"alive_AndOrXor_1247_AB__AB__AB","line":1480,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1247_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1247_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1421-L1463","name":"alive_AndOrXor_1241_AB__AB__AB","line":1421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1241_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1241_AB__AB__AB :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1361-L1404","name":"alive_AndOrXor_1230__A__B___A__B","line":1361,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1230__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_1230__A__B___A__B :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const notOp1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const notOp1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1309-L1345","name":"alive_AndOrXor_887_2","line":1309,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_887_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_887_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1251-L1294","name":"alive_AndOrXor_827","line":1251,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_827","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_827 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1199-L1235","name":"alive_AndOrXor_794","line":1199,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_794","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_794 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1134-L1184","name":"alive_AndOrXor_716","line":1134,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_716","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_716 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L1063-L1113","name":"alive_AndOrXor_709","line":1063,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_709","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_709 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L987-L1042","name":"alive_AndOrXor_698","line":987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_698","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_698 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 19\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 20\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L928-L966","name":"alive_AndOrXor_144","line":928,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_144","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_144 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L876-L914","name":"alive_AndOrXor_135","line":876,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_135","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AndOrXor_135 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L826-L862","name":"alive_AddSub_1624","line":826,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1624","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1624 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L778-L811","name":"alive_AddSub_1619","line":778,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1619","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1619 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L732-L765","name":"alive_AddSub_1614","line":732,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1614","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1614 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L683-L719","name":"alive_AddSub_1574","line":683,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1574","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1574 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L633-L670","name":"alive_AddSub_1564","line":633,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1564","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1564 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L592-L620","name":"alive_AddSub_1560","line":592,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1560","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1560 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (-1)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L553-L581","name":"alive_AddSub_1556","line":553,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1556","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1556 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L513-L542","name":"alive_AddSub_1539_2","line":513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1539_2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.neg w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L468-L502","name":"alive_AddSub_1539","line":468,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1539 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L419-L455","name":"alive_AddSub_1309","line":419,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1309","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1309 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L368-L404","name":"alive_AddSub_1295","line":368,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1295","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1295 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L316-L353","name":"alive_AddSub_1202","line":316,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1202","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1202 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L269-L303","name":"alive_AddSub_1176","line":269,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1176","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1176 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L213-L256","name":"alive_AddSub_1165","line":213,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1165","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1165 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L163-L197","name":"alive_AddSub_1164","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1164","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1164 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L123-L150","name":"alive_AddSub_1156","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1156","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1156 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.pair SSA.Context.Var.last SSA.Context.Var.last)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L84-L112","name":"alive_AddSub_1152","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1152 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Alive.lean#L26-L73","name":"alive_AddSub_1043","line":26,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1043","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nalive_AddSub_1043 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.not w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp index 3ceebed39..38751f196 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.AliveStatements","instances":[],"imports":["Init","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L526-L529","name":"bitvec_InstCombineShift__724","line":526,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__724","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__724\n(A : Bitvec 31)\n\n(C2 : Bitvec 31)\n\n(C1 : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C1 <<< A <<< C2 = C1 <<< C2 <<< A
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L521-L524","name":"bitvec_InstCombineShift__582","line":521,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__582","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__582\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L516-L519","name":"bitvec_InstCombineShift__497'''","line":516,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497'''","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__497'''\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X + C2) <<< C = X <<< C + C2 <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L511-L514","name":"bitvec_InstCombineShift__497","line":511,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__497\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ^^^ C2) >>> C = X >>> C ^^^ C2 >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L506-L509","name":"bitvec_InstCombineShift__476","line":506,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__476","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__476\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X >>> C &&& C2 ||| Y) <<< C = X &&& C2 <<< C ||| Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L501-L504","name":"bitvec_InstCombineShift__458","line":501,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__458","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__458\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L496-L499","name":"bitvec_InstCombineShift__440","line":496,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__440","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__440\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y ^^^ X >>> C &&& C2) <<< C = X &&& C2 <<< C ^^^ Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L491-L494","name":"bitvec_InstCombineShift__422_2","line":491,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__422_2\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L486-L489","name":"bitvec_InstCombineShift__422_1","line":486,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__422_1\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y + X >>> C) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L481-L484","name":"bitvec_InstCombineShift__351","line":481,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__351","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__351\n(X : Bitvec 7)\n\n(C1 : Bitvec 7)\n\n(C2 : Bitvec 7)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X * C1) <<< C2 = X * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L476-L479","name":"bitvec_InstCombineShift__279","line":476,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__279","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__279\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X >>> C <<< C = X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L471-L474","name":"bitvec_InstCombineShift__239","line":471,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__239\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L466-L469","name":"bitvec_Select_1105","line":466,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1105","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_1105\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select (Bitvec.ofBool false) X Y = Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L461-L464","name":"bitvec_Select_1100","line":461,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1100","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_1100\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select (Bitvec.ofBool true) X Y = X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L456-L459","name":"bitvec_Select_852","line":456,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_852","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_852\n(a : Bitvec 1)\n\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select a a b = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L451-L454","name":"bitvec_Select_851","line":451,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_851","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_851\n(a : Bitvec 1)\n\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select a b a = a &&& b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L446-L449","name":"bitvec_Select_859","line":446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_859","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_859\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B C (Bitvec.ofBool true) = B ^^^ Bitvec.ofBool true ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L441-L444","name":"bitvec_Select_855","line":441,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_855","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_855\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B C (Bitvec.ofBool false) = B &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L436-L439","name":"bitvec_Select_850","line":436,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_850","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_850\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B (Bitvec.ofBool false) C = (B ^^^ Bitvec.ofBool true) &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L431-L434","name":"bitvec_Select_846","line":431,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_846","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_846\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B (Bitvec.ofBool true) C = B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L426-L429","name":"bitvec_1030","line":426,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_1030","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_1030\n(w : ℕ)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? X (-1) ⊑ some (0 - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L421-L424","name":"bitvec_891","line":421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_891","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_891\n(x : Bitvec 13)\n\n(N : Bitvec 13)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L415-L419","name":"bitvec_820'","line":415,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820'","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_820'\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L409-L413","name":"bitvec_820","line":409,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_820\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L404-L407","name":"bitvec_290__292","line":404,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_290__292","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_290__292\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(Op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1 <<< Y * Op1 = Op1 <<< Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L399-L402","name":"bitvec_283","line":399,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_283","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_283\n(Y : Bitvec 1)\n\n(X : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X * Y = X &&& Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L393-L397","name":"bitvec_276_2","line":393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_276_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L387-L391","name":"bitvec_276","line":387,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_276\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L381-L385","name":"bitvec_275_2","line":381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_275_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L375-L379","name":"bitvec_275","line":375,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_275\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L370-L373","name":"bitvec_239","line":370,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_239\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (0 - X) * (0 - Y) = X * Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L365-L368","name":"bitvec_229","line":365,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_229","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_229\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(Op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X + C1) * Op1 = X * Op1 + C1 * Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L360-L363","name":"bitvec_160","line":360,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_160","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_160\n(x : Bitvec 7)\n\n(C1 : Bitvec 7)\n\n(C2 : Bitvec 7)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x <<< C2 * C1 = x * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L355-L358","name":"bitvec_152","line":355,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_152\n(w : ℕ)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x * -1 = 0 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L350-L353","name":"bitvec_AndOrXor_2663","line":350,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2663","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2663\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L345-L348","name":"bitvec_AndOrXor_2658","line":345,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2658","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2658\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& (b ^^^ -1) ^^^ (a ^^^ -1) = a &&& b ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L340-L343","name":"bitvec_AndOrXor_2647","line":340,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2647","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2647\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& b ^^^ (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L335-L338","name":"bitvec_AndOrXor_2627","line":335,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2627","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2627\n(w : ℕ)\n\n(a : Bitvec w)\n\n(c : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ^^^ c ^^^ (a ||| b) = (a ^^^ -1) &&& b ^^^ c
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L330-L333","name":"bitvec_AndOrXor_2617","line":330,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2617","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2617\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& (b ^^^ -1) ^^^ (a ^^^ -1) &&& b = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L325-L328","name":"bitvec_AndOrXor_2607","line":325,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2607","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2607\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a ||| b ^^^ -1) ^^^ (a ^^^ -1 ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L320-L323","name":"bitvec_AndOrXor_2595","line":320,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2595","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2595\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& b ^^^ (a ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L315-L318","name":"bitvec_AndOrXor_2587__BAA___B__A","line":315,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2587__BAA___B__A","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2587__BAA___B__A\n(w : ℕ)\n\n(a : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& op1 ^^^ op1 = (a ^^^ -1) &&& op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L310-L313","name":"bitvec_AndOrXor_2581__BAB___A__B","line":310,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2581__BAB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2581__BAB___A__B\n(w : ℕ)\n\n(a : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a ||| op1) ^^^ op1 = a &&& (op1 ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L305-L308","name":"bitvec_AndOrXor_2486","line":305,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2486","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2486\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x + C ^^^ -1 = -1 - C - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L300-L303","name":"bitvec_AndOrXor_2475","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2475","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2475\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - x ^^^ -1 = x + (-1 - C)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L295-L298","name":"bitvec_AndOrXor_2453","line":295,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2453","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2453\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.sle x y)) ^^^ -1 = Bitvec.ofBool (decide (Bitvec.sge x y))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L290-L293","name":"bitvec_AndOrXor_2443","line":290,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2443","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2443\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sshr (x ^^^ -1) (Bitvec.toNat y) ^^^ -1 = Bitvec.sshr x (Bitvec.toNat y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L285-L288","name":"bitvec_AndOrXor_2430","line":285,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2430","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2430\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (x ||| y) ^^^ -1 = (x ^^^ -1) &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L280-L283","name":"bitvec_AndOrXor_2429","line":280,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2429","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2429\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x &&& y ^^^ -1 = x ^^^ -1 ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L275-L278","name":"bitvec_AndOrXor_2417","line":275,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2417","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2417\n(w : ℕ)\n\n(nx : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (nx ^^^ -1 ||| y) ^^^ -1 = nx &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L270-L273","name":"bitvec_AndOrXor_2416","line":270,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2416","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2416\n(w : ℕ)\n\n(nx : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (nx ^^^ -1) &&& y ^^^ -1 = nx ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L265-L268","name":"bitvec_AndOrXor_2367","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2367","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2367\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C1 : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| C1 ||| op1 = A ||| op1 ||| C1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L260-L263","name":"bitvec_AndOrXor_2297","line":260,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2297","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2297\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ -1 ^^^ B = A ^^^ -1 ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L255-L258","name":"bitvec_AndOrXor_2285","line":255,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2285","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2285\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| A ^^^ B ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L250-L253","name":"bitvec_AndOrXor_2284","line":250,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2284","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2284\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| (A ||| B) ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L245-L248","name":"bitvec_AndOrXor_2265","line":245,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2265","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2265\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ B = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L240-L243","name":"bitvec_AndOrXor_2264","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2264","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2264\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| A ^^^ -1 ^^^ B = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L235-L238","name":"bitvec_AndOrXor_2263","line":235,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2263","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2263\n(w : ℕ)\n\n(B : Bitvec w)\n\n(op0 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    op0 ||| op0 ^^^ B = op0 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L230-L233","name":"bitvec_AndOrXor_2247__A__B__A__B","line":230,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2247__A__B__A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2247__A__B__A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ^^^ -1 ||| B ^^^ -1 = A &&& B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L225-L228","name":"bitvec_AndOrXor_2243__B__C__A__B___B__A__C","line":225,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2243__B__C__A__B___B__A__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (B ||| C) &&& A ||| B = B ||| A &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L220-L223","name":"bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","line":220,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2231__A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ^^^ B ||| B ^^^ C ^^^ A = A ^^^ B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L215-L218","name":"bitvec_AndOrXor_2188","line":215,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2188","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2188\n(w : ℕ)\n\n(A : Bitvec w)\n\n(D : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& (D ^^^ -1) ||| (A ^^^ -1) &&& D = A ^^^ D
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L210-L213","name":"bitvec_AndOrXor_2123___A__B__A__B___A__B","line":210,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2123___A__B__A__B___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& (B ^^^ -1) ||| A ^^^ B = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L205-L208","name":"bitvec_AndOrXor_2118___A__B__A___A__B","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2118___A__B__A___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ -1 = A ^^^ -1 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L200-L203","name":"bitvec_AndOrXor_2113___A__B__A___A__B","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2113___A__B__A___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ -1) &&& B ||| A = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L195-L198","name":"bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":195,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ^^^ C1 ||| C = (x ||| C) ^^^ C1 &&& ~~~C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L190-L193","name":"bitvec_AndOrXor_1733","line":190,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1733","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1733\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L185-L188","name":"bitvec_AndOrXor_1705","line":185,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1705","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1705\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L180-L183","name":"bitvec_AndOrXor_1704","line":180,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1704","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1704\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L175-L178","name":"bitvec_AndOrXor_1683_2","line":175,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1683_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.uge a b)) ||| Bitvec.ofBool (a != b) = Bitvec.ofBool true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L170-L173","name":"bitvec_AndOrXor_1683_1","line":170,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1683_1\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L165-L168","name":"bitvec_AndOrXor_1294_A__B__A__B___A__B","line":165,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1294_A__B__A__B___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) &&& (A ^^^ -1 ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L160-L163","name":"bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","line":160,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1288_A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ B) &&& (B ^^^ C ^^^ A) = (A ^^^ B) &&& (C ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L155-L158","name":"bitvec_AndOrXor_1280_ABA___AB","line":155,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1280_ABA___AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1280_ABA___AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ -1 ||| B) &&& A = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L150-L153","name":"bitvec_AndOrXor_1253_A__AB___A__B","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1253_A__AB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1253_A__AB___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ B) &&& A = A &&& (B ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L145-L148","name":"bitvec_AndOrXor_1247_AB__AB__AB","line":145,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1247_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1247_AB__AB__AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A &&& B ^^^ -1) &&& (A ||| B) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L140-L143","name":"bitvec_AndOrXor_1241_AB__AB__AB","line":140,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1241_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1241_AB__AB__AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) &&& (A &&& B ^^^ -1) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L135-L138","name":"bitvec_AndOrXor_1230__A__B___A__B","line":135,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1230__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1230__A__B___A__B\n(w : ℕ)\n\n(notOp0 : Bitvec w)\n\n(notOp1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (notOp0 ^^^ -1) &&& (notOp1 ^^^ -1) = (notOp0 ||| notOp1) ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L130-L133","name":"bitvec_AndOrXor_887_2","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_887_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_887_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(C1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L125-L128","name":"bitvec_AndOrXor_827","line":125,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_827","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_827\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L120-L123","name":"bitvec_AndOrXor_794","line":120,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_794","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_794\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L115-L118","name":"bitvec_AndOrXor_716","line":115,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_716","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_716\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L110-L113","name":"bitvec_AndOrXor_709","line":110,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_709","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_709\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L105-L108","name":"bitvec_AndOrXor_698","line":105,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_698","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_698\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L100-L103","name":"bitvec_AndOrXor_144","line":100,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_144","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_144\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ||| C1) &&& C2 = (X ||| C1 &&& C2) &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L95-L98","name":"bitvec_AndOrXor_135","line":95,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_135","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_135\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ^^^ C1) &&& C2 = X &&& C2 ^^^ C1 &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L90-L93","name":"bitvec_AddSub_1624","line":90,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1624","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1624\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) - (A ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L85-L88","name":"bitvec_AddSub_1619","line":85,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1619","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1619\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X - Y - X = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L80-L83","name":"bitvec_AddSub_1614","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1614","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1614\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X - (X + Y) = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L75-L78","name":"bitvec_AddSub_1574","line":75,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1574","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1574\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - (X + C2) = C - C2 - X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L70-L73","name":"bitvec_AddSub_1564","line":70,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1564","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1564\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - (x ^^^ -1) = x + (C + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L65-L68","name":"bitvec_AddSub_1560","line":65,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1560","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1560\n(w : ℕ)\n\n(a : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    -1 - a = a ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L60-L63","name":"bitvec_AddSub_1556","line":60,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1556","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1556\n(y : Bitvec 1)\n\n(x : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L55-L58","name":"bitvec_AddSub_1539_2","line":55,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1539_2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - C = x + -C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L50-L53","name":"bitvec_AddSub_1539","line":50,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1539\n(w : ℕ)\n\n(a : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - (0 - a) = x + a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L45-L48","name":"bitvec_AddSub_1309","line":45,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1309","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1309\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a &&& b) + (a ||| b) = a + b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L40-L43","name":"bitvec_AddSub_1295","line":40,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1295","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1295\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a &&& b) + (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L35-L38","name":"bitvec_AddSub_1202","line":35,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1202","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1202\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (x ^^^ -1) + C = C - 1 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L30-L33","name":"bitvec_AddSub_1176","line":30,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1176","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1176\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a + (0 - b) = a - b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L25-L28","name":"bitvec_AddSub_1165","line":25,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1165","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1165\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 - a + (0 - b) = 0 - (a + b)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L20-L23","name":"bitvec_AddSub_1164","line":20,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1164","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1164\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 - a + b = b - a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L15-L18","name":"bitvec_AddSub_1156","line":15,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1156","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1156\n(w : ℕ)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    b + b = b <<< 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L10-L13","name":"bitvec_AddSub_1152","line":10,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1152\n(y : Bitvec 1)\n\n(x : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x + y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/AliveStatements.lean#L5-L8","name":"bitvec_AddSub_1043","line":5,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1043","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1043\n(w : ℕ)\n\n(C1 : Bitvec w)\n\n(Z : Bitvec w)\n\n(RHS : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Z &&& C1 ^^^ C1) + 1 + RHS = RHS - (Z ||| ~~~C1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.AliveStatements","instances":[],"imports":["Init","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L526-L529","name":"bitvec_InstCombineShift__724","line":526,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__724","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__724\n(A : Bitvec 31)\n\n(C2 : Bitvec 31)\n\n(C1 : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C1 <<< A <<< C2 = C1 <<< C2 <<< A
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L521-L524","name":"bitvec_InstCombineShift__582","line":521,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__582","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__582\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L516-L519","name":"bitvec_InstCombineShift__497'''","line":516,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497'''","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__497'''\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X + C2) <<< C = X <<< C + C2 <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L511-L514","name":"bitvec_InstCombineShift__497","line":511,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__497\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ^^^ C2) >>> C = X >>> C ^^^ C2 >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L506-L509","name":"bitvec_InstCombineShift__476","line":506,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__476","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__476\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X >>> C &&& C2 ||| Y) <<< C = X &&& C2 <<< C ||| Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L501-L504","name":"bitvec_InstCombineShift__458","line":501,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__458","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__458\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L496-L499","name":"bitvec_InstCombineShift__440","line":496,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__440","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__440\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y ^^^ X >>> C &&& C2) <<< C = X &&& C2 <<< C ^^^ Y <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L491-L494","name":"bitvec_InstCombineShift__422_2","line":491,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__422_2\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L486-L489","name":"bitvec_InstCombineShift__422_1","line":486,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__422_1\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Y + X >>> C) <<< C = Y <<< C + X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L481-L484","name":"bitvec_InstCombineShift__351","line":481,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__351","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__351\n(X : Bitvec 7)\n\n(C1 : Bitvec 7)\n\n(C2 : Bitvec 7)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X * C1) <<< C2 = X * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L476-L479","name":"bitvec_InstCombineShift__279","line":476,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__279","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__279\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X >>> C <<< C = X &&& (-1) <<< C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L471-L474","name":"bitvec_InstCombineShift__239","line":471,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_InstCombineShift__239\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X <<< C >>> C = X &&& (-1) >>> C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L466-L469","name":"bitvec_Select_1105","line":466,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1105","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_1105\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select (Bitvec.ofBool false) X Y = Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L461-L464","name":"bitvec_Select_1100","line":461,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1100","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_1100\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select (Bitvec.ofBool true) X Y = X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L456-L459","name":"bitvec_Select_852","line":456,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_852","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_852\n(a : Bitvec 1)\n\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select a a b = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L451-L454","name":"bitvec_Select_851","line":451,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_851","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_851\n(a : Bitvec 1)\n\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select a b a = a &&& b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L446-L449","name":"bitvec_Select_859","line":446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_859","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_859\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B C (Bitvec.ofBool true) = B ^^^ Bitvec.ofBool true ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L441-L444","name":"bitvec_Select_855","line":441,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_855","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_855\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B C (Bitvec.ofBool false) = B &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L436-L439","name":"bitvec_Select_850","line":436,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_850","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_850\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B (Bitvec.ofBool false) C = (B ^^^ Bitvec.ofBool true) &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L431-L434","name":"bitvec_Select_846","line":431,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_846","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_Select_846\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.select B (Bitvec.ofBool true) C = B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L426-L429","name":"bitvec_1030","line":426,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_1030","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_1030\n(w : ℕ)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? X (-1) ⊑ some (0 - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L421-L424","name":"bitvec_891","line":421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_891","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_891\n(x : Bitvec 13)\n\n(N : Bitvec 13)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L415-L419","name":"bitvec_820'","line":415,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820'","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_820'\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L409-L413","name":"bitvec_820","line":409,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_820\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L404-L407","name":"bitvec_290__292","line":404,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_290__292","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_290__292\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(Op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1 <<< Y * Op1 = Op1 <<< Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L399-L402","name":"bitvec_283","line":399,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_283","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_283\n(Y : Bitvec 1)\n\n(X : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X * Y = X &&& Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L393-L397","name":"bitvec_276_2","line":393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_276_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L387-L391","name":"bitvec_276","line":387,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_276\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L381-L385","name":"bitvec_275_2","line":381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_275_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L375-L379","name":"bitvec_275","line":375,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_275\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L370-L373","name":"bitvec_239","line":370,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_239","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_239\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (0 - X) * (0 - Y) = X * Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L365-L368","name":"bitvec_229","line":365,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_229","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_229\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(Op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X + C1) * Op1 = X * Op1 + C1 * Op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L360-L363","name":"bitvec_160","line":360,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_160","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_160\n(x : Bitvec 7)\n\n(C1 : Bitvec 7)\n\n(C2 : Bitvec 7)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x <<< C2 * C1 = x * C1 <<< C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L355-L358","name":"bitvec_152","line":355,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_152\n(w : ℕ)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x * -1 = 0 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L350-L353","name":"bitvec_AndOrXor_2663","line":350,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2663","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2663\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L345-L348","name":"bitvec_AndOrXor_2658","line":345,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2658","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2658\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& (b ^^^ -1) ^^^ (a ^^^ -1) = a &&& b ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L340-L343","name":"bitvec_AndOrXor_2647","line":340,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2647","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2647\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& b ^^^ (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L335-L338","name":"bitvec_AndOrXor_2627","line":335,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2627","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2627\n(w : ℕ)\n\n(a : Bitvec w)\n\n(c : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ^^^ c ^^^ (a ||| b) = (a ^^^ -1) &&& b ^^^ c
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L330-L333","name":"bitvec_AndOrXor_2617","line":330,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2617","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2617\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& (b ^^^ -1) ^^^ (a ^^^ -1) &&& b = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L325-L328","name":"bitvec_AndOrXor_2607","line":325,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2607","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2607\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a ||| b ^^^ -1) ^^^ (a ^^^ -1 ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L320-L323","name":"bitvec_AndOrXor_2595","line":320,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2595","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2595\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& b ^^^ (a ||| b) = a ^^^ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L315-L318","name":"bitvec_AndOrXor_2587__BAA___B__A","line":315,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2587__BAA___B__A","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2587__BAA___B__A\n(w : ℕ)\n\n(a : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a &&& op1 ^^^ op1 = (a ^^^ -1) &&& op1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L310-L313","name":"bitvec_AndOrXor_2581__BAB___A__B","line":310,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2581__BAB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2581__BAB___A__B\n(w : ℕ)\n\n(a : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a ||| op1) ^^^ op1 = a &&& (op1 ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L305-L308","name":"bitvec_AndOrXor_2486","line":305,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2486","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2486\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x + C ^^^ -1 = -1 - C - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L300-L303","name":"bitvec_AndOrXor_2475","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2475","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2475\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - x ^^^ -1 = x + (-1 - C)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L295-L298","name":"bitvec_AndOrXor_2453","line":295,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2453","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2453\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.sle x y)) ^^^ -1 = Bitvec.ofBool (decide (Bitvec.sge x y))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L290-L293","name":"bitvec_AndOrXor_2443","line":290,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2443","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2443\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sshr (x ^^^ -1) (Bitvec.toNat y) ^^^ -1 = Bitvec.sshr x (Bitvec.toNat y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L285-L288","name":"bitvec_AndOrXor_2430","line":285,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2430","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2430\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (x ||| y) ^^^ -1 = (x ^^^ -1) &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L280-L283","name":"bitvec_AndOrXor_2429","line":280,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2429","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2429\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x &&& y ^^^ -1 = x ^^^ -1 ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L275-L278","name":"bitvec_AndOrXor_2417","line":275,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2417","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2417\n(w : ℕ)\n\n(nx : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (nx ^^^ -1 ||| y) ^^^ -1 = nx &&& (y ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L270-L273","name":"bitvec_AndOrXor_2416","line":270,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2416","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2416\n(w : ℕ)\n\n(nx : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (nx ^^^ -1) &&& y ^^^ -1 = nx ||| y ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L265-L268","name":"bitvec_AndOrXor_2367","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2367","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2367\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C1 : Bitvec w)\n\n(op1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| C1 ||| op1 = A ||| op1 ||| C1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L260-L263","name":"bitvec_AndOrXor_2297","line":260,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2297","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2297\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ -1 ^^^ B = A ^^^ -1 ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L255-L258","name":"bitvec_AndOrXor_2285","line":255,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2285","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2285\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| A ^^^ B ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L250-L253","name":"bitvec_AndOrXor_2284","line":250,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2284","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2284\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| (A ||| B) ^^^ -1 = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L245-L248","name":"bitvec_AndOrXor_2265","line":245,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2265","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2265\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ B = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L240-L243","name":"bitvec_AndOrXor_2264","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2264","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2264\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ||| A ^^^ -1 ^^^ B = A ||| B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L235-L238","name":"bitvec_AndOrXor_2263","line":235,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2263","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2263\n(w : ℕ)\n\n(B : Bitvec w)\n\n(op0 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    op0 ||| op0 ^^^ B = op0 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L230-L233","name":"bitvec_AndOrXor_2247__A__B__A__B","line":230,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2247__A__B__A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2247__A__B__A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ^^^ -1 ||| B ^^^ -1 = A &&& B ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L225-L228","name":"bitvec_AndOrXor_2243__B__C__A__B___B__A__C","line":225,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2243__B__C__A__B___B__A__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (B ||| C) &&& A ||| B = B ||| A &&& C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L220-L223","name":"bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","line":220,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2231__A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A ^^^ B ||| B ^^^ C ^^^ A = A ^^^ B ||| C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L215-L218","name":"bitvec_AndOrXor_2188","line":215,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2188","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2188\n(w : ℕ)\n\n(A : Bitvec w)\n\n(D : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& (D ^^^ -1) ||| (A ^^^ -1) &&& D = A ^^^ D
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L210-L213","name":"bitvec_AndOrXor_2123___A__B__A__B___A__B","line":210,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2123___A__B__A__B___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& (B ^^^ -1) ||| A ^^^ B = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L205-L208","name":"bitvec_AndOrXor_2118___A__B__A___A__B","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2118___A__B__A___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A &&& B ||| A ^^^ -1 = A ^^^ -1 ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L200-L203","name":"bitvec_AndOrXor_2113___A__B__A___A__B","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2113___A__B__A___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ -1) &&& B ||| A = A ||| B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L195-L198","name":"bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":195,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ^^^ C1 ||| C = (x ||| C) ^^^ C1 &&& ~~~C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L190-L193","name":"bitvec_AndOrXor_1733","line":190,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1733","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1733\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L185-L188","name":"bitvec_AndOrXor_1705","line":185,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1705","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1705\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L180-L183","name":"bitvec_AndOrXor_1704","line":180,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1704","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1704\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L175-L178","name":"bitvec_AndOrXor_1683_2","line":175,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1683_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.uge a b)) ||| Bitvec.ofBool (a != b) = Bitvec.ofBool true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L170-L173","name":"bitvec_AndOrXor_1683_1","line":170,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1683_1\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L165-L168","name":"bitvec_AndOrXor_1294_A__B__A__B___A__B","line":165,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1294_A__B__A__B___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) &&& (A ^^^ -1 ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L160-L163","name":"bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","line":160,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1288_A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ B) &&& (B ^^^ C ^^^ A) = (A ^^^ B) &&& (C ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L155-L158","name":"bitvec_AndOrXor_1280_ABA___AB","line":155,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1280_ABA___AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1280_ABA___AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ -1 ||| B) &&& A = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L150-L153","name":"bitvec_AndOrXor_1253_A__AB___A__B","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1253_A__AB___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1253_A__AB___A__B\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ^^^ B) &&& A = A &&& (B ^^^ -1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L145-L148","name":"bitvec_AndOrXor_1247_AB__AB__AB","line":145,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1247_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1247_AB__AB__AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A &&& B ^^^ -1) &&& (A ||| B) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L140-L143","name":"bitvec_AndOrXor_1241_AB__AB__AB","line":140,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1241_AB__AB__AB","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1241_AB__AB__AB\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) &&& (A &&& B ^^^ -1) = A ^^^ B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L135-L138","name":"bitvec_AndOrXor_1230__A__B___A__B","line":135,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1230__A__B___A__B","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_1230__A__B___A__B\n(w : ℕ)\n\n(notOp0 : Bitvec w)\n\n(notOp1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (notOp0 ^^^ -1) &&& (notOp1 ^^^ -1) = (notOp0 ||| notOp1) ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L130-L133","name":"bitvec_AndOrXor_887_2","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_887_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_887_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(C1 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L125-L128","name":"bitvec_AndOrXor_827","line":125,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_827","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_827\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L120-L123","name":"bitvec_AndOrXor_794","line":120,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_794","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_794\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L115-L118","name":"bitvec_AndOrXor_716","line":115,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_716","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_716\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L110-L113","name":"bitvec_AndOrXor_709","line":110,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_709","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_709\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L105-L108","name":"bitvec_AndOrXor_698","line":105,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_698","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_698\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L100-L103","name":"bitvec_AndOrXor_144","line":100,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_144","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_144\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ||| C1) &&& C2 = (X ||| C1 &&& C2) &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L95-L98","name":"bitvec_AndOrXor_135","line":95,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_135","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AndOrXor_135\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (X ^^^ C1) &&& C2 = X &&& C2 ^^^ C1 &&& C2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L90-L93","name":"bitvec_AddSub_1624","line":90,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1624","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1624\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (A ||| B) - (A ^^^ B) = A &&& B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L85-L88","name":"bitvec_AddSub_1619","line":85,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1619","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1619\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X - Y - X = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L80-L83","name":"bitvec_AddSub_1614","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1614","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1614\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    X - (X + Y) = 0 - Y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L75-L78","name":"bitvec_AddSub_1574","line":75,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1574","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1574\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - (X + C2) = C - C2 - X
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L70-L73","name":"bitvec_AddSub_1564","line":70,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1564","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1564\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    C - (x ^^^ -1) = x + (C + 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L65-L68","name":"bitvec_AddSub_1560","line":65,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1560","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1560\n(w : ℕ)\n\n(a : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    -1 - a = a ^^^ -1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L60-L63","name":"bitvec_AddSub_1556","line":60,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1556","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1556\n(y : Bitvec 1)\n\n(x : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L55-L58","name":"bitvec_AddSub_1539_2","line":55,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1539_2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - C = x + -C
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L50-L53","name":"bitvec_AddSub_1539","line":50,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1539\n(w : ℕ)\n\n(a : Bitvec w)\n\n(x : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x - (0 - a) = x + a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L45-L48","name":"bitvec_AddSub_1309","line":45,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1309","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1309\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a &&& b) + (a ||| b) = a + b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L40-L43","name":"bitvec_AddSub_1295","line":40,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1295","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1295\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (a &&& b) + (a ^^^ b) = a ||| b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L35-L38","name":"bitvec_AddSub_1202","line":35,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1202","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1202\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (x ^^^ -1) + C = C - 1 - x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L30-L33","name":"bitvec_AddSub_1176","line":30,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1176","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1176\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a + (0 - b) = a - b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L25-L28","name":"bitvec_AddSub_1165","line":25,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1165","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1165\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 - a + (0 - b) = 0 - (a + b)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L20-L23","name":"bitvec_AddSub_1164","line":20,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1164","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1164\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 - a + b = b - a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L15-L18","name":"bitvec_AddSub_1156","line":15,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1156","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1156\n(w : ℕ)\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    b + b = b <<< 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L10-L13","name":"bitvec_AddSub_1152","line":10,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1152","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1152\n(y : Bitvec 1)\n\n(x : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x + y = x ^^^ y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/AliveStatements.lean#L5-L8","name":"bitvec_AddSub_1043","line":5,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1043","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nbitvec_AddSub_1043\n(w : ℕ)\n\n(C1 : Bitvec w)\n\n(Z : Bitvec w)\n\n(RHS : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (Z &&& C1 ^^^ C1) + 1 + RHS = RHS - (Z ||| ~~~C1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp index be310229c..944fbcdc0 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.Base","instances":[{"typeNames":["Eq","InstCombine.BaseType"],"name":"InstCombine.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instReprBaseType","className":"Repr"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instGoedelBaseType","className":"Goedel"},{"typeNames":["Bitvec"],"name":"InstCombine.instReprBitvec","className":"Repr"},{"typeNames":["InstCombine.Comparison"],"name":"InstCombine.instReprComparison","className":"Repr"},{"typeNames":["Eq","InstCombine.Comparison"],"name":"InstCombine.instDecidableEqComparison","className":"Decidable"},{"typeNames":["InstCombine.Op"],"name":"InstCombine.instReprOp","className":"Repr"},{"typeNames":["Eq","InstCombine.Op"],"name":"InstCombine.instDecidableEqOp","className":"Decidable"},{"typeNames":["InstCombine.Op","InstCombine.BaseType","InstCombine.instGoedelBaseType"],"name":"InstCombine.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L175-L175","name":"InstCombine.dsl_opIcmp_sle_","line":175,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sle_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sle_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L174-L174","name":"InstCombine.dsl_opIcmp_slt_","line":174,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_slt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_slt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L173-L173","name":"InstCombine.dsl_opIcmp_sge_","line":173,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sge_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L172-L172","name":"InstCombine.dsl_opIcmp_sgt_","line":172,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sgt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sgt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L171-L171","name":"InstCombine.dsl_opIcmp_ule_","line":171,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ule_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ule_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L170-L170","name":"InstCombine.dsl_opIcmp_ult_","line":170,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ult_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ult_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L169-L169","name":"InstCombine.dsl_opIcmp_uge_","line":169,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_uge_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_uge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L168-L168","name":"InstCombine.dsl_opIcmp_ugt_","line":168,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ugt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ugt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L167-L167","name":"InstCombine.dsl_opIcmp_ne_","line":167,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ne_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ne_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L166-L166","name":"InstCombine.dsl_opIcmp_eq_","line":166,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_eq_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_eq_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L165-L165","name":"InstCombine.dsl_opSelect_","line":165,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSelect_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSelect_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L164-L164","name":"InstCombine.dsl_opSrem_","line":164,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSrem_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L163-L163","name":"InstCombine.dsl_opUrem_","line":163,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opUrem_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opUrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L162-L162","name":"InstCombine.dsl_opUdiv_","line":162,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opUdiv_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opUdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L161-L161","name":"InstCombine.dsl_opSdiv_","line":161,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSdiv_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L160-L160","name":"InstCombine.dsl_opMul_","line":160,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opMul_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opMul_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L159-L159","name":"InstCombine.dsl_opCopy_","line":159,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opCopy_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opCopy_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L158-L158","name":"InstCombine.dsl_opNeg_","line":158,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opNeg_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opNeg_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L157-L157","name":"InstCombine.dsl_opXor_","line":157,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opXor_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opXor_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L156-L156","name":"InstCombine.dsl_opSub_","line":156,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSub_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSub_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L155-L155","name":"InstCombine.dsl_opShl_","line":155,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opShl_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opShl_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L154-L154","name":"InstCombine.dsl_opOr_","line":154,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opOr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opOr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L153-L153","name":"InstCombine.dsl_opNot_","line":153,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opNot_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opNot_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L152-L152","name":"InstCombine.dsl_opAshr_","line":152,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAshr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L151-L151","name":"InstCombine.dsl_opLshr_","line":151,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opLshr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opLshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L150-L150","name":"InstCombine.dsl_opConst_","line":150,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opConst_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opConst_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L149-L149","name":"InstCombine.dsl_opAnd_","line":149,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAnd_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAnd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L148-L148","name":"InstCombine.dsl_opAdd_","line":148,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAdd_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAdd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L140-L145","name":"InstCombine.TUS","line":140,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.TUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics InstCombine.Op InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L105-L138","name":"InstCombine.eval","line":105,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.eval\n(o : InstCombine.Op)\n\n(arg : ⟦InstCombine.argUserType o⟧)\n\n(_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦InstCombine.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L101-L101","name":"InstCombine.rgnCod","line":101,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L99-L99","name":"InstCombine.rgnDom","line":99,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L89-L96","name":"InstCombine.outUserType","line":89,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L79-L86","name":"InstCombine.argUserType","line":79,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instDecidableEqOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqOp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instReprOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprOp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L75-L75","name":"InstCombine.Op.const","line":75,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.const","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.const\n{w : ℕ}\n\n(val : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L74-L74","name":"InstCombine.Op.icmp","line":74,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.icmp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.icmp\n(c : InstCombine.Comparison)\n\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L73-L73","name":"InstCombine.Op.udiv","line":73,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.udiv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.udiv\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L72-L72","name":"InstCombine.Op.sdiv","line":72,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sdiv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.sdiv\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L71-L71","name":"InstCombine.Op.copy","line":71,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.copy","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.copy\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L70-L70","name":"InstCombine.Op.neg","line":70,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.neg","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.neg\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L69-L69","name":"InstCombine.Op.sub","line":69,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.sub\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L68-L68","name":"InstCombine.Op.mul","line":68,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.mul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.mul\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L67-L67","name":"InstCombine.Op.add","line":67,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.add\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L66-L66","name":"InstCombine.Op.select","line":66,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.select","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.select\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L65-L65","name":"InstCombine.Op.srem","line":65,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.srem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.srem\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L64-L64","name":"InstCombine.Op.urem","line":64,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.urem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.urem\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L63-L63","name":"InstCombine.Op.ashr","line":63,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.ashr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.ashr\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L62-L62","name":"InstCombine.Op.lshr","line":62,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.lshr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.lshr\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L61-L61","name":"InstCombine.Op.shl","line":61,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.shl\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L60-L60","name":"InstCombine.Op.xor","line":60,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.xor","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.xor\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L59-L59","name":"InstCombine.Op.not","line":59,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.not","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.not\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L58-L58","name":"InstCombine.Op.or","line":58,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.or","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.or\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L57-L57","name":"InstCombine.Op.and","line":57,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.and","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.and\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L56-L76","name":"InstCombine.Op","line":56,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instDecidableEqComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqComparison","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqComparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instReprComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprComparison","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprComparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L52-L52","name":"InstCombine.Comparison.sle","line":52,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sle :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L51-L51","name":"InstCombine.Comparison.slt","line":51,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.slt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.slt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L50-L50","name":"InstCombine.Comparison.sge","line":50,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sge :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L49-L49","name":"InstCombine.Comparison.sgt","line":49,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sgt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L48-L48","name":"InstCombine.Comparison.ule","line":48,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ule","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ule :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L47-L47","name":"InstCombine.Comparison.ult","line":47,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ult","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ult :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L46-L46","name":"InstCombine.Comparison.uge","line":46,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.uge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.uge :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L45-L45","name":"InstCombine.Comparison.ugt","line":45,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ugt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ugt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L44-L44","name":"InstCombine.Comparison.ne","line":44,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ne","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ne :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L43-L43","name":"InstCombine.Comparison.eq","line":43,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.eq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.eq :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L42-L53","name":"InstCombine.Comparison","line":42,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison","doc":"eq: yields true if the operands are equal, false otherwise. No sign interpretation is necessary or performed.\nne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.Comparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L28-L28","name":"InstCombine.UserType","line":28,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nInstCombine.UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L24-L26","name":"InstCombine.instReprBitvec","line":24,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L20-L22","name":"InstCombine.instGoedelBaseType","line":20,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.Bitvec.width\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L15-L15","name":"InstCombine.instInhabitedBaseType","line":15,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instInhabitedBaseType\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L11-L13","name":"InstCombine.instReprBaseType","line":11,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L9-L9","name":"InstCombine.instDecidableEqBaseType","line":9,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.BaseType.bitvec\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.Base","instances":[{"typeNames":["Eq","InstCombine.BaseType"],"name":"InstCombine.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instReprBaseType","className":"Repr"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instGoedelBaseType","className":"Goedel"},{"typeNames":["Bitvec"],"name":"InstCombine.instReprBitvec","className":"Repr"},{"typeNames":["InstCombine.Comparison"],"name":"InstCombine.instReprComparison","className":"Repr"},{"typeNames":["Eq","InstCombine.Comparison"],"name":"InstCombine.instDecidableEqComparison","className":"Decidable"},{"typeNames":["InstCombine.Op"],"name":"InstCombine.instReprOp","className":"Repr"},{"typeNames":["Eq","InstCombine.Op"],"name":"InstCombine.instDecidableEqOp","className":"Decidable"},{"typeNames":["InstCombine.Op","InstCombine.BaseType","InstCombine.instGoedelBaseType"],"name":"InstCombine.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L175-L175","name":"InstCombine.dsl_opIcmp_sle_","line":175,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sle_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sle_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L174-L174","name":"InstCombine.dsl_opIcmp_slt_","line":174,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_slt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_slt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L173-L173","name":"InstCombine.dsl_opIcmp_sge_","line":173,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sge_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L172-L172","name":"InstCombine.dsl_opIcmp_sgt_","line":172,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sgt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_sgt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L171-L171","name":"InstCombine.dsl_opIcmp_ule_","line":171,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ule_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ule_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L170-L170","name":"InstCombine.dsl_opIcmp_ult_","line":170,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ult_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ult_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L169-L169","name":"InstCombine.dsl_opIcmp_uge_","line":169,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_uge_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_uge_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L168-L168","name":"InstCombine.dsl_opIcmp_ugt_","line":168,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ugt_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ugt_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L167-L167","name":"InstCombine.dsl_opIcmp_ne_","line":167,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ne_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_ne_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L166-L166","name":"InstCombine.dsl_opIcmp_eq_","line":166,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_eq_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opIcmp_eq_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L165-L165","name":"InstCombine.dsl_opSelect_","line":165,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSelect_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSelect_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L164-L164","name":"InstCombine.dsl_opSrem_","line":164,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSrem_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L163-L163","name":"InstCombine.dsl_opUrem_","line":163,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opUrem_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opUrem_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L162-L162","name":"InstCombine.dsl_opUdiv_","line":162,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opUdiv_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opUdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L161-L161","name":"InstCombine.dsl_opSdiv_","line":161,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSdiv_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSdiv_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L160-L160","name":"InstCombine.dsl_opMul_","line":160,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opMul_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opMul_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L159-L159","name":"InstCombine.dsl_opCopy_","line":159,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opCopy_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opCopy_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L158-L158","name":"InstCombine.dsl_opNeg_","line":158,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opNeg_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opNeg_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L157-L157","name":"InstCombine.dsl_opXor_","line":157,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opXor_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opXor_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L156-L156","name":"InstCombine.dsl_opSub_","line":156,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSub_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opSub_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L155-L155","name":"InstCombine.dsl_opShl_","line":155,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opShl_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opShl_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L154-L154","name":"InstCombine.dsl_opOr_","line":154,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opOr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opOr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L153-L153","name":"InstCombine.dsl_opNot_","line":153,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opNot_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opNot_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L152-L152","name":"InstCombine.dsl_opAshr_","line":152,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAshr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L151-L151","name":"InstCombine.dsl_opLshr_","line":151,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opLshr_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opLshr_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L150-L150","name":"InstCombine.dsl_opConst_","line":150,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opConst_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opConst_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L149-L149","name":"InstCombine.dsl_opAnd_","line":149,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAnd_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAnd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L148-L148","name":"InstCombine.dsl_opAdd_","line":148,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opAdd_","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.dsl_opAdd_ :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L140-L145","name":"InstCombine.TUS","line":140,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.TUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics InstCombine.Op InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L105-L138","name":"InstCombine.eval","line":105,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.eval\n(o : InstCombine.Op)\n\n(arg : ⟦InstCombine.argUserType o⟧)\n\n(_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦InstCombine.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L101-L101","name":"InstCombine.rgnCod","line":101,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L99-L99","name":"InstCombine.rgnDom","line":99,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L89-L96","name":"InstCombine.outUserType","line":89,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L79-L86","name":"InstCombine.argUserType","line":79,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op → InstCombine.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instDecidableEqOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqOp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instReprOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprOp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L75-L75","name":"InstCombine.Op.const","line":75,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.const","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.const\n{w : ℕ}\n\n(val : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L74-L74","name":"InstCombine.Op.icmp","line":74,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.icmp","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.icmp\n(c : InstCombine.Comparison)\n\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L73-L73","name":"InstCombine.Op.udiv","line":73,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.udiv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.udiv\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L72-L72","name":"InstCombine.Op.sdiv","line":72,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sdiv","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.sdiv\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L71-L71","name":"InstCombine.Op.copy","line":71,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.copy","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.copy\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L70-L70","name":"InstCombine.Op.neg","line":70,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.neg","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.neg\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L69-L69","name":"InstCombine.Op.sub","line":69,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.sub\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L68-L68","name":"InstCombine.Op.mul","line":68,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.mul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.mul\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L67-L67","name":"InstCombine.Op.add","line":67,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.add\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L66-L66","name":"InstCombine.Op.select","line":66,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.select","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.select\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L65-L65","name":"InstCombine.Op.srem","line":65,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.srem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.srem\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L64-L64","name":"InstCombine.Op.urem","line":64,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.urem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.urem\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L63-L63","name":"InstCombine.Op.ashr","line":63,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.ashr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.ashr\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L62-L62","name":"InstCombine.Op.lshr","line":62,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.lshr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.lshr\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L61-L61","name":"InstCombine.Op.shl","line":61,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.shl\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L60-L60","name":"InstCombine.Op.xor","line":60,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.xor","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.xor\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L59-L59","name":"InstCombine.Op.not","line":59,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.not","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.not\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L58-L58","name":"InstCombine.Op.or","line":58,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.or","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.or\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L57-L57","name":"InstCombine.Op.and","line":57,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.and","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Op.and\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L56-L76","name":"InstCombine.Op","line":56,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instDecidableEqComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqComparison","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqComparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instReprComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprComparison","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprComparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L52-L52","name":"InstCombine.Comparison.sle","line":52,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sle :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L51-L51","name":"InstCombine.Comparison.slt","line":51,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.slt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.slt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L50-L50","name":"InstCombine.Comparison.sge","line":50,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sge :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L49-L49","name":"InstCombine.Comparison.sgt","line":49,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.sgt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L48-L48","name":"InstCombine.Comparison.ule","line":48,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ule","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ule :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L47-L47","name":"InstCombine.Comparison.ult","line":47,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ult","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ult :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L46-L46","name":"InstCombine.Comparison.uge","line":46,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.uge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.uge :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L45-L45","name":"InstCombine.Comparison.ugt","line":45,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ugt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ugt :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L44-L44","name":"InstCombine.Comparison.ne","line":44,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ne","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.ne :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L43-L43","name":"InstCombine.Comparison.eq","line":43,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.eq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.Comparison.eq :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.Comparison
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L42-L53","name":"InstCombine.Comparison","line":42,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison","doc":"eq: yields true if the operands are equal, false otherwise. No sign interpretation is necessary or performed.\nne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.Comparison :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L28-L28","name":"InstCombine.UserType","line":28,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nInstCombine.UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L24-L26","name":"InstCombine.instReprBitvec","line":24,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L20-L22","name":"InstCombine.instGoedelBaseType","line":20,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInstCombine.Bitvec.width\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L15-L15","name":"InstCombine.instInhabitedBaseType","line":15,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instInhabitedBaseType\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L11-L13","name":"InstCombine.instReprBaseType","line":11,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instReprBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Repr InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L9-L9","name":"InstCombine.instDecidableEqBaseType","line":9,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nInstCombine.instDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nInstCombine.BaseType.bitvec\n(w : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    InstCombine.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nInstCombine.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp index 18fc673ad..a8f9f3118 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.ForMathlib","instances":[{"typeNames":["Vector","Fin","Vector","Fin","True"],"name":"Vector.instGetElemVectorFinTrue","className":"GetElem"},{"typeNames":["Bitvec","Fin","Bool","Bitvec","Fin","True"],"name":"Bitvec.instGetElemBitvecFinBoolTrue","className":"GetElem"},{"typeNames":["Bitvec"],"name":"Bitvec.instInhabitedBitvec","className":"Inhabited"},{"typeNames":["Bitvec.Fun","Bitvec"],"name":"Bitvec.instCoeFunBitvec","className":"Coe"},{"typeNames":["Bitvec","Bitvec.Fun"],"name":"Bitvec.instCoeBitvecFun","className":"Coe"},{"typeNames":["Nat","Bitvec"],"name":"Bitvec.instSMulNatBitvec","className":"SMul"},{"typeNames":["Nat","LinearOrderedCommMonoidWithZero.toZero","Nat","Nat.linearOrderedCommMonoidWithZero","HPow.hPow","Nat","instHPow","instPowNat","OfNat.ofNat","instOfNatNat"],"name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","className":"NeZero"},{"typeNames":["Int","Bitvec"],"name":"Bitvec.instSMulIntBitvec","className":"SMul"},{"typeNames":["Bitvec"],"name":"Bitvec.instAddCommGroupBitvec","className":"AddCommGroup"},{"typeNames":["Bitvec.Refinement"],"name":"Bitvec.Refinement.instDecidableRelOptionRefinement","className":"Decidable"},{"typeNames":["Eq","Bitvec"],"name":"Bitvec.instDecidableEqBitvec","className":"Decidable"},{"typeNames":["Bool","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","className":"Coe"},{"typeNames":["Bitvec","OfNat.ofNat","Nat","instOfNatNat","Bool"],"name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","className":"Coe"},{"typeNames":["_builtin_prop","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.decPropToBitvec1","className":"CoeDep"},{"typeNames":["Bitvec.ult"],"name":"Bitvec.instDecidableUlt","className":"Decidable"},{"typeNames":["Bitvec.ule"],"name":"Bitvec.instDecidableUle","className":"Decidable"},{"typeNames":["Bitvec.ugt"],"name":"Bitvec.instDecidableUgt","className":"Decidable"},{"typeNames":["Bitvec.uge"],"name":"Bitvec.instDecidableUge","className":"Decidable"},{"typeNames":["Bitvec.slt"],"name":"Bitvec.instDecidableSlt","className":"Decidable"},{"typeNames":["Bitvec.sle"],"name":"Bitvec.instDecidableSle","className":"Decidable"},{"typeNames":["Bitvec.sgt"],"name":"Bitvec.instDecidableSgt","className":"Decidable"},{"typeNames":["Bitvec.sge"],"name":"Bitvec.instDecidableSge","className":"Decidable"}],"imports":["Init","Mathlib.Data.Vector","Mathlib.Data.Bitvec.Defs","Mathlib.Data.Bitvec.Lemmas","Mathlib.Algebra.Group.InjSurj","Mathlib.Tactic.Ring","Mathlib.Data.Int.Cast.Lemmas","Mathlib.Data.ZMod.Basic","Mathlib.Order.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nₛ_»\">Bitvec.«term_>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≥ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_<ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≤ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nᵤ_»\">Bitvec.«term_>ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≥ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_<ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≤ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L595-L595","name":"Bitvec.instDecidableSge","line":595,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sge x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L594-L594","name":"Bitvec.instDecidableSgt","line":594,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sgt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L593-L593","name":"Bitvec.instDecidableSle","line":593,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sle x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L592-L592","name":"Bitvec.instDecidableSlt","line":592,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSlt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.slt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.slt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L585-L585","name":"Bitvec.instDecidableUge","line":585,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.uge x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L584-L584","name":"Bitvec.instDecidableUgt","line":584,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ugt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L583-L583","name":"Bitvec.instDecidableUle","line":583,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ule x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L582-L582","name":"Bitvec.instDecidableUlt","line":582,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUlt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ult x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.uge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ugt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ule\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ult\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n>>ₛ_»\">Bitvec.«term_>>>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L571-L572","name":"Bitvec.decPropToBitvec1","line":571,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.decPropToBitvec1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.decPropToBitvec1\n(p : Prop)\n\n[inst : Decidable p]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    CoeDep Prop p (Bitvec 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L569-L569","name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","line":569,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBitvecOfNatNatInstOfNatNatBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec 1) Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L566-L566","name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","line":566,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBoolBitvecOfNatNatInstOfNatNat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe Bool (Bitvec 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toBool_ofBool\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (Bitvec.toBool b) = b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L563-L563","name":"Bitvec.ofBool_toBool","line":563,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool_toBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofBool_toBool\n(b : Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toBool (Bitvec.ofBool b) = b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec 1 → Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L558-L558","name":"Bitvec.ofBool","line":558,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bool → Bitvec 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L556-L556","name":"Bitvec.beq","line":556,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.beq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.beq\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L551-L554","name":"Bitvec.one_sdiv_ref_add_cmp_select","line":551,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_ref_add_cmp_select","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.one_sdiv_ref_add_cmp_select\n{w : ℕ}\n\n{x : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? (Bitvec.ofInt w 1) x ⊑ some\n (Bitvec.select\n (Nat.blt (Bitvec.toNat (Bitvec.add x (Bitvec.ofNat w 1))) (Bitvec.toNat (Bitvec.ofNat w 3)) ::ᵥ Vector.nil) x\n (Bitvec.ofNat w 0))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L542-L549","name":"Bitvec.one_sdiv_eq_add_cmp_select_some","line":542,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_eq_add_cmp_select_some","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.one_sdiv_eq_add_cmp_select_some\n{w : ℕ}\n\n{x : Bitvec w}\n\n(hw : w > 1)\n\n(hx : x ≠ 0)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_one\n{w : ℕ}\n\n(_hw : 1 < w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_eq_zero\n{w : ℕ}\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt b = 0 ↔ b = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_zero\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_injective\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Function.Injective Bitvec.toInt
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L505-L505","name":"Bitvec.instDecidableEqBitvec","line":505,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableEqBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableEqBitvec\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_⊑_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L489-L499","name":"Bitvec.Refinement.instDecidableRelOptionRefinement","line":489,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.instDecidableRelOptionRefinement","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.Refinement.instDecidableRelOptionRefinement\n{α : Type u}\n\n[inst : DecidableEq α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableRel Bitvec.Refinement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L483-L487","name":"Bitvec.Refinement.Refinement.trans","line":483,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.trans","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.Refinement.trans\n{α : Type u}\n\n(x : Option α)\n\n(y : Option α)\n\n(z : Option α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ⊑ y → y ⊑ z → x ⊑ z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L478-L481","name":"Bitvec.Refinement.Refinement.refl","line":478,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.refl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.Refinement.refl\n{α : Type u}\n\n(x : Option α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ⊑ x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L472-L474","name":"Bitvec.Refinement.some_some","line":472,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.some_some","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.some_some\n{α : Type u}\n\n{x : α}\n\n{y : α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    some x ⊑ some y ↔ x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L470-L470","name":"Bitvec.Refinement.noneAny","line":470,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.noneAny","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBitvec.Refinement.noneAny\n{α : Type u}\n\n{x? : Option α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    none ⊑ x?
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L469-L469","name":"Bitvec.Refinement.bothSome","line":469,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.bothSome","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBitvec.Refinement.bothSome\n{α : Type u}\n\n{x : α}\n\n{y : α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x = y → some x ⊑ some y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L468-L470","name":"Bitvec.Refinement","line":468,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nBitvec.Refinement\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option α → Option α → Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.shl_ushr_eq_and_shl\n{w : ℕ}\n\n{x : Bitvec w}\n\n{C : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L445-L451","name":"Bitvec.get?_ofInt_neg_one","line":445,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ofInt_neg_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_ofInt_neg_one\n{w : ℕ}\n\n{i : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L439-L443","name":"Bitvec.match_does_not_fold_away","line":439,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.match_does_not_fold_away","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.match_does_not_fold_away\n{w : ℕ}\n\n{i : Fin (List.length (Vector.toList (Bitvec.ofInt w (-1))))}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get (Vector.toList (Bitvec.ofInt w (-1))) i = true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L432-L437","name":"Bitvec.get?_and","line":432,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_and","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_and\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n\n(i : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.and x y)) i = do\n let __do_lift ← List.get? (Vector.toList x) i\n let __do_lift_1 ← List.get? (Vector.toList y) i\n pure (__do_lift && __do_lift_1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L405-L430","name":"Bitvec.get?_ushr","line":405,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ushr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_ushr\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L385-L403","name":"Bitvec.get?_shl","line":385,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_shl\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_cong\n{w₁ : ℕ}\n\n{w₂ : ℕ}\n\n(h : w₁ = w₂)\n\n(b : Bitvec w₁)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList (Bitvec.cong h b) = Vector.toList b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L376-L379","name":"Bitvec.ext_get?","line":376,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ext_get?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ext_get?\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n\n(h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L372-L374","name":"Bitvec.bitwise_eq_eq","line":372,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.bitwise_eq_eq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.bitwise_eq_eq\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (∀ (i : Fin w), x[i] = y[i]) ↔ x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.select\n{w : ℕ}\n\n(c : Bitvec 1)\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec w
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.srem?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nInt.rem_sign_dividend\n(x : ℤ)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Int.rem x y < 0 ↔ x < 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInt.rem\n(x : ℤ)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℤ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L332-L335","name":"Bitvec.urem?","line":332,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.urem?","doc":"This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.urem?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sdiv?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.udiv?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L300-L300","name":"Bitvec.mul?_some_eq_mul","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?_some_eq_mul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.mul?_some_eq_mul\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.mul? x y = some z → x * y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L289-L294","name":"Bitvec.mul?","line":289,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.mul?\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.some_add?_eq_add\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.add? x y = some z → x + y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L279-L281","name":"Bitvec.add?","line":279,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.add?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.add?\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L273-L276","name":"Bitvec.instAddCommGroupBitvec","line":273,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instAddCommGroupBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instAddCommGroupBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    AddCommGroup (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_zsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.zsmul_def\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    y • x = zsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L263-L263","name":"Bitvec.instSMulIntBitvec","line":263,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulIntBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instSMulIntBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SMul ℤ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_neg\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (-x) = -Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_neg_aux\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_sub\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (x - y) = Bitvec.toZMod x - Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_sbb\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (Bitvec.sbb x y false).snd = Bitvec.toZMod x - Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L226-L226","name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","line":226,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    NeZero (2 ^ n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_sub_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_hx : List.length x = List.length y)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_nsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L197-L197","name":"Bitvec.nsmul_def","line":197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.nsmul_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.nsmul_def\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    y • x = nsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L195-L195","name":"Bitvec.instSMulNatBitvec","line":195,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulNatBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instSMulNatBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SMul ℕ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L192-L193","name":"Bitvec.ofZMod_one","line":192,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat 1 = if n = 0 then 0 else 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList 1 = List.replicate n false ++ [true]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L171-L172","name":"Bitvec.ofZMod_zero","line":171,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L163-L164","name":"Bitvec.ofNat_zero","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofNat_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofNat_zero\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofNat w 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList 0 = List.replicate n false
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.zero_def\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L150-L152","name":"Bitvec.ofZMod_add","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_add\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n\n(y : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (x + y) = Bitvec.toZMod x + Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_tail\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_adc\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (Bitvec.adc x y false) = Bitvec.toNat x + Bitvec.toNat y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_adc_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_h : List.length x = List.length y)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb\n (Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst)\n (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L98-L102","name":"Bitvec.foldl_addLsb_cons_zero","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_cons_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_cons_zero\n(a : Bool)\n\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L94-L96","name":"Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","line":94,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_eq_add_foldl_addLsb_zero\n(x : List Bool)\n\n(k : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb k x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb 0 x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L84-L92","name":"Bitvec.foldl_addLsb_add","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_add\n(n : ℕ)\n\n(k : ℕ)\n\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L80-L82","name":"Bitvec.ofZMod_toZMod","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_toZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_toZMod\n{n : ℕ}\n\n(v : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod (Bitvec.toZMod v) = v
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_ofZMod\n{n : ℕ}\n\n(i : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (Bitvec.ofZMod i) = i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L73-L74","name":"Bitvec.ofZMod","line":73,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofZMod\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_val\n{n : ℕ}\n\n(v : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ZMod.val (Bitvec.toZMod v) = Bitvec.toNat v
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toZMod\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ZMod (2 ^ n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟷» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟶» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟷_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟶_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L44-L44","name":"Bitvec.ofVector","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofVector","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofVector\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector Bool n → Bitvec n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L42-L42","name":"Bitvec.instCoeBitvecFun","line":42,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecFun","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBitvecFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec width) (Bitvec.Fun width)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L41-L41","name":"Bitvec.instCoeFunBitvec","line":41,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeFunBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeFunBitvec\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec.Fun width) (Bitvec width)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec width → Bitvec.Fun width
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L34-L35","name":"Bitvec.ofFun","line":34,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofFun","doc":"convert `Bitvec n` to `Fin n → Bool` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.Fun width → Bitvec width
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L31-L31","name":"Bitvec.Fun","line":31,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Fun","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.Fun\n(width : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L28-L29","name":"Bitvec.instInhabitedBitvec","line":28,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instInhabitedBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instInhabitedBitvec\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L25-L26","name":"Bitvec.instGetElemBitvecFinBoolTrue","line":25,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instGetElemBitvecFinBoolTrue","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instGetElemBitvecFinBoolTrue\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (Bitvec n) (Fin n) Bool fun x x => True
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.width\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L16-L16","name":"Vector.getElem_eq_get","line":16,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.getElem_eq_get","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVector.getElem_eq_get\n{α : Type u}\n\n{n : ℕ}\n\n(v : Vector α n)\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    v[i] = Vector.get v i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L12-L13","name":"Vector.instGetElemVectorFinTrue","line":12,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.instGetElemVectorFinTrue","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVector.instGetElemVectorFinTrue\n{α : Type u}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (Vector α n) (Fin n) α fun x x => True
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.ForMathlib","instances":[{"typeNames":["Vector","Fin","Vector","Fin","True"],"name":"Vector.instGetElemVectorFinTrue","className":"GetElem"},{"typeNames":["Bitvec","Fin","Bool","Bitvec","Fin","True"],"name":"Bitvec.instGetElemBitvecFinBoolTrue","className":"GetElem"},{"typeNames":["Bitvec"],"name":"Bitvec.instInhabitedBitvec","className":"Inhabited"},{"typeNames":["Bitvec.Fun","Bitvec"],"name":"Bitvec.instCoeFunBitvec","className":"Coe"},{"typeNames":["Bitvec","Bitvec.Fun"],"name":"Bitvec.instCoeBitvecFun","className":"Coe"},{"typeNames":["Nat","Bitvec"],"name":"Bitvec.instSMulNatBitvec","className":"SMul"},{"typeNames":["Nat","LinearOrderedCommMonoidWithZero.toZero","Nat","Nat.linearOrderedCommMonoidWithZero","HPow.hPow","Nat","instHPow","instPowNat","OfNat.ofNat","instOfNatNat"],"name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","className":"NeZero"},{"typeNames":["Int","Bitvec"],"name":"Bitvec.instSMulIntBitvec","className":"SMul"},{"typeNames":["Bitvec"],"name":"Bitvec.instAddCommGroupBitvec","className":"AddCommGroup"},{"typeNames":["Bitvec.Refinement"],"name":"Bitvec.Refinement.instDecidableRelOptionRefinement","className":"Decidable"},{"typeNames":["Eq","Bitvec"],"name":"Bitvec.instDecidableEqBitvec","className":"Decidable"},{"typeNames":["Bool","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","className":"Coe"},{"typeNames":["Bitvec","OfNat.ofNat","Nat","instOfNatNat","Bool"],"name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","className":"Coe"},{"typeNames":["_builtin_prop","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.decPropToBitvec1","className":"CoeDep"},{"typeNames":["Bitvec.ult"],"name":"Bitvec.instDecidableUlt","className":"Decidable"},{"typeNames":["Bitvec.ule"],"name":"Bitvec.instDecidableUle","className":"Decidable"},{"typeNames":["Bitvec.ugt"],"name":"Bitvec.instDecidableUgt","className":"Decidable"},{"typeNames":["Bitvec.uge"],"name":"Bitvec.instDecidableUge","className":"Decidable"},{"typeNames":["Bitvec.slt"],"name":"Bitvec.instDecidableSlt","className":"Decidable"},{"typeNames":["Bitvec.sle"],"name":"Bitvec.instDecidableSle","className":"Decidable"},{"typeNames":["Bitvec.sgt"],"name":"Bitvec.instDecidableSgt","className":"Decidable"},{"typeNames":["Bitvec.sge"],"name":"Bitvec.instDecidableSge","className":"Decidable"}],"imports":["Init","Mathlib.Data.Vector","Mathlib.Data.Bitvec.Defs","Mathlib.Data.Bitvec.Lemmas","Mathlib.Algebra.Group.InjSurj","Mathlib.Tactic.Ring","Mathlib.Data.Int.Cast.Lemmas","Mathlib.Data.ZMod.Basic","Mathlib.Order.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nₛ_»\">Bitvec.«term_>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≥ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_<ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≤ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nᵤ_»\">Bitvec.«term_>ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≥ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_<ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_≤ᵤ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L595-L595","name":"Bitvec.instDecidableSge","line":595,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sge x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L594-L594","name":"Bitvec.instDecidableSgt","line":594,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sgt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L593-L593","name":"Bitvec.instDecidableSle","line":593,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.sle x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L592-L592","name":"Bitvec.instDecidableSlt","line":592,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSlt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableSlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.slt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.slt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L585-L585","name":"Bitvec.instDecidableUge","line":585,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.uge x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L584-L584","name":"Bitvec.instDecidableUgt","line":584,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUgt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ugt x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L583-L583","name":"Bitvec.instDecidableUle","line":583,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUle","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ule x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L582-L582","name":"Bitvec.instDecidableUlt","line":582,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUlt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableUlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Decidable (Bitvec.ult x y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.uge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ugt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ule\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ult\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n>>ₛ_»\">Bitvec.«term_>>>ₛ_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L571-L572","name":"Bitvec.decPropToBitvec1","line":571,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.decPropToBitvec1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.decPropToBitvec1\n(p : Prop)\n\n[inst : Decidable p]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    CoeDep Prop p (Bitvec 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L569-L569","name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","line":569,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBitvecOfNatNatInstOfNatNatBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec 1) Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L566-L566","name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","line":566,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBoolBitvecOfNatNatInstOfNatNat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe Bool (Bitvec 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toBool_ofBool\n(b : Bitvec 1)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofBool (Bitvec.toBool b) = b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L563-L563","name":"Bitvec.ofBool_toBool","line":563,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool_toBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofBool_toBool\n(b : Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toBool (Bitvec.ofBool b) = b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec 1 → Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L558-L558","name":"Bitvec.ofBool","line":558,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofBool :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bool → Bitvec 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L556-L556","name":"Bitvec.beq","line":556,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.beq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.beq\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bool
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L551-L554","name":"Bitvec.one_sdiv_ref_add_cmp_select","line":551,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_ref_add_cmp_select","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.one_sdiv_ref_add_cmp_select\n{w : ℕ}\n\n{x : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? (Bitvec.ofInt w 1) x ⊑ some\n (Bitvec.select\n (Nat.blt (Bitvec.toNat (Bitvec.add x (Bitvec.ofNat w 1))) (Bitvec.toNat (Bitvec.ofNat w 3)) ::ᵥ Vector.nil) x\n (Bitvec.ofNat w 0))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L542-L549","name":"Bitvec.one_sdiv_eq_add_cmp_select_some","line":542,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_eq_add_cmp_select_some","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.one_sdiv_eq_add_cmp_select_some\n{w : ℕ}\n\n{x : Bitvec w}\n\n(hw : w > 1)\n\n(hx : x ≠ 0)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_one\n{w : ℕ}\n\n(_hw : 1 < w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_eq_zero\n{w : ℕ}\n\n(b : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt b = 0 ↔ b = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_zero\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toInt 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_injective\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Function.Injective Bitvec.toInt
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L505-L505","name":"Bitvec.instDecidableEqBitvec","line":505,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableEqBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instDecidableEqBitvec\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term_⊑_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.TrailingParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L489-L499","name":"Bitvec.Refinement.instDecidableRelOptionRefinement","line":489,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.instDecidableRelOptionRefinement","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.Refinement.instDecidableRelOptionRefinement\n{α : Type u}\n\n[inst : DecidableEq α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableRel Bitvec.Refinement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L483-L487","name":"Bitvec.Refinement.Refinement.trans","line":483,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.trans","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.Refinement.trans\n{α : Type u}\n\n(x : Option α)\n\n(y : Option α)\n\n(z : Option α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ⊑ y → y ⊑ z → x ⊑ z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L478-L481","name":"Bitvec.Refinement.Refinement.refl","line":478,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.refl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.Refinement.refl\n{α : Type u}\n\n(x : Option α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x ⊑ x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L472-L474","name":"Bitvec.Refinement.some_some","line":472,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.some_some","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.Refinement.some_some\n{α : Type u}\n\n{x : α}\n\n{y : α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    some x ⊑ some y ↔ x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L470-L470","name":"Bitvec.Refinement.noneAny","line":470,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.noneAny","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBitvec.Refinement.noneAny\n{α : Type u}\n\n{x? : Option α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    none ⊑ x?
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L469-L469","name":"Bitvec.Refinement.bothSome","line":469,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.bothSome","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBitvec.Refinement.bothSome\n{α : Type u}\n\n{x : α}\n\n{y : α}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x = y → some x ⊑ some y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L468-L470","name":"Bitvec.Refinement","line":468,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nBitvec.Refinement\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option α → Option α → Prop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.shl_ushr_eq_and_shl\n{w : ℕ}\n\n{x : Bitvec w}\n\n{C : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L445-L451","name":"Bitvec.get?_ofInt_neg_one","line":445,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ofInt_neg_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_ofInt_neg_one\n{w : ℕ}\n\n{i : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L439-L443","name":"Bitvec.match_does_not_fold_away","line":439,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.match_does_not_fold_away","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.match_does_not_fold_away\n{w : ℕ}\n\n{i : Fin (List.length (Vector.toList (Bitvec.ofInt w (-1))))}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get (Vector.toList (Bitvec.ofInt w (-1))) i = true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L432-L437","name":"Bitvec.get?_and","line":432,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_and","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_and\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n\n(i : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.and x y)) i = do\n let __do_lift ← List.get? (Vector.toList x) i\n let __do_lift_1 ← List.get? (Vector.toList y) i\n pure (__do_lift && __do_lift_1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L405-L430","name":"Bitvec.get?_ushr","line":405,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ushr","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_ushr\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L385-L403","name":"Bitvec.get?_shl","line":385,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_shl","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.get?_shl\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_cong\n{w₁ : ℕ}\n\n{w₂ : ℕ}\n\n(h : w₁ = w₂)\n\n(b : Bitvec w₁)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList (Bitvec.cong h b) = Vector.toList b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L376-L379","name":"Bitvec.ext_get?","line":376,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ext_get?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ext_get?\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n\n(h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L372-L374","name":"Bitvec.bitwise_eq_eq","line":372,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.bitwise_eq_eq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.bitwise_eq_eq\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (∀ (i : Fin w), x[i] = y[i]) ↔ x = y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.select\n{w : ℕ}\n\n(c : Bitvec 1)\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec w
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.srem?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nInt.rem_sign_dividend\n(x : ℤ)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Int.rem x y < 0 ↔ x < 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nInt.rem\n(x : ℤ)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℤ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L332-L335","name":"Bitvec.urem?","line":332,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.urem?","doc":"This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.urem?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.sdiv?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.udiv?\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec w)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L300-L300","name":"Bitvec.mul?_some_eq_mul","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?_some_eq_mul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.mul?_some_eq_mul\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.mul? x y = some z → x * y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L289-L294","name":"Bitvec.mul?","line":289,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.mul?\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.some_add?_eq_add\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.add? x y = some z → x + y = z
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L279-L281","name":"Bitvec.add?","line":279,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.add?","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.add?\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Option (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L273-L276","name":"Bitvec.instAddCommGroupBitvec","line":273,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instAddCommGroupBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instAddCommGroupBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    AddCommGroup (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_zsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.zsmul_def\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    y • x = zsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L263-L263","name":"Bitvec.instSMulIntBitvec","line":263,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulIntBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instSMulIntBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SMul ℤ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_neg\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (-x) = -Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_neg_aux\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_sub\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (x - y) = Bitvec.toZMod x - Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_sbb\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (Bitvec.sbb x y false).snd = Bitvec.toZMod x - Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L226-L226","name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","line":226,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    NeZero (2 ^ n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toInt_sub_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_hx : List.length x = List.length y)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_nsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L197-L197","name":"Bitvec.nsmul_def","line":197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.nsmul_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.nsmul_def\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    y • x = nsmulRec y x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L195-L195","name":"Bitvec.instSMulNatBitvec","line":195,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulNatBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instSMulNatBitvec\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SMul ℕ (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L192-L193","name":"Bitvec.ofZMod_one","line":192,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod 1 = 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat 1 = if n = 0 then 0 else 1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_one\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList 1 = List.replicate n false ++ [true]
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L171-L172","name":"Bitvec.ofZMod_zero","line":171,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L163-L164","name":"Bitvec.ofNat_zero","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofNat_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofNat_zero\n{w : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofNat w 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat 0 = 0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toList_zero\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector.toList 0 = List.replicate n false
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.zero_def\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L150-L152","name":"Bitvec.ofZMod_add","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_add\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n\n(y : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (x + y) = Bitvec.toZMod x + Bitvec.toZMod y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_tail\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_adc\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toNat (Bitvec.adc x y false) = Bitvec.toNat x + Bitvec.toNat y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toNat_adc_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_h : List.length x = List.length y)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb\n (Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst)\n (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L98-L102","name":"Bitvec.foldl_addLsb_cons_zero","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_cons_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_cons_zero\n(a : Bool)\n\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L94-L96","name":"Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","line":94,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_eq_add_foldl_addLsb_zero\n(x : List Bool)\n\n(k : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb k x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb 0 x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L84-L92","name":"Bitvec.foldl_addLsb_add","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.foldl_addLsb_add\n(n : ℕ)\n\n(k : ℕ)\n\n(x : List Bool)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L80-L82","name":"Bitvec.ofZMod_toZMod","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_toZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.ofZMod_toZMod\n{n : ℕ}\n\n(v : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.ofZMod (Bitvec.toZMod v) = v
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_ofZMod\n{n : ℕ}\n\n(i : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.toZMod (Bitvec.ofZMod i) = i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L73-L74","name":"Bitvec.ofZMod","line":73,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofZMod\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nBitvec.toZMod_val\n{n : ℕ}\n\n(v : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ZMod.val (Bitvec.toZMod v) = Bitvec.toNat v
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toZMod\n{n : ℕ}\n\n(x : Bitvec n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ZMod (2 ^ n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟷» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟶» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟷_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.«term𝟶_» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L44-L44","name":"Bitvec.ofVector","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofVector","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofVector\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Vector Bool n → Bitvec n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L42-L42","name":"Bitvec.instCoeBitvecFun","line":42,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecFun","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeBitvecFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec width) (Bitvec.Fun width)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L41-L41","name":"Bitvec.instCoeFunBitvec","line":41,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeFunBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instCoeFunBitvec\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Coe (Bitvec.Fun width) (Bitvec width)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.toFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec width → Bitvec.Fun width
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L34-L35","name":"Bitvec.ofFun","line":34,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofFun","doc":"convert `Bitvec n` to `Fin n → Bool` "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.ofFun\n{width : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec.Fun width → Bitvec width
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L31-L31","name":"Bitvec.Fun","line":31,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Fun","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.Fun\n(width : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L28-L29","name":"Bitvec.instInhabitedBitvec","line":28,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instInhabitedBitvec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instInhabitedBitvec\n(n : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited (Bitvec n)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L25-L26","name":"Bitvec.instGetElemBitvecFinBoolTrue","line":25,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instGetElemBitvecFinBoolTrue","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nBitvec.instGetElemBitvecFinBoolTrue\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (Bitvec n) (Fin n) Bool fun x x => True
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBitvec.width\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Bitvec n → ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L16-L16","name":"Vector.getElem_eq_get","line":16,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.getElem_eq_get","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVector.getElem_eq_get\n{α : Type u}\n\n{n : ℕ}\n\n(v : Vector α n)\n\n(i : Fin n)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    v[i] = Vector.get v i
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L12-L13","name":"Vector.instGetElemVectorFinTrue","line":12,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.instGetElemVectorFinTrue","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVector.instGetElemVectorFinTrue\n{α : Type u}\n\n{n : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    GetElem (Vector α n) (Fin n) α fun x x => True
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp index ca0d7d3d1..04afffdd9 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.PeepholeRewrites","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nOption.some_eq_pure\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    some = pure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3_0 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_2\n(C : Bitvec 32)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L44-L47","name":"thingy3","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy3","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy3\n(C : Bitvec 32)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L29-L38","name":"thingy2","line":29,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op\n (SSA.Context.snoc\n (SSA.Context.snoc SSA.Context.empty (Char.toNat (Char.ofNat 120))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))\n (Char.toNat (Char.ofNat 913)) (SSA.UserType.base (InstCombine.BaseType.bitvec 16)))\n (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L16-L22","name":"thingy","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.PeepholeRewrites","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nOption.some_eq_pure\n{α : Type u}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    some = pure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_3_0 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_2\n(C : Bitvec 32)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nexample_macro_1 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L44-L47","name":"thingy3","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy3","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy3\n(C : Bitvec 32)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L29-L38","name":"thingy2","line":29,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy2","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy2 :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op\n (SSA.Context.snoc\n (SSA.Context.snoc SSA.Context.empty (Char.toNat (Char.ofNat 120))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))\n (Char.toNat (Char.ofNat 913)) (SSA.UserType.base (InstCombine.BaseType.bitvec 16)))\n (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L16-L22","name":"thingy","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nthingy :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TSSA InstCombine.Op ∅\n (SSA.TSSAIndex.REGION (SSA.UserType.base (InstCombine.BaseType.bitvec 32))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp index 56a517974..42b1ce5a3 100644 --- a/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp +++ b/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.InstCombine.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticAlive_auto :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticSimp_alive :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.InstCombine.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticAlive_auto :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ntacticSimp_alive :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp b/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp index eff78cb9a..754457741 100644 --- a/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp +++ b/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.Tensor1D.Tensor1D","instances":[{"typeNames":["Eq","Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instGoedelBaseType","className":"Goedel"},{"typeNames":["Val.ArithScfLinalg.Op","Val.ArithScfLinalg.BaseType","Val.ArithScfLinalg.instGoedelBaseType"],"name":"Val.ArithScfLinalg.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L434-L465","name":"Val.ArithScfLinalg.extract_map","line":434,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.extract_map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.ArithScfLinalg.extract_map\n{v : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c}\n (r0 :\n SSA.TSSA Val.ArithScfLinalg.Op SSA.Context.empty\n (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom Val.ArithScfLinalg.Op.map1d)\n (SSA.OperationTypes.rgnCod Val.ArithScfLinalg.Op.map1d))),\n SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d (SSA.Context.Var.prev SSA.Context.Var.last) r0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101)\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d SSA.Context.Var.last r0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L429-L429","name":"Val.ArithScfLinalg.Parser.Attr.uncurry","line":429,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.uncurry","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.uncurry :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L427-L427","name":"Val.ArithScfLinalg.Parser.Attr.outUserType","line":427,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L426-L426","name":"Val.ArithScfLinalg.Parser.Attr.eval","line":426,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L425-L425","name":"Val.ArithScfLinalg.Parser.Attr.argUserType","line":425,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L423-L423","name":"Val.ArithScfLinalg.Parser.Attr.EnvU.set","line":423,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.EnvU.set","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.EnvU.set :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L422-L422","name":"Val.ArithScfLinalg.Parser.Attr.SSA.teval","line":422,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.SSA.teval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.SSA.teval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L413-L413","name":"Val.ArithScfLinalg.«dsl_opConst(_)»","line":413,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.«dsl_opConst(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.«dsl_opConst(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L412-L412","name":"Val.ArithScfLinalg.dsl_opExtract1d","line":412,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opExtract1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.dsl_opExtract1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L411-L411","name":"Val.ArithScfLinalg.dsl_opMap1d","line":411,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opMap1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.dsl_opMap1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L404-L409","name":"Val.ArithScfLinalg.TUS","line":404,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.TUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Val.ArithScfLinalg.Op Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L371-L401","name":"Val.ArithScfLinalg.eval","line":371,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.eval\n(o : Val.ArithScfLinalg.Op)\n\n(arg : ⟦Val.ArithScfLinalg.argUserType o⟧)\n\n(_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦Val.ArithScfLinalg.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L364-L369","name":"Val.ArithScfLinalg.rgnCod","line":364,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L356-L361","name":"Val.ArithScfLinalg.rgnDom","line":356,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L348-L353","name":"Val.ArithScfLinalg.outUserType","line":348,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L340-L345","name":"Val.ArithScfLinalg.argUserType","line":340,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L336-L336","name":"Val.ArithScfLinalg.UserType","line":336,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.ArithScfLinalg.UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L328-L333","name":"Val.ArithScfLinalg.instGoedelBaseType","line":328,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instInhabitedBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instInhabitedBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instDecidableEqBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L325-L325","name":"Val.ArithScfLinalg.BaseType.tensor2d","line":325,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.tensor2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L324-L324","name":"Val.ArithScfLinalg.BaseType.tensor1d","line":324,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.tensor1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L323-L323","name":"Val.ArithScfLinalg.BaseType.nat","line":323,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.nat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.nat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L322-L322","name":"Val.ArithScfLinalg.BaseType.int","line":322,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.int","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.int :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L321-L326","name":"Val.ArithScfLinalg.BaseType","line":321,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nVal.ArithScfLinalg.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L317-L317","name":"Val.ArithScfLinalg.Op.extract1d","line":317,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.extract1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.extract1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L316-L316","name":"Val.ArithScfLinalg.Op.map1d","line":316,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.map1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.map1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L310-L310","name":"Val.ArithScfLinalg.Op.sub","line":310,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.sub :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L309-L309","name":"Val.ArithScfLinalg.Op.const","line":309,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.const","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.const\n(v : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L308-L308","name":"Val.ArithScfLinalg.Op.add","line":308,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.add :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L307-L317","name":"Val.ArithScfLinalg.Op","line":307,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nVal.ArithScfLinalg.Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L287-L295","name":"Val.Tensor1d.tile","line":287,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.tile","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.tile\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(SIZE : 4 ∣ t.size)\n\n(f : α → α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map f t = Val.scf.for (t.size / 4)\n (fun i acc =>\n let tile := Val.Tensor1d.extract t (i * 4) 4;\n let mapped_tile := Val.Tensor1d.map f tile;\n let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile;\n out)\n Val.Tensor1d.empty
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L261-L264","name":"Val.scf.for.one_n","line":261,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.one_n","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for.one_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 1 f seed = f 0 seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L256-L259","name":"Val.scf.for.zero_n","line":256,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.zero_n","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.zero_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 0 f seed = seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L231-L234","name":"Val.scf.for.peel_end","line":231,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_end","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.peel_end\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L225-L228","name":"Val.scf.for.peel_begin","line":225,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_begin","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.peel_begin\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L220-L222","name":"Val.scf.for","line":220,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L213-L218","name":"Val.scf.for.loop","line":213,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.loop","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for.loop\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(n : ℕ)\n\n(n_minus_i : ℕ)\n\n(acc : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L205-L210","name":"Val.Tensor1d.map_fusion","line":205,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map_fusion","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.map_fusion\n{α : Type}\n\n{g : α → α}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L198-L201","name":"Val.Tensor2d.transpose_involutive","line":198,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose_involutive","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor2d.transpose_involutive\n{α : Type}\n\n(t : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d.transpose (Val.Tensor2d.transpose t) = t
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L191-L194","name":"Val.Tensor2d.transpose","line":191,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor2d.transpose\n{α : Type}\n\n(t : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L189-L189","name":"Val.Tensor2d.val","line":189,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.val\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fin self.size0 → Fin self.size1 → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L188-L188","name":"Val.Tensor2d.size1","line":188,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.size1\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L187-L187","name":"Val.Tensor2d.size0","line":187,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.size0\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L186","name":"Val.Tensor2d.mk","line":186,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.Tensor2d.mk\n{α : Type}\n\n(size0 : ℕ)\n\n(size1 : ℕ)\n\n(val : Fin size0 → Fin size1 → α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L189","name":"Val.Tensor2d","line":186,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nVal.Tensor2d\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L132-L175","name":"Val.extractslice_insertslice","line":132,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.extractslice_insertslice","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.extractslice_insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n\n(CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L123-L125","name":"Val.not_lt_is_geq","line":123,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.not_lt_is_geq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.not_lt_is_geq\n{a : ℕ}\n\n{b : ℕ}\n\n(NOT_LT : ¬a < b)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ≥ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L100-L121","name":"Val.Tensor1d.insertslice","line":100,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.insertslice","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L87-L95","name":"Val.Tensor1d.extract_fill","line":87,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.extract_fill\n{α : Type}\n\n{left : ℕ}\n\n{len : ℕ}\n\n{v : α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L74-L83","name":"Val.Tensor1d.fill","line":74,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.fill\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(v : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L64-L72","name":"Val.Tensor1d.extract_map","line":64,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.extract_map\n{α : Type}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L49-L58","name":"Val.Tensor1d.map","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.map\n{α : Type}\n\n[inst : Inhabited α]\n\n(f : α → α)\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L31-L48","name":"Val.Tensor1d.extract","line":31,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.extract\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L18-L24","name":"Val.Tensor1d.empty","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.empty\n{α : Type}\n\n[inst : Inhabited α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L13-L13","name":"Val.Tensor1d.spec","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.spec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.spec\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n\n(ix : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ix ≥ self.size → Val.Tensor1d.val self ix = default
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L12-L12","name":"Val.Tensor1d.val","line":12,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.val\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L11-L11","name":"Val.Tensor1d.size","line":11,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.size","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.size\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L10","name":"Val.Tensor1d.mk","line":10,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.Tensor1d.mk\n{α : Type}\n\n[inst : Inhabited α]\n\n(size : ℕ)\n\n(val : ℕ → α)\n\n(spec : ∀ (ix : ℕ), ix ≥ size → val ix = default)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L13","name":"Val.Tensor1d","line":10,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nVal.Tensor1d\n(α : Type)\n\n[inst : Inhabited α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.Tensor1D.Tensor1D","instances":[{"typeNames":["Eq","Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instGoedelBaseType","className":"Goedel"},{"typeNames":["Val.ArithScfLinalg.Op","Val.ArithScfLinalg.BaseType","Val.ArithScfLinalg.instGoedelBaseType"],"name":"Val.ArithScfLinalg.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L434-L465","name":"Val.ArithScfLinalg.extract_map","line":434,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.extract_map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.ArithScfLinalg.extract_map\n{v : ℕ}\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c}\n (r0 :\n SSA.TSSA Val.ArithScfLinalg.Op SSA.Context.empty\n (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom Val.ArithScfLinalg.Op.map1d)\n (SSA.OperationTypes.rgnCod Val.ArithScfLinalg.Op.map1d))),\n SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d (SSA.Context.Var.prev SSA.Context.Var.last) r0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101)\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d SSA.Context.Var.last r0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L429-L429","name":"Val.ArithScfLinalg.Parser.Attr.uncurry","line":429,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.uncurry","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.uncurry :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L427-L427","name":"Val.ArithScfLinalg.Parser.Attr.outUserType","line":427,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L426-L426","name":"Val.ArithScfLinalg.Parser.Attr.eval","line":426,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.eval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L425-L425","name":"Val.ArithScfLinalg.Parser.Attr.argUserType","line":425,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L423-L423","name":"Val.ArithScfLinalg.Parser.Attr.EnvU.set","line":423,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.EnvU.set","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.EnvU.set :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L422-L422","name":"Val.ArithScfLinalg.Parser.Attr.SSA.teval","line":422,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.SSA.teval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.Parser.Attr.SSA.teval :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L413-L413","name":"Val.ArithScfLinalg.«dsl_opConst(_)»","line":413,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.«dsl_opConst(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.«dsl_opConst(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L412-L412","name":"Val.ArithScfLinalg.dsl_opExtract1d","line":412,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opExtract1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.dsl_opExtract1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L411-L411","name":"Val.ArithScfLinalg.dsl_opMap1d","line":411,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opMap1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.dsl_opMap1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L404-L409","name":"Val.ArithScfLinalg.TUS","line":404,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.TUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Val.ArithScfLinalg.Op Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L371-L401","name":"Val.ArithScfLinalg.eval","line":371,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.eval\n(o : Val.ArithScfLinalg.Op)\n\n(arg : ⟦Val.ArithScfLinalg.argUserType o⟧)\n\n(_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦Val.ArithScfLinalg.outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L364-L369","name":"Val.ArithScfLinalg.rgnCod","line":364,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.rgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L356-L361","name":"Val.ArithScfLinalg.rgnDom","line":356,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.rgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L348-L353","name":"Val.ArithScfLinalg.outUserType","line":348,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.outUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L340-L345","name":"Val.ArithScfLinalg.argUserType","line":340,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.ArithScfLinalg.argUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op → Val.ArithScfLinalg.UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L336-L336","name":"Val.ArithScfLinalg.UserType","line":336,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.ArithScfLinalg.UserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L328-L333","name":"Val.ArithScfLinalg.instGoedelBaseType","line":328,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instInhabitedBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instInhabitedBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instDecidableEqBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nVal.ArithScfLinalg.instDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L325-L325","name":"Val.ArithScfLinalg.BaseType.tensor2d","line":325,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.tensor2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L324-L324","name":"Val.ArithScfLinalg.BaseType.tensor1d","line":324,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.tensor1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L323-L323","name":"Val.ArithScfLinalg.BaseType.nat","line":323,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.nat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.nat :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L322-L322","name":"Val.ArithScfLinalg.BaseType.int","line":322,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.int","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.BaseType.int :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L321-L326","name":"Val.ArithScfLinalg.BaseType","line":321,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nVal.ArithScfLinalg.BaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L317-L317","name":"Val.ArithScfLinalg.Op.extract1d","line":317,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.extract1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.extract1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L316-L316","name":"Val.ArithScfLinalg.Op.map1d","line":316,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.map1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.map1d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L310-L310","name":"Val.ArithScfLinalg.Op.sub","line":310,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.sub :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L309-L309","name":"Val.ArithScfLinalg.Op.const","line":309,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.const","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.const\n(v : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L308-L308","name":"Val.ArithScfLinalg.Op.add","line":308,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.ArithScfLinalg.Op.add :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.ArithScfLinalg.Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L307-L317","name":"Val.ArithScfLinalg.Op","line":307,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nVal.ArithScfLinalg.Op :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L287-L295","name":"Val.Tensor1d.tile","line":287,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.tile","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.tile\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(SIZE : 4 ∣ t.size)\n\n(f : α → α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map f t = Val.scf.for (t.size / 4)\n (fun i acc =>\n let tile := Val.Tensor1d.extract t (i * 4) 4;\n let mapped_tile := Val.Tensor1d.map f tile;\n let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile;\n out)\n Val.Tensor1d.empty
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L261-L264","name":"Val.scf.for.one_n","line":261,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.one_n","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for.one_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 1 f seed = f 0 seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L256-L259","name":"Val.scf.for.zero_n","line":256,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.zero_n","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.zero_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for 0 f seed = seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L231-L234","name":"Val.scf.for.peel_end","line":231,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_end","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.peel_end\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L225-L228","name":"Val.scf.for.peel_begin","line":225,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_begin","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.scf.for.peel_begin\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L220-L222","name":"Val.scf.for","line":220,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L213-L218","name":"Val.scf.for.loop","line":213,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.loop","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.scf.for.loop\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(n : ℕ)\n\n(n_minus_i : ℕ)\n\n(acc : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L205-L210","name":"Val.Tensor1d.map_fusion","line":205,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map_fusion","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.map_fusion\n{α : Type}\n\n{g : α → α}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L198-L201","name":"Val.Tensor2d.transpose_involutive","line":198,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose_involutive","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor2d.transpose_involutive\n{α : Type}\n\n(t : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d.transpose (Val.Tensor2d.transpose t) = t
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L191-L194","name":"Val.Tensor2d.transpose","line":191,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor2d.transpose\n{α : Type}\n\n(t : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L189-L189","name":"Val.Tensor2d.val","line":189,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.val\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fin self.size0 → Fin self.size1 → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L188-L188","name":"Val.Tensor2d.size1","line":188,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size1","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.size1\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L187-L187","name":"Val.Tensor2d.size0","line":187,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size0","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor2d.size0\n{α : Type}\n\n(self : Val.Tensor2d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L186","name":"Val.Tensor2d.mk","line":186,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.Tensor2d.mk\n{α : Type}\n\n(size0 : ℕ)\n\n(size1 : ℕ)\n\n(val : Fin size0 → Fin size1 → α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor2d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L189","name":"Val.Tensor2d","line":186,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nVal.Tensor2d\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L132-L175","name":"Val.extractslice_insertslice","line":132,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.extractslice_insertslice","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.extractslice_insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n\n(CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L123-L125","name":"Val.not_lt_is_geq","line":123,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.not_lt_is_geq","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.not_lt_is_geq\n{a : ℕ}\n\n{b : ℕ}\n\n(NOT_LT : ¬a < b)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    a ≥ b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L100-L121","name":"Val.Tensor1d.insertslice","line":100,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.insertslice","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L87-L95","name":"Val.Tensor1d.extract_fill","line":87,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.extract_fill\n{α : Type}\n\n{left : ℕ}\n\n{len : ℕ}\n\n{v : α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L74-L83","name":"Val.Tensor1d.fill","line":74,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.fill\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(v : α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L64-L72","name":"Val.Tensor1d.extract_map","line":64,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nVal.Tensor1d.extract_map\n{α : Type}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L49-L58","name":"Val.Tensor1d.map","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.map\n{α : Type}\n\n[inst : Inhabited α]\n\n(f : α → α)\n\n(t : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L31-L48","name":"Val.Tensor1d.extract","line":31,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.extract\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L18-L24","name":"Val.Tensor1d.empty","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.empty","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nVal.Tensor1d.empty\n{α : Type}\n\n[inst : Inhabited α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L13-L13","name":"Val.Tensor1d.spec","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.spec","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.spec\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n\n(ix : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ix ≥ self.size → Val.Tensor1d.val self ix = default
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L12-L12","name":"Val.Tensor1d.val","line":12,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.val","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.val\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ → α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L11-L11","name":"Val.Tensor1d.size","line":11,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.size","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nVal.Tensor1d.size\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ℕ
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L10","name":"Val.Tensor1d.mk","line":10,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nVal.Tensor1d.mk\n{α : Type}\n\n[inst : Inhabited α]\n\n(size : ℕ)\n\n(val : ℕ → α)\n\n(spec : ∀ (ix : ℕ), ix ≥ size → val ix = default)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Val.Tensor1d α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L13","name":"Val.Tensor1d","line":10,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nVal.Tensor1d\n(α : Type)\n\n[inst : Inhabited α]\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp b/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp index 5495e21c1..e528b4715 100644 --- a/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp +++ b/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp @@ -1 +1 @@ -{"name":"SSA.Projects.Tensor2D.Tensor2D","instances":[{"typeNames":["Eq","BaseType"],"name":"instDecidableEqBaseType","className":"Decidable"},{"typeNames":["BaseType"],"name":"instInhabitedBaseType","className":"Inhabited"},{"typeNames":["BaseType"],"name":"instGoedelBaseType","className":"Goedel"},{"typeNames":["Op","BaseType","instGoedelBaseType"],"name":"TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.EDSLNested","Mathlib.Data.Matrix.Basic","Mathlib.Data.Nat.Basic","SSA.Core.Util","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L203-L224","name":"map_fill_2d","line":203,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#map_fill_2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nmap_fill_2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ),\n SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003 SSA.TSSA.unit\n (SSA.TSSA.assign 10004 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10005\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008 SSA.TSSA.unit\n (SSA.TSSA.assign 10009 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10010\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10011\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 10004 SSA.TSSA.unit\n (SSA.TSSA.assign 10005 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10009\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10010 SSA.TSSA.unit\n (SSA.TSSA.assign 10011 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015 (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstInt(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstTensor(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstIx(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nTUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Op BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\neval\n(o : Op)\n\n(arg : ⟦argUserType o⟧)\n\n(_rgn : ⟦rgnDom o⟧ → ⟦rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nrgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nrgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\noutUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L110-L118","name":"argUserType","line":110,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nargUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L106-L106","name":"UserType","line":106,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L104-L104","name":"instGoedelBaseType","line":104,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBaseType.toType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instInhabitedBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstInhabitedBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instDecidableEqBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.tensor2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.ix :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.int :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.sub :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constInt\n(v : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constTensor\n(t : Tensor2d' ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constIx\n(v : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.add :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.fill_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(v : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(f : α → β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.extract\n{α : Type}\n\n(δ₀ : Index)\n\n(δ₁ : Index)\n\n(sz₀ : Index)\n\n(sz₁ : Index)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.fill\n{β : Type}\n\n{α : Type}\n\n(v : β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nconst\n{α : Sort u_1}\n\n{β : Sort u_2}\n\n(a : α)\n\n(_b : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_error\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_functorial\n{β : Type}\n\n{γ : Type}\n\n{α : Type}\n\n(g : β → γ)\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.map\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.transpose_transpose\n{α : Type}\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.transpose (Tensor2d'.transpose t) = t
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.transpose\n{α : Type}\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.error\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.mat\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Matrix (Fin self.dim₀) (Fin self.dim₁) α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.dim₁\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Index
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.dim₀\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Index
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nTensor2d'.mk\n{α : Type}\n\n(dim₀ : Index)\n\n(dim₁ : Index)\n\n(mat : Matrix (Fin dim₀) (Fin dim₁) α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nTensor2d'\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nIndex :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file +{"name":"SSA.Projects.Tensor2D.Tensor2D","instances":[{"typeNames":["Eq","BaseType"],"name":"instDecidableEqBaseType","className":"Decidable"},{"typeNames":["BaseType"],"name":"instInhabitedBaseType","className":"Inhabited"},{"typeNames":["BaseType"],"name":"instGoedelBaseType","className":"Goedel"},{"typeNames":["Op","BaseType","instGoedelBaseType"],"name":"TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.EDSLNested","Mathlib.Data.Matrix.Basic","Mathlib.Data.Nat.Basic","SSA.Core.Util","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L203-L224","name":"map_fill_2d","line":203,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#map_fill_2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nmap_fill_2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ∀ {c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ),\n SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003 SSA.TSSA.unit\n (SSA.TSSA.assign 10004 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10005\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008 SSA.TSSA.unit\n (SSA.TSSA.assign 10009 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10010\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10011\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 10004 SSA.TSSA.unit\n (SSA.TSSA.assign 10005 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10009\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10010 SSA.TSSA.unit\n (SSA.TSSA.assign 10011 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015 (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstInt(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstTensor(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\n«dsl_op2ConstIx(_)» :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\ndsl_op2Map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lean.ParserDescr
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\nTUS :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    SSA.TypedUserSemantics Op BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\neval\n(o : Op)\n\n(arg : ⟦argUserType o⟧)\n\n(_rgn : ⟦rgnDom o⟧ → ⟦rgnCod o⟧)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ⟦outUserType o⟧
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nrgnCod :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nrgnDom :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\noutUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L110-L118","name":"argUserType","line":110,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#argUserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nargUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op → UserType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L106-L106","name":"UserType","line":106,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#UserType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nUserType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L104-L104","name":"instGoedelBaseType","line":104,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instGoedelBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstGoedelBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Goedel BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nBaseType.toType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType → Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instInhabitedBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instInhabitedBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstInhabitedBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Inhabited BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instDecidableEqBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instDecidableEqBaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    instance\ninstDecidableEqBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    DecidableEq BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.tensor2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.ix :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nBaseType.int :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    BaseType
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nBaseType :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.extract2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.fill2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.map2d :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.sub :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constInt\n(v : ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constTensor\n(t : Tensor2d' ℤ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.constIx\n(v : ℕ)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nOp.add :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Op
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    inductive\nOp :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.fill_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(v : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(f : α → β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.extract\n{α : Type}\n\n(δ₀ : Index)\n\n(δ₁ : Index)\n\n(sz₀ : Index)\n\n(sz₁ : Index)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.fill\n{β : Type}\n\n{α : Type}\n\n(v : β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nconst\n{α : Sort u_1}\n\n{β : Sort u_2}\n\n(a : α)\n\n(_b : β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_error\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.map_functorial\n{β : Type}\n\n{γ : Type}\n\n{α : Type}\n\n(g : β → γ)\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.map\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' β
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    theorem\nTensor2d'.transpose_transpose\n{α : Type}\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d'.transpose (Tensor2d'.transpose t) = t
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.transpose\n{α : Type}\n\n(t : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    def\nTensor2d'.error\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.mat\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Matrix (Fin self.dim₀) (Fin self.dim₁) α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.dim₁\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Index
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nTensor2d'.dim₀\n{α : Type}\n\n(self : Tensor2d' α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Index
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    constructor\nTensor2d'.mk\n{α : Type}\n\n(dim₀ : Index)\n\n(dim₁ : Index)\n\n(mat : Matrix (Fin dim₀) (Fin dim₁) α)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Tensor2d' α
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    structure\nTensor2d'\n(α : Type)\n :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "},{"info":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"header":"
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    abbrev\nIndex :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Type
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    "}]} \ No newline at end of file diff --git a/declarations/declaration-data.bmp b/declarations/declaration-data.bmp index ee185d48e..fa2af1bdb 100644 --- a/declarations/declaration-data.bmp +++ b/declarations/declaration-data.bmp @@ -1 +1 @@ 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"},"«term_≤_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L304-L304","name":"«term_≤_»","line":304,"kind":"def","docLink":"./Init/Notation.html#«term_≤_»","doc":"The less-equal relation: `x ≤ y` "},"«term_≠_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L563-L563","name":"«term_≠_»","line":563,"kind":"def","docLink":"./Init/Core.html#«term_≠_»","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"«term_≈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L343-L343","name":"«term_≈_»","line":343,"kind":"def","docLink":"./Init/Core.html#«term_≈_»","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"«term_∨_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L329-L329","name":"«term_∨_»","line":329,"kind":"def","docLink":"./Init/Notation.html#«term_∨_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_∧_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L327-L327","name":"«term_∧_»","line":327,"kind":"def","docLink":"./Init/Notation.html#«term_∧_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_∘_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L268-L268","name":"«term_∘_»","line":268,"kind":"def","docLink":"./Init/Notation.html#«term_∘_»","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"«term_∉_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L337-L338","name":"«term_∉_»","line":337,"kind":"def","docLink":"./Init/Notation.html#«term_∉_»","doc":"`a ∉ b` is negated elementhood. It is notation for `¬ (a ∈ b)`. "},"«term_∈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L336-L336","name":"«term_∈_»","line":336,"kind":"def","docLink":"./Init/Notation.html#«term_∈_»","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"«term_↔_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L95-L95","name":"«term_↔_»","line":95,"kind":"def","docLink":"./Init/Core.html#«term_↔_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_×_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L269-L269","name":"«term_×_»","line":269,"kind":"def","docLink":"./Init/Notation.html#«term_×_»","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"«term_×__1»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L87-L87","name":"«term_×__1»","line":87,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×__1»","doc":""},"«term_×'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L88-L88","name":"«term_×'_»","line":88,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×'_»","doc":""},"«term_|||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L271-L271","name":"«term_|||_»","line":271,"kind":"def","docLink":"./Init/Notation.html#«term_|||_»","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L333-L333","name":"«term_||_»","line":333,"kind":"def","docLink":"./Init/Notation.html#«term_||_»","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"«term_|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L428-L432","name":"«term_|>_»","line":428,"kind":"def","docLink":"./Init/Notation.html#«term_|>_»","doc":"Haskell-like pipe operator `|>`. `x |> f` means the same as the same as `f x`,\nand it chains such that `x |> f |> g` is interpreted as `g (f x)`.\n"},"«term__[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L834-L835","name":"«term__[_]»","line":834,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term__[_]_?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L86-L86","name":"«term__[_]_?»","line":86,"kind":"def","docLink":"./Init/Util.html#«term__[_]_?»","doc":""},"«term__[_]_!»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L87-L87","name":"«term__[_]_!»","line":87,"kind":"def","docLink":"./Init/Util.html#«term__[_]_!»","doc":""},"«term__[_]'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L838-L839","name":"«term__[_]'_»","line":838,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]'_»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term_^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L281-L281","name":"«term_^_»","line":281,"kind":"def","docLink":"./Init/Notation.html#«term_^_»","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"«term_^^^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L272-L272","name":"«term_^^^_»","line":272,"kind":"def","docLink":"./Init/Notation.html#«term_^^^_»","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_\\/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L328-L328","name":"«term_\\/_»","line":328,"kind":"def","docLink":"./Init/Notation.html#«term_\\/_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L308-L308","name":"«term_>_»","line":308,"kind":"def","docLink":"./Init/Notation.html#«term_>_»","doc":"`a > b` is an abbreviation for `b < a`. "},"«term_>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L342-L342","name":"«term_>>_»","line":342,"kind":"def","docLink":"./Init/Notation.html#«term_>>_»","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_>>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L280-L280","name":"«term_>>>_»","line":280,"kind":"def","docLink":"./Init/Notation.html#«term_>>>_»","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"«term_>>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L343-L343","name":"«term_>>=_»","line":343,"kind":"def","docLink":"./Init/Notation.html#«term_>>=_»","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"«term_>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L306-L306","name":"«term_>=_»","line":306,"kind":"def","docLink":"./Init/Notation.html#«term_>=_»","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"«term_>=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L252-L252","name":"«term_>=>_»","line":252,"kind":"def","docLink":"./Init/Control/Basic.html#«term_>=>_»","doc":"Left-to-right composition of Kleisli arrows. "},"«term_=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L309-L309","name":"«term_=_»","line":309,"kind":"def","docLink":"./Init/Notation.html#«term_=_»","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"«term_==_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L310-L310","name":"«term_==_»","line":310,"kind":"def","docLink":"./Init/Notation.html#«term_==_»","doc":"Boolean equality, notated as `a == b`. "},"«term_=<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L254-L254","name":"«term_=<<_»","line":254,"kind":"def","docLink":"./Init/Control/Basic.html#«term_=<<_»","doc":"Same as `Bind.bind` but with arguments swapped. "},"«term_<||>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L58-L58","name":"«term_<||>_»","line":58,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<||>_»","doc":""},"«term_<|_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L417-L422","name":"«term_<|_»","line":417,"kind":"def","docLink":"./Init/Notation.html#«term_<|_»","doc":"Haskell-like pipe operator `<|`. `f <| x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f <| g <| x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L341-L341","name":"«term_<|>_»","line":341,"kind":"def","docLink":"./Init/Notation.html#«term_<|>_»","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L305-L305","name":"«term_<_»","line":305,"kind":"def","docLink":"./Init/Notation.html#«term_<_»","doc":"The less-than relation: `x < y` "},"«term_<=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L303-L303","name":"«term_<=_»","line":303,"kind":"def","docLink":"./Init/Notation.html#«term_<=_»","doc":"The less-equal relation: `x ≤ y` "},"«term_<=<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L253-L253","name":"«term_<=<_»","line":253,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<=<_»","doc":"Right-to-left composition of Kleisli arrows. "},"«term_<<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L279-L279","name":"«term_<<<_»","line":279,"kind":"def","docLink":"./Init/Notation.html#«term_<<<_»","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"«term_<->_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L94-L94","name":"«term_<->_»","line":94,"kind":"def","docLink":"./Init/Core.html#«term_<->_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_<*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L345-L345","name":"«term_<*_»","line":345,"kind":"def","docLink":"./Init/Notation.html#«term_<*_»","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_<*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L344-L344","name":"«term_<*>_»","line":344,"kind":"def","docLink":"./Init/Notation.html#«term_<*>_»","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"«term_<&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L15-L15","name":"«term_<&>_»","line":15,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&>_»","doc":""},"«term_<&&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L66-L66","name":"«term_<&&>_»","line":66,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&&>_»","doc":""},"«term_<$>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L347-L347","name":"«term_<$>_»","line":347,"kind":"def","docLink":"./Init/Notation.html#«term_<$>_»","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"«term_::_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L340-L340","name":"«term_::_»","line":340,"kind":"def","docLink":"./Init/Notation.html#«term_::_»","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"«term_/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L277-L277","name":"«term_/_»","line":277,"kind":"def","docLink":"./Init/Notation.html#«term_/_»","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"«term_/\\_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L326-L326","name":"«term_/\\_»","line":326,"kind":"def","docLink":"./Init/Notation.html#«term_/\\_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L275-L275","name":"«term_-_»","line":275,"kind":"def","docLink":"./Init/Notation.html#«term_-_»","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"«term_+_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L274-L274","name":"«term_+_»","line":274,"kind":"def","docLink":"./Init/Notation.html#«term_+_»","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_++_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L282-L282","name":"«term_++_»","line":282,"kind":"def","docLink":"./Init/Notation.html#«term_++_»","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"«term_*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L276-L276","name":"«term_*_»","line":276,"kind":"def","docLink":"./Init/Notation.html#«term_*_»","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L346-L346","name":"«term_*>_»","line":346,"kind":"def","docLink":"./Init/Notation.html#«term_*>_»","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L332-L332","name":"«term_&&_»","line":332,"kind":"def","docLink":"./Init/Notation.html#«term_&&_»","doc":"`and x y`, or `x && y`, is the boolean \"and\" operation (not to be confused\nwith `And : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is false then `y` is not evaluated.\n"},"«term_&&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L273-L273","name":"«term_&&&_»","line":273,"kind":"def","docLink":"./Init/Notation.html#«term_&&&_»","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_%_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L278-L278","name":"«term_%_»","line":278,"kind":"def","docLink":"./Init/Notation.html#«term_%_»","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"«term_$__»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L438-L444","name":"«term_$__»","line":438,"kind":"def","docLink":"./Init/Notation.html#«term_$__»","doc":"Alternative syntax for `<|`. `f $ x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f $ g $ x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_!=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L485-L485","name":"«term_!=_»","line":485,"kind":"def","docLink":"./Init/Core.html#«term_!=_»","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming applications.\n"},"«term[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L463-L474","name":"«term[_]»","line":463,"kind":"def","docLink":"./Init/Notation.html#«term[_]»","doc":"The syntax `[a, b, c]` is shorthand for `a :: b :: c :: []`, or\n`List.cons a (List.cons b (List.cons c List.nil))`. It allows conveniently constructing\nlist literals.\n\nFor lists of length at least 64, an alternative desugaring strategy is used\nwhich uses let bindings as intermediates as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\nNote that this changes the order of evaluation, although it should not be observable\nunless you use side effecting operations like `dbg_trace`.\n"},"«termExists_,_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L84-L84","name":"«termExists_,_»","line":84,"kind":"def","docLink":"./Init/NotationExtra.html#«termExists_,_»","doc":""},"«term-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L283-L283","name":"«term-_»","line":283,"kind":"def","docLink":"./Init/Notation.html#«term-_»","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"«term%[_|_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L476-L482","name":"«term%[_|_]»","line":476,"kind":"def","docLink":"./Init/Notation.html#«term%[_|_]»","doc":"Auxiliary syntax for implementing `[$elem,*]` list literal syntax.\nThe syntax `%[a,b,c|tail]` constructs a value equivalent to `a::b::c::tail`.\nIt uses binary partitioning to construct a tree of intermediate let bindings as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\n"},"«term#[_,]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L507-L507","name":"«term#[_,]»","line":507,"kind":"def","docLink":"./Init/Data/Array/Basic.html#«term#[_,]»","doc":""},"«stx_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L190-L205","name":"«stx_<|>_»","line":190,"kind":"def","docLink":"./Init/Notation.html#«stx_<|>_»","doc":"`p1 <|> p2` is shorthand for `orelse(p1, p2)`, and parses either `p1` or `p2`.\nIt does not backtrack, meaning that if `p1` consumes at least one token then\n`p2` will not be tried. Therefore, the parsers should all differ in their first\ntoken. The `atomic(p)` parser combinator can be used to locally backtrack a parser.\n(For full backtracking, consider using extensible syntax classes instead.)\n\nOn success, if the inner parser does not generate exactly one node, it will be\nautomatically wrapped in a `group` node, so the result will always be arity 1.\n\nThe `<|>` combinator does not generate a node of its own, and in particular\ndoes not tag the inner parsers to distinguish them, which can present a problem\nwhen reconstructing the parse. A well formed `<|>` parser should use disjoint\nnode kinds for `p1` and `p2`.\n"},"«stx_,+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L228-L228","name":"«stx_,+»","line":228,"kind":"def","docLink":"./Init/Notation.html#«stx_,+»","doc":"`p,+` is shorthand for `sepBy(p, \",\")`. It parses 1 or more occurrences of\n`p` separated by `,`, that is: `p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,+,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L248-L248","name":"«stx_,+,?»","line":248,"kind":"def","docLink":"./Init/Notation.html#«stx_,+,?»","doc":"`p,+,?` is shorthand for `sepBy1(p, \",\", allowTrailingSep)`.\nIt parses 1 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L220-L220","name":"«stx_,*»","line":220,"kind":"def","docLink":"./Init/Notation.html#«stx_,*»","doc":"`p,*` is shorthand for `sepBy(p, \",\")`. It parses 0 or more occurrences of\n`p` separated by `,`, that is: `empty | p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L238-L238","name":"«stx_,*,?»","line":238,"kind":"def","docLink":"./Init/Notation.html#«stx_,*,?»","doc":"`p,*,?` is shorthand for `sepBy(p, \",\", allowTrailingSep)`.\nIt parses 0 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `empty | p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L161-L167","name":"«stx_+»","line":161,"kind":"def","docLink":"./Init/Notation.html#«stx_+»","doc":"`p+` is shorthand for `many1(p)`. It uses parser `p` 1 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«stx_*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L169-L175","name":"«stx_*»","line":169,"kind":"def","docLink":"./Init/Notation.html#«stx_*»","doc":"`p*` is shorthand for `many(p)`. It uses parser `p` 0 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«prio(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L141-L141","name":"«prio(_)»","line":141,"kind":"def","docLink":"./Init/Notation.html#«prio(_)»","doc":"Parentheses are used for grouping priority expressions. "},"«prec(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L119-L119","name":"«prec(_)»","line":119,"kind":"def","docLink":"./Init/Notation.html#«prec(_)»","doc":"Parentheses are used for grouping precedence expressions. "},"«dsl_op2ConstTensor(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"«dsl_op2ConstIx(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"«dsl_op2ConstInt(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"withTheReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3069-L3070","name":"withTheReader","line":3069,"kind":"def","docLink":"./Init/Prelude.html#withTheReader","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L89-L89","name":"withShareCommon","line":89,"kind":"def","docLink":"./Init/ShareCommon.html#withShareCommon","doc":""},"withPtrEqUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L60-L61","name":"withPtrEqUnsafe","line":60,"kind":"def","docLink":"./Init/Util.html#withPtrEqUnsafe","doc":""},"withPtrEqDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L67-L71","name":"withPtrEqDecEq","line":67,"kind":"def","docLink":"./Init/Util.html#withPtrEqDecEq","doc":"`withPtrEq` for `DecidableEq` "},"withPtrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L64-L64","name":"withPtrEq","line":64,"kind":"def","docLink":"./Init/Util.html#withPtrEq","doc":""},"withPtrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L49-L50","name":"withPtrAddrUnsafe","line":49,"kind":"def","docLink":"./Init/Util.html#withPtrAddrUnsafe","doc":""},"withPtrAddr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L74-L74","name":"withPtrAddr","line":74,"kind":"def","docLink":"./Init/Util.html#withPtrAddr","doc":""},"usize_size_gt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L287-L288","name":"usize_size_gt_zero","line":287,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#usize_size_gt_zero","doc":""},"usize_size_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1975-L1979","name":"usize_size_eq","line":1975,"kind":"theorem","docLink":"./Init/Prelude.html#usize_size_eq","doc":""},"unsafeIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L91-L92","name":"unsafeIO","line":91,"kind":"def","docLink":"./Init/System/IO.html#unsafeIO","doc":""},"unsafeEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L88-L89","name":"unsafeEIO","line":88,"kind":"def","docLink":"./Init/System/IO.html#unsafeEIO","doc":""},"unsafeCast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2412-L2413","name":"unsafeCast","line":2412,"kind":"def","docLink":"./Init/Prelude.html#unsafeCast","doc":"This function will cast a value of type `α` to type `β`, and is a no-op in the\ncompiler. This function is **extremely dangerous** because there is no guarantee\nthat types `α` and `β` have the same data representation, and this can lead to\nmemory unsafety. It is also logically unsound, since you could just cast\n`True` to `False`. For all those reasons this function is marked as `unsafe`.\n\nIt is implemented by lifting both `α` and `β` into a common universe, and then\nusing `cast (lcProof : ULift (PLift α) = ULift (PLift β))` to actually perform\nthe cast. All these operations are no-ops in the compiler.\n\nUsing this function correctly requires some knowledge of the data representation\nof the source and target types. Some general classes of casts which are safe in\nthe current runtime:\n\n* `Array α` to `Array β` where `α` and `β` have compatible representations,\n or more generally for other inductive types.\n* `Quot α r` and `α`.\n* `@Subtype α p` and `α`, or generally any structure containing only one\n non-`Prop` field of type `α`.\n* Casting `α` to/from `NonScalar` when `α` is a boxed generic type\n (i.e. a function that accepts an arbitrary type `α` and is not specialized to\n a scalar type like 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To resolve this, `ite` is marked as\n`@[macro_inline]`, which means that it is unfolded during code generation, and\nthe definition of the function uses `fun _ => t` and `fun _ => e` so this recovers\nthe expected \"lazy\" behavior of `if`: the `t` and `e` arguments delay evaluation\nuntil `c` is known.\n"},"termIfLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L392-L404","name":"termIfLet","line":392,"kind":"def","docLink":"./Init/Notation.html#termIfLet","doc":"`if let pat := d then t else e` is a shorthand syntax for:\n```\nmatch d with\n| pat => t\n| _ => e\n```\nIt matches `d` against the pattern `pat` and the bindings are available in `t`.\nIf the pattern does not match, it returns `e` instead.\n"},"termDepIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L371-L373","name":"termDepIfThenElse","line":371,"kind":"def","docLink":"./Init/Notation.html#termDepIfThenElse","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"term!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L334-L334","name":"term!_","line":334,"kind":"def","docLink":"./Init/Notation.html#term!_","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"tacticSimp_wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L12-L13","name":"tacticSimp_wf","line":12,"kind":"def","docLink":"./Init/WFTactics.html#tacticSimp_wf","doc":"Unfold definitions commonly used in well founded relation definitions.\nThis is primarily intended for internal use in `decreasing_tactic`. "},"tacticSimp_mlir":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"tacticSimp_alive":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"tacticPrint_goal_as_error":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"tacticGet_elem_tactic_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L804-L812","name":"tacticGet_elem_tactic_trivial","line":804,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic_trivial","doc":"`get_elem_tactic_trivial` is an extensible tactic automatically called\nby the notation `arr[i]` to prove any side conditions that arise when\nconstructing the term (e.g. the index is in bounds of the array).\nThe default behavior is to just try `trivial` (which handles the case\nwhere `i < arr.size` is in the context) and `simp_arith`\n(for doing linear arithmetic in the index).\n"},"tacticGet_elem_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L824-L832","name":"tacticGet_elem_tactic","line":824,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic","doc":"`get_elem_tactic` is the tactic automatically called by the notation `arr[i]`\nto prove any side conditions that arise when constructing the term\n(e.g. the index is in bounds of the array). It just delegates to\n`get_elem_tactic_trivial` and gives a diagnostic error message otherwise;\nusers are encouraged to extend `get_elem_tactic_trivial` instead of this tactic.\n"},"tacticFunext___":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L323-L336","name":"tacticFunext___","line":323,"kind":"def","docLink":"./Init/NotationExtra.html#tacticFunext___","doc":"Apply function extensionality and introduce new hypotheses.\nThe tactic `funext` will keep applying the `funext` lemma until the goal target is not reducible to\n```\n |- ((fun x => ...) = (fun x => ...))\n```\nThe variant `funext h₁ ... hₙ` applies `funext` `n` times, and uses the given identifiers to name the new hypotheses.\nPatterns can be used like in the `intro` tactic. Example, given a goal\n```\n |- ((fun x : Nat × Bool => ...) = (fun x => ...))\n```\n`funext (a, b)` applies `funext` once and performs pattern matching on the newly introduced pair.\n"},"tacticDecreasing_with_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L33-L44","name":"tacticDecreasing_with_","line":33,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_with_","doc":"Constructs a proof of decreasing along a well founded relation, by applying\nlexicographic order lemmas and using `ts` to solve the base case. If it fails,\nit prints a message to help the user diagnose an ill-founded recursive definition. "},"tacticDecreasing_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L15-L22","name":"tacticDecreasing_trivial","line":15,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_trivial","doc":"Extensible helper tactic for `decreasing_tactic`. This handles the \"base case\"\nreasoning after applying lexicographic order lemmas.\nIt can be extended by adding more macro definitions, e.g.\n```\nmacro_rules | `(tactic| decreasing_trivial) => `(tactic| linarith)\n```\n"},"tacticDecreasing_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L52-L53","name":"tacticDecreasing_tactic","line":52,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_tactic","doc":"`decreasing_tactic` is called by default on well-founded recursions in order\nto synthesize a proof that recursive calls decrease along the selected\nwell founded relation. It can be locally overridden by using `decreasing_by tac`\non the recursive definition, and it can also be globally extended by adding\nmore definitions for `decreasing_tactic` (or `decreasing_trivial`,\nwhich this tactic calls). "},"tacticAlive_auto":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"subtypeCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L307-L308","name":"subtypeCoe","line":307,"kind":"instance","docLink":"./Init/Coe.html#subtypeCoe","doc":""},"stx_?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L177-L188","name":"stx_?","line":177,"kind":"def","docLink":"./Init/Notation.html#stx_?","doc":"`(p)?` is shorthand for `optional(p)`. It uses parser `p` 0 or 1 times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\n`p` is allowed to have arity n > 1 (in which case the node will have either 0 or n children),\nbut if it has arity 0 then the result will be ambiguous.\n\nBecause `?` is an identifier character, `ident?` will not work as intended.\nYou have to write either `ident ?` or `(ident)?` for it to parse as the `?` combinator\napplied to the `ident` parser.\n"},"stx!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L254-L254","name":"stx!_","line":254,"kind":"def","docLink":"./Init/Notation.html#stx!_","doc":"`!p` parses the negation of `p`. That is, it fails if `p` succeeds, and\notherwise parses nothing. It has arity 0.\n"},"strictOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L467-L467","name":"strictOr","line":467,"kind":"def","docLink":"./Init/Core.html#strictOr","doc":"`strictOr` is the same as `or`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `true`.\n"},"strictAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L473-L473","name":"strictAnd","line":473,"kind":"def","docLink":"./Init/Core.html#strictAnd","doc":"`strictAnd` is the same as `and`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `false`.\n"},"stdSplit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L57-L64","name":"stdSplit","line":57,"kind":"def","docLink":"./Init/Data/Random.html#stdSplit","doc":""},"stdRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L38-L38","name":"stdRange","line":38,"kind":"def","docLink":"./Init/Data/Random.html#stdRange","doc":""},"stdNext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L43-L55","name":"stdNext","line":43,"kind":"def","docLink":"./Init/Data/Random.html#stdNext","doc":""},"sorryAx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L641-L641","name":"sorryAx","line":641,"kind":"axiom","docLink":"./Init/Prelude.html#sorryAx","doc":"Auxiliary axiom used to implement `sorry`.\n\nThe `sorry` term/tactic expands to `sorryAx _ (synthetic := false)`. This is a\nproof of anything, which is intended for stubbing out incomplete parts of a\nproof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n\nThe `synthetic` flag is false when written explicitly by the user, but it is\nset to `true` when a tactic fails to prove a goal, or if there is a type error\nin the expression. A synthetic `sorry` acts like a regular one, except that it\nsuppresses follow-up errors in order to prevent one error from causing a cascade\nof other errors because the desired term was not constructed.\n"},"solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L380-L383","name":"solve","line":380,"kind":"def","docLink":"./Init/NotationExtra.html#solve","doc":"Similar to `first`, but succeeds only if one the given tactics solves the current goal.\n"},"sizeOf_thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L57-L58","name":"sizeOf_thunk","line":57,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_thunk","doc":""},"sizeOf_nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L52-L52","name":"sizeOf_nat","line":52,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_nat","doc":""},"sizeOf_default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L47-L47","name":"sizeOf_default","line":47,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_default","doc":""},"sizeOfWFRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L190-L191","name":"sizeOfWFRel","line":190,"kind":"def","docLink":"./Init/WF.html#sizeOfWFRel","doc":""},"shareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L91-L92","name":"shareCommonM","line":91,"kind":"def","docLink":"./Init/ShareCommon.html#shareCommonM","doc":""},"seq_eq_bind_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L65-L66","name":"seq_eq_bind_map","line":65,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind_map","doc":""},"seq_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L77-L78","name":"seq_eq_bind","line":77,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind","doc":""},"seqRight_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L80-L82","name":"seqRight_eq_bind","line":80,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqRight_eq_bind","doc":""},"seqLeft_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L84-L85","name":"seqLeft_eq_bind","line":84,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqLeft_eq_bind","doc":""},"semiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L618-L618","name":"semiOutParam","line":618,"kind":"def","docLink":"./Init/Prelude.html#semiOutParam","doc":"Gadget for marking semi output parameters in type classes.\n\nSemi-output parameters influence the order in which arguments to type class\ninstances are processed. Lean determines an order where all non-(semi-)output\nparameters to the instance argument have to be figured out before attempting to\nsynthesize an argument (that is, they do not contain assignable metavariables\ncreated during TC synthesis). This rules out instances such as `[Mul β] : Add\nα` (because `β` could be anything). Marking a parameter as semi-output is a\npromise that instances of the type class will always fill in a value for that\nparameter.\n\nFor example, the `Coe` class is defined as:\n```\nclass Coe (α : semiOutParam (Sort u)) (β : Sort v)\n```\nThis means that all `Coe` instances should provide a concrete value for `α`\n(i.e., not an assignable metavariable). An instance like `Coe Nat Int` or `Coe\nα (Option α)` is fine, but `Coe α Nat` is not since it does not provide a value\nfor `α`.\n"},"runST":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L32-L35","name":"runST","line":32,"kind":"def","docLink":"./Init/System/ST.html#runST","doc":""},"runEST":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L26-L29","name":"runEST","line":26,"kind":"def","docLink":"./Init/System/ST.html#runEST","doc":""},"rgnDom":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"rgnCod":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L281-L281","name":"rfl","line":281,"kind":"def","docLink":"./Init/Prelude.html#rfl","doc":"`rfl : a = a` is the unique constructor of the equality type. This is the\nsame as `Eq.refl` except that it takes `a` implicitly instead of explicitly.\n\nThis is a more powerful theorem than it may appear at first, because although\nthe statement of the theorem is `a = a`, lean will allow anything that is\ndefinitionally equal to that type. So, for instance, `2 + 2 = 4` is proven in\nlean by `rfl`, because both sides are the same up to definitional equality.\n"},"reprStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L24-L25","name":"reprStr","line":24,"kind":"def","docLink":"./Init/Data/Repr.html#reprStr","doc":""},"reprArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L27-L28","name":"reprArg","line":27,"kind":"def","docLink":"./Init/Data/Repr.html#reprArg","doc":""},"repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L21-L22","name":"repr","line":21,"kind":"def","docLink":"./Init/Data/Repr.html#repr","doc":""},"recSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L893-L902","name":"recSubsingleton","line":893,"kind":"theorem","docLink":"./Init/Core.html#recSubsingleton","doc":""},"readThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3033-L3034","name":"readThe","line":3033,"kind":"def","docLink":"./Init/Prelude.html#readThe","doc":"Like `read`, but with `ρ` explicit. This is useful if a monad supports\n`MonadReaderOf` for multiple different types `ρ`.\n"},"rawNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L256-L266","name":"rawNatLit","line":256,"kind":"def","docLink":"./Init/Notation.html#rawNatLit","doc":"The `nat_lit n` macro constructs \"raw numeric literals\". This corresponds to the\n`Expr.lit (.natVal n)` constructor in the `Expr` data type.\n\nNormally, when you write a numeral like `#check 37`, the parser turns this into\nan application of `OfNat.ofNat` to the raw literal `37` to cast it into the\ntarget type, even if this type is `Nat` (so the cast is the identity function).\nBut sometimes it is necessary to talk about the raw numeral directly,\nespecially when proving properties about the `ofNat` function itself.\n"},"randNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L93-L108","name":"randNat","line":93,"kind":"def","docLink":"./Init/Data/Random.html#randNat","doc":"Generate a random natural number in the interval [lo, hi]. "},"randBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L111-L113","name":"randBool","line":111,"kind":"def","docLink":"./Init/Data/Random.html#randBool","doc":"Generate a random Boolean. "},"pure_id_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L43-L44","name":"pure_id_seq","line":43,"kind":"theorem","docLink":"./Init/Control/Lawful.html#pure_id_seq","doc":""},"ptrEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L54-L57","name":"ptrEqList","line":54,"kind":"def","docLink":"./Init/Util.html#ptrEqList","doc":""},"ptrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L52-L52","name":"ptrEq","line":52,"kind":"def","docLink":"./Init/Util.html#ptrEq","doc":""},"ptrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L46-L46","name":"ptrAddrUnsafe","line":46,"kind":"opaque","docLink":"./Init/Util.html#ptrAddrUnsafe","doc":""},"propext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1142-L1142","name":"propext","line":1142,"kind":"axiom","docLink":"./Init/Core.html#propext","doc":"The axiom of **propositional extensionality**. It asserts that if propositions\n`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),\nthen `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all\ncontexts.\n\nFor simple expressions like `a ∧ c ∨ d → e` we can prove that because all the logical\nconnectives respect logical equivalence, we can replace `a` with `b` in this expression\nwithout using `propext`. However, for higher order expressions like `P a` where\n`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`\nwithout an axiom which says exactly this.\n\nThis is a relatively uncontroversial axiom, which is intuitionistically valid.\nIt does however block computation when using `#reduce` to reduce proofs directly\n(which is not recommended), meaning that canonicity,\nthe property that all closed terms of type `Nat` normalize to numerals,\nfails to hold when this (or any) axiom is used:\n```\nset_option pp.proofs true\n\ndef foo : Nat := by\n have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩\n have := propext this ▸ (2 : Nat)\n exact this\n\n#reduce foo\n-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2\n\n#eval foo -- 2\n```\n`#eval` can evaluate it to a numeral because the compiler erases casts and\ndoes not evaluate proofs, so `propext`, whose return type is a proposition,\ncan never block it.\n"},"proofIrrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L525-L525","name":"proofIrrel","line":525,"kind":"theorem","docLink":"./Init/Core.html#proofIrrel","doc":""},"prioMid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L137-L137","name":"prioMid","line":137,"kind":"def","docLink":"./Init/Notation.html#prioMid","doc":"The standardized \"medium\" priority `mid = 500`. This is lower than `default`, and higher than `low`.\n"},"prioLow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L133-L133","name":"prioLow","line":133,"kind":"def","docLink":"./Init/Notation.html#prioLow","doc":"The standardized \"low\" priority `low = 100`, for things that should be lower than default priority. "},"prioHigh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L139-L139","name":"prioHigh","line":139,"kind":"def","docLink":"./Init/Notation.html#prioHigh","doc":"The standardized \"high\" priority `high = 10000`, for things that should be higher than default priority. "},"prioDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L131-L131","name":"prioDefault","line":131,"kind":"def","docLink":"./Init/Notation.html#prioDefault","doc":"The default priority `default = 1000`, which is used when no priority is set. "},"precMin1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L123-L123","name":"precMin1","line":123,"kind":"def","docLink":"./Init/Notation.html#precMin1","doc":"`(min+1)` (we can only write `min+1` after `Meta.lean`) "},"precMin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L121-L121","name":"precMin","line":121,"kind":"def","docLink":"./Init/Notation.html#precMin","doc":"Minimum precedence used in term parsers. "},"precMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L113-L113","name":"precMax","line":113,"kind":"def","docLink":"./Init/Notation.html#precMax","doc":"Maximum precedence used in term parsers, in particular for terms in\nfunction position (`ident`, `paren`, ...)\n"},"precLead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L117-L117","name":"precLead","line":117,"kind":"def","docLink":"./Init/Notation.html#precLead","doc":"Precedence used for terms not supposed to be used as arguments (`let`, `have`, ...). "},"precArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L115-L115","name":"precArg","line":115,"kind":"def","docLink":"./Init/Notation.html#precArg","doc":"Precedence used for application arguments (`do`, `by`, ...). "},"panicWithPosWithDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L42-L43","name":"panicWithPosWithDecl","line":42,"kind":"def","docLink":"./Init/Util.html#panicWithPosWithDecl","doc":""},"panicWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L36-L37","name":"panicWithPos","line":36,"kind":"def","docLink":"./Init/Util.html#panicWithPos","doc":""},"panicCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2428-L2428","name":"panicCore","line":2428,"kind":"def","docLink":"./Init/Prelude.html#panicCore","doc":"Auxiliary definition for `panic`. "},"panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2442-L2443","name":"panic","line":2442,"kind":"def","docLink":"./Init/Prelude.html#panic","doc":"`(panic \"msg\" : α)` has a built-in implementation which prints `msg` to\nthe error buffer. It *does not* terminate execution, and because it is a safe\nfunction, it still has to return an element of `α`, so it takes `[Inhabited α]`\nand returns `default`. It is primarily intended for debugging in pure contexts,\nand assertion failures.\n\nBecause this is a pure function with side effects, it is marked as\n`@[never_extract]` so that the compiler will not perform common sub-expression\nelimination and other optimizations that assume that the expression is pure.\n"},"pairMapM":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"pairBind":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"outUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"outParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L595-L595","name":"outParam","line":595,"kind":"def","docLink":"./Init/Prelude.html#outParam","doc":"Gadget for marking output parameters in type classes.\n\nFor example, the `Membership` class is defined as:\n```\nclass Membership (α : outParam (Type u)) (γ : Type v)\n```\nThis means that whenever a typeclass goal of the form `Membership ?α ?γ` comes\nup, lean will wait to solve it until `?γ` is known, but then it will run\ntypeclass inference, and take the first solution it finds, for any value of `?α`,\nwhich thereby determines what `?α` should be.\n\nThis expresses that in a term like `a ∈ s`, `s` might be a `Set α` or\n`List α` or some other type with a membership operation, and in each case\nthe \"member\" type `α` is determined by looking at the container type.\n"},"or_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L88-L88","name":"or_true","line":88,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_true","doc":""},"or_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L87-L87","name":"or_self","line":87,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_self","doc":""},"or_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L90-L90","name":"or_false","line":90,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_false","doc":""},"orM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L52-L56","name":"orM","line":52,"kind":"def","docLink":"./Init/Control/Basic.html#orM","doc":""},"or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L982-L985","name":"or","line":982,"kind":"def","docLink":"./Init/Prelude.html#or","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not 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supplied.\n"},"of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L12-L12","name":"of_eq_true","line":12,"kind":"theorem","docLink":"./Init/SimpLemmas.html#of_eq_true","doc":""},"of_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L855-L858","name":"of_decide_eq_true","line":855,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_true","doc":""},"of_decide_eq_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L865-L868","name":"of_decide_eq_self_eq_true","line":865,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_self_eq_true","doc":""},"of_decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L860-L863","name":"of_decide_eq_false","line":860,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_false","doc":""},"ofBoolUsing_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L709-L710","name":"ofBoolUsing_eq_true","line":709,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_true","doc":""},"ofBoolUsing_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L712-L713","name":"ofBoolUsing_eq_false","line":712,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_false","doc":""},"observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L162-L163","name":"observing","line":162,"kind":"def","docLink":"./Init/Control/Except.html#observing","doc":""},"not_not_intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L521-L522","name":"not_not_intro","line":521,"kind":"theorem","docLink":"./Init/Core.html#not_not_intro","doc":""},"not_false_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L100-L100","name":"not_false_eq_true","line":100,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_false_eq_true","doc":""},"not_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L519-L519","name":"not_false","line":519,"kind":"theorem","docLink":"./Init/Core.html#not_false","doc":""},"not_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L141-L141","name":"not_decide_eq_true","line":141,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_decide_eq_true","doc":""},"notM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L68-L69","name":"notM","line":68,"kind":"def","docLink":"./Init/Control/Basic.html#notM","doc":""},"not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1002-L1004","name":"not","line":1002,"kind":"def","docLink":"./Init/Prelude.html#not","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"nonempty_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L854-L855","name":"nonempty_of_exists","line":854,"kind":"theorem","docLink":"./Init/Core.html#nonempty_of_exists","doc":""},"noConfusionTypeEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L834-L837","name":"noConfusionTypeEnum","line":834,"kind":"def","docLink":"./Init/Core.html#noConfusionTypeEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"noConfusionEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L840-L845","name":"noConfusionEnum","line":840,"kind":"def","docLink":"./Init/Core.html#noConfusionEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"ne_true_of_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L583-L586","name":"ne_true_of_not","line":583,"kind":"theorem","docLink":"./Init/Core.html#ne_true_of_not","doc":""},"ne_true_of_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L655-L657","name":"ne_true_of_eq_false","line":655,"kind":"theorem","docLink":"./Init/Prelude.html#ne_true_of_eq_false","doc":""},"ne_of_beq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L601-L602","name":"ne_of_beq_false","line":601,"kind":"theorem","docLink":"./Init/Core.html#ne_of_beq_false","doc":""},"ne_false_of_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L580-L581","name":"ne_false_of_self","line":580,"kind":"theorem","docLink":"./Init/Core.html#ne_false_of_self","doc":""},"ne_false_of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L651-L653","name":"ne_false_of_eq_true","line":651,"kind":"theorem","docLink":"./Init/Prelude.html#ne_false_of_eq_true","doc":""},"ne_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L76-L76","name":"ne_eq","line":76,"kind":"theorem","docLink":"./Init/SimpLemmas.html#ne_eq","doc":""},"namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L622-L622","name":"namedPattern","line":622,"kind":"def","docLink":"./Init/Prelude.html#namedPattern","doc":"Auxiliary declaration used to implement named patterns like `x@h:p`. "},"mt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L516-L517","name":"mt","line":516,"kind":"theorem","docLink":"./Init/Core.html#mt","doc":""},"monadLift_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L13-L14","name":"monadLift_self","line":13,"kind":"theorem","docLink":"./Init/Control/Lawful.html#monadLift_self","doc":""},"monadFunctorRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2837-L2838","name":"monadFunctorRefl","line":2837,"kind":"instance","docLink":"./Init/Prelude.html#monadFunctorRefl","doc":""},"modifyThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3122-L3123","name":"modifyThe","line":3122,"kind":"def","docLink":"./Init/Prelude.html#modifyThe","doc":"Like `modify`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modifyGetThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3130-L3131","name":"modifyGetThe","line":3130,"kind":"def","docLink":"./Init/Prelude.html#modifyGetThe","doc":"Like `modifyGet`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3161-L3162","name":"modify","line":3161,"kind":"def","docLink":"./Init/Prelude.html#modify","doc":"`modify (f : σ → σ)` applies the function `f` to the state.\n\nIt is equivalent to `do put (f (← get))`, but `modify f` may be preferable\nbecause the former does not use the state linearly (without sufficient inlining).\n"},"mkStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L73-L77","name":"mkStdGen","line":73,"kind":"def","docLink":"./Init/Data/Random.html#mkStdGen","doc":"Return a standard number generator. 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This can make a\ndifference for typeclass inference, since `T` and `T'` may have different\ntypeclass instances on them. `show T' from e` is sugar for an `@id T' e`\nexpression.\n"},"hexDigitRepr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L177-L178","name":"hexDigitRepr","line":177,"kind":"def","docLink":"./Init/Data/Repr.html#hexDigitRepr","doc":""},"heq_of_heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L633-L634","name":"heq_of_heq_of_eq","line":633,"kind":"theorem","docLink":"./Init/Core.html#heq_of_heq_of_eq","doc":""},"heq_of_eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L636-L637","name":"heq_of_eq_of_heq","line":636,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq_of_heq","doc":""},"heq_of_eqRec_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L647-L650","name":"heq_of_eqRec_eq","line":647,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eqRec_eq","doc":""},"heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L627-L628","name":"heq_of_eq","line":627,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq","doc":""},"heq_eq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L143-L143","name":"heq_eq_eq","line":143,"kind":"theorem","docLink":"./Init/SimpLemmas.html#heq_eq_eq","doc":""},"hash64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Hashable.lean#L63-L64","name":"hash64","line":63,"kind":"def","docLink":"./Init/Data/Hashable.html#hash64","doc":"An opaque (low-level) hash operation used to implement hashing for pointers. "},"guard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L33-L34","name":"guard","line":33,"kind":"def","docLink":"./Init/Control/Basic.html#guard","doc":""},"getThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3114-L3115","name":"getThe","line":3114,"kind":"def","docLink":"./Init/Prelude.html#getThe","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"getModify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3169-L3170","name":"getModify","line":3169,"kind":"def","docLink":"./Init/Prelude.html#getModify","doc":"`getModify f` gets the state, applies function `f`, and returns the old value\nof the state. It is equivalent to `get <* modify f` but may be more efficient.\n"},"getElem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L83-L84","name":"getElem?","line":83,"kind":"def","docLink":"./Init/Util.html#getElem?","doc":""},"getElem!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L80-L81","name":"getElem!","line":80,"kind":"def","docLink":"./Init/Util.html#getElem!","doc":""},"funext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1555-L1563","name":"funext","line":1555,"kind":"theorem","docLink":"./Init/Core.html#funext","doc":"**Function extensionality** is the statement that if two functions take equal values\nevery point, then the functions themselves are equal: `(∀ x, f x = g x) → f = g`.\nIt is called \"extensionality\" because it talks about how to prove two objects are equal\nbased on the properties of the object (compare with set extensionality,\nwhich is `(∀ x, x ∈ s ↔ x ∈ t) → s = t`).\n\nThis is often an axiom in dependent type theory systems, because it cannot be proved\nfrom the core logic alone. However in lean's type theory this follows from the existence\nof quotient types (note the `Quot.sound` in the proof, as well as the `show` line\nwhich makes use of the definitional equality `Quot.lift f h (Quot.mk x) = f x`).\n"},"forall_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L41-L42","name":"forall_congr","line":41,"kind":"theorem","docLink":"./Init/SimpLemmas.html#forall_congr","doc":""},"floatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L20-L27","name":"floatSpec","line":20,"kind":"opaque","docLink":"./Init/Data/Float.html#floatSpec","doc":""},"floatDecLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L69-L69","name":"floatDecLt","line":69,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLt","doc":""},"floatDecLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L70-L70","name":"floatDecLe","line":70,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLe","doc":""},"flip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L28-L29","name":"flip","line":28,"kind":"def","docLink":"./Init/Core.html#flip","doc":"`flip f a b` is `f b a`. It is useful for \"point-free\" programming,\nsince it can sometimes be used to avoid introducing variables.\nFor example, `(·<·)` is the less-than relation,\nand `flip (·<·)` is the greater-than relation.\n"},"false_or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L91-L91","name":"false_or","line":91,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_or","doc":""},"false_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L578-L578","name":"false_of_ne","line":578,"kind":"theorem","docLink":"./Init/Core.html#false_of_ne","doc":""},"false_implies":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L97-L97","name":"false_implies","line":97,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_implies","doc":""},"false_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L96-L96","name":"false_iff","line":96,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_iff","doc":""},"false_and":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L86-L86","name":"false_and","line":86,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_and","doc":""},"example_macro_3_1":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"example_macro_3_0":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"example_macro_3":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"example_macro_2":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"example_macro_1":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"ex_of_PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1049-L1050","name":"ex_of_PSigma","line":1049,"kind":"theorem","docLink":"./Init/Core.html#ex_of_PSigma","doc":""},"eval":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"eq_true_of_ne_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L647-L649","name":"eq_true_of_ne_false","line":647,"kind":"theorem","docLink":"./Init/Prelude.html#eq_true_of_ne_false","doc":""},"eq_true_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L22-L23","name":"eq_true_of_decide","line":22,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true_of_decide","doc":""},"eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L14-L15","name":"eq_true","line":14,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true","doc":""},"eq_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L28-L28","name":"eq_self","line":28,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_self","doc":""},"eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L451-L455","name":"eq_of_heq","line":451,"kind":"theorem","docLink":"./Init/Prelude.html#eq_of_heq","doc":""},"eq_false_of_ne_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L643-L645","name":"eq_false_of_ne_true","line":643,"kind":"theorem","docLink":"./Init/Prelude.html#eq_false_of_ne_true","doc":""},"eq_false_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L25-L26","name":"eq_false_of_decide","line":25,"kind":"theorem","docLink":"./Init/SimpLem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"},"dsl_op2Map2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"dsl_op2Fill2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"dsl_op2Extract2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"dite_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L79-L79","name":"dite_true","line":79,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_true","doc":""},"dite_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L80-L80","name":"dite_false","line":80,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_false","doc":""},"dite_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L66-L74","name":"dite_congr","line":66,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_congr","doc":""},"dite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L913-L914","name":"dite","line":913,"kind":"def","docLink":"./Init/Prelude.html#dite","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"dif_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L807-L810","name":"dif_pos","line":807,"kind":"theorem","docLink":"./Init/Core.html#dif_pos","doc":""},"dif_neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L812-L815","name":"dif_neg","line":812,"kind":"theorem","docLink":"./Init/Core.html#dif_neg","doc":""},"dif_eq_if":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L818-L821","name":"dif_eq_if","line":818,"kind":"theorem","docLink":"./Init/Core.html#dif_eq_if","doc":""},"default.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L41-L42","name":"default.sizeOf","line":41,"kind":"def","docLink":"./Init/SizeOf.html#default.sizeOf","doc":"Every type `α` has a default `SizeOf` instance that just returns `0`\nfor every element of `α`.\n"},"decide_true_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L692-L695","name":"decide_true_eq_true","line":692,"kind":"theorem","docLink":"./Init/Core.html#decide_true_eq_true","doc":""},"decide_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L140-L140","name":"decide_not","line":140,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_not","doc":""},"decide_false_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L697-L700","name":"decide_false_eq_false","line":697,"kind":"theorem","docLink":"./Init/Core.html#decide_false_eq_false","doc":""},"decide_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L139-L139","name":"decide_eq_true_eq","line":139,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_eq_true_eq","doc":""},"decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L847-L849","name":"decide_eq_true","line":847,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_true","doc":""},"decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L851-L853","name":"decide_eq_false","line":851,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_false","doc":""},"decide_True":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L158-L158","name":"decide_True","line":158,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_True","doc":""},"decide_False":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L157-L157","name":"decide_False","line":157,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_False","doc":""},"decidable_of_decidable_of_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L759-L763","name":"decidable_of_decidable_of_iff","line":759,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_iff","doc":"Transfer a decidability proof across an equivalence of propositions. "},"decidable_of_decidable_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L766-L767","name":"decidable_of_decidable_of_eq","line":766,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_eq","doc":"Transfer a decidability proof across an equality of propositions. "},"decPropToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L301-L302","name":"decPropToBool","line":301,"kind":"instance","docLink":"./Init/Coe.html#decPropToBool","doc":""},"decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L843-L844","name":"decEq","line":843,"kind":"def","docLink":"./Init/Prelude.html#decEq","doc":"Proves that `a = b` is decidable given `DecidableEq α`. "},"dbgTraceVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L18-L19","name":"dbgTraceVal","line":18,"kind":"def","docLink":"./Init/Util.html#dbgTraceVal","doc":""},"dbgTraceIfShared":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L24-L24","name":"dbgTraceIfShared","line":24,"kind":"def","docLink":"./Init/Util.html#dbgTraceIfShared","doc":"Display the given message if `a` is shared, that is, RC(a) > 1 "},"dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L16-L16","name":"dbgTrace","line":16,"kind":"def","docLink":"./Init/Util.html#dbgTrace","doc":""},"dbgStackTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L28-L28","name":"dbgStackTrace","line":28,"kind":"def","docLink":"./Init/Util.html#dbgStackTrace","doc":"Print stack trace to stderr before evaluating given closure. Currently supported on Linux only. "},"dbgSleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L31-L31","name":"dbgSleep","line":31,"kind":"def","docLink":"./Init/Util.html#dbgSleep","doc":""},"controlAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L214-L216","name":"controlAt","line":214,"kind":"def","docLink":"./Init/Control/Basic.html#controlAt","doc":""},"control":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L219-L221","name":"control","line":219,"kind":"def","docLink":"./Init/Control/Basic.html#control","doc":""},"const":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"congrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L363-L364","name":"congrFun","line":363,"kind":"theorem","docLink":"./Init/Prelude.html#congrFun","doc":"Congruence in the function part of an application: If `f = g` then `f a = g a`. "},"congrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L349-L350","name":"congrArg","line":349,"kind":"theorem","docLink":"./Init/Prelude.html#congrArg","doc":"Congruence in the function argument: if `a₁ = a₂` then `f a₁ = f a₂` for\nany (nondependent) function `f`. This is more powerful than it might look at first, because\nyou can also use a lambda expression for `f` to prove that\n` = `. This function is used\ninternally by tactics like `congr` and `simp` to apply equalities inside\nsubterms.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L359-L360","name":"congr","line":359,"kind":"theorem","docLink":"./Init/Prelude.html#congr","doc":"Congruence in both function and argument. If `f₁ = f₂` and `a₁ = a₂` then\n`f₁ a₁ = f₂ a₂`. This only works for nondependent functions; the theorem\nstatement is more complex in the dependent case.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"cond_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L145-L145","name":"cond_true","line":145,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_true","doc":""},"cond_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L146-L146","name":"cond_false","line":146,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_false","doc":""},"cond":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L971-L974","name":"cond","line":971,"kind":"def","docLink":"./Init/Prelude.html#cond","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"compareOfLessAndEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L21-L24","name":"compareOfLessAndEq","line":21,"kind":"def","docLink":"./Init/Data/Ord.html#compareOfLessAndEq","doc":""},"coeNotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L284-L291","name":"coeNotation","line":284,"kind":"def","docLink":"./Init/Coe.html#coeNotation","doc":"`↑x` represents a coercion, which converts `x` of type `α` to type `β`, using\ntypeclasses to resolve a suitable conversion function. You can often leave the\n`↑` off entirely, since coercion is triggered implicitly whenever there is a\ntype error, but in ambiguous cases it can be useful to use `↑` to disambiguate\nbetween e.g. `↑x + ↑y` and `↑(x + y)`.\n"},"cdotTk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L376-L376","name":"cdotTk","line":376,"kind":"def","docLink":"./Init/NotationExtra.html#cdotTk","doc":""},"cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L377-L378","name":"cdot","line":377,"kind":"def","docLink":"./Init/NotationExtra.html#cdot","doc":"`· tac` focuses on the main goal and tries to solve it using `tac`, or else fails. "},"cast_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L652-L653","name":"cast_heq","line":652,"kind":"theorem","docLink":"./Init/Core.html#cast_heq","doc":""},"cast_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L553-L554","name":"cast_eq","line":553,"kind":"theorem","docLink":"./Init/Core.html#cast_eq","doc":""},"cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L336-L337","name":"cast","line":336,"kind":"def","docLink":"./Init/Prelude.html#cast","doc":"Cast across a type equality. If `h : α = β` is an equality of types, and\n`a : α`, then `a : β` will usually not typecheck directly, but this function\nwill allow you to work around this and embed `a` in type `β` as `cast h a : β`.\n\nIt is best to avoid this function if you can, because it is more complicated\nto reason about terms containing casts, but if the types don't match up\ndefinitionally sometimes there isn't anything better you can do.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"calcTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L134-L171","name":"calcTactic","line":134,"kind":"def","docLink":"./Init/NotationExtra.html#calcTactic","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the tactic mode variant,\nwhich supports an additional feature: it works even if the goal is `a = z'`\nfor some other `z'`; in this case it will not close the goal but will instead\nleave a subgoal proving `z = z'`.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"calcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L95-L95","name":"calcSteps","line":95,"kind":"def","docLink":"./Init/NotationExtra.html#calcSteps","doc":""},"calcStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L94-L94","name":"calcStep","line":94,"kind":"def","docLink":"./Init/NotationExtra.html#calcStep","doc":""},"calcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L92-L92","name":"calcFirstStep","line":92,"kind":"def","docLink":"./Init/NotationExtra.html#calcFirstStep","doc":""},"calc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L97-L132","name":"calc","line":97,"kind":"def","docLink":"./Init/NotationExtra.html#calc","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols, especially on longer:\nidentifiers:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the term mode variant.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"boolToSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L298-L299","name":"boolToSort","line":298,"kind":"instance","docLink":"./Init/Coe.html#boolToSort","doc":""},"boolToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L295-L296","name":"boolToProp","line":295,"kind":"instance","docLink":"./Init/Coe.html#boolToProp","doc":""},"boolIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L410-L412","name":"boolIfThenElse","line":410,"kind":"def","docLink":"./Init/Notation.html#boolIfThenElse","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L47-L50","name":"bool","line":47,"kind":"def","docLink":"./Init/Control/Basic.html#bool","doc":""},"bne_self_eq_false'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L152-L152","name":"bne_self_eq_false'","line":152,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false'","doc":""},"bne_self_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L151-L151","name":"bne_self_eq_false","line":151,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false","doc":""},"bne_iff_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L160-L161","name":"bne_iff_ne","line":160,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_iff_ne","doc":""},"bne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L482-L483","name":"bne","line":482,"kind":"def","docLink":"./Init/Core.html#bne","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming 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follows from two contradictory hypotheses. 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size of type `UInt16`, that is, `2^System.Platform.numBits`, which may\nbe either `2^32` or `2^64` depending on the platform's architecture.\n"},"USize.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L316-L316","name":"USize.shiftRight","line":316,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftRight","doc":""},"USize.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L314-L314","name":"USize.shiftLeft","line":314,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftLeft","doc":""},"USize.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2001-L2003","name":"USize.ofNatCore","line":2001,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNatCore","doc":"Pack a `Nat` less than `USize.size` into a `USize`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2029-L2035","name":"USize.ofNat32","line":2029,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNat32","doc":"Upcast a `Nat` less than `2^32` to a `USize`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L291-L291","name":"USize.ofNat","line":291,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.ofNat","doc":""},"USize.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L300-L300","name":"USize.mul","line":300,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mul","doc":""},"USize.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L362-L363","name":"USize.modn_lt","line":362,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#USize.modn_lt","doc":""},"USize.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L306-L306","name":"USize.modn","line":306,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.modn","doc":""},"USize.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L304-L304","name":"USize.mod","line":304,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mod","doc":""},"USize.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"USize.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#USize.mk","doc":""},"USize.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L322-L322","name":"USize.lt","line":322,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lt","doc":""},"USize.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L310-L310","name":"USize.lor","line":310,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lor","doc":""},"USize.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L22-L22","name":"USize.log2","line":22,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#USize.log2","doc":""},"USize.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L323-L323","name":"USize.le","line":323,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.le","doc":""},"USize.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L308-L308","name":"USize.land","line":308,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.land","doc":""},"USize.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L302-L302","name":"USize.div","line":302,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.div","doc":""},"USize.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L347-L349","name":"USize.decLt","line":347,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLt","doc":""},"USize.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L353-L355","name":"USize.decLe","line":353,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLe","doc":""},"USize.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2011-L2014","name":"USize.decEq","line":2011,"kind":"def","docLink":"./Init/Prelude.html#USize.decEq","doc":"Decides equality on `USize`.\nThis function is overridden with a native implementation.\n"},"USize.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L336-L336","name":"USize.complement","line":336,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.complement","doc":""},"USize.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L296-L296","name":"USize.add","line":296,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.add","doc":""},"USize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1988-L1991","name":"USize","line":1988,"kind":"structure","docLink":"./Init/Prelude.html#USize","doc":"A `USize` is an unsigned integer with the size of a word\nfor the platform's architecture.\n\nFor example, if running on a 32-bit machine, USize is equivalent to UInt32.\nOr on a 64-bit machine, UInt64.\n"},"ULift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L791-L791","name":"ULift.up_down","line":791,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.up_down","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L787-L787","name":"ULift.up","line":787,"kind":"ctor","docLink":"./Init/Prelude.html#ULift.up","doc":"Lift a value into `ULift α` "},"ULift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L794-L794","name":"ULift.down_up","line":794,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.down_up","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L788-L788","name":"ULift.down","line":788,"kind":"def","docLink":"./Init/Prelude.html#ULift.down","doc":"Extract a value from `ULift α` "},"ULift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L786-L788","name":"ULift","line":786,"kind":"structure","docLink":"./Init/Prelude.html#ULift","doc":"Universe lifting operation from a lower `Type` universe to a higher one.\nTo express this using level variables, the input is `Type s` and the output is\n`Type (max s r)`, so if `s ≤ r` then the latter is (definitionally) `Type r`.\n\nThe universe variable `r` is written first so that `ULift.{r} α` can be used\nwhen `s` can be inferred from the type of `α`.\n"},"UInt8.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L34-L34","name":"UInt8.xor","line":34,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.xor","doc":""},"UInt8.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1786-L1786","name":"UInt8.val","line":1786,"kind":"def","docLink":"./Init/Prelude.html#UInt8.val","doc":"Unpack a `UInt8` as a `Nat` less than `2^8`.\nThis function is overridden with a native implementation. "},"UInt8.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L241-L241","name":"UInt8.toUInt64","line":241,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt64","doc":""},"UInt8.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L183-L183","name":"UInt8.toUInt32","line":183,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt32","doc":""},"UInt8.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L107-L107","name":"UInt8.toUInt16","line":107,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt16","doc":""},"UInt8.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L16-L16","name":"UInt8.toNat","line":16,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toNat","doc":""},"UInt8.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L20-L20","name":"UInt8.sub","line":20,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.sub","doc":""},"UInt8.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L14-L15","name":"UInt8.sizeOf","line":14,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt8.sizeOf","doc":""},"UInt8.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1777-L1777","name":"UInt8.size","line":1777,"kind":"def","docLink":"./Init/Prelude.html#UInt8.size","doc":"The size of type `UInt8`, that is, `2^8 = 256`. "},"UInt8.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L38-L38","name":"UInt8.shiftRight","line":38,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftRight","doc":""},"UInt8.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L36-L36","name":"UInt8.shiftLeft","line":36,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftLeft","doc":""},"UInt8.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1796-L1797","name":"UInt8.ofNatCore","line":1796,"kind":"def","docLink":"./Init/Prelude.html#UInt8.ofNatCore","doc":"Pack a `Nat` less than `2^8` into a `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L13-L13","name":"UInt8.ofNat","line":13,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.ofNat","doc":""},"UInt8.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L22-L22","name":"UInt8.mul","line":22,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mul","doc":""},"UInt8.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L28-L28","name":"UInt8.modn","line":28,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.modn","doc":""},"UInt8.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L26-L26","name":"UInt8.mod","line":26,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mod","doc":""},"UInt8.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt8.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt8.mk","doc":""},"UInt8.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L39-L39","name":"UInt8.lt","line":39,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lt","doc":""},"UInt8.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L32-L32","name":"UInt8.lor","line":32,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lor","doc":""},"UInt8.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L10-L10","name":"UInt8.log2","line":10,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt8.log2","doc":""},"UInt8.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L40-L40","name":"UInt8.le","line":40,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.le","doc":""},"UInt8.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L30-L30","name":"UInt8.land","line":30,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.land","doc":""},"UInt8.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L24-L24","name":"UInt8.div","line":24,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.div","doc":""},"UInt8.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L64-L66","name":"UInt8.decLt","line":64,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLt","doc":""},"UInt8.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L70-L72","name":"UInt8.decLe","line":70,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLe","doc":""},"UInt8.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1805-L1808","name":"UInt8.decEq","line":1805,"kind":"def","docLink":"./Init/Prelude.html#UInt8.decEq","doc":"Decides equality on `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L53-L53","name":"UInt8.complement","line":53,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.complement","doc":""},"UInt8.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L18-L18","name":"UInt8.add","line":18,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.add","doc":""},"UInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1783-L1786","name":"UInt8","line":1783,"kind":"structure","docLink":"./Init/Prelude.html#UInt8","doc":"The type of unsigned 8-bit integers. This type has special support in the\ncompiler to make it actually 8 bits rather than wrapping a `Nat`.\n"},"UInt64.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L227-L227","name":"UInt64.xor","line":227,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.xor","doc":""},"UInt64.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1940-L1940","name":"UInt64.val","line":1940,"kind":"def","docLink":"./Init/Prelude.html#UInt64.val","doc":"Unpack a `UInt64` as a `Nat` less than `2^64`.\nThis function is overridden with a native implementation. "},"UInt64.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3355-L3355","name":"UInt64.toUSize","line":3355,"kind":"opaque","docLink":"./Init/Prelude.html#UInt64.toUSize","doc":"Converts a `UInt64` to a `USize` by reducing modulo `USize.size`. "},"UInt64.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L235-L235","name":"UInt64.toUInt8","line":235,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt8","doc":""},"UInt64.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L239-L239","name":"UInt64.toUInt32","line":239,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt32","doc":""},"UInt64.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L237-L237","name":"UInt64.toUInt16","line":237,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt16","doc":""},"UInt64.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L209-L209","name":"UInt64.toNat","line":209,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toNat","doc":""},"UInt64.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L107-L107","name":"UInt64.toFloat","line":107,"kind":"opaque","docLink":"./Init/Data/Float.html#UInt64.toFloat","doc":""},"UInt64.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L213-L213","name":"UInt64.sub","line":213,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.sub","doc":""},"UInt64.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L23-L24","name":"UInt64.sizeOf","line":23,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt64.sizeOf","doc":""},"UInt64.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1932-L1932","name":"UInt64.size","line":1932,"kind":"def","docLink":"./Init/Prelude.html#UInt64.size","doc":"The size of type `UInt64`, that is, `2^64 = 18446744073709551616`. "},"UInt64.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L231-L231","name":"UInt64.shiftRight","line":231,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftRight","doc":""},"UInt64.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L229-L229","name":"UInt64.shiftLeft","line":229,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftLeft","doc":""},"UInt64.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1950-L1951","name":"UInt64.ofNatCore","line":1950,"kind":"def","docLink":"./Init/Prelude.html#UInt64.ofNatCore","doc":"Pack a `Nat` less than `2^64` into a `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L206-L206","name":"UInt64.ofNat","line":206,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.ofNat","doc":""},"UInt64.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L215-L215","name":"UInt64.mul","line":215,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mul","doc":""},"UInt64.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L221-L221","name":"UInt64.modn","line":221,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.modn","doc":""},"UInt64.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L219-L219","name":"UInt64.mod","line":219,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mod","doc":""},"UInt64.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt64.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt64.mk","doc":""},"UInt64.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L232-L232","name":"UInt64.lt","line":232,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lt","doc":""},"UInt64.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L225-L225","name":"UInt64.lor","line":225,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lor","doc":""},"UInt64.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L19-L19","name":"UInt64.log2","line":19,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt64.log2","doc":""},"UInt64.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L233-L233","name":"UInt64.le","line":233,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.le","doc":""},"UInt64.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L223-L223","name":"UInt64.land","line":223,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.land","doc":""},"UInt64.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L217-L217","name":"UInt64.div","line":217,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.div","doc":""},"UInt64.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L272-L274","name":"UInt64.decLt","line":272,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLt","doc":""},"UInt64.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L278-L280","name":"UInt64.decLe","line":278,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLe","doc":""},"UInt64.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1959-L1962","name":"UInt64.decEq","line":1959,"kind":"def","docLink":"./Init/Prelude.html#UInt64.decEq","doc":"Decides equality on `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L258-L258","name":"UInt64.complement","line":258,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.complement","doc":""},"UInt64.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L211-L211","name":"UInt64.add","line":211,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.add","doc":""},"UInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1937-L1940","name":"UInt64","line":1937,"kind":"structure","docLink":"./Init/Prelude.html#UInt64","doc":"The type of unsigned 64-bit integers. This type has special support in the\ncompiler to make it actually 64 bits rather than wrapping a `Nat`.\n"},"UInt32.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L173-L173","name":"UInt32.xor","line":173,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.xor","doc":""},"UInt32.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1864-L1864","name":"UInt32.val","line":1864,"kind":"def","docLink":"./Init/Prelude.html#UInt32.val","doc":"Unpack a `UInt32` as a `Nat` less than `2^32`.\nThis function is overridden with a native implementation. "},"UInt32.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L318-L318","name":"UInt32.toUSize","line":318,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUSize","doc":""},"UInt32.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L179-L179","name":"UInt32.toUInt8","line":179,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt8","doc":""},"UInt32.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L245-L245","name":"UInt32.toUInt64","line":245,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt64","doc":""},"UInt32.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L181-L181","name":"UInt32.toUInt16","line":181,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt16","doc":""},"UInt32.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1882-L1882","name":"UInt32.toNat","line":1882,"kind":"def","docLink":"./Init/Prelude.html#UInt32.toNat","doc":"Unpack a `UInt32` as a `Nat`.\nThis function is overridden with a native implementation.\n"},"UInt32.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L159-L159","name":"UInt32.sub","line":159,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.sub","doc":""},"UInt32.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L20-L21","name":"UInt32.sizeOf","line":20,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt32.sizeOf","doc":""},"UInt32.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1855-L1855","name":"UInt32.size","line":1855,"kind":"def","docLink":"./Init/Prelude.html#UInt32.size","doc":"The size of type `UInt32`, that is, `2^32 = 4294967296`. "},"UInt32.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L177-L177","name":"UInt32.shiftRight","line":177,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftRight","doc":""},"UInt32.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L175-L175","name":"UInt32.shiftLeft","line":175,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftLeft","doc":""},"UInt32.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1874-L1875","name":"UInt32.ofNatCore","line":1874,"kind":"def","docLink":"./Init/Prelude.html#UInt32.ofNatCore","doc":"Pack a `Nat` less than `2^32` into a `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L154-L154","name":"UInt32.ofNat'","line":154,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat'","doc":""},"UInt32.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L152-L152","name":"UInt32.ofNat","line":152,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat","doc":""},"UInt32.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L161-L161","name":"UInt32.mul","line":161,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mul","doc":""},"UInt32.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L167-L167","name":"UInt32.modn","line":167,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.modn","doc":""},"UInt32.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L165-L165","name":"UInt32.mod","line":165,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mod","doc":""},"UInt32.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt32.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt32.mk","doc":""},"UInt32.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L171-L171","name":"UInt32.lor","line":171,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.lor","doc":""},"UInt32.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L16-L16","name":"UInt32.log2","line":16,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt32.log2","doc":""},"UInt32.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L169-L169","name":"UInt32.land","line":169,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.land","doc":""},"UInt32.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2048-L2049","name":"UInt32.isValidChar","line":2048,"kind":"def","docLink":"./Init/Prelude.html#UInt32.isValidChar","doc":"A `UInt32` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"UInt32.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L163-L163","name":"UInt32.div","line":163,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.div","doc":""},"UInt32.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1912-L1914","name":"UInt32.decLt","line":1912,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLt","doc":"Decides less-equal on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1922-L1924","name":"UInt32.decLe","line":1922,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLe","doc":"Decides less-than on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1890-L1893","name":"UInt32.decEq","line":1890,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decEq","doc":"Decides equality on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L196-L196","name":"UInt32.complement","line":196,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.complement","doc":""},"UInt32.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L157-L157","name":"UInt32.add","line":157,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.add","doc":""},"UInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1861-L1864","name":"UInt32","line":1861,"kind":"structure","docLink":"./Init/Prelude.html#UInt32","doc":"The type of unsigned 32-bit integers. This type has special support in the\ncompiler to make it actually 32 bits rather than wrapping a `Nat`.\n"},"UInt16.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L101-L101","name":"UInt16.xor","line":101,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.xor","doc":""},"UInt16.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1825-L1825","name":"UInt16.val","line":1825,"kind":"def","docLink":"./Init/Prelude.html#UInt16.val","doc":"Unpack a `UInt16` as a `Nat` less than `2^16`.\nThis function is overridden with a native implementation. "},"UInt16.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L105-L105","name":"UInt16.toUInt8","line":105,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt8","doc":""},"UInt16.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L243-L243","name":"UInt16.toUInt64","line":243,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt64","doc":""},"UInt16.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L185-L185","name":"UInt16.toUInt32","line":185,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt32","doc":""},"UInt16.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L83-L83","name":"UInt16.toNat","line":83,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toNat","doc":""},"UInt16.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L87-L87","name":"UInt16.sub","line":87,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.sub","doc":""},"UInt16.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L17-L18","name":"UInt16.sizeOf","line":17,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt16.sizeOf","doc":""},"UInt16.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1816-L1816","name":"UInt16.size","line":1816,"kind":"def","docLink":"./Init/Prelude.html#UInt16.size","doc":"The size of type `UInt16`, that is, `2^16 = 65536`. "},"UInt16.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L109-L109","name":"UInt16.shiftRight","line":109,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftRight","doc":""},"UInt16.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L103-L103","name":"UInt16.shiftLeft","line":103,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftLeft","doc":""},"UInt16.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1835-L1836","name":"UInt16.ofNatCore","line":1835,"kind":"def","docLink":"./Init/Prelude.html#UInt16.ofNatCore","doc":"Pack a `Nat` less than `2^16` into a `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L80-L80","name":"UInt16.ofNat","line":80,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.ofNat","doc":""},"UInt16.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L89-L89","name":"UInt16.mul","line":89,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mul","doc":""},"UInt16.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L95-L95","name":"UInt16.modn","line":95,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.modn","doc":""},"UInt16.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L93-L93","name":"UInt16.mod","line":93,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mod","doc":""},"UInt16.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt16.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt16.mk","doc":""},"UInt16.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L110-L110","name":"UInt16.lt","line":110,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lt","doc":""},"UInt16.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L99-L99","name":"UInt16.lor","line":99,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lor","doc":""},"UInt16.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L13-L13","name":"UInt16.log2","line":13,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt16.log2","doc":""},"UInt16.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L111-L111","name":"UInt16.le","line":111,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.le","doc":""},"UInt16.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L97-L97","name":"UInt16.land","line":97,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.land","doc":""},"UInt16.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L91-L91","name":"UInt16.div","line":91,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.div","doc":""},"UInt16.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L136-L138","name":"UInt16.decLt","line":136,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLt","doc":""},"UInt16.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L142-L144","name":"UInt16.decLe","line":142,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLe","doc":""},"UInt16.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1844-L1847","name":"UInt16.decEq","line":1844,"kind":"def","docLink":"./Init/Prelude.html#UInt16.decEq","doc":"Decides equality on `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L125-L125","name":"UInt16.complement","line":125,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.complement","doc":""},"UInt16.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L85-L85","name":"UInt16.add","line":85,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.add","doc":""},"UInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1822-L1825","name":"UInt16","line":1822,"kind":"structure","docLink":"./Init/Prelude.html#UInt16","doc":"The type of unsigned 16-bit integers. This type has special support in the\ncompiler to make it actually 16 bits rather than wrapping a `Nat`.\n"},"TypeName.typeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L54-L54","name":"TypeName.typeName","line":54,"kind":"opaque","docLink":"./Init/Dynamic.html#TypeName.typeName","doc":"Returns a declaration name of the type.\n"},"TypeName.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L44-L45","name":"TypeName.mk","line":44,"kind":"def","docLink":"./Init/Dynamic.html#TypeName.mk","doc":"Creates a `TypeName` instance.\n\nFor safety, it is required that the constant `typeName` is definitionally equal\nto `α`.\n"},"TypeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L33-L34","name":"TypeName","line":33,"kind":"class","docLink":"./Init/Dynamic.html#TypeName","doc":"Dynamic type name information.\nTypes with an instance of `TypeName` can be stored in an `Dynamic`.\nThe type class contains the declaration name of the type,\nwhich must not have any universe parameters\nand be of type `Sort ..` (i.e., monomorphic).\n\nThe preferred way to declare instances of this type is using the derive\nhandler, which will internally use the unsafe `TypeName.mk` function.\n\nMorally, this is the same as:\n```lean\nclass TypeName (α : Type) where unsafe mk ::\n typeName : Name\n```\n"},"True.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L177-L179","name":"True.intro","line":177,"kind":"ctor","docLink":"./Init/Prelude.html#True.intro","doc":"`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. "},"True":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L176-L179","name":"True","line":176,"kind":"inductive","docLink":"./Init/Prelude.html#True","doc":"`True` is a proposition and has only an introduction rule, `True.intro : True`.\nIn other words, `True` is simply true, and has a canonical proof, `True.intro`\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Trans.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1124-L1124","name":"Trans.trans","line":1124,"kind":"def","docLink":"./Init/Prelude.html#Trans.trans","doc":"Compose two proofs by transitivity, generalized over the relations involved. "},"Trans.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1122-L1122","name":"Trans.mk","line":1122,"kind":"ctor","docLink":"./Init/Prelude.html#Trans.mk","doc":""},"Trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1122-L1124","name":"Trans","line":1122,"kind":"class","docLink":"./Init/Prelude.html#Trans","doc":"Transitive chaining of proofs, used e.g. by `calc`.\n\nIt takes two relations `r` and `s` as \"input\", and produces an \"output\"\nrelation `t`, with the property that `r a b` and `s b c` implies `t a c`.\nThe `calc` tactic uses this so that when it sees a chain with `a ≤ b` and `b < c`\nit knows that this should be a proof of `a < c` because there is an instance\n`Trans (·≤·) (·<·) (·<·)`.\n"},"ToString.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L20-L20","name":"ToString.toString","line":20,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#ToString.toString","doc":""},"ToString.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L19-L19","name":"ToString.mk","line":19,"kind":"ctor","docLink":"./Init/Data/ToString/Basic.html#ToString.mk","doc":""},"ToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L19-L20","name":"ToString","line":19,"kind":"class","docLink":"./Init/Data/ToString/Basic.html#ToString","doc":""},"ToStream.toStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L44-L44","name":"ToStream.toStream","line":44,"kind":"def","docLink":"./Init/Data/Stream.html#ToStream.toStream","doc":""},"ToStream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L43-L43","name":"ToStream.mk","line":43,"kind":"ctor","docLink":"./Init/Data/Stream.html#ToStream.mk","doc":""},"ToStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L43-L44","name":"ToStream","line":43,"kind":"class","docLink":"./Init/Data/Stream.html#ToStream","doc":"Streams are used to implement parallel `for` statements.\nExample:\n```\nfor x in xs, y in ys do\n ...\n```\nis expanded into\n```\nlet mut s := toStream ys\nfor x in xs do\n match Stream.next? s with\n | none => break\n | some (y, s') =>\n s := s'\n ...\n```\n"},"ToBool.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L40-L40","name":"ToBool.toBool","line":40,"kind":"def","docLink":"./Init/Control/Basic.html#ToBool.toBool","doc":""},"ToBool.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L39-L39","name":"ToBool.mk","line":39,"kind":"ctor","docLink":"./Init/Control/Basic.html#ToBool.mk","doc":""},"ToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L39-L40","name":"ToBool","line":39,"kind":"class","docLink":"./Init/Control/Basic.html#ToBool","doc":""},"Thunk.sizeOf_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L70-L71","name":"Thunk.sizeOf_eq","line":70,"kind":"theorem","docLink":"./Init/Core.html#Thunk.sizeOf_eq","doc":""},"Thunk.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L51-L52","name":"Thunk.pure","line":51,"kind":"def","docLink":"./Init/Core.html#Thunk.pure","doc":"Store a value in a thunk. Note that the value has already been computed, so there is no laziness. "},"Thunk.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L44-L44","name":"Thunk.mk","line":44,"kind":"ctor","docLink":"./Init/Core.html#Thunk.mk","doc":"Constructs a new thunk from a function `Unit → α`\nthat will be called when the thunk is forced. "},"Thunk.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L64-L65","name":"Thunk.map","line":64,"kind":"def","docLink":"./Init/Core.html#Thunk.map","doc":"Map a function over a thunk. "},"Thunk.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L60-L61","name":"Thunk.get","line":60,"kind":"def","docLink":"./Init/Core.html#Thunk.get","doc":"Forces a thunk to extract the value. This will cache the result,\nso a second call to the same function will return the value in O(1)\ninstead of calling the stored getter function.\n"},"Thunk.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L67-L68","name":"Thunk.bind","line":67,"kind":"def","docLink":"./Init/Core.html#Thunk.bind","doc":"Constructs a thunk that applies `f` to the result of `x` when forced. "},"Thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L41-L46","name":"Thunk","line":41,"kind":"structure","docLink":"./Init/Core.html#Thunk","doc":"Thunks are \"lazy\" values that are evaluated when first accessed using `Thunk.get/map/bind`.\nThe value is then stored and not recomputed for all further accesses. "},"Tensor2d'.transpose_transpose":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"Tensor2d'.transpose":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"Tensor2d'.mk":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"Tensor2d'.mat":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"Tensor2d'.map_functorial":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"Tensor2d'.map_extract":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"Tensor2d'.map_error":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"Tensor2d'.map":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"Tensor2d'.fill_extract":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"Tensor2d'.fill":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"Tensor2d'.extract":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"Tensor2d'.error":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"Tensor2d'.dim₁":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"Tensor2d'.dim₀":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"Tensor2d'":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"Task.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L404-L405","name":"Task.spawn","line":404,"kind":"def","docLink":"./Init/Core.html#Task.spawn","doc":"`spawn fn : Task α` constructs and immediately launches a new task for\nevaluating the function `fn () : α` asynchronously.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L364-L364","name":"Task.pure","line":364,"kind":"ctor","docLink":"./Init/Core.html#Task.pure","doc":"`Task.pure (a : α)` constructs a task that is already resolved with value `a`. "},"Task.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L416-L417","name":"Task.map","line":416,"kind":"def","docLink":"./Init/Core.html#Task.map","doc":"`map f x` maps function `f` over the task `x`: that is, it constructs\n(and immediately launches) a new task which will wait for the value of `x` to\nbe available and then calls `f` on the result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L367-L367","name":"Task.get","line":367,"kind":"def","docLink":"./Init/Core.html#Task.get","doc":"If `task : Task α` then `task.get : α` blocks the current thread until the\nvalue is available, and then returns the result of the task. "},"Task.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L429-L430","name":"Task.bind","line":429,"kind":"def","docLink":"./Init/Core.html#Task.bind","doc":"`bind x f` does a monad \"bind\" operation on the task `x` with function `f`:\nthat is, it constructs (and immediately launches) a new task which will wait\nfor the value of `x` to be available and then calls `f` on the result,\nresulting in a new task which is then run for a result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.Priority.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L387-L387","name":"Task.Priority.max","line":387,"kind":"def","docLink":"./Init/Core.html#Task.Priority.max","doc":"The highest regular priority for spawned tasks: `8`.\n\nSpawning a task with a priority higher than `Task.Priority.max` is not an error but\nwill spawn a dedicated worker for the task, see `Task.Priority.dedicated`.\nRegular priority tasks are placed in a thread pool and worked on according to the priority order.\n"},"Task.Priority.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L378-L378","name":"Task.Priority.default","line":378,"kind":"def","docLink":"./Init/Core.html#Task.Priority.default","doc":"The default priority for spawned tasks, also the lowest priority: `0`. "},"Task.Priority.dedicated":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L394-L394","name":"Task.Priority.dedicated","line":394,"kind":"def","docLink":"./Init/Core.html#Task.Priority.dedicated","doc":"Any priority higher than `Task.Priority.max` will result in the task being scheduled\nimmediately on a dedicated thread. This is particularly useful for long-running and/or\nI/O-bound tasks since Lean will by default allocate no more non-dedicated workers\nthan the number of cores to reduce context switches.\n"},"Task.Priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L375-L375","name":"Task.Priority","line":375,"kind":"def","docLink":"./Init/Core.html#Task.Priority","doc":"Task priority. Tasks with higher priority will always be scheduled before ones with lower priority. "},"Task":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L362-L368","name":"Task","line":362,"kind":"structure","docLink":"./Init/Core.html#Task","doc":"`Task α` is a primitive for asynchronous computation.\nIt represents a computation that will resolve to a value of type `α`,\npossibly being computed on another thread. This is similar to `Future` in Scala,\n`Promise` in Javascript, and `JoinHandle` in Rust.\n\nThe tasks have an overridden representation in the runtime.\n"},"TUS":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"TC.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L144-L145","name":"TC.wf","line":144,"kind":"def","docLink":"./Init/WF.html#TC.wf","doc":""},"TC.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L949-L950","name":"TC.trans","line":949,"kind":"ctor","docLink":"./Init/Core.html#TC.trans","doc":"The transitive closure is transitive. "},"TC.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L947-L948","name":"TC.base","line":947,"kind":"ctor","docLink":"./Init/Core.html#TC.base","doc":"If `r a b` then `r⁺ a b`. This is the base case of the transitive closure. "},"TC.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L135-L142","name":"TC.accessible","line":135,"kind":"def","docLink":"./Init/WF.html#TC.accessible","doc":""},"TC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L946-L950","name":"TC","line":946,"kind":"inductive","docLink":"./Init/Core.html#TC","doc":"The transitive closure `r⁺` of a relation `r` is the smallest relation which is\ntransitive and contains `r`. `r⁺ a z` if and only if there exists a sequence\n`a r b r ... r z` of length at least 1 connecting `a` to `z`.\n"},"System.mkFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L114-L115","name":"System.mkFilePath","line":114,"kind":"def","docLink":"./Init/System/FilePath.html#System.mkFilePath","doc":""},"System.instToStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L22-L23","name":"System.instToStringFilePath","line":22,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instToStringFilePath","doc":""},"System.instReprFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L19-L20","name":"System.instReprFilePath","line":19,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instReprFilePath","doc":""},"System.instInhabitedFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instInhabitedFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instInhabitedFilePath","doc":""},"System.instHashableFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instHashableFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instHashableFilePath","doc":""},"System.instDecidableEqFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instDecidableEqFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instDecidableEqFilePath","doc":""},"System.instCoeStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L117-L118","name":"System.instCoeStringFilePath","line":117,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instCoeStringFilePath","doc":""},"System.Uri.unescapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L83-L84","name":"System.Uri.unescapeUri","line":83,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.unescapeUri","doc":"Replaces all %HH Uri escapings in the given string with their\ncorresponding unicode code points. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.Uri.pathToUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L87-L97","name":"System.Uri.pathToUri","line":87,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.pathToUri","doc":"Convert the given FilePath to a \"file:///encodedpath\" Uri. "},"System.Uri.fileUriToPath?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L101-L112","name":"System.Uri.fileUriToPath?","line":101,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.fileUriToPath?","doc":"Convert the given uri to a FilePath stripping the 'file://' prefix,\nignoring the optional host name. "},"System.Uri.escapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L76-L77","name":"System.Uri.escapeUri","line":76,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.escapeUri","doc":"Replaces special characters in the given Uri with %HH Uri escapings. "},"System.Uri.UriEscape.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L15-L15","name":"System.Uri.UriEscape.zero","line":15,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.zero","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L69-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","line":69,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L61-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar","line":61,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar","doc":""},"System.Uri.UriEscape.rfc3986ReservedChars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L59-L59","name":"System.Uri.UriEscape.rfc3986ReservedChars","line":59,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.rfc3986ReservedChars","doc":""},"System.Uri.UriEscape.nine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L16-L16","name":"System.Uri.UriEscape.nine","line":16,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.nine","doc":""},"System.Uri.UriEscape.letterf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L18-L18","name":"System.Uri.UriEscape.letterf","line":18,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterf","doc":""},"System.Uri.UriEscape.lettera":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L17-L17","name":"System.Uri.UriEscape.lettera","line":17,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.lettera","doc":""},"System.Uri.UriEscape.letterF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L20-L20","name":"System.Uri.UriEscape.letterF","line":20,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterF","doc":""},"System.Uri.UriEscape.letterA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L19-L19","name":"System.Uri.UriEscape.letterA","line":19,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterA","doc":""},"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L53-L57","name":"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","line":53,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","doc":""},"System.Uri.UriEscape.decodeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L25-L57","name":"System.Uri.UriEscape.decodeUri","line":25,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri","doc":"Decode %HH escapings in the given string. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.SearchPath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L131-L132","name":"System.SearchPath.toString","line":131,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.toString","doc":""},"System.SearchPath.separator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L125-L126","name":"System.SearchPath.separator","line":125,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.separator","doc":"The character that is used to separate the entries in the $PATH (or %PATH%) environment variable. "},"System.SearchPath.parse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L128-L129","name":"System.SearchPath.parse","line":128,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.parse","doc":""},"System.SearchPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L120-L120","name":"System.SearchPath","line":120,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath","doc":""},"System.Platform.numBits_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1738-L1739","name":"System.Platform.numBits_eq","line":1738,"kind":"theorem","docLink":"./Init/Prelude.html#System.Platform.numBits_eq","doc":""},"System.Platform.numBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1735-L1736","name":"System.Platform.numBits","line":1735,"kind":"def","docLink":"./Init/Prelude.html#System.Platform.numBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits. "},"System.Platform.isWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L16-L16","name":"System.Platform.isWindows","line":16,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isWindows","doc":""},"System.Platform.isOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L17-L17","name":"System.Platform.isOSX","line":17,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isOSX","doc":""},"System.Platform.isEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L18-L18","name":"System.Platform.isEmscripten","line":18,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isEmscripten","doc":""},"System.Platform.getNumBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1731-L1732","name":"System.Platform.getNumBits","line":1731,"kind":"opaque","docLink":"./Init/Prelude.html#System.Platform.getNumBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits.\n\nThis function is opaque because we cannot guarantee at compile time that the target\nwill have the same size as the host, and also because we would like to avoid\ntypechecking being architecture-dependent. Nevertheless, lean only works on\n64 and 32 bit systems so we can encode this as a fact available for proof purposes.\n"},"System.Platform.getIsWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L12-L12","name":"System.Platform.getIsWindows","line":12,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsWindows","doc":""},"System.Platform.getIsOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L13-L13","name":"System.Platform.getIsOSX","line":13,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsOSX","doc":""},"System.Platform.getIsEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L14-L14","name":"System.Platform.getIsEmscripten","line":14,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsEmscripten","doc":""},"System.FilePath.withFileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L99-L102","name":"System.FilePath.withFileName","line":99,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withFileName","doc":""},"System.FilePath.withExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L104-L107","name":"System.FilePath.withExtension","line":104,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withExtension","doc":""},"System.FilePath.walkDir.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L487-L503","name":"System.FilePath.walkDir.go","line":487,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.walkDir.go","doc":""},"System.FilePath.walkDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L484-L503","name":"System.FilePath.walkDir","line":484,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.walkDir","doc":"Return all filesystem entries of a preorder traversal of all directories satisfying `enter`, starting at `p`.\nSymbolic links are visited as well by default. "},"System.FilePath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L16-L16","name":"System.FilePath.toString","line":16,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.toString","doc":""},"System.FilePath.readDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L468-L468","name":"System.FilePath.readDir","line":468,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.readDir","doc":""},"System.FilePath.pathSeparators":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L32-L33","name":"System.FilePath.pathSeparators","line":32,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparators","doc":"The list of all possible separators. "},"System.FilePath.pathSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L28-L29","name":"System.FilePath.pathSeparator","line":28,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparator","doc":"The character that separates directories. In the case where more than one character is possible, `pathSeparator` is the 'ideal' one. "},"System.FilePath.pathExists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L478-L479","name":"System.FilePath.pathExists","line":478,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.pathExists","doc":""},"System.FilePath.parent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L75-L76","name":"System.FilePath.parent","line":75,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.parent","doc":""},"System.FilePath.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L42-L50","name":"System.FilePath.normalize","line":42,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.normalize","doc":""},"System.FilePath.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L1-L1","name":"System.FilePath.mk","line":1,"kind":"ctor","docLink":"./Init/System/FilePath.html#System.FilePath.mk","doc":""},"System.FilePath.metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L471-L471","name":"System.FilePath.metadata","line":471,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.metadata","doc":""},"System.FilePath.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L60-L64","name":"System.FilePath.join","line":60,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.join","doc":""},"System.FilePath.isRelative":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L57-L58","name":"System.FilePath.isRelative","line":57,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isRelative","doc":""},"System.FilePath.isDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L473-L476","name":"System.FilePath.isDir","line":473,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.isDir","doc":""},"System.FilePath.isAbsolute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L54-L55","name":"System.FilePath.isAbsolute","line":54,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isAbsolute","doc":""},"System.FilePath.instHDivFilePathString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L69-L70","name":"System.FilePath.instHDivFilePathString","line":69,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instHDivFilePathString","doc":""},"System.FilePath.instDivFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L66-L67","name":"System.FilePath.instDivFilePath","line":66,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instDivFilePath","doc":""},"System.FilePath.fileStem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L85-L90","name":"System.FilePath.fileStem","line":85,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileStem","doc":"Extracts the stem (non-extension) part of `p.fileName`. "},"System.FilePath.fileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L78-L82","name":"System.FilePath.fileName","line":78,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileName","doc":""},"System.FilePath.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L92-L97","name":"System.FilePath.extension","line":92,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extension","doc":""},"System.FilePath.extSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L36-L36","name":"System.FilePath.extSeparator","line":36,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extSeparator","doc":"File extension character "},"System.FilePath.exeExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L38-L39","name":"System.FilePath.exeExtension","line":38,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.exeExtension","doc":""},"System.FilePath.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L109-L110","name":"System.FilePath.components","line":109,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.components","doc":""},"System.FilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L15-L17","name":"System.FilePath","line":15,"kind":"structure","docLink":"./Init/System/FilePath.html#System.FilePath","doc":""},"Sum.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L74-L76","name":"Sum.repr","line":74,"kind":"def","docLink":"./Init/Data/Repr.html#Sum.repr","doc":""},"Sum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L105-L106","name":"Sum.inr","line":105,"kind":"ctor","docLink":"./Init/Core.html#Sum.inr","doc":"Right injection into the sum type `α ⊕ β`. If `b : β` then `.inr b : α ⊕ β`. "},"Sum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L103-L104","name":"Sum.inl","line":103,"kind":"ctor","docLink":"./Init/Core.html#Sum.inl","doc":"Left injection into the sum type `α ⊕ β`. If `a : α` then `.inl a : α ⊕ β`. "},"Sum.inhabitedRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L985-L986","name":"Sum.inhabitedRight","line":985,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedRight","doc":""},"Sum.inhabitedLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L982-L983","name":"Sum.inhabitedLeft","line":982,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedLeft","doc":""},"Sum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L102-L106","name":"Sum","line":102,"kind":"inductive","docLink":"./Init/Core.html#Sum","doc":"`Sum α β`, or `α ⊕ β`, is the disjoint union of types `α` and `β`.\nAn element of `α ⊕ β` is either of the form `.inl a` where `a : α`,\nor `.inr b` where `b : β`.\n"},"Subtype.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L564-L564","name":"Subtype.val","line":564,"kind":"def","docLink":"./Init/Prelude.html#Subtype.val","doc":"If `s : {x // p x}` then `s.val : α` is the underlying element in the base\ntype. You can also write this as `s.1`, or simply as `s` when the type is\nknown from context. "},"Subtype.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L32-L33","name":"Subtype.sizeOf","line":32,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Subtype.sizeOf","doc":""},"Subtype.property":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L567-L567","name":"Subtype.property","line":567,"kind":"def","docLink":"./Init/Prelude.html#Subtype.property","doc":"If `s : {x // p x}` then `s.2` or `s.property` is the assertion that\n`p s.1`, that is, that `s` is in fact an element for which `p` holds. "},"Subtype.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L560-L560","name":"Subtype.mk","line":560,"kind":"ctor","docLink":"./Init/Prelude.html#Subtype.mk","doc":""},"Subtype.instInhabitedSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L967-L968","name":"Subtype.instInhabitedSubtype","line":967,"kind":"instance","docLink":"./Init/Core.html#Subtype.instInhabitedSubtype","doc":""},"Subtype.instDecidableEqSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L970-L973","name":"Subtype.instDecidableEqSubtype","line":970,"kind":"instance","docLink":"./Init/Core.html#Subtype.instDecidableEqSubtype","doc":""},"Subtype.existsOfSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L955-L956","name":"Subtype.existsOfSubtype","line":955,"kind":"theorem","docLink":"./Init/Core.html#Subtype.existsOfSubtype","doc":""},"Subtype.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L963-L965","name":"Subtype.eta","line":963,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eta","doc":""},"Subtype.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L960-L961","name":"Subtype.eq","line":960,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eq","doc":""},"Subtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L560-L567","name":"Subtype","line":560,"kind":"structure","docLink":"./Init/Prelude.html#Subtype","doc":"`Subtype p`, usually written as `{x : α // p x}`, is a type which\nrepresents all the elements `x : α` for which `p x` is true. It is structurally\na pair-like type, so if you have `x : α` and `h : p x` then\n`⟨x, h⟩ : {x // p x}`. An element `s : {x // p x}` will coerce to `α` but\nyou can also make it explicit using `s.1` or `s.val`.\n"},"Substring.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L679-L680","name":"Substring.trimRight","line":679,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimRight","doc":""},"Substring.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L676-L677","name":"Substring.trimLeft","line":676,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimLeft","doc":""},"Substring.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L682-L686","name":"Substring.trim","line":682,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trim","doc":""},"Substring.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L525-L526","name":"Substring.toString","line":525,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toString","doc":""},"Substring.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L691-L695","name":"Substring.toNat?","line":691,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toNat?","doc":""},"Substring.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L840-L854","name":"Substring.toName","line":840,"kind":"def","docLink":"./Init/Meta.html#Substring.toName","doc":""},"Substring.toIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L528-L529","name":"Substring.toIterator","line":528,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toIterator","doc":""},"Substring.takeWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L636-L643","name":"Substring.takeWhileAux","line":636,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhileAux","doc":""},"Substring.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L645-L648","name":"Substring.takeWhile","line":645,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhile","doc":""},"Substring.takeRightWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L655-L664","name":"Substring.takeRightWhileAux","line":655,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhileAux","doc":""},"Substring.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L666-L669","name":"Substring.takeRightWhile","line":666,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhile","doc":""},"Substring.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L584-L585","name":"Substring.takeRight","line":584,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRight","doc":""},"Substring.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L581-L582","name":"Substring.take","line":581,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.take","doc":""},"Substring.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2321-L2321","name":"Substring.str","line":2321,"kind":"def","docLink":"./Init/Prelude.html#Substring.str","doc":"The underlying string to slice. "},"Substring.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2325-L2325","name":"Substring.stopPos","line":2325,"kind":"def","docLink":"./Init/Prelude.html#Substring.stopPos","doc":"The byte position of the end of the string slice. "},"Substring.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2323-L2323","name":"Substring.startPos","line":2323,"kind":"def","docLink":"./Init/Prelude.html#Substring.startPos","doc":"The byte position of the start of the string slice. "},"Substring.splitOn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L597-L614","name":"Substring.splitOn.loop","line":597,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn.loop","doc":""},"Substring.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L593-L616","name":"Substring.splitOn","line":593,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn","doc":""},"Substring.prevn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L562-L564","name":"Substring.prevn","line":562,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prevn","doc":""},"Substring.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L553-L556","name":"Substring.prev","line":553,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prev","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the previous codepoint. "},"Substring.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L571-L573","name":"Substring.posOf","line":571,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.posOf","doc":"Return the offset into `s` of the first occurence of `c` in `s`,\nor `s.bsize` if `c` doesn't occur. "},"Substring.nextn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L558-L560","name":"Substring.nextn","line":558,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.nextn","doc":""},"Substring.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L537-L540","name":"Substring.next","line":537,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.next","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the next codepoint. "},"Substring.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"Substring.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Substring.mk","doc":""},"Substring.lt_next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L542-L549","name":"Substring.lt_next","line":542,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#Substring.lt_next","doc":""},"Substring.isNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L688-L689","name":"Substring.isNat","line":688,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isNat","doc":""},"Substring.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L522-L523","name":"Substring.isEmpty","line":522,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isEmpty","doc":""},"Substring.hasBeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L700-L700","name":"Substring.hasBeq","line":700,"kind":"instance","docLink":"./Init/Data/String/Basic.html#Substring.hasBeq","doc":""},"Substring.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L532-L533","name":"Substring.get","line":532,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.get","doc":"Return the codepoint at the given offset into the substring. 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"},"Substring.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L697-L698","name":"Substring.beq","line":697,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.beq","doc":""},"Substring.atEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L587-L588","name":"Substring.atEnd","line":587,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.atEnd","doc":""},"Substring.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L626-L628","name":"Substring.any","line":626,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.any","doc":""},"Substring.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L630-L631","name":"Substring.all","line":630,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.all","doc":""},"Substring":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2319-L2325","name":"Substring","line":2319,"kind":"structure","docLink":"./Init/Prelude.html#Substring","doc":"A `Substring` is a view into some subslice of a `String`.\nThe actual string slicing is deferred because this would require copying the\nstring; here we only store a reference to the original string for\ngarbage collection purposes.\n"},"Subsingleton.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L869-L869","name":"Subsingleton.intro","line":869,"kind":"ctor","docLink":"./Init/Core.html#Subsingleton.intro","doc":"Construct a proof that `α` is a subsingleton by showing that any two elements are equal. "},"Subsingleton.helim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L876-L879","name":"Subsingleton.helim","line":876,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.helim","doc":""},"Subsingleton.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L873-L874","name":"Subsingleton.elim","line":873,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.elim","doc":""},"Subsingleton.allEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L871-L871","name":"Subsingleton.allEq","line":871,"kind":"def","docLink":"./Init/Core.html#Subsingleton.allEq","doc":"Any two elements of a subsingleton are equal. "},"Subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L867-L871","name":"Subsingleton","line":867,"kind":"class","docLink":"./Init/Core.html#Subsingleton","doc":"A \"subsingleton\" is a type with at most one element.\nIn other words, it is either empty, or has a unique element.\nAll propositions are subsingletons because of proof irrelevance, but some other types\nare subsingletons as well and they inherit many of the same properties as propositions.\n`Subsingleton α` is a typeclass, so it is usually used as an implicit argument and\ninferred by typeclass inference.\n"},"Subrelation.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L103-L104","name":"Subrelation.wf","line":103,"kind":"def","docLink":"./Init/WF.html#Subrelation.wf","doc":""},"Subrelation.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L96-L101","name":"Subrelation.accessible","line":96,"kind":"def","docLink":"./Init/WF.html#Subrelation.accessible","doc":""},"Subrelation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L931-L932","name":"Subrelation","line":931,"kind":"def","docLink":"./Init/Core.html#Subrelation","doc":"`Subrelation q r` means that `q ⊆ r` or `∀ x y, q x y → r x y`.\nIt is the analogue of the subset relation on relations.\n"},"Subarray.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L165-L166","name":"Subarray.toArray","line":165,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.toArray","doc":""},"Subarray.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L14-L14","name":"Subarray.stop","line":14,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.stop","doc":""},"Subarray.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L13-L13","name":"Subarray.start","line":13,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.start","doc":""},"Subarray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L20-L21","name":"Subarray.size","line":20,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.size","doc":""},"Subarray.popFront":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L41-L45","name":"Subarray.popFront","line":41,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.popFront","doc":""},"Subarray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L11-L11","name":"Subarray.mk","line":11,"kind":"ctor","docLink":"./Init/Data/Array/Subarray.html#Subarray.mk","doc":""},"Subarray.instGetElemSubarrayNatLtInstLTNatSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L32-L33","name":"Subarray.instGetElemSubarrayNatLtInstLTNatSize","line":32,"kind":"instance","docLink":"./Init/Data/Array/Subarray.html#Subarray.instGetElemSubarrayNatLtInstLTNatSize","doc":""},"Subarray.instForInSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L64-L65","name":"Subarray.instForInSubarray","line":64,"kind":"instance","docLink":"./Init/Data/Array/Subarray.html#Subarray.instForInSubarray","doc":""},"Subarray.h₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L16-L16","name":"Subarray.h₂","line":16,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.h₂","doc":""},"Subarray.h₁":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L15-L15","name":"Subarray.h₁","line":15,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.h₁","doc":""},"Subarray.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L35-L36","name":"Subarray.getD","line":35,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.getD","doc":""},"Subarray.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L38-L39","name":"Subarray.get!","line":38,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.get!","doc":""},"Subarray.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L23-L30","name":"Subarray.get","line":23,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.get","doc":""},"Subarray.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L88-L89","name":"Subarray.forRevM","line":88,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forRevM","doc":""},"Subarray.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L84-L85","name":"Subarray.forM","line":84,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forM","doc":""},"Subarray.forInUnsafe.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L49-L56","name":"Subarray.forInUnsafe.loop","line":49,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forInUnsafe.loop","doc":""},"Subarray.forInUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L47-L57","name":"Subarray.forInUnsafe","line":47,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forInUnsafe","doc":""},"Subarray.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L61-L62","name":"Subarray.forIn","line":61,"kind":"opaque","docLink":"./Init/Data/Array/Subarray.html#Subarray.forIn","doc":""},"Subarray.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L72-L73","name":"Subarray.foldrM","line":72,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldrM","doc":""},"Subarray.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L96-L97","name":"Subarray.foldr","line":96,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldr","doc":""},"Subarray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L68-L69","name":"Subarray.foldlM","line":68,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldlM","doc":""},"Subarray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L92-L93","name":"Subarray.foldl","line":92,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldl","doc":""},"Subarray.findSomeRevM?.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L109-L118","name":"Subarray.findSomeRevM?.find","line":109,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findSomeRevM?.find","doc":""},"Subarray.findSomeRevM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L108-L119","name":"Subarray.findSomeRevM?","line":108,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findSomeRevM?","doc":""},"Subarray.findRevM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L122-L123","name":"Subarray.findRevM?","line":122,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findRevM?","doc":""},"Subarray.findRev?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L126-L127","name":"Subarray.findRev?","line":126,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findRev?","doc":""},"Subarray.as":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L12-L12","name":"Subarray.as","line":12,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.as","doc":""},"Subarray.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L76-L77","name":"Subarray.anyM","line":76,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.anyM","doc":""},"Subarray.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L100-L101","name":"Subarray.any","line":100,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.any","doc":""},"Subarray.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L80-L81","name":"Subarray.allM","line":80,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.allM","doc":""},"Subarray.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L104-L105","name":"Subarray.all","line":104,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.all","doc":""},"Subarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L11-L16","name":"Subarray","line":11,"kind":"structure","docLink":"./Init/Data/Array/Subarray.html#Subarray","doc":""},"Sub.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1270-L1270","name":"Sub.sub","line":1270,"kind":"def","docLink":"./Init/Prelude.html#Sub.sub","doc":"`a - b` computes the difference of `a` and `b`. See `HSub`. "},"Sub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1268-L1268","name":"Sub.mk","line":1268,"kind":"ctor","docLink":"./Init/Prelude.html#Sub.mk","doc":""},"Sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1268-L1270","name":"Sub","line":1268,"kind":"class","docLink":"./Init/Prelude.html#Sub","doc":"The homogeneous version of `HSub`: `a - b : α` where `a b : α`. "},"String.utf8SetAux_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L418-L422","name":"String.utf8SetAux_of_gt","line":418,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux_of_gt","doc":""},"String.utf8SetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L77-L80","name":"String.utf8SetAux","line":77,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux","doc":""},"String.utf8PrevAux_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L140-L149","name":"String.utf8PrevAux_lt_of_pos","line":140,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux_lt_of_pos","doc":""},"String.utf8PrevAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L94-L98","name":"String.utf8PrevAux","line":94,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux","doc":""},"String.utf8GetAux?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L61-L63","name":"String.utf8GetAux?","line":61,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux?","doc":""},"String.utf8GetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L47-L49","name":"String.utf8GetAux","line":47,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux","doc":""},"String.utf8ByteSize.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2346-L2348","name":"String.utf8ByteSize.go","line":2346,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize.go","doc":""},"String.utf8ByteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2343-L2348","name":"String.utf8ByteSize","line":2343,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize","doc":"The UTF-8 byte length of this string.\nThis is overridden by the compiler to be cached and O(1).\n"},"String.utf16PosToCodepointPosFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L49-L50","name":"String.utf16PosToCodepointPosFrom","line":49,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPosFrom","doc":"Computes the position of the Unicode codepoint at UTF-16 offset\n`utf16pos` in the substring of `s` starting at UTF-8 offset `off`. "},"String.utf16PosToCodepointPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L52-L53","name":"String.utf16PosToCodepointPos","line":52,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPos","doc":""},"String.utf16Length":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L27-L28","name":"String.utf16Length","line":27,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16Length","doc":""},"String.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L736-L737","name":"String.trimRight","line":736,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimRight","doc":""},"String.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L739-L740","name":"String.trimLeft","line":739,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimLeft","doc":""},"String.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L742-L743","name":"String.trim","line":742,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trim","doc":""},"String.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L751-L752","name":"String.toUpper","line":751,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toUpper","doc":""},"String.toUTF8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Extra.lean#L34-L34","name":"String.toUTF8","line":34,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.toUTF8","doc":"Convert the given `String` to a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded byte array. "},"String.toSubstring'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2385-L2386","name":"String.toSubstring'","line":2385,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring'","doc":"`String.toSubstring` without `[inline]` annotation. "},"String.toSubstring":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2379-L2382","name":"String.toSubstring","line":2379,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring","doc":"Convert a `String` into a `Substring` denoting the entire string. "},"String.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L474-L478","name":"String.toNat?","line":474,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toNat?","doc":""},"String.toNat!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Extra.lean#L19-L23","name":"String.toNat!","line":19,"kind":"def","docLink":"./Init/Data/String/Extra.html#String.toNat!","doc":"Interpret the string as the decimal representation of a natural number.\n\nPanics if the string is not a string of digits. "},"String.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L856-L857","name":"String.toName","line":856,"kind":"def","docLink":"./Init/Meta.html#String.toName","doc":""},"String.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L754-L755","name":"String.toLower","line":754,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toLower","doc":""},"String.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L44-L45","name":"String.toList","line":44,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toList","doc":"O(n) in the runtime, where n is the length of the String "},"String.toInt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L122-L127","name":"String.toInt?","line":122,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt?","doc":""},"String.toInt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L135-L138","name":"String.toInt!","line":135,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt!","doc":""},"String.toFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Instances.lean#L36-L37","name":"String.toFormat","line":36,"kind":"def","docLink":"./Init/Data/Format/Instances.html#String.toFormat","doc":""},"String.toFileMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Position.lean#L83-L84","name":"String.toFileMap","line":83,"kind":"def","docLink":"./Lean/Data/Position.html#String.toFileMap","doc":""},"String.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L718-L719","name":"String.takeWhile","line":718,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeWhile","doc":""},"String.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L724-L725","name":"String.takeRightWhile","line":724,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRightWhile","doc":""},"String.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L715-L716","name":"String.takeRight","line":715,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRight","doc":""},"String.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L712-L713","name":"String.take","line":712,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.take","doc":""},"String.substrEq.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L486-L492","name":"String.substrEq.loop","line":486,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq.loop","doc":""},"String.substrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L483-L493","name":"String.substrEq","line":483,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq","doc":"Return `true` iff the substring of byte size `sz` starting at position `off1` in `s1` is equal to that starting at `off2` in `s2.`.\nFalse if either substring of that byte size does not exist. "},"String.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L272-L272","name":"String.str","line":272,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.str","doc":""},"String.startsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L730-L731","name":"String.startsWith","line":730,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.startsWith","doc":""},"String.splitOnAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L248-L263","name":"String.splitOnAux","line":248,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOnAux","doc":""},"String.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L265-L266","name":"String.splitOn","line":265,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOn","doc":""},"String.splitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L232-L243","name":"String.splitAux","line":232,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitAux","doc":""},"String.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L245-L246","name":"String.split","line":245,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.split","doc":""},"String.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L283-L284","name":"String.singleton","line":283,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.singleton","doc":""},"String.set_next_add.foo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L429-L441","name":"String.set_next_add.foo","line":429,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add.foo","doc":""},"String.set_next_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L424-L442","name":"String.set_next_add","line":424,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add","doc":""},"String.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L83-L84","name":"String.set","line":83,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.set","doc":""},"String.revPosOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L167-L174","name":"String.revPosOfAux","line":167,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOfAux","doc":""},"String.revPosOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L176-L177","name":"String.revPosOf","line":176,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOf","doc":""},"String.revFindAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L191-L198","name":"String.revFindAux","line":191,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFindAux","doc":""},"String.revFind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L200-L201","name":"String.revFind","line":200,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFind","doc":""},"String.replace.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L504-L514","name":"String.replace.loop","line":504,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace.loop","doc":""},"String.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L500-L516","name":"String.replace","line":500,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace","doc":"Replace all occurrences of `pattern` in `s` with `replacement`. "},"String.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L203-L205","name":"String.quote","line":203,"kind":"def","docLink":"./Init/Data/Repr.html#String.quote","doc":""},"String.pushn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L274-L275","name":"String.pushn","line":274,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.pushn","doc":""},"String.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L34-L35","name":"String.push","line":34,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.push","doc":"The internal implementation uses dynamic arrays and will perform destructive updates\nif the String is not shared. 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This function is overridden by the\ncompiler and is O(n) in the length of the list. 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opaque string hash function. "},"String.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L66-L67","name":"String.get?","line":66,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get?","doc":""},"String.get'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L118-L120","name":"String.get'","line":118,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get'","doc":"Similar to `get` but runtime does not perform bounds check.\n"},"String.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L73-L75","name":"String.get!","line":73,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get!","doc":"Similar to `get`, but produces a panic error message if `p` is not a valid `String.Pos`.\n"},"String.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L57-L59","name":"String.get","line":57,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get","doc":"Return character at position `p`. If `p` is not a valid position\nreturns `(default : Char)`.\nSee `utf8GetAux` for the reference implementation.\n"},"String.front":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L104-L105","name":"String.front","line":104,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.front","doc":""},"String.fromUTF8Unchecked":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Extra.lean#L30-L30","name":"String.fromUTF8Unchecked","line":30,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.fromUTF8Unchecked","doc":"Convert a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded `ByteArray` string to `String`.\nThe result is unspecified if `a` is not properly UTF-8 encoded.\n"},"String.foldrAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L387-L395","name":"String.foldrAux","line":387,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldrAux","doc":""},"String.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L397-L398","name":"String.foldr","line":397,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldr","doc":""},"String.foldlAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L377-L382","name":"String.foldlAux","line":377,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldlAux","doc":""},"String.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L384-L385","name":"String.foldl","line":384,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldl","doc":""},"String.firstDiffPos.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L209-L215","name":"String.firstDiffPos.loop","line":209,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.firstDiffPos.loop","doc":""},"String.firstDiffPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L207-L217","name":"String.firstDiffPos","line":207,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.firstDiffPos","doc":"Returns the first position where the two strings differ. "},"String.findAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L179-L186","name":"String.findAux","line":179,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.findAux","doc":""},"String.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L188-L189","name":"String.find","line":188,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.find","doc":""},"String.extract.go₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L227-L229","name":"String.extract.go₂","line":227,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract.go₂","doc":""},"String.extract.go₁":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L223-L225","name":"String.extract.go₁","line":223,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract.go₁","doc":""},"String.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L220-L229","name":"String.extract","line":220,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract","doc":""},"String.endsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L733-L734","name":"String.endsWith","line":733,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.endsWith","doc":""},"String.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2375-L2376","name":"String.endPos","line":2375,"kind":"def","docLink":"./Init/Prelude.html#String.endPos","doc":"A `String.Pos` pointing at the end of this string. 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"},"Std.Range.«term[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L66-L66","name":"Std.Range.«term[_:_]»","line":66,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_]»","doc":""},"Std.Range.«term[_:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L68-L68","name":"Std.Range.«term[_:_:_]»","line":68,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_:_]»","doc":""},"Std.Range.«term[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L65-L65","name":"Std.Range.«term[:_]»","line":65,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_]»","doc":""},"Std.Range.«term[:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L67-L67","name":"Std.Range.«term[:_:_]»","line":67,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_:_]»","doc":""},"Std.Range.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L14-L14","name":"Std.Range.stop","line":14,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.stop","doc":""},"Std.Range.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L15-L15","name":"Std.Range.step","line":15,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.step","doc":""},"Std.Range.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L13-L13","name":"Std.Range.start","line":13,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.start","doc":""},"Std.Range.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L1-L1","name":"Std.Range.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Range.html#Std.Range.mk","doc":""},"Std.Range.instForMRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L62-L63","name":"Std.Range.instForMRangeNat","line":62,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForMRangeNat","doc":""},"Std.Range.instForInRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L35-L36","name":"Std.Range.instForInRangeNat","line":35,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForInRangeNat","doc":""},"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L50-L51","name":"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","line":50,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","doc":""},"Std.Range.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L54-L59","name":"Std.Range.forM.loop","line":54,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM.loop","doc":""},"Std.Range.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L53-L60","name":"Std.Range.forM","line":53,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM","doc":""},"Std.Range.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L25-L32","name":"Std.Range.forIn.loop","line":25,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn.loop","doc":""},"Std.Range.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L39-L47","name":"Std.Range.forIn'.loop","line":39,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'.loop","doc":""},"Std.Range.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L38-L48","name":"Std.Range.forIn'","line":38,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'","doc":""},"Std.Range.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L23-L33","name":"Std.Range.forIn","line":23,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn","doc":""},"Std.Range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L12-L15","name":"Std.Range","line":12,"kind":"structure","docLink":"./Init/Data/Range.html#Std.Range","doc":""},"Std.Queue.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L61-L62","name":"Std.Queue.toArray","line":61,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.toArray","doc":""},"Std.Queue.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L19-L19","name":"Std.Queue.mk","line":19,"kind":"ctor","docLink":"./Init/Data/Queue.html#Std.Queue.mk","doc":""},"Std.Queue.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L38-L39","name":"Std.Queue.isEmpty","line":38,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.isEmpty","doc":"`O(1)`. Is the queue empty? "},"Std.Queue.instInhabitedQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L35-L35","name":"Std.Queue.instInhabitedQueue","line":35,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instInhabitedQueue","doc":""},"Std.Queue.instEmptyCollectionQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L34-L34","name":"Std.Queue.instEmptyCollectionQueue","line":34,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instEmptyCollectionQueue","doc":""},"Std.Queue.enqueueAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L46-L47","name":"Std.Queue.enqueueAll","line":46,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueueAll","doc":"`O(|vs|)`. Push a list of elements `vs` on the front of the queue. "},"Std.Queue.enqueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L42-L43","name":"Std.Queue.enqueue","line":42,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueue","doc":"`O(1)`. Push an element on the front of the queue. "},"Std.Queue.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L32-L32","name":"Std.Queue.empty","line":32,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.empty","doc":"`O(1)`. The empty queue. "},"Std.Queue.eList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L22-L22","name":"Std.Queue.eList","line":22,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.eList","doc":"The enqueue list, which stores elements that have just been pushed\n(with the most recently enqueued elements at the head). "},"Std.Queue.dequeue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L53-L59","name":"Std.Queue.dequeue?","line":53,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dequeue?","doc":"`O(1)` amortized, `O(n)` worst case. Pop an element from the back of the queue,\nreturning the element and the new queue.\n"},"Std.Queue.dList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L25-L25","name":"Std.Queue.dList","line":25,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dList","doc":"The dequeue list, which buffers elements ready to be dequeued\n(with the head being the next item to be yielded by `dequeue?`). "},"Std.Queue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L19-L25","name":"Std.Queue","line":19,"kind":"structure","docLink":"./Init/Data/Queue.html#Std.Queue","doc":"A functional queue data structure, using two back-to-back lists.\nIf we think of the queue as having elements pushed on the front and\npopped from the back, then the queue itself is effectively `eList ++ dList.reverse`.\n"},"Std.Format.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L57-L58","name":"Std.Format.text","line":57,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.text","doc":"A node containing a plain string. "},"Std.Format.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L76-L77","name":"Std.Format.tag","line":76,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.tag","doc":"Used for associating auxiliary information (e.g. `Expr`s) with `Format` objects. "},"Std.Format.sbracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L269-L270","name":"Std.Format.sbracket","line":269,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.sbracket","doc":"Creates the format `\"[\" ++ f ++ \"]\"` with a flattening group."},"Std.Format.prettyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L256-L257","name":"Std.Format.prettyM","line":256,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prettyM","doc":"Render the given `f : Format` with a line width of `w`.\n`indent` is the starting amount to indent each line by. "},"Std.Format.pretty'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L32-L33","name":"Std.Format.pretty'","line":32,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.pretty'","doc":""},"Std.Format.pretty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L305-L307","name":"Std.Format.pretty","line":305,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.pretty","doc":"Pretty-print a `Format` object as a string with expected width `w`. "},"Std.Format.prefixJoin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L332-L334","name":"Std.Format.prefixJoin","line":332,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prefixJoin","doc":"Format each item in `items` and prepend prefix `pre`. "},"Std.Format.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L265-L266","name":"Std.Format.paren","line":265,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.paren","doc":"Creates the format `\"(\" ++ f ++ \")\"` with a flattening group."},"Std.Format.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L39-L40","name":"Std.Format.nil","line":39,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nil","doc":"The empty format. "},"Std.Format.nestD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L283-L284","name":"Std.Format.nestD","line":283,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.nestD","doc":"Nest with the default indentation amount."},"Std.Format.nest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L59-L71","name":"Std.Format.nest","line":59,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nest","doc":"`nest n f` tells the formatter that `f` is nested inside something with length `n`\nso that it is pretty-printed with the correct indentation on a line break.\nFor example, we can define a formatter for list `l : List Format` as:\n\n```\nlet f := join <| l.intersperse <| \", \" ++ Format.line\ngroup (nest 1 <| \"[\" ++ f ++ \"]\")\n```\n\nThis will be written all on one line, but if the text is too large,\nthe formatter will put in linebreaks after the commas and indent later lines by 1.\n"},"Std.Format.line":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L41-L43","name":"Std.Format.line","line":41,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.line","doc":"A position where a newline may be inserted\nif the current group does not fit within the allotted column width. "},"Std.Format.joinSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L337-L339","name":"Std.Format.joinSuffix","line":337,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSuffix","doc":"Format each item in `items` and append `suffix`. "},"Std.Format.joinSep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L326-L329","name":"Std.Format.joinSep","line":326,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSep","doc":"Intersperse the given list (each item printed with `format`) with the given `sep` format. "},"Std.Format.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L100-L101","name":"Std.Format.join","line":100,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.join","doc":""},"Std.Format.isNil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L103-L105","name":"Std.Format.isNil","line":103,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isNil","doc":""},"Std.Format.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L83-L91","name":"Std.Format.isEmpty","line":83,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isEmpty","doc":"Check whether the given format contains no characters. "},"Std.Format.instMonadPrettyFormatStateMState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L295-L301","name":"Std.Format.instMonadPrettyFormatStateMState","line":295,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instMonadPrettyFormatStateMState","doc":""},"Std.Format.instInhabitedSpaceResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L111-L111","name":"Std.Format.instInhabitedSpaceResult","line":111,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedSpaceResult","doc":""},"Std.Format.instInhabitedFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instInhabitedFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedFlattenBehavior","doc":""},"Std.Format.instCoeStringFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L98-L98","name":"Std.Format.instCoeStringFormat","line":98,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instCoeStringFormat","doc":""},"Std.Format.instBEqFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instBEqFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instBEqFlattenBehavior","doc":""},"Std.Format.instAppendFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L97-L97","name":"Std.Format.instAppendFormat","line":97,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instAppendFormat","doc":""},"Std.Format.indentD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L287-L288","name":"Std.Format.indentD","line":287,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.indentD","doc":"Insert a newline and then `f`, all nested by the default indent amount. "},"Std.Format.group":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L74-L75","name":"Std.Format.group","line":74,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.group","doc":"Creates a new flattening group for the given inner format. "},"Std.Format.getWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L13-L13","name":"Std.Format.getWidth","line":13,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getWidth","doc":""},"Std.Format.getUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L15-L15","name":"Std.Format.getUnicode","line":15,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getUnicode","doc":""},"Std.Format.getIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L14-L14","name":"Std.Format.getIndent","line":14,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getIndent","doc":""},"Std.Format.format.width":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L17-L20","name":"Std.Format.format.width","line":17,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.width","doc":""},"Std.Format.format.unicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L22-L25","name":"Std.Format.format.unicode","line":22,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.unicode","doc":""},"Std.Format.format.indent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L27-L30","name":"Std.Format.format.indent","line":27,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.indent","doc":""},"Std.Format.fill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L94-L95","name":"Std.Format.fill","line":94,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.fill","doc":"Alias for a group with `FlattenBehavior` set to `fill`. "},"Std.Format.defWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L280-L280","name":"Std.Format.defWidth","line":280,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defWidth","doc":"Default width of the targeted output pane. "},"Std.Format.defUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L278-L278","name":"Std.Format.defUnicode","line":278,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defUnicode","doc":""},"Std.Format.defIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L277-L277","name":"Std.Format.defIndent","line":277,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defIndent","doc":"Default indentation. "},"Std.Format.bracketFill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L273-L274","name":"Std.Format.bracketFill","line":273,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracketFill","doc":"Same as `bracket` except uses the `fill` flattening behaviour. "},"Std.Format.bracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L261-L262","name":"Std.Format.bracket","line":261,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracket","doc":"Create a format `l ++ f ++ r` with a flatten group.\nFlattenBehaviour is `allOrNone`; for `fill` use `bracketFill`. "},"Std.Format.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L72-L73","name":"Std.Format.append","line":72,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.append","doc":"Concatenation of two Formats. "},"Std.Format.align":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L44-L56","name":"Std.Format.align","line":44,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.align","doc":"`align` tells the formatter to pad with spaces to the current indent,\nor else add a newline if we are already at or past the indent. For example:\n```\nnest 2 <| \".\" ++ align ++ \"a\" ++ line ++ \"b\"\n```\nresults in:\n```\n. a\n b\n```\nIf `force` is true, then it will pad to the indent even if it is in a flattened group.\n"},"Std.Format.MonadPrettyFormat.startTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L162-L162","name":"Std.Format.MonadPrettyFormat.startTag","line":162,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.startTag","doc":"Start a scope tagged with `n`. "},"Std.Format.MonadPrettyFormat.pushOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L158-L158","name":"Std.Format.MonadPrettyFormat.pushOutput","line":158,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushOutput","doc":""},"Std.Format.MonadPrettyFormat.pushNewline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L159-L159","name":"Std.Format.MonadPrettyFormat.pushNewline","line":159,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushNewline","doc":""},"Std.Format.MonadPrettyFormat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L157-L157","name":"Std.Format.MonadPrettyFormat.mk","line":157,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.mk","doc":""},"Std.Format.MonadPrettyFormat.endTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L164-L164","name":"Std.Format.MonadPrettyFormat.endTags","line":164,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.endTags","doc":"Exit the scope of `n`-many opened tags. "},"Std.Format.MonadPrettyFormat.currColumn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L160-L160","name":"Std.Format.MonadPrettyFormat.currColumn","line":160,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.currColumn","doc":""},"Std.Format.MonadPrettyFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L157-L164","name":"Std.Format.MonadPrettyFormat","line":157,"kind":"class","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat","doc":"A monad in which we can pretty-print `Format` objects. 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canonical quotient map into `Squash α`. "},"Squash.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1593-L1594","name":"Squash.lift","line":1593,"kind":"def","docLink":"./Init/Core.html#Squash.lift","doc":"If `β` is a subsingleton, then a function `α → β` lifts to `Squash α → β`. "},"Squash.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1589-L1590","name":"Squash.ind","line":1589,"kind":"theorem","docLink":"./Init/Core.html#Squash.ind","doc":""},"Squash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1584-L1584","name":"Squash","line":1584,"kind":"def","docLink":"./Init/Core.html#Squash","doc":"`Squash α` is the quotient of `α` by the always true relation.\nIt is empty if `α` is empty, otherwise it is a singleton.\n(Thus it is unconditionally a `Subsingleton`.)\nIt is the \"universal `Subsingleton`\" mapped from `α`.\n\nIt is similar to `Nonempty α`, which has the same properties, but unlike\n`Nonempty` this is a `Type u`, that is, it is \"data\", and the compiler\nrepresents an element of `Squash α` the same as `α` itself\n(as compared to `Nonempty α`, whose elements are represented by a dummy value).\n\n`Squash.lift` will extract a value in any subsingleton `β` from a function on `α`,\nwhile `Nonempty.rec` can only do the same when `β` is a proposition.\n"},"SizeOf.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L28-L28","name":"SizeOf.sizeOf","line":28,"kind":"def","docLink":"./Init/SizeOf.html#SizeOf.sizeOf","doc":"The \"size\" of an element, a natural number which decreases on fields of\neach inductive type. "},"SizeOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L25-L25","name":"SizeOf.mk","line":25,"kind":"ctor","docLink":"./Init/SizeOf.html#SizeOf.mk","doc":""},"SizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L25-L28","name":"SizeOf","line":25,"kind":"class","docLink":"./Init/SizeOf.html#SizeOf","doc":"`SizeOf` is a typeclass automatically derived for every inductive type,\nwhich equips the type with a \"size\" function to `Nat`.\nThe default instance defines each constructor to be `1` plus the sum of the\nsizes of all the constructor fields.\n\nThis is used for proofs by well-founded induction, since every field of the\nconstructor has a smaller size than the constructor itself,\nand in many cases this will suffice to do the proof that a recursive function\nis only called on smaller values.\nIf the default proof strategy fails, it is recommended to supply a custom\nsize measure using the `termination_by` argument on the function definition.\n"},"Sigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L144-L144","name":"Sigma.snd","line":144,"kind":"def","docLink":"./Init/Core.html#Sigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"Sigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L140-L140","name":"Sigma.mk","line":140,"kind":"ctor","docLink":"./Init/Core.html#Sigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : Sigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"Sigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L142-L142","name":"Sigma.fst","line":142,"kind":"def","docLink":"./Init/Core.html#Sigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"Sigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L136-L144","name":"Sigma","line":136,"kind":"structure","docLink":"./Init/Core.html#Sigma","doc":"`Sigma β`, also denoted `Σ a : α, β a` or `(a : α) × β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt is sometimes known as the dependent sum type, since it is the type level version\nof an indexed summation.\n"},"ShiftRight.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1362-L1362","name":"ShiftRight.shiftRight","line":1362,"kind":"def","docLink":"./Init/Prelude.html#ShiftRight.shiftRight","doc":"The implementation of `a >>> b : α`. See `HShiftRight`. "},"ShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1360-L1360","name":"ShiftRight.mk","line":1360,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftRight.mk","doc":""},"ShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1360-L1362","name":"ShiftRight","line":1360,"kind":"class","docLink":"./Init/Prelude.html#ShiftRight","doc":"The homogeneous version of `HShiftRight`: `a >>> b : α` where `a b : α`. "},"ShiftLeft.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1357-L1357","name":"ShiftLeft.shiftLeft","line":1357,"kind":"def","docLink":"./Init/Prelude.html#ShiftLeft.shiftLeft","doc":"The implementation of `a <<< b : α`. See `HShiftLeft`. "},"ShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1355-L1355","name":"ShiftLeft.mk","line":1355,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftLeft.mk","doc":""},"ShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1355-L1357","name":"ShiftLeft","line":1355,"kind":"class","docLink":"./Init/Prelude.html#ShiftLeft","doc":"The homogeneous version of `HShiftLeft`: `a <<< b : α` where `a b : α`. "},"ShareCommonT.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L97-L98","name":"ShareCommonT.withShareCommon","line":97,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.withShareCommon","doc":""},"ShareCommonT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L103-L103","name":"ShareCommonT.run","line":103,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.run","doc":""},"ShareCommonT.monadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L100-L101","name":"ShareCommonT.monadShareCommon","line":100,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommonT.monadShareCommon","doc":""},"ShareCommonT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L94-L94","name":"ShareCommonT","line":94,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT","doc":""},"ShareCommonM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L104-L104","name":"ShareCommonM.run","line":104,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM.run","doc":""},"ShareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L95-L95","name":"ShareCommonM","line":95,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM","doc":""},"ShareCommon.mkStateImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L77-L77","name":"ShareCommon.mkStateImpl","line":77,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.mkStateImpl","doc":""},"ShareCommon.instNonemptyStateFactory":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L35-L35","name":"ShareCommon.instNonemptyStateFactory","line":35,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyStateFactory","doc":""},"ShareCommon.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L75-L75","name":"ShareCommon.instNonemptyState","line":75,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyState","doc":""},"ShareCommon.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L79-L79","name":"ShareCommon.instInhabitedState","line":79,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instInhabitedState","doc":""},"ShareCommon.StatePointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L73-L73","name":"ShareCommon.StatePointed","line":73,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StatePointed","doc":"Internally `State` is implemented as a pair `ObjectMap` and `ObjectSet` "},"ShareCommon.StateFactoryPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L33-L33","name":"ShareCommon.StateFactoryPointed","line":33,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryPointed","doc":""},"ShareCommon.StateFactoryImpl.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L31-L31","name":"ShareCommon.StateFactoryImpl.setInsert","line":31,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setInsert","doc":""},"ShareCommon.StateFactoryImpl.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L30-L30","name":"ShareCommon.StateFactoryImpl.setFind?","line":30,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setFind?","doc":""},"ShareCommon.StateFactoryImpl.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L27-L27","name":"ShareCommon.StateFactoryImpl.mkState","line":27,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mkState","doc":""},"ShareCommon.StateFactoryImpl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryImpl.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mk","doc":""},"ShareCommon.StateFactoryImpl.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L29-L29","name":"ShareCommon.StateFactoryImpl.mapInsert","line":29,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapInsert","doc":""},"ShareCommon.StateFactoryImpl.mapFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L28-L28","name":"ShareCommon.StateFactoryImpl.mapFind?","line":28,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapFind?","doc":""},"ShareCommon.StateFactoryImpl.Set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Set","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Set","doc":""},"ShareCommon.StateFactoryImpl.Map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Map","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Map","doc":""},"ShareCommon.StateFactoryImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L25-L31","name":"ShareCommon.StateFactoryImpl","line":25,"kind":"structure","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl","doc":""},"ShareCommon.StateFactoryBuilder.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L51-L51","name":"ShareCommon.StateFactoryBuilder.setInsert","line":51,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setInsert","doc":""},"ShareCommon.StateFactoryBuilder.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L50-L50","name":"ShareCommon.StateFactoryBuilder.setFind?","line":50,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setFind?","doc":""},"ShareCommon.StateFactoryBuilder.mkSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L49-L49","name":"ShareCommon.StateFactoryBuilder.mkSet","line":49,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkSet","doc":""},"ShareCommon.StateFactoryBuilder.mkMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L45-L45","name":"ShareCommon.StateFactoryBuilder.mkMap","line":45,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkMap","doc":""},"ShareCommon.StateFactoryBuilder.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryBuilder.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mk","doc":""},"ShareCommon.StateFactoryBuilder.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L47-L47","nam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≈ y` is the distinguished equivalence relation of a setoid. "},"Setoid.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1081-L1081","name":"Setoid.mk","line":1081,"kind":"ctor","docLink":"./Init/Core.html#Setoid.mk","doc":""},"Setoid.iseqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1085-L1085","name":"Setoid.iseqv","line":1085,"kind":"def","docLink":"./Init/Core.html#Setoid.iseqv","doc":"The relation `x ≈ y` is an equivalence relation. "},"Setoid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1081-L1085","name":"Setoid","line":1081,"kind":"class","docLink":"./Init/Core.html#Setoid","doc":"A setoid is a type with a distinguished equivalence relation, denoted `≈`.\nThis is mainly used as input to the `Quotient` type constructor.\n"},"SeqRight.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2716-L2716","name":"SeqRight.seqRight","line":2716,"kind":"def","docLink":"./Init/Prelude.html#SeqRight.seqRight","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2710-L2710","name":"SeqRight.mk","line":2710,"kind":"ctor","docLink":"./Init/Prelude.html#SeqRight.mk","doc":""},"SeqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2710-L2716","name":"SeqRight","line":2710,"kind":"class","docLink":"./Init/Prelude.html#SeqRight","doc":"The typeclass which supplies the `*>` \"seqRight\" function. See `Applicative`. "},"SeqLeft.seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2707-L2707","name":"SeqLeft.seqLeft","line":2707,"kind":"def","docLink":"./Init/Prelude.html#SeqLeft.seqLeft","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2701-L2701","name":"SeqLeft.mk","line":2701,"kind":"ctor","docLink":"./Init/Prelude.html#SeqLeft.mk","doc":""},"SeqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2701-L2707","name":"SeqLeft","line":2701,"kind":"class","docLink":"./Init/Prelude.html#SeqLeft","doc":"The typeclass which supplies the `<*` \"seqLeft\" function. See `Applicative`. "},"Seq.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2698-L2698","name":"Seq.seq","line":2698,"kind":"def","docLink":"./Init/Prelude.html#Seq.seq","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"Seq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2691-L2691","name":"Seq.mk","line":2691,"kind":"ctor","docLink":"./Init/Prelude.html#Seq.mk","doc":""},"Seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2691-L2698","name":"Seq","line":2691,"kind":"class","docLink":"./Init/Prelude.html#Seq","doc":"The typeclass which supplies the `<*>` \"seq\" function. See `Applicative`. "},"STWorld.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L20-L20","name":"STWorld.mk","line":20,"kind":"ctor","docLink":"./Init/System/ST.html#STWorld.mk","doc":""},"STWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L20-L20","name":"STWorld","line":20,"kind":"class","docLink":"./Init/System/ST.html#STWorld","doc":""},"ST.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L102-L102","name":"ST.mkRef","line":102,"kind":"def","docLink":"./Init/System/ST.html#ST.mkRef","doc":""},"ST.instNonemptyRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L52-L53","name":"ST.instNonemptyRef","line":52,"kind":"instance","docLink":"./Init/System/ST.html#ST.instNonemptyRef","doc":""},"ST.RefPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L46-L46","name":"ST.RefPointed","line":46,"kind":"opaque","docLink":"./Init/System/ST.html#ST.RefPointed","doc":"References 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"},"Repr.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L17-L17","name":"Repr.reprPrec","line":17,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.reprPrec","doc":""},"Repr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L16-L16","name":"Repr.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Repr.html#Repr.mk","doc":""},"Repr.addAppParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L46-L50","name":"Repr.addAppParen","line":46,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.addAppParen","doc":""},"Repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L16-L17","name":"Repr","line":16,"kind":"class","docLink":"./Init/Data/Repr.html#Repr","doc":""},"ReaderT.tryFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L35-L36","name":"ReaderT.tryFinally","line":35,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.tryFinally","doc":""},"ReaderT.run_seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L206-L207","name":"ReaderT.run_seqRight","line":206,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqRight","doc":""},"ReaderT.run_seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L209-L210","name":"ReaderT.run_seqLeft","line":209,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqLeft","doc":""},"ReaderT.run_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L203-L204","name":"ReaderT.run_seq","line":203,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seq","doc":""},"ReaderT.run_read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L201-L201","name":"ReaderT.run_read","line":201,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_read","doc":""},"ReaderT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L184-L184","name":"ReaderT.run_pure","line":184,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_pure","doc":""},"ReaderT.run_monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L198-L199","name":"ReaderT.run_monadMap","line":198,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadMap","doc":""},"ReaderT.run_monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L195-L196","name":"ReaderT.run_monadLift","line":195,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadLift","doc":""},"ReaderT.run_mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L189-L190","name":"ReaderT.run_mapConst","line":189,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_mapConst","doc":""},"ReaderT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L192-L193","name":"ReaderT.run_map","line":192,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_map","doc":""},"ReaderT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L186-L187","name":"ReaderT.run_bind","line":186,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_bind","doc":""},"ReaderT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2945-L2946","name":"ReaderT.run","line":2945,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.run","doc":"If `x : ReaderT ρ m α` and `r : ρ`, then `x.run r : ρ` runs the monad with the\ngiven reader state.\n"},"ReaderT.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2968-L2969","name":"ReaderT.read","line":2968,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.read","doc":"`(← read) : ρ` gets the read-only state of a `ReaderT ρ`. "},"ReaderT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2973-L2974","name":"ReaderT.pure","line":2973,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.pure","doc":"The `pure` operation of the `ReaderT` monad. "},"ReaderT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L16-L17","name":"ReaderT.orElse","line":16,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.orElse","doc":""},"ReaderT.instMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2993-L2994","name":"ReaderT.instMonadReaderT","line":2993,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadReaderT","doc":""},"ReaderT.instMonadLiftReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2953-L2954","name":"ReaderT.instMonadLiftReaderT","line":2953,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadLiftReaderT","doc":""},"ReaderT.instMonadFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2996-L2997","name":"ReaderT.instMonadFunctorReaderT","line":2996,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadFunctorReaderT","doc":""},"ReaderT.instMonadExceptOfReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2957-L2959","name":"ReaderT.instMonadExceptOfReaderT","line":2957,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadExceptOfReaderT","doc":""},"ReaderT.instLawfulMonadReaderTInstMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L225-L229","name":"ReaderT.instLawfulMonadReaderTInstMonadReaderT","line":225,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulMonadReaderTInstMonadReaderT","doc":""},"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L212-L215","name":"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","line":212,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","doc":""},"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L217-L223","name":"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","line":217,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","doc":""},"ReaderT.instFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2982-L2984","name":"ReaderT.instFunctorReaderT","line":2982,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instFunctorReaderT","doc":""},"ReaderT.instApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2987-L2991","name":"ReaderT.instApplicativeReaderT","line":2987,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instApplicativeReaderT","doc":""},"ReaderT.instAlternativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L23-L25","name":"ReaderT.instAlternativeReaderT","line":23,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.instAlternativeReaderT","doc":""},"ReaderT.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L20-L21","name":"ReaderT.failure","line":20,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.failure","doc":""},"ReaderT.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L180-L182","name":"ReaderT.ext","line":180,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.ext","doc":""},"ReaderT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2978-L2979","name":"ReaderT.bind","line":2978,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.bind","doc":"The `bind` operation of the `ReaderT` monad. "},"ReaderT.adapt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3004-L3005","name":"ReaderT.adapt","line":3004,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.adapt","doc":"`adapt (f : ρ' → ρ)` precomposes function `f` on the reader state of a\n`ReaderT ρ`, yielding a `ReaderT ρ'`.\n"},"ReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2934-L2935","name":"ReaderT","line":2934,"kind":"def","docLink":"./Init/Prelude.html#ReaderT","doc":"An implementation of Haskell's [`ReaderT`]. This is a monad transformer which\nequips a monad with additional read-only state, of type `ρ`.\n\n [`ReaderT`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Reader.html#t:ReaderT\n"},"ReaderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L38-L38","name":"ReaderM","line":38,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderM","doc":""},"RandomGen.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L29-L29","name":"RandomGen.split","line":29,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.split","doc":"The 'split' operation allows one to obtain two distinct random number\ngenerators. This is very useful in functional programs (for example, when\npassing a random number generator down to recursive calls). "},"RandomGen.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L20-L20","name":"RandomGen.range","line":20,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.range","doc":"`range` returns the range of values returned by\nthe generator. "},"RandomGen.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L24-L24","name":"RandomGen.next","line":24,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.next","doc":"`next` operation returns a natural number that is uniformly distributed\n the range returned by `range` (including both end points),\nand a new generator. "},"RandomGen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L17-L17","name":"RandomGen.mk","line":17,"kind":"ctor","docLink":"./Init/Data/Random.html#RandomGen.mk","doc":""},"RandomGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L17-L29","name":"RandomGen","line":17,"kind":"class","docLink":"./Init/Data/Random.html#RandomGen","doc":"Interface for random number generators. "},"Quotient.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1344-L1345","name":"Quotient.sound","line":1344,"kind":"def","docLink":"./Init/Core.html#Quotient.sound","doc":"The analogue of `Quot.sound`: If `a` and `b` are related by the equivalence relation,\nthen they have equal equivalence classes.\n"},"Quotient.recOnSubsingleton₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1511-L1524","name":"Quotient.recOnSubsingleton₂","line":1511,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1401-L1406","name":"Quotient.recOnSubsingleton","line":1401,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton","doc":"The analogue of `Quot.recOnSubsingleton` for `Quotient`. See `Quot.recOnSubsingleton`. "},"Quotient.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1392-L1397","name":"Quotient.recOn","line":1392,"kind":"def","docLink":"./Init/Core.html#Quotient.recOn","doc":"The analogue of `Quot.recOn` for `Quotient`. See `Quot.recOn`. "},"Quotient.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1383-L1388","name":"Quotient.rec","line":1383,"kind":"def","docLink":"./Init/Core.html#Quotient.rec","doc":"The analogue of `Quot.rec` for `Quotient`. See `Quot.rec`. "},"Quotient.mk'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1337-L1338","name":"Quotient.mk'","line":1337,"kind":"def","docLink":"./Init/Core.html#Quotient.mk'","doc":"The canonical quotient map into a `Quotient`.\n(This synthesizes the setoid by typeclass inference.)\n"},"Quotient.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1330-L1331","name":"Quotient.mk","line":1330,"kind":"def","docLink":"./Init/Core.html#Quotient.mk","doc":"The canonical quotient map into a `Quotient`. "},"Quotient.lift₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1424-L1432","name":"Quotient.lift₂","line":1424,"kind":"def","docLink":"./Init/Core.html#Quotient.lift₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1435-L1441","name":"Quotient.liftOn₂","line":1435,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1362-L1363","name":"Quotient.liftOn","line":1362,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn","doc":"The analogue of `Quot.liftOn`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift (mk a) f h = f a`.\n"},"Quotient.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1351-L1352","name":"Quotient.lift","line":1351,"kind":"def","docLink":"./Init/Core.html#Quotient.lift","doc":"The analogue of `Quot.lift`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift f h (mk a) = f a`.\n"},"Quotient.ind₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1444-L1452","name":"Quotient.ind₂","line":1444,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind₂","doc":""},"Quotient.inductionOn₃":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1466-L1477","name":"Quotient.inductionOn₃","line":1466,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₃","doc":""},"Quotient.inductionOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1455-L1463","name":"Quotient.inductionOn₂","line":1455,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₂","doc":""},"Quotient.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1367-L1371","name":"Quotient.inductionOn","line":1367,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn","doc":"The analogue of `Quot.inductionOn`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1355-L1356","name":"Quotient.ind","line":1355,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind","doc":"The analogue of `Quot.ind`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1410-L1415","name":"Quotient.hrecOn","line":1410,"kind":"def","docLink":"./Init/Core.html#Quotient.hrecOn","doc":"The analogue of `Quot.hrecOn` for `Quotient`. See `Quot.hrecOn`. "},"Quotient.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1373-L1374","name":"Quotient.exists_rep","line":1373,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exists_rep","doc":""},"Quotient.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1499-L1500","name":"Quotient.exact","line":1499,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exact","doc":""},"Quotient":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1323-L1324","name":"Quotient","line":1323,"kind":"def","docLink":"./Init/Core.html#Quotient","doc":"`Quotient α s` is the same as `Quot α r`, but it is specialized to a setoid `s`\n(that is, an equivalence relation) instead of an arbitrary relation.\nPrefer `Quotient` over `Quot` if your relation is actually an equivalence relation.\n"},"Quot.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1209-L1209","name":"Quot.sound","line":1209,"kind":"axiom","docLink":"./Init/Core.html#Quot.sound","doc":"The **quotient axiom**, or at least the nontrivial part of the quotient\naxiomatization. Quotient types are introduced by the `init_quot` command\nin `Init.Prelude` which introduces the axioms:\n\n```\nopaque Quot {α : Sort u} (r : α → α → Prop) : Sort u\n\nopaque Quot.mk {α : Sort u} (r : α → α → Prop) (a : α) : Quot r\n\nopaque Quot.lift {α : Sort u} {r : α → α → Prop} {β : Sort v} (f : α → β) :\n (∀ a b : α, r a b → f a = f b) → Quot r → β\n\nopaque Quot.ind {α : Sort u} {r : α → α → Prop} {β : Quot r → Prop} :\n (∀ a : α, β (Quot.mk r a)) → ∀ q : Quot r, β q\n```\nAll of these axioms are true if we assume `Quot α r = α` and `Quot.mk` and\n`Quot.lift` are identity functions, so they do not add much. However this axiom\ncannot be explained in that way (it is false for that interpretation), so the\nreal power of quotient types come from this axiom.\n\nIt says that the quotient by `r` maps elements which are related by `r` to equal\nvalues in the quotient. Together with `Quot.lift` which says that functions\nwhich respect `r` can be lifted to functions on the quotient, we can deduce that\n`Quot α r` exactly consists of the equivalence classes with respect to `r`.\n\nIt is important to note that `r` need not be an equivalence relation in this axiom.\nWhen `r` is not an equivalence relation, we are actually taking a quotient with\nrespect to the equivalence relation generated by `r`.\n"},"Quot.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1291-L1298","name":"Quot.recOnSubsingleton","line":1291,"kind":"def","docLink":"./Init/Core.html#Quot.recOnSubsingleton","doc":"Dependent induction principle for a quotient, when the target type is a `Subsingleton`.\nIn this case the quotient's side condition is trivial so any function can be lifted.\n"},"Quot.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1280-L1285","name":"Quot.recOn","line":1280,"kind":"def","docLink":"./Init/Core.html#Quot.recOn","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1274-L1278","name":"Quot.rec","line":1274,"kind":"def","docLink":"./Init/Core.html#Quot.rec","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1228-L1230","name":"Quot.liftOn","line":1228,"kind":"def","docLink":"./Init/Core.html#Quot.liftOn","doc":"`Quot.liftOn q f h` is the same as `Quot.lift f h q`. It just reorders\nthe argument `q : Quot r` to be first.\n"},"Quot.liftIndepPr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1258-L1264","name":"Quot.liftIndepPr1","line":1258,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftIndepPr1","doc":""},"Quot.liftBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1211-L1216","name":"Quot.liftBeta","line":1211,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftBeta","doc":""},"Quot.lcInv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L429-L429","name":"Quot.lcInv","line":429,"kind":"axiom","docLink":"./Init/Prelude.html#Quot.lcInv","doc":"Unsafe auxiliary constant used by the compiler to erase `Quot.lift`.\n"},"Quot.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1233-L1237","name":"Quot.inductionOn","line":1233,"kind":"theorem","docLink":"./Init/Core.html#Quot.inductionOn","doc":""},"Quot.indepCoherent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1252-L1256","name":"Quot.indepCoherent","line":1252,"kind":"theorem","docLink":"./Init/Core.html#Quot.indepCoherent","doc":""},"Quot.indep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1249-L1250","name":"Quot.indep","line":1249,"kind":"def","docLink":"./Init/Core.html#Quot.indep","doc":"Auxiliary definition for `Quot.rec`. "},"Quot.indBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1218-L1222","name":"Quot.indBeta","line":1218,"kind":"theorem","docLink":"./Init/Core.html#Quot.indBeta","doc":""},"Quot.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1305-L1312","name":"Quot.hrecOn","line":1305,"kind":"def","docLink":"./Init/Core.html#Quot.hrecOn","doc":"Heterogeneous dependent recursion principle for a quotient.\nThis may be easier to work with since it uses `HEq` instead of\nan `Eq.ndrec` in the hypothesis.\n"},"Quot.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1239-L1240","name":"Quot.exists_rep","line":1239,"kind":"theorem","docLink":"./Init/Core.html#Quot.exists_rep","doc":""},"Pure.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2670-L2670","name":"Pure.pure","line":2670,"kind":"def","docLink":"./Init/Prelude.html#Pure.pure","doc":"If `a : α`, then `pure a : f α` represents a monadic action that does\nnothing and returns `a`. "},"Pure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2667-L2667","name":"Pure.mk","line":2667,"kind":"ctor","docLink":"./Init/Prelude.html#Pure.mk","doc":""},"Pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2667-L2670","name":"Pure","line":2667,"kind":"class","docLink":"./Init/Prelude.html#Pure","doc":"The typeclass which supplies the `pure` function. See `Monad`. "},"Prod.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L470-L470","name":"Prod.snd","line":470,"kind":"def","docLink":"./Init/Prelude.html#Prod.snd","doc":"The second projection out of a pair. if `p : α × β` then `p.2 : β`. "},"Prod.rprod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L250-L255","name":"Prod.rprod","line":250,"kind":"def","docLink":"./Init/WF.html#Prod.rprod","doc":""},"Prod.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L92-L93","name":"Prod.repr","line":92,"kind":"def","docLink":"./Init/Data/Repr.html#Prod.repr","doc":""},"Prod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L466-L466","name":"Prod.mk","line":466,"kind":"ctor","docLink":"./Init/Prelude.html#Prod.mk","doc":""},"Prod.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1043-L1045","name":"Prod.map","line":1043,"kind":"def","docLink":"./Init/Core.html#Prod.map","doc":"`Prod.map f g : α₁ × β₁ → α₂ × β₂` maps across a pair\nby applying `f` to the first component and `g` to the second.\n"},"Prod.lexLt_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1034-L1035","name":"Prod.lexLt_def","line":1034,"kind":"theorem","docLink":"./Init/Core.html#Prod.lexLt_def","doc":""},"Prod.lexLtDec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1028-L1032","name":"Prod.lexLtDec","line":1028,"kind":"instance","docLink":"./Init/Core.html#Prod.lexLtDec","doc":""},"Prod.lexLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1025-L1026","name":"Prod.lexLt","line":1025,"kind":"def","docLink":"./Init/Core.html#Prod.lexLt","doc":"Lexicographical order for products "},"Prod.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L225-L234","name":"Prod.lexAccessible","line":225,"kind":"def","docLink":"./Init/WF.html#Prod.lexAccessible","doc":""},"Prod.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L237-L239","name":"Prod.lex","line":237,"kind":"def","docLink":"./Init/WF.html#Prod.lex","doc":""},"Prod.instWellFoundedRelationProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L241-L242","name":"Prod.instWellFoundedRelationProd","line":241,"kind":"instance","docLink":"./Init/WF.html#Prod.instWellFoundedRelationProd","doc":""},"Prod.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L468-L468","name":"Prod.fst","line":468,"kind":"def","docLink":"./Init/Prelude.html#Prod.fst","doc":"The first projection out of a pair. if `p : α × β` then `p.1 : α`. "},"Prod.foldI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L776-L777","name":"Prod.foldI","line":776,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.foldI","doc":"`(start, stop).foldI f a` evaluates `f` on all the numbers\nfrom `start` (inclusive) to `stop` (exclusive) in increasing order:\n* `(5, 8).foldI f init = init |> f 5 |> f 6 |> f 7`\n"},"Prod.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1037-L1037","name":"Prod.eta","line":1037,"kind":"theorem","docLink":"./Init/Core.html#Prod.eta","doc":""},"Prod.anyI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L784-L785","name":"Prod.anyI","line":784,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.anyI","doc":"`(start, stop).anyI f a` returns true if `f` is true for some natural number\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 || f 6 || f 7`\n"},"Prod.allI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L792-L793","name":"Prod.allI","line":792,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.allI","doc":"`(start, stop).allI f a` returns true if `f` is true for all natural numbers\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 && f 6 && f 7`\n"},"Prod.RProdSubLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L245-L247","name":"Prod.RProdSubLex","line":245,"kind":"def","docLink":"./Init/WF.html#Prod.RProdSubLex","doc":""},"Prod.RProd.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L217-L217","name":"Prod.RProd.intro","line":217,"kind":"ctor","docLink":"./Init/WF.html#Prod.RProd.intro","doc":""},"Prod.RProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L216-L217","name":"Prod.RProd","line":216,"kind":"inductive","docLink":"./Init/WF.html#Prod.RProd","doc":""},"Prod.Lex.right'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L210-L213","name":"Prod.Lex.right'","line":210,"kind":"def","docLink":"./Init/WF.html#Prod.Lex.right'","doc":""},"Prod.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L207-L207","name":"Prod.Lex.right","line":207,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.right","doc":""},"Prod.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L206-L206","name":"Prod.Lex.left","line":206,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.left","doc":""},"Prod.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L205-L207","name":"Prod.Lex","line":205,"kind":"inductive","docLink":"./Init/WF.html#Prod.Lex","doc":""},"Prod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L466-L470","name":"Prod","line":466,"kind":"structure","docLink":"./Init/Prelude.html#Prod","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"Pow.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1303-L1303","name":"Pow.pow","line":1303,"kind":"def","docLink":"./Init/Prelude.html#Pow.pow","doc":"`a ^ b` computes `a` to the power of `b`. See `HPow`. "},"Pow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1301-L1301","name":"Pow.mk","line":1301,"kind":"ctor","docLink":"./Init/Prelude.html#Pow.mk","doc":""},"Pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1301-L1303","name":"Pow","line":1301,"kind":"class","docLink":"./Init/Prelude.html#Pow","doc":"The homogeneous version of `HPow`: `a ^ b : α` where `a : α`, `b : β`.\n(The right argument is not the same as the left since we often want this even\nin the homogeneous case.)\n"},"Parser.Attr.TypedUserSemantics.regionDom":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"Parser.Attr.TypedUserSemantics.regionCod":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"Parser.Attr.TypedUserSemantics.outUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"Parser.Attr.TypedUserSemantics.eval":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"Parser.Attr.TypedUserSemantics.argUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"Parser.Attr.Option.bind":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"Parser.Attr.Bind.bind":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"PUnit.unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L110-L111","name":"PUnit.unit","line":110,"kind":"ctor","docLink":"./Init/Prelude.html#PUnit.unit","doc":"`PUnit.unit : PUnit` is the canonical element of the unit type. "},"PUnit.subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1060-L1061","name":"PUnit.subsingleton","line":1060,"kind":"theorem","docLink":"./Init/Core.html#PUnit.subsingleton","doc":""},"PUnit.eq_punit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1063-L1064","name":"PUnit.eq_punit","line":1063,"kind":"theorem","docLink":"./Init/Core.html#PUnit.eq_punit","doc":""},"PUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L109-L111","name":"PUnit","line":109,"kind":"inductive","docLink":"./Init/Prelude.html#PUnit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nThis is the universe-polymorphic version of `Unit`; it is preferred to use\n`Unit` instead where applicable.\nFor more information about universe levels: [Types as objects](https://leanprover.github.io/theorem_proving_in_lean4/dependent_type_theory.html#types-as-objects)\n"},"PSum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L124-L125","name":"PSum.inr","line":124,"kind":"ctor","docLink":"./Init/Core.html#PSum.inr","doc":"Right injection into the sum type `α ⊕' β`. If `b : β` then `.inr b : α ⊕' β`. "},"PSum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L122-L123","name":"PSum.inl","line":122,"kind":"ctor","docLink":"./Init/Core.html#PSum.inl","doc":"Left injection into the sum type `α ⊕' β`. If `a : α` then `.inl a : α ⊕' β`. "},"PSum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L121-L125","name":"PSum","line":121,"kind":"inductive","docLink":"./Init/Core.html#PSum","doc":"`PSum α β`, or `α ⊕' β`, is the disjoint union of types `α` and `β`.\nIt differs from `α ⊕ β` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `True ⊕' Nat`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSum` is usually only used in automation that constructs sums of arbitrary types.\n"},"PSigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L169-L169","name":"PSigma.snd","line":169,"kind":"def","docLink":"./Init/Core.html#PSigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"PSigma.skipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L342-L344","name":"PSigma.skipLeft","line":342,"kind":"def","docLink":"./Init/WF.html#PSigma.skipLeft","doc":""},"PSigma.revLexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L322-L332","name":"PSigma.revLexAccessible","line":322,"kind":"def","docLink":"./Init/WF.html#PSigma.revLexAccessible","doc":""},"PSigma.revLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L334-L335","name":"PSigma.revLex","line":334,"kind":"def","docLink":"./Init/WF.html#PSigma.revLex","doc":""},"PSigma.mkSkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L346-L347","name":"PSigma.mkSkipLeft","line":346,"kind":"def","docLink":"./Init/WF.html#PSigma.mkSkipLeft","doc":""},"PSigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L165-L165","name":"PSigma.mk","line":165,"kind":"ctor","docLink":"./Init/Core.html#PSigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : PSigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"PSigma.lexNdepWf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L304-L305","name":"PSigma.lexNdepWf","line":304,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdepWf","doc":""},"PSigma.lexNdep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L301-L302","name":"PSigma.lexNdep","line":301,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdep","doc":""},"PSigma.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L277-L286","name":"PSigma.lexAccessible","line":277,"kind":"def","docLink":"./Init/WF.html#PSigma.lexAccessible","doc":""},"PSigma.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L289-L291","name":"PSigma.lex","line":289,"kind":"def","docLink":"./Init/WF.html#PSigma.lex","doc":""},"PSigma.instWellFoundedRelationPSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L293-L294","name":"PSigma.instWellFoundedRelationPSigma","line":293,"kind":"instance","docLink":"./Init/WF.html#PSigma.instWellFoundedRelationPSigma","doc":""},"PSigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L167-L167","name":"PSigma.fst","line":167,"kind":"def","docLink":"./Init/Core.html#PSigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"PSigma.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1052-L1056","name":"PSigma.eta","line":1052,"kind":"theorem","docLink":"./Init/Core.html#PSigma.eta","doc":""},"PSigma.SkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L339-L340","name":"PSigma.SkipLeft","line":339,"kind":"def","docLink":"./Init/WF.html#PSigma.SkipLeft","doc":""},"PSigma.RevLex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L314-L314","name":"PSigma.RevLex.right","line":314,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.right","doc":""},"PSigma.RevLex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L313-L313","name":"PSigma.RevLex.left","line":313,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.left","doc":""},"PSigma.RevLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L312-L314","name":"PSigma.RevLex","line":312,"kind":"inductive","docLink":"./Init/WF.html#PSigma.RevLex","doc":""},"PSigma.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L270-L270","name":"PSigma.Lex.right","line":270,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.right","doc":""},"PSigma.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L269-L269","name":"PSigma.Lex.left","line":269,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.left","doc":""},"PSigma.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L268-L270","name":"PSigma.Lex","line":268,"kind":"inductive","docLink":"./Init/WF.html#PSigma.Lex","doc":""},"PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L161-L169","name":"PSigma","line":161,"kind":"structure","docLink":"./Init/Core.html#PSigma","doc":"`PSigma β`, also denoted `Σ' a : α, β a` or `(a : α) ×' β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt differs from `Σ a : α, β a` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `(p : Nat) ×' p = p`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSigma` is usually only used in automation that constructs pairs of arbitrary types.\n"},"PProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L482-L482","name":"PProd.snd","line":482,"kind":"def","docLink":"./Init/Prelude.html#PProd.snd","doc":"The second projection out of a pair. if `p : PProd α β` then `p.2 : β`. "},"PProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L478-L478","name":"PProd.mk","line":478,"kind":"ctor","docLink":"./Init/Prelude.html#PProd.mk","doc":""},"PProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L480-L480","name":"PProd.fst","line":480,"kind":"def","docLink":"./Init/Prelude.html#PProd.fst","doc":"The first projection out of a pair. if `p : PProd α β` then `p.1 : α`. "},"PProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L478-L482","name":"PProd","line":478,"kind":"structure","docLink":"./Init/Prelude.html#PProd","doc":"Similar to `Prod`, but `α` and `β` can be propositions.\nWe use this type internally to automatically generate the `brecOn` recursor.\n"},"PNonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L454-L455","name":"PNonScalar.mk","line":454,"kind":"ctor","docLink":"./Init/Core.html#PNonScalar.mk","doc":"You should not use this function "},"PNonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L453-L455","name":"PNonScalar","line":453,"kind":"inductive","docLink":"./Init/Core.html#PNonScalar","doc":"`PNonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n\nThis is the universe-polymorphic version of `PNonScalar`; it is preferred to use\n`NonScalar` instead where applicable.\n"},"PLift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L757-L757","name":"PLift.up_down","line":757,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.up_down","doc":"Bijection between `α` and `PLift α` "},"PLift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L753-L753","name":"PLift.up","line":753,"kind":"ctor","docLink":"./Init/Prelude.html#PLift.up","doc":"Lift a value into `PLift α` "},"PLift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L760-L760","name":"PLift.down_up","line":760,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.down_up","doc":"Bijection between `α` and `PLift α` "},"PLift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L754-L754","name":"PLift.down","line":754,"kind":"def","docLink":"./Init/Prelude.html#PLift.down","doc":"Extract a value from `PLift α` "},"PLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L752-L754","name":"PLift","line":752,"kind":"structure","docLink":"./Init/Prelude.html#PLift","doc":"Universe lifting operation from `Sort u` to `Type u`. "},"PEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L202-L202","name":"PEmpty","line":202,"kind":"inductive","docLink":"./Init/Prelude.html#PEmpty","doc":"The universe-polymorphic empty type. Prefer `Empty` or `False` where\npossible.\n"},"Ordering.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.lt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.lt","doc":""},"Ordering.isLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L74-L77","name":"Ordering.isLE","line":74,"kind":"def","docLink":"./Init/Data/Ord.html#Ordering.isLE","doc":""},"Ordering.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.gt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.gt","doc":""},"Ordering.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.eq","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.eq","doc":""},"Ordering":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L11-L13","name":"Ordering","line":11,"kind":"inductive","docLink":"./Init/Data/Ord.html#Ordering","doc":""},"Ord.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L16-L16","name":"Ord.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ord.mk","doc":""},"Ord.compare":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L17-L17","name":"Ord.compare","line":17,"kind":"def","docLink":"./Init/Data/Ord.html#Ord.compare","doc":""},"Ord":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L16-L17","name":"Ord","line":16,"kind":"class","docLink":"./Init/Data/Ord.html#Ord","doc":""},"OrOp.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1347-L1347","name":"OrOp.or","line":1347,"kind":"def","docLink":"./Init/Prelude.html#OrOp.or","doc":"The implementation of `a ||| b : α`. See `HOr`. "},"OrOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1345-L1345","name":"OrOp.mk","line":1345,"kind":"ctor","docLink":"./Init/Prelude.html#OrOp.mk","doc":""},"OrOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1345-L1347","name":"OrOp","line":1345,"kind":"class","docLink":"./Init/Prelude.html#OrOp","doc":"The homogeneous version of `HOr`: `a ||| b : α` where `a b : α`.\n(It is called `OrOp` because `Or` is taken for the propositional connective.)\n"},"OrElse.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1317-L1317","name":"OrElse.orElse","line":1317,"kind":"def","docLink":"./Init/Prelude.html#OrElse.orElse","doc":"The implementation of `a <|> b : α`. See `HOrElse`. "},"OrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1315-L1315","name":"OrElse.mk","line":1315,"kind":"ctor","docLink":"./Init/Prelude.html#OrElse.mk","doc":""},"OrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1315-L1317","name":"OrElse","line":1315,"kind":"class","docLink":"./Init/Prelude.html#OrElse","doc":"The homogeneous version of `HOrElse`: `a <|> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"Or.intro_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L526-L527","name":"Or.intro_right","line":526,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_right","doc":"Alias for `Or.inr`. "},"Or.intro_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L522-L523","name":"Or.intro_left","line":522,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_left","doc":"Alias for `Or.inl`. "},"Or.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L518-L519","name":"Or.inr","line":518,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inr","doc":"`Or.inr` is \"right injection\" into an `Or`. If `h : b` then `Or.inr h : a ∨ b`. "},"Or.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L516-L517","name":"Or.inl","line":516,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inl","doc":"`Or.inl` is \"left injection\" into an `Or`. If `h : a` then `Or.inl h : a ∨ b`. "},"Or.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L533-L536","name":"Or.elim","line":533,"kind":"theorem","docLink":"./Init/Prelude.html#Or.elim","doc":"Proof by cases on an `Or`. If `a ∨ b`, and both `a` and `b` imply\nproposition `c`, then `c` is true.\n"},"Or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L515-L519","name":"Or","line":515,"kind":"inductive","docLink":"./Init/Prelude.html#Or","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"OptionT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L62-L64","name":"OptionT.tryCatch","line":62,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.tryCatch","doc":""},"OptionT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L19-L20","name":"OptionT.run","line":19,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.run","doc":""},"OptionT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L35-L36","name":"OptionT.pure","line":35,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.pure","doc":""},"OptionT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L43-L46","name":"OptionT.orElse","line":43,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.orElse","doc":""},"OptionT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L25-L26","name":"OptionT.mk","line":25,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.mk","doc":""},"OptionT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L55-L56","name":"OptionT.lift","line":55,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.lift","doc":""},"OptionT.instMonadOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L39-L41","name":"OptionT.instMonadOptionT","line":39,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadOptionT","doc":""},"OptionT.instMonadLiftOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L58-L58","name":"OptionT.instMonadLiftOptionT","line":58,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadLiftOptionT","doc":""},"OptionT.instMonadFunctorOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L60-L60","name":"OptionT.instMonadFunctorOptionT","line":60,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadFunctorOptionT","doc":""},"OptionT.instMonadExceptOfUnitOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L66-L68","name":"OptionT.instMonadExceptOfUnitOptionT","line":66,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfUnitOptionT","doc":""},"OptionT.instMonadExceptOfOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L70-L72","name":"OptionT.instMonadExceptOfOptionT","line":70,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfOptionT","doc":""},"OptionT.instAlternativeOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L51-L53","name":"OptionT.instAlternativeOptionT","line":51,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instAlternativeOptionT","doc":""},"OptionT.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L48-L49","name":"OptionT.fail","line":48,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.fail","doc":""},"OptionT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L29-L32","name":"OptionT.bind","line":29,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.bind","doc":""},"OptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L15-L16","name":"OptionT","line":15,"kind":"def","docLink":"./Init/Control/Option.html#OptionT","doc":""},"Option.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L110-L113","name":"Option.tryCatch","line":110,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.tryCatch","doc":""},"Option.toMonad":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L13-L15","name":"Option.toMonad","line":13,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toMonad","doc":""},"Option.toLOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/LOption.lean#L24-L26","name":"Option.toLOption","line":24,"kind":"def","docLink":"./Lean/Data/LOption.html#Option.toLOption","doc":""},"Option.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L17-L19","name":"Option.toBool","line":17,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toBool","doc":""},"Option.some_eq_pure":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"Option.some":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2142-L2143","name":"Option.some","line":2142,"kind":"ctor","docLink":"./Init/Prelude.html#Option.some","doc":"Some value of type `α`. "},"Option.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L67-L69","name":"Option.repr","line":67,"kind":"def","docLink":"./Init/Data/Repr.html#Option.repr","doc":""},"Option.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L58-L60","name":"Option.orElse","line":58,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.orElse","doc":""},"Option.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2140-L2141","name":"Option.none","line":2140,"kind":"ctor","docLink":"./Init/Prelude.html#Option.none","doc":"No value. "},"Option.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L78-L82","name":"Option.merge","line":78,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.merge","doc":"Take a pair of options and if they are both `some`, apply the given fn to produce an output.\nOtherwise act like `orElse`. "},"Option.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L43-L44","name":"Option.map_id","line":43,"kind":"theorem","docLink":"./Init/Data/Option/Basic.html#Option.map_id","doc":""},"Option.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L37-L41","name":"Option.mapM","line":37,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.mapM","doc":""},"Option.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2167-L2169","name":"Option.map","line":2167,"kind":"def","docLink":"./Init/Prelude.html#Option.map","doc":"Map a function over an `Option` by applying the function to the contained\nvalue if present.\n"},"Option.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L65-L68","name":"Option.lt","line":65,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.lt","doc":""},"Option.isSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L21-L23","name":"Option.isSome","line":21,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isSome","doc":""},"Option.isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L25-L27","name":"Option.isNone","line":25,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isNone","doc":""},"Option.isEqSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L29-L31","name":"Option.isEqSome","line":29,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isEqSome","doc":""},"Option.instOrElseOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L62-L63","name":"Option.instOrElseOption","line":62,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instOrElseOption","doc":""},"Option.instDecidableRelOptionLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L70-L74","name":"Option.instDecidableRelOptionLt","line":70,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instDecidableRelOptionLt","doc":""},"Option.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2159-L2161","name":"Option.getD","line":2159,"kind":"def","docLink":"./Init/Prelude.html#Option.getD","doc":"Get with default. If `opt : Option α` and `dflt : α`, then `opt.getD dflt`\nreturns `a` if `opt = some a` and `dflt` otherwise.\n\nThis function is `@[macro_inline]`, so `dflt` will not be evaluated unless\n`opt` turns out to be `none`.\n"},"Option.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/BasicAux.lean#L14-L16","name":"Option.get!","line":14,"kind":"def","docLink":"./Init/Data/Option/BasicAux.html#Option.get!","doc":""},"Option.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Instances.lean#L26-L28","name":"Option.format","line":26,"kind":"def","docLink":"./Init/Data/Format/Instances.html#Option.format","doc":""},"Option.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L46-L48","name":"Option.filter","line":46,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.filter","doc":""},"Option.eq_of_eq_some":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Instances.lean#L11-L15","name":"Option.eq_of_eq_some","line":11,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_of_eq_some","doc":""},"Option.eq_none_of_isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Instances.lean#L17-L18","name":"Option.eq_none_of_isNone","line":17,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_none_of_isNone","doc":""},"Option.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L33-L35","name":"Option.bind","line":33,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.bind","doc":""},"Option.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L54-L56","name":"Option.any","line":54,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.any","doc":""},"Option.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L50-L52","name":"Option.all","line":50,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.all","doc":""},"Option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2139-L2143","name":"Option","line":2139,"kind":"inductive","docLink":"./Init/Prelude.html#Option","doc":"`Option α` is the type of values which are either `some a` for some `a : α`,\nor `none`. In functional programming languages, this type is used to represent\nthe possibility of failure, or sometimes nullability.\n\nFor example, the function `HashMap.find? : HashMap α β → α → Option β` looks up\na specified key `a : α` inside the map. Because we do not know in advance\nwhether the key is actually in the map, the return type is `Option β`, where\n`none` means the value was not in the map, and `some b` means that the value\nwas found and `b` is the value retrieved.\n\nTo extract a value from an `Option α`, we use pattern matching:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n match x with\n | some a => some (f a)\n | none => none\n```\nWe can also use `if let` to pattern match on `Option` and get the value\nin the branch:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n if let some a := x then\n some (f a)\n else\n none\n```\n"},"Op.sub":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"Op.map2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"Op.fill2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"Op.extract2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"Op.constTensor":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"Op.constIx":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"Op.constInt":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"Op.add":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"Op":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"OfScientific.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L17-L17","name":"OfScientific.ofScientific","line":17,"kind":"def","docLink":"./Init/Data/OfScientific.html#OfScientific.ofScientific","doc":""},"OfScientific.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L16-L16","name":"OfScientific.mk","line":16,"kind":"ctor","docLink":"./Init/Data/OfScientific.html#OfScientific.mk","doc":""},"OfScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L16-L17","name":"OfScientific","line":16,"kind":"class","docLink":"./Init/Data/OfScientific.html#OfScientific","doc":"For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).\nExamples:\n- `OfScientific.ofScientific 123 true 2` represents `1.23`\n- `OfScientific.ofScientific 121 false 100` represents `121e100`\n"},"OfNat.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1066-L1066","name":"OfNat.ofNat","line":1066,"kind":"def","docLink":"./Init/Prelude.html#OfNat.ofNat","doc":"The `OfNat.ofNat` function is automatically inserted by the parser when\nthe user writes a numeric literal like `1 : α`. Implementations of this\ntypeclass can therefore customize the behavior of `n : α` based on `n` and\n`α`. "},"OfNat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1061-L1061","name":"OfNat.mk","line":1061,"kind":"ctor","docLink":"./Init/Prelude.html#OfNat.mk","doc":""},"OfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1061-L1066","name":"OfNat","line":1061,"kind":"class","docLink":"./Init/Prelude.html#OfNat","doc":"The class `OfNat α n` powers the numeric literal parser. If you write\n`37 : α`, lean will attempt to synthesize `OfNat α 37`, and will generate\nthe term `(OfNat.ofNat 37 : α)`.\n\nThere is a bit of infinite regress here since the desugaring apparently\nstill contains a literal `37` in it. The type of expressions contains a\nprimitive constructor for \"raw natural number literals\", which you can directly\naccess using the macro `nat_lit 37`. Raw number literals are always of type `Nat`.\nSo it would be more correct to say that lean looks for an instance of\n`OfNat α (nat_lit 37)`, and it generates the term `(OfNat.ofNat (nat_lit 37) : α)`.\n"},"Not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L211-L211","name":"Not","line":211,"kind":"def","docLink":"./Init/Prelude.html#Not","doc":"`Not p`, or `¬p`, is the negation of `p`. It is defined to be `p → False`,\nso if your goal is `¬p` you can use `intro h` to turn the goal into\n`h : p ⊢ False`, and if you have `hn : ¬p` and `h : p` then `hn h : False`\nand `(hn h).elim` will prove anything.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"NonemptyType.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L771-L772","name":"NonemptyType.type","line":771,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType.type","doc":"The underlying type of a `NonemptyType`. "},"NonemptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L768-L768","name":"NonemptyType","line":768,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType","doc":"`NonemptyType.{u}` is the type of nonempty types in universe `u`.\nIt is mainly used in constant declarations where we wish to introduce a type\nand simultaneously assert that it is nonempty, but otherwise make the type\nopaque.\n"},"Nonempty.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L687-L688","name":"Nonempty.intro","line":687,"kind":"ctor","docLink":"./Init/Prelude.html#Nonempty.intro","doc":"If `val : α`, then `α` is nonempty. "},"Nonempty.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L720-L722","name":"Nonempty.elim","line":720,"kind":"def","docLink":"./Init/Prelude.html#Nonempty.elim","doc":"The elimination principle for `Nonempty α`. If `Nonempty α`, and we can\nprove `p` given any element `x : α`, then `p` holds. Note that it is essential\nthat `p` is a `Prop` here; the version with `p` being a `Sort u` is equivalent\nto `Classical.choice`.\n"},"Nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L686-L688","name":"Nonempty","line":686,"kind":"class","docLink":"./Init/Prelude.html#Nonempty","doc":"`Nonempty α` is a typeclass that says that `α` is not an empty type,\nthat is, there exists an element in the type. It differs from `Inhabited α`\nin that `Nonempty α` is a `Prop`, which means that it does not actually carry\nan element of `α`, only a proof that *there exists* such an element.\nGiven `Nonempty α`, you can construct an element of `α` *nonconstructively*\nusing `Classical.choice`.\n"},"NonScalar.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L442-L442","name":"NonScalar.val","line":442,"kind":"def","docLink":"./Init/Core.html#NonScalar.val","doc":"You should not use this function "},"NonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L441-L441","name":"NonScalar.mk","line":441,"kind":"ctor","docLink":"./Init/Core.html#NonScalar.mk","doc":"You should not use this function "},"NonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L440-L442","name":"NonScalar","line":440,"kind":"structure","docLink":"./Init/Core.html#NonScalar","doc":"`NonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n"},"Neg.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1284-L1284","name":"Neg.neg","line":1284,"kind":"def","docLink":"./Init/Prelude.html#Neg.neg","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"Neg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1281-L1281","name":"Neg.mk","line":1281,"kind":"ctor","docLink":"./Init/Prelude.html#Neg.mk","doc":""},"Neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1281-L1284","name":"Neg","line":1281,"kind":"class","docLink":"./Init/Prelude.html#Neg","doc":"The notation typeclass for negation.\nThis enables the notation `-a : α` where `a : α`.\n"},"Ne.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L575-L576","name":"Ne.symm","line":575,"kind":"theorem","docLink":"./Init/Core.html#Ne.symm","doc":""},"Ne.irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L573-L573","name":"Ne.irrefl","line":573,"kind":"theorem","docLink":"./Init/Core.html#Ne.irrefl","doc":""},"Ne.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L569-L569","name":"Ne.intro","line":569,"kind":"theorem","docLink":"./Init/Core.html#Ne.intro","doc":""},"Ne.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L571-L571","name":"Ne.elim","line":571,"kind":"theorem","docLink":"./Init/Core.html#Ne.elim","doc":""},"Ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L560-L561","name":"Ne","line":560,"kind":"def","docLink":"./Init/Core.html#Ne","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"Nat.zero_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L629-L632","name":"Nat.zero_sub","line":629,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_sub","doc":""},"Nat.zero_ne_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L429-L430","name":"Nat.zero_ne_one","line":429,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_ne_one","doc":""},"Nat.zero_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L165-L167","name":"Nat.zero_mul","line":165,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_mul","doc":""},"Nat.zero_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L147-L152","name":"Nat.zero_mod","line":147,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.zero_mod","doc":""},"Nat.zero_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1586-L1587","name":"Nat.zero_lt_succ","line":1586,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_lt_succ","doc":""},"Nat.zero_lt_sub_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L547-L555","name":"Nat.zero_lt_sub_of_lt","line":547,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_sub_of_lt","doc":""},"Nat.zero_lt_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L401-L402","name":"Nat.zero_lt_one","line":401,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_one","doc":""},"Nat.zero_lt_of_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L322-L325","name":"Nat.zero_lt_of_ne_zero","line":322,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_ne_zero","doc":""},"Nat.zero_lt_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L316-L320","name":"Nat.zero_lt_of_lt","line":316,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_lt","doc":""},"Nat.zero_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1578-L1580","name":"Nat.zero_le","line":1578,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_le","doc":""},"Nat.zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L83-L83","name":"Nat.zero_eq","line":83,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_eq","doc":""},"Nat.zero_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L114-L116","name":"Nat.zero_add","line":114,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_add","doc":""},"Nat.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1039-L1041","name":"Nat.zero","line":1039,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.zero","doc":"`Nat.zero`, normally written `0 : Nat`, is the smallest natural number.\nThis is one of the two constructors of `Nat`. "},"Nat.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L38-L38","name":"Nat.xor","line":38,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.xor","doc":""},"Nat.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L292-L292","name":"Nat.toUSize","line":292,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUSize","doc":""},"Nat.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L14-L14","name":"Nat.toUInt8","line":14,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt8","doc":""},"Nat.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L207-L207","name":"Nat.toUInt64","line":207,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt64","doc":""},"Nat.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L155-L155","name":"Nat.toUInt32","line":155,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt32","doc":""},"Nat.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L81-L81","name":"Nat.toUInt16","line":81,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt16","doc":""},"Nat.toSuperscriptString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L162-L163","name":"Nat.toSuperscriptString","line":162,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperscriptString","doc":""},"Nat.toSuperDigitsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L152-L157","name":"Nat.toSuperDigitsAux","line":152,"kind":"opaque","docLink":"./Init/Data/Repr.html#Nat.toSuperDigitsAux","doc":""},"Nat.toSuperDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L159-L160","name":"Nat.toSuperDigits","line":159,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperDigits","doc":""},"Nat.toLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L640-L641","name":"Nat.toLevel","line":640,"kind":"def","docLink":"./Lean/Level.html#Nat.toLevel","doc":""},"Nat.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L55-L56","name":"Nat.toFloat","line":55,"kind":"def","docLink":"./Init/Data/OfScientific.html#Nat.toFloat","doc":""},"Nat.toDigitsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L125-L131","name":"Nat.toDigitsCore","line":125,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigitsCore","doc":""},"Nat.toDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L133-L134","name":"Nat.toDigits","line":133,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigits","doc":""},"Nat.superDigitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L139-L150","name":"Nat.superDigitChar","line":139,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.superDigitChar","doc":""},"Nat.succ_sub_succ_eq_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L218-L221","name":"Nat.succ_sub_succ_eq_sub","line":218,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ_eq_sub","doc":""},"Nat.succ_sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L247-L248","name":"Nat.succ_sub_succ","line":247,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ","doc":""},"Nat.succ_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L564-L567","name":"Nat.succ_pred","line":564,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_pred","doc":""},"Nat.succ_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1608-L1609","name":"Nat.succ_pos","line":1608,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_pos","doc":""},"Nat.succ_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L432-L433","name":"Nat.succ_ne_zero","line":432,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_ne_zero","doc":""},"Nat.succ_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L169-L172","name":"Nat.succ_mul","line":169,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_mul","doc":""},"Nat.succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L209-L210","name":"Nat.succ_lt_succ","line":209,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_lt_succ","doc":""},"Nat.succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1582-L1584","name":"Nat.succ_le_succ","line":1582,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_le_succ","doc":""},"Nat.succ_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L313-L314","name":"Nat.succ_le_of_lt","line":313,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_le_of_lt","doc":""},"Nat.succ_eq_add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L128-L129","name":"Nat.succ_eq_add_one","line":128,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_eq_add_one","doc":""},"Nat.succ_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L118-L120","name":"Nat.succ_add","line":118,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_add","doc":""},"Nat.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1042-L1044","name":"Nat.succ","line":1042,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.succ","doc":"The successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. "},"Nat.sub_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L215-L216","name":"Nat.sub_zero","line":215,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_zero","doc":""},"Nat.sub_succ_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L557-L562","name":"Nat.sub_succ_lt_self","line":557,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ_lt_self","doc":""},"Nat.sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L244-L245","name":"Nat.sub_succ","line":244,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ","doc":""},"Nat.sub_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L706-L709","name":"Nat.sub_sub","line":706,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_sub","doc":""},"Nat.sub_self_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L634-L636","name":"Nat.sub_self_add","line":634,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self_add","doc":""},"Nat.sub_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L250-L252","name":"Nat.sub_self","line":250,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self","doc":""},"Nat.sub_ne_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L569-L573","name":"Nat.sub_ne_zero_of_lt","line":569,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_ne_zero_of_lt","doc":""},"Nat.sub_lt_sub_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L623-L627","name":"Nat.sub_lt_sub_left","line":623,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt_sub_left","doc":""},"Nat.sub_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L236-L242","name":"Nat.sub_lt","line":236,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt","doc":""},"Nat.sub_le_succ_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L542-L545","name":"Nat.sub_le_succ_sub","line":542,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_succ_sub","doc":""},"Nat.sub_le_of_le_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L642-L651","name":"Nat.sub_le_of_le_add","line":642,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_of_le_add","doc":""},"Nat.sub_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L231-L234","name":"Nat.sub_le","line":231,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le","doc":""},"Nat.sub_eq_zero_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L638-L640","name":"Nat.sub_eq_zero_of_le","line":638,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_zero_of_le","doc":""},"Nat.sub_eq_of_eq_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L610-L611","name":"Nat.sub_eq_of_eq_add","line":610,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_of_eq_add","doc":""},"Nat.sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L86-L86","name":"Nat.sub_eq","line":86,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq","doc":""},"Nat.sub_add_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L254-L257","name":"Nat.sub_add_eq","line":254,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_eq","doc":""},"Nat.sub_add_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L583-L584","name":"Nat.sub_add_cancel","line":583,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_cancel","doc":""},"Nat.sub.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L689-L696","name":"Nat.sub.elim","line":689,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub.elim","doc":""},"Nat.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob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subtraction of natural numbers. Because natural numbers are not\nclosed under subtraction, we define `n - m` to be `0` when `n < m`.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.strongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L169-L173","name":"Nat.strongInductionOn","line":169,"kind":"theorem","docLink":"./Init/WF.html#Nat.strongInductionOn","doc":""},"Nat.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L44-L46","name":"Nat.shiftRight","line":44,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftRight","doc":""},"Nat.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L40-L42","name":"Nat.shiftLeft","line":40,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftLeft","doc":""},"Nat.right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L189-L190","name":"Nat.right_distrib","line":189,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.right_distrib","doc":""},"Nat.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L136-L137","name":"Nat.repr","line":136,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.repr","doc":""},"Nat.repeat_eq_repeatTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L762-L764","name":"Nat.repeat_eq_repeatTR.go","line":762,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR.go","doc":""},"Nat.repeat_eq_repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L760-L765","name":"Nat.repeat_eq_repeatTR","line":760,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR","doc":""},"Nat.repeatTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L70-L72","name":"Nat.repeatTR.loop","line":70,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR.loop","doc":""},"Nat.repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L69-L73","name":"Nat.repeatTR","line":69,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR","doc":"Tail-recursive version of `Nat.repeat`. "},"Nat.repeat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L64-L66","name":"Nat.repeat","line":64,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat","doc":"`Nat.repeat f n a` is `f^(n) a`; that is, it iterates `f` `n` times on `a`.\n* `Nat.repeat f 3 a = f <| f <| f <| a`\n"},"Nat.pred_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L683-L684","name":"Nat.pred_zero","line":683,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_zero","doc":""},"Nat.pred_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L686-L687","name":"Nat.pred_succ","line":686,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_succ","doc":""},"Nat.pred_lt'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L527-L528","name":"Nat.pred_lt'","line":527,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt'","doc":""},"Nat.pred_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L227-L229","name":"Nat.pred_lt","line":227,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt","doc":""},"Nat.pred_le_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1623-L1626","name":"Nat.pred_le_pred","line":1623,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.pred_le_pred","doc":""},"Nat.pred_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L223-L225","name":"Nat.pred_le","line":223,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_le","doc":""},"Nat.pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1619-L1621","name":"Nat.pred","line":1619,"kind":"def","docLink":"./Init/Prelude.html#Nat.pred","doc":"The predecessor function on natural numbers.\n\nThis definition is overridden in the compiler to use `n - 1` instead.\nThe definition provided here is the logical model.\n"},"Nat.pow_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L476-L476","name":"Nat.pow_zero","line":476,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_zero","doc":""},"Nat.pow_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L473-L474","name":"Nat.pow_succ","line":473,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_succ","doc":""},"Nat.pow_le_pow_of_le_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L482-L492","name":"Nat.pow_le_pow_of_le_right","line":482,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_right","doc":""},"Nat.pow_le_pow_of_le_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L478-L480","name":"Nat.pow_le_pow_of_le_left","line":478,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_left","doc":""},"Nat.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1479-L1481","name":"Nat.pow","line":1479,"kind":"def","docLink":"./Init/Prelude.html#Nat.pow","doc":"The power operation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.pos_pow_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L494-L495","name":"Nat.pos_pow_of_pos","line":494,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pos_pow_of_pos","doc":""},"Nat.pos_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L36-L40","name":"Nat.pos_of_isPowerOfTwo","line":36,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.pos_of_isPowerOfTwo","doc":""},"Nat.one_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L426-L427","name":"Nat.one_ne_zero","line":426,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_ne_zero","doc":""},"Nat.one_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L181-L182","name":"Nat.one_mul","line":181,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_mul","doc":""},"Nat.one_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L29-L30","name":"Nat.one_isPowerOfTwo","line":29,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.one_isPowerOfTwo","doc":""},"Nat.not_succ_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1571-L1573","name":"Nat.not_succ_le_zero","line":1571,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_zero","doc":""},"Nat.not_succ_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1655-L1657","name":"Nat.not_succ_le_self","line":1655,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_self","doc":""},"Nat.not_lt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1575-L1576","name":"Nat.not_lt_zero","line":1575,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_lt_zero","doc":""},"Nat.not_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L727-L728","name":"Nat.not_lt_eq","line":727,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_lt_eq","doc":""},"Nat.not_le_of_not_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1693-L1694","name":"Nat.not_le_of_not_ble_eq_true","line":1693,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_le_of_not_ble_eq_true","doc":""},"Nat.not_le_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L360-L365","name":"Nat.not_le_of_gt","line":360,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_of_gt","doc":""},"Nat.not_le_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L721-L722","name":"Nat.not_le_eq","line":721,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_eq","doc":""},"Nat.not_gt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L730-L731","name":"Nat.not_gt_eq","line":730,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_gt_eq","doc":""},"Nat.not_ge_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L724-L725","name":"Nat.not_ge_eq","line":724,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_ge_eq","doc":""},"Nat.not_eq_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L522-L525","name":"Nat.not_eq_zero_of_lt","line":522,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_eq_zero_of_lt","doc":""},"Nat.not_beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L105-L110","name":"Nat.not_beq_eq_true_eq","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_beq_eq_true_eq","doc":""},"Nat.nextPowerOfTwo_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L11-L14","name":"Nat.nextPowerOfTwo_dec","line":11,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo_dec","doc":""},"Nat.nextPowerOfTwo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L19-L23","name":"Nat.nextPowerOfTwo.go","line":19,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo.go","doc":""},"Nat.nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L16-L25","name":"Nat.nextPowerOfTwo","line":16,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo","doc":""},"Nat.ne_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L329-L330","name":"Nat.ne_of_lt","line":329,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ne_of_lt","doc":""},"Nat.ne_of_beq_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1513-L1519","name":"Nat.ne_of_beq_eq_false","line":1513,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ne_of_beq_eq_false","doc":""},"Nat.mul_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L159-L160","name":"Nat.mul_zero","line":159,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_zero","doc":""},"Nat.mul_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L162-L163","name":"Nat.mul_succ","line":162,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_succ","doc":""},"Nat.mul_sub_right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L711-L714","name":"Nat.mul_sub_right_distrib","line":711,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_right_distrib","doc":""},"Nat.mul_sub_left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L716-L717","name":"Nat.mul_sub_left_distrib","line":716,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_left_distrib","doc":""},"Nat.mul_pred_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L703-L704","name":"Nat.mul_pred_right","line":703,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_right","doc":""},"Nat.mul_pred_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L698-L701","name":"Nat.mul_pred_left","line":698,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_left","doc":""},"Nat.mul_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L455-L457","name":"Nat.mul_pos","line":455,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pos","doc":""},"Nat.mul_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L178-L179","name":"Nat.mul_one","line":178,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_one","doc":""},"Nat.mul_lt_mul_of_pos_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L452-L453","name":"Nat.mul_lt_mul_of_pos_right","line":452,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_right","doc":""},"Nat.mul_lt_mul_of_pos_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L449-L450","name":"Nat.mul_lt_mul_of_pos_left","line":449,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_left","doc":""},"Nat.mul_left_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L202-L203","name":"Nat.mul_left_comm","line":202,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_left_comm","doc":""},"Nat.mul_le_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L443-L444","name":"Nat.mul_le_mul_right","line":443,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_right","doc":""},"Nat.mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L437-L441","name":"Nat.mul_le_mul_left","line":437,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_left","doc":""},"Nat.mul_le_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L446-L447","name":"Nat.mul_le_mul","line":446,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul","doc":""},"Nat.mul_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L85-L85","name":"Nat.mul_eq","line":85,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_eq","doc":""},"Nat.mul_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L174-L176","name":"Nat.mul_comm","line":174,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_comm","doc":""},"Nat.mul_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L198-L200","name":"Nat.mul_assoc","line":198,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_assoc","doc":""},"Nat.mul_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L192-L193","name":"Nat.mul_add","line":192,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_add","doc":""},"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L32-L34","name":"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","line":32,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","doc":""},"Nat.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1463-L1465","name":"Nat.mul","line":1463,"kind":"def","docLink":"./Init/Prelude.html#Nat.mul","doc":"Multiplication of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.mod_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L105-L109","name":"Nat.mod_zero","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_zero","doc":""},"Nat.mod_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L154-L155","name":"Nat.mod_self","line":154,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_self","doc":""},"Nat.mod_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L157-L164","name":"Nat.mod_one","line":157,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_one","doc":""},"Nat.mod_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L122-L138","name":"Nat.mod_lt","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_lt","doc":""},"Nat.mod_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L140-L145","name":"Nat.mod_le","line":140,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_le","doc":""},"Nat.mod_eq_sub_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L117-L120","name":"Nat.mod_eq_sub_mod","line":117,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_sub_mod","doc":""},"Nat.mod_eq_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L111-L115","name":"Nat.mod_eq_of_lt","line":111,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_of_lt","doc":""},"Nat.mod_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L94-L95","name":"Nat.mod_eq","line":94,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq","doc":""},"Nat.modCore_eq_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L87-L92","name":"Nat.modCore_eq_mod","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.modCore_eq_mod","doc":""},"Nat.modCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L68-L73","name":"Nat.modCore","line":68,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.modCore","doc":""},"Nat.mod.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L97-L103","name":"Nat.mod.inductionOn","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod.inductionOn","doc":""},"Nat.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L76-L83","name":"Nat.mod","line":76,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.mod","doc":""},"Nat.min_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L506-L506","name":"Nat.min_def","line":506,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.min_def","doc":""},"Nat.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L504-L504","name":"Nat.min","line":504,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.min","doc":"`Nat.min a b` is the minimum of `a` and `b`:\n* if `a ≤ b` then `Nat.min a b = a`\n* if `b ≤ a` then `Nat.min a b = b`\n"},"Nat.max_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L517-L517","name":"Nat.max_def","line":517,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.max_def","doc":""},"Nat.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L515-L515","name":"Nat.max","line":515,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.max","doc":"`Nat.max a b` is the maximum of `a` and `b`:\n* if `a ≤ b` then `Nat.max a b = b`\n* if `b ≤ a` then `Nat.max a b = a`\n"},"Nat.lt_wfRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L151-L167","name":"Nat.lt_wfRel","line":151,"kind":"def","docLink":"./Init/WF.html#Nat.lt_wfRel","doc":""},"Nat.lt_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1596-L1597","name":"Nat.lt_trans","line":1596,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_trans","doc":""},"Nat.lt_succ_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L294-L294","name":"Nat.lt_succ_self","line":294,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_self","doc":""},"Nat.lt_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L212-L213","name":"Nat.lt_succ_of_le","line":212,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_of_le","doc":""},"Nat.lt_sub_of_add_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L679-L681","name":"Nat.lt_sub_of_add_lt","line":679,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_sub_of_add_lt","doc":""},"Nat.lt_or_ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1644-L1653","name":"Nat.lt_or_ge","line":1644,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_or_ge","doc":""},"Nat.lt_of_succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L307-L308","name":"Nat.lt_of_succ_lt_succ","line":307,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt_succ","doc":""},"Nat.lt_of_succ_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L304-L305","name":"Nat.lt_of_succ_lt","line":304,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt","doc":""},"Nat.lt_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L310-L311","name":"Nat.lt_of_succ_le","line":310,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_le","doc":""},"Nat.lt_of_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L259-L260","name":"Nat.lt_of_lt_of_le","line":259,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_le","doc":""},"Nat.lt_of_lt_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L262-L263","name":"Nat.lt_of_lt_of_eq","line":262,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_eq","doc":""},"Nat.lt_of_le_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1670-L1673","name":"Nat.lt_of_le_of_ne","line":1670,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_ne","doc":""},"Nat.lt_of_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1662-L1663","name":"Nat.lt_of_le_of_lt","line":1662,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_lt","doc":""},"Nat.lt_irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1659-L1660","name":"Nat.lt_irrefl","line":1659,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_irrefl","doc":""},"Nat.lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L87-L87","name":"Nat.lt_eq","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_eq","doc":""},"Nat.lt.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L286-L286","name":"Nat.lt.step","line":286,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.step","doc":""},"Nat.lt.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L292-L292","name":"Nat.lt.base","line":292,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.base","doc":""},"Nat.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1565-L1566","name":"Nat.lt","line":1565,"kind":"def","docLink":"./Init/Prelude.html#Nat.lt","doc":"The strict less than relation on natural numbers is defined as `n < m := n + 1 ≤ m`. "},"Nat.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L36-L36","name":"Nat.lor","line":36,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.lor","doc":""},"Nat.log2_terminates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L12-L19","name":"Nat.log2_terminates","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_terminates","doc":""},"Nat.log2_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L31-L37","name":"Nat.log2_le_self","line":31,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_le_self","doc":""},"Nat.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L27-L29","name":"Nat.log2","line":27,"kind":"def","docLink":"./Init/Data/Nat/Log2.html#Nat.log2","doc":"Computes `⌊max 0 (log₂ n)⌋`.\n\n`log2 0 = log2 1 = 0`, `log2 2 = 1`, ..., `log2 (2^i) = i`, etc.\n"},"Nat.left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L184-L187","name":"Nat.left_distrib","line":184,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.left_distrib","doc":""},"Nat.le_zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L154-L155","name":"Nat.le_zero_eq","line":154,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Nat.le_zero_eq","doc":""},"Nat.le_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1592-L1594","name":"Nat.le_trans","line":1592,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_trans","doc":""},"Nat.le_total":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L296-L299","name":"Nat.le_total","line":296,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_total","doc":""},"Nat.le_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1602-L1603","name":"Nat.le_succ_of_le","line":1602,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ_of_le","doc":""},"Nat.le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1599-L1600","name":"Nat.le_succ","line":1599,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ","doc":""},"Nat.le_sub_of_add_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L660-L666","name":"Nat.le_sub_of_add_le","line":660,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_sub_of_add_le","doc":""},"Nat.le_step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1589-L1590","name":"Nat.le_step","line":1589,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_step","doc":""},"Nat.le_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1605-L1606","name":"Nat.le_refl","line":1605,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_refl","doc":""},"Nat.le_or_eq_of_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L332-L338","name":"Nat.le_or_eq_of_le_succ","line":332,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_or_eq_of_le_succ","doc":""},"Nat.le_of_succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1628-L1629","name":"Nat.le_of_succ_le_succ","line":1628,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_succ_le_succ","doc":""},"Nat.le_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L280-L281","name":"Nat.le_of_succ_le","line":280,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_succ_le","doc":""},"Nat.le_of_mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L459-L462","name":"Nat.le_of_mul_le_mul_left","line":459,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_mul_le_mul_left","doc":""},"Nat.le_of_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1631-L1632","name":"Nat.le_of_lt_succ","line":1631,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_lt_succ","doc":""},"Nat.le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L283-L284","name":"Nat.le_of_lt","line":283,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_lt","doc":""},"Nat.le_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L277-L278","name":"Nat.le_of_eq","line":277,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_eq","doc":""},"Nat.le_of_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1675-L1678","name":"Nat.le_of_ble_eq_true","line":1675,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_ble_eq_true","doc":""},"Nat.le_of_add_le_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L417-L419","name":"Nat.le_of_add_le_add_right","line":417,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_add_le_add_right","doc":""},"Nat.le_of_add_le_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/21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`n ≤ m`, then `n ≤ m + 1`. "},"Nat.le.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1556-L1557","name":"Nat.le.refl","line":1556,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.le.refl","doc":"Less-equal is reflexive: `n ≤ n` "},"Nat.le.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L357-L358","name":"Nat.le.intro","line":357,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.intro","doc":""},"Nat.le.dest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L347-L355","name":"Nat.le.dest","line":347,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.dest","doc":""},"Nat.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1555-L1559","name":"Nat.le","line":1555,"kind":"inductive","docLink":"./Init/Prelude.html#Nat.le","doc":"An inductive definition of the less-equal relation on natural numbers,\ncharacterized as the least relation `≤` such that `n ≤ n` and `n ≤ m → n ≤ m + 1`.\n"},"Nat.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L34-L34","name":"Nat.land","line":34,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.land","doc":""},"Nat.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2041-L2042","name":"Nat.isValidChar","line":2041,"kind":"def","docLink":"./Init/Prelude.html#Nat.isValidChar","doc":"A `Nat` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L46-L50","name":"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","line":46,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","doc":""},"Nat.isPowerOfTwo_nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L42-L52","name":"Nat.isPowerOfTwo_nextPowerOfTwo","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo","doc":""},"Nat.isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L27-L27","name":"Nat.isPowerOfTwo","line":27,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo","doc":""},"Nat.instXorNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L50-L50","name":"Nat.instXorNat","line":50,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instXorNat","doc":""},"Nat.instTransNatLtInstLTNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L271-L272","name":"Nat.instTransNatLtInstLTNatLeInstLENat","line":271,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNatLeInstLENat","doc":""},"Nat.instTransNatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L265-L266","name":"Nat.instTransNatLtInstLTNat","line":265,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L274-L275","name":"Nat.instTransNatLeInstLENatLtInstLTNat","line":274,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L268-L269","name":"Nat.instTransNatLeInstLENat","line":268,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENat","doc":""},"Nat.instShiftRightNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L52-L52","name":"Nat.instShiftRightNat","line":52,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftRightNat","doc":""},"Nat.instShiftLeftNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L51-L51","name":"Nat.instShiftLeftNat","line":51,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftLeftNat","doc":""},"Nat.instOrOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L49-L49","name":"Nat.instOrOpNat","line":49,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instOrOpNat","doc":""},"Nat.instModNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L85-L85","name":"Nat.instModNat","line":85,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instModNat","doc":""},"Nat.instMaxNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L508-L508","name":"Nat.instMaxNat","line":508,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instMaxNat","doc":""},"Nat.instLawfulBEqNatInstBEqNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L100-L102","name":"Nat.instLawfulBEqNatInstBEqNat","line":100,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instLawfulBEqNatInstBEqNat","doc":""},"Nat.instDivNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L23-L23","name":"Nat.instDivNat","line":23,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instDivNat","doc":""},"Nat.instAntisymmNatNotLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L380-L381","name":"Nat.instAntisymmNatNotLtInstLTNat","line":380,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatNotLtInstLTNat","doc":""},"Nat.instAntisymmNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L377-L378","name":"Nat.instAntisymmNatLeInstLENat","line":377,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatLeInstLENat","doc":""},"Nat.instAndOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L48-L48","name":"Nat.instAndOpNat","line":48,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instAndOpNat","doc":""},"Nat.imax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L14-L15","name":"Nat.imax","line":14,"kind":"def","docLink":"./Lean/Level.html#Nat.imax","doc":""},"Nat.gt_of_not_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L367-L370","name":"Nat.gt_of_not_le","line":367,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.gt_of_not_le","doc":""},"Nat.ge_of_not_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L372-L375","name":"Nat.ge_of_not_lt","line":372,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ge_of_not_lt","doc":""},"Nat.gcd_zero_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L30-L36","name":"Nat.gcd_zero_right","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_right","doc":""},"Nat.gcd_zero_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L20-L21","name":"Nat.gcd_zero_left","line":20,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_left","doc":""},"Nat.gcd_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L23-L24","name":"Nat.gcd_succ","line":23,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_succ","doc":""},"Nat.gcd_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L38-L39","name":"Nat.gcd_self","line":38,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_self","doc":""},"Nat.gcd_one_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L26-L28","name":"Nat.gcd_one_left","line":26,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_one_left","doc":""},"Nat.gcd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L17-L18","name":"Nat.gcd","line":17,"kind":"def","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd","doc":""},"Nat.forRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L20-L22","name":"Nat.forRevM.loop","line":20,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM.loop","doc":""},"Nat.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L19-L23","name":"Nat.forRevM","line":19,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM","doc":""},"Nat.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L14-L16","name":"Nat.forM.loop","line":14,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM.loop","doc":""},"Nat.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L13-L17","name":"Nat.forM","line":13,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM","doc":""},"Nat.fold_eq_foldTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L737-L739","name":"Nat.fold_eq_foldTR.go","line":737,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR.go","doc":""},"Nat.fold_eq_foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L735-L740","name":"Nat.fold_eq_foldTR","line":735,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR","doc":""},"Nat.foldTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L23-L25","name":"Nat.foldTR.loop","line":23,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR.loop","doc":""},"Nat.foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L22-L26","name":"Nat.foldTR","line":22,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR","doc":"Tail-recursive version of `Nat.fold`. "},"Nat.foldRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L32-L34","name":"Nat.foldRevM.loop","line":32,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM.loop","doc":""},"Nat.foldRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L31-L35","name":"Nat.foldRevM","line":31,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM","doc":""},"Nat.foldRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L32-L34","name":"Nat.foldRev","line":32,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldRev","doc":"`Nat.foldRev` evaluates `f` on the numbers up to `n` exclusive, in decreasing order:\n* `Nat.foldRev f 3 init = f 0 <| f 1 <| f 2 <| init`\n"},"Nat.foldM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L26-L28","name":"Nat.foldM.loop","line":26,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM.loop","doc":""},"Nat.foldM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L25-L29","name":"Nat.foldM","line":25,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM","doc":""},"Nat.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L17-L19","name":"Nat.fold","line":17,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.fold","doc":"`Nat.fold` evaluates `f` on the numbers up to `n` exclusive, in increasing order:\n* `Nat.fold f 3 init = init |> f 0 |> f 1 |> f 2`\n"},"Nat.eq_zero_or_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L288-L290","name":"Nat.eq_zero_or_pos","line":288,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_or_pos","doc":""},"Nat.eq_zero_of_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L301-L302","name":"Nat.eq_zero_of_le_zero","line":301,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_of_le_zero","doc":""},"Nat.eq_or_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1634-L1642","name":"Nat.eq_or_lt_of_le","line":1634,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_or_lt_of_le","doc":""},"Nat.eq_of_mul_eq_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L468-L469","name":"Nat.eq_of_mul_eq_mul_right","line":468,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_right","doc":""},"Nat.eq_of_mul_eq_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L464-L466","name":"Nat.eq_of_mul_eq_mul_left","line":464,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_left","doc":""},"Nat.eq_of_beq_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1504-L1511","name":"Nat.eq_of_beq_eq_true","line":1504,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_of_beq_eq_true","doc":""},"Nat.eq_add_of_sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L607-L608","name":"Nat.eq_add_of_sub_eq","line":607,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_add_of_sub_eq","doc":""},"Nat.div_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L12-L13","name":"Nat.div_rec_lemma","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_rec_lemma","doc":""},"Nat.div_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L56-L65","name":"Nat.div_lt_self","line":56,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_lt_self","doc":""},"Nat.div_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L42-L54","name":"Nat.div_le_self","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_le_self","doc":""},"Nat.div_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L25-L28","name":"Nat.div_eq","line":25,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_eq","doc":""},"Nat.div_add_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L166-L175","name":"Nat.div_add_mod","line":166,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_add_mod","doc":""},"Nat.div.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L30-L40","name":"Nat.div.inductionOn","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div.inductionOn","doc":""},"Nat.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L16-L21","name":"Nat.div","line":16,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.div","doc":""},"Nat.digitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L106-L123","name":"Nat.digitChar","line":106,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.digitChar","doc":""},"Nat.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1701-L1702","name":"Nat.decLt","line":1701,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLt","doc":""},"Nat.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1697-L1698","name":"Nat.decLe","line":1697,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLe","doc":""},"Nat.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1529-L1532","name":"Nat.decEq","line":1529,"kind":"def","docLink":"./Init/Prelude.html#Nat.decEq","doc":"A decision procedure for equality of natural numbers.\n\nThis definition is overridden in the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.ctor_eq_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L423-L424","name":"Nat.ctor_eq_zero","line":423,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ctor_eq_zero","doc":""},"Nat.caseStrongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L175-L183","name":"Nat.caseStrongInductionOn","line":175,"kind":"theorem","docLink":"./Init/WF.html#Nat.caseStrongInductionOn","doc":""},"Nat.blt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L98-L98","name":"Nat.blt_eq","line":98,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.blt_eq","doc":""},"Nat.blt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L76-L77","name":"Nat.blt","line":76,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.blt","doc":"Boolean less-than of natural numbers. "},"Nat.ble_succ_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1684-L1686","name":"Nat.ble_succ_eq_true","line":1684,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_succ_eq_true","doc":""},"Nat.ble_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1680-L1682","name":"Nat.ble_self_eq_true","line":1680,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_self_eq_true","doc":""},"Nat.ble_eq_true_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1688-L1691","name":"Nat.ble_eq_true_of_le","line":1688,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_eq_true_of_le","doc":""},"Nat.ble_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L97-L97","name":"Nat.ble_eq","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ble_eq","doc":""},"Nat.ble":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1545-L1549","name":"Nat.ble","line":1545,"kind":"def","docLink":"./Init/Prelude.html#Nat.ble","doc":"The (Boolean) less-equal relation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.bitwise_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L13-L14","name":"Nat.bitwise_rec_lemma","line":13,"kind":"theorem","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise_rec_lemma","doc":""},"Nat.bitwise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L16-L31","name":"Nat.bitwise","line":16,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise","doc":""},"Nat.beq_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L92-L94","name":"Nat.beq_refl","line":92,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_refl","doc":""},"Nat.beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L104-L104","name":"Nat.beq_eq_true_eq","line":104,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq_true_eq","doc":""},"Nat.beq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L96-L96","name":"Nat.beq_eq","line":96,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq","doc":""},"Nat.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1495-L1499","name":"Nat.beq","line":1495,"kind":"def","docLink":"./Init/Prelude.html#Nat.beq","doc":"(Boolean) equality of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.any_eq_anyTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L744-L748","name":"Nat.any_eq_anyTR.go","line":744,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR.go","doc":""},"Nat.any_eq_anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L742-L749","name":"Nat.any_eq_anyTR","line":742,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR","doc":""},"Nat.anyTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L43-L45","name":"Nat.anyTR.loop","line":43,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR.loop","doc":""},"Nat.anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L42-L46","name":"Nat.anyTR","line":42,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR","doc":"Tail-recursive version of `Nat.any`. "},"Nat.anyM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L47-L52","name":"Nat.anyM.loop","line":47,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM.loop","doc":""},"Nat.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L46-L53","name":"Nat.anyM","line":46,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM","doc":""},"Nat.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L37-L39","name":"Nat.any","line":37,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.any","doc":"`any f n = true` iff there is `i in [0, n-1]` s.t. `f i = true` "},"Nat.all_eq_allTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L753-L757","name":"Nat.all_eq_allTR.go","line":753,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR.go","doc":""},"Nat.all_eq_allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L751-L758","name":"Nat.all_eq_allTR","line":751,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR","doc":""},"Nat.allTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L55-L57","name":"Nat.allTR.loop","line":55,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR.loop","doc":""},"Nat.allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L54-L58","name":"Nat.allTR","line":54,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR","doc":"Tail-recursive version of `Nat.all`. "},"Nat.allM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L38-L43","name":"Nat.allM.loop","line":38,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM.loop","doc":""},"Nat.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L37-L44","name":"Nat.allM","line":37,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM","doc":""},"Nat.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L49-L51","name":"Nat.all","line":49,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.all","doc":"`all f n = true` iff every `i in [0, n-1]` satisfies `f i = true` "},"Nat.add_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L457-L457","name":"Nat.add_zero","line":457,"kind":"theorem","docLink":"./Init/Core.html#Nat.add_zero","doc":""},"Nat.add_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L122-L123","name":"Nat.add_succ","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_succ","doc":""},"Nat.add_sub_self_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L539-L540","name":"Nat.add_sub_self_right","line":539,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_right","doc":""},"Nat.add_sub_self_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L532-L537","name":"Nat.add_sub_self_left","line":532,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_left","doc":""},"Nat.add_sub_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L575-L581","name":"Nat.add_sub_of_le","line":575,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_of_le","doc":""},"Nat.add_sub_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L598-L600","name":"Nat.add_sub_cancel_left","line":598,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel_left","doc":""},"Nat.add_sub_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L594-L596","name":"Nat.add_sub_cancel","line":594,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel","doc":""},"Nat.add_sub_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L602-L605","name":"Nat.add_sub_assoc","line":602,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_assoc","doc":""},"Nat.add_sub_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L586-L589","name":"Nat.add_sub_add_right","line":586,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_right","doc":""},"Nat.add_sub_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L591-L592","name":"Nat.add_sub_add_left","line":591,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_left","doc":""},"Nat.add_right_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L145-L146","name":"Nat.add_right_comm","line":145,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_comm","doc":""},"Nat.add_right_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L153-L155","name":"Nat.add_right_cancel","line":153,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_cancel","doc":""},"Nat.add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L125-L126","name":"Nat.add_one","line":125,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_one","doc":""},"Nat.add_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L195-L196","name":"Nat.add_mul","line":195,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_mul","doc":""},"Nat.add_lt_of_lt_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L668-L677","name":"Nat.add_lt_of_lt_sub","line":668,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_of_lt_sub","doc":""},"Nat.add_lt_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L398-L399","name":"Nat.add_lt_add_right","line":398,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_right","doc":""},"Nat.add_lt_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L395-L396","name":"Nat.add_lt_add_left","line":395,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_left","doc":""},"Nat.add_lt_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L407-L408","name":"Nat.add_lt_add","line":407,"kind":"theorem","docLink":"./Init/Data/Nat/Ba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We use `fixedVar` for encoding numerals.\nThe denotation of `fixedVar` is always `1`. 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type of natural numbers, starting at zero. It is defined as an\ninductive type freely generated by \"zero is a natural number\" and\n\"the successor of a natural number is a natural number\".\n\nYou can prove a theorem `P n` about `n : Nat` by `induction n`, which will\nexpect a proof of the theorem for `P 0`, and a proof of `P (succ i)` assuming\na proof of `P i`. The same method also works to define functions by recursion\non natural numbers: induction and recursion are two expressions of the same\noperation from lean's point of view.\n\n```\nopen Nat\nexample (n : Nat) : n < succ n := by\n induction n with\n | zero =>\n show 0 < 1\n decide\n | succ i ih => -- ih : i < succ i\n show succ i < succ (succ i)\n exact Nat.succ_lt_succ ih\n```\n\nThis type is special-cased by both the kernel and the compiler:\n* The type of expressions contains \"`Nat` literals\" as a primitive constructor,\n and the kernel knows how to reduce zero/succ expressions to nat literals.\n* If implemented naively, this type would represent a numeral `n` in unary as a\n linked list with `n` links, which is horribly inefficient. Instead, the\n runtime itself has a special representation for `Nat` which stores numbers up\n to 2^63 directly and larger numbers use an arbitrary precision \"bignum\"\n library (usually [GMP](https://gmplib.org/)).\n"},"Mul.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1275-L1275","name":"Mul.mul","line":1275,"kind":"def","docLink":"./Init/Prelude.html#Mul.mul","doc":"`a * b` computes the product of `a` and `b`. See `HMul`. "},"Mul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1273-L1273","name":"Mul.mk","line":1273,"kind":"ctor","docLink":"./Init/Prelude.html#Mul.mk","doc":""},"Mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1273-L1275","name":"Mul","line":1273,"kind":"class","docLink":"./Init/Prelude.html#Mul","doc":"The homogeneous version of `HMul`: `a * b : α` where `a b : α`. "},"MonadWithReaderOf.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3062-L3062","name":"MonadWithReaderOf.withReader","line":3062,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReaderOf.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3059-L3059","name":"MonadWithReaderOf.mk","line":3059,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReaderOf.mk","doc":""},"MonadWithReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3059-L3062","name":"MonadWithReaderOf","line":3059,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReaderOf","doc":"`MonadWithReaderOf ρ` adds the operation `withReader : (ρ → ρ) → m α → m α`.\nThis runs the inner `x : m α` inside a modified context after applying the\nfunction `f : ρ → ρ`. In addition to `ReaderT` itself, this operation lifts\nover most monad transformers, so it allows us to apply `withReader` to monads\ndeeper in the stack.\n"},"MonadWithReader.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3076-L3076","name":"MonadWithReader.withReader","line":3076,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReader.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3073-L3073","name":"MonadWithReader.mk","line":3073,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReader.mk","doc":""},"MonadWithReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3073-L3076","name":"MonadWithReader","line":3073,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReader","doc":"Similar to `MonadWithReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadStateOf.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3099-L3099","name":"MonadStateOf.set","line":3099,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadStateOf.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3106-L3106","name":"MonadStateOf.modifyGet","line":3106,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadStateOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3095-L3095","name":"MonadStateOf.mk","line":3095,"kind":"ctor","docLink":"./Init/Prelude.html#MonadStateOf.mk","doc":""},"MonadStateOf.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3097-L3097","name":"MonadStateOf.get","line":3097,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadStateOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3095-L3106","name":"MonadStateOf","line":3095,"kind":"class","docLink":"./Init/Prelude.html#MonadStateOf","doc":"An implementation of [`MonadState`]. In contrast to the Haskell implementation,\nwe use overlapping instances to derive instances automatically from `monadLift`.\n\n [`MonadState`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-State-Class.html\n"},"MonadState.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3138-L3138","name":"MonadState.set","line":3138,"kind":"def","docLink":"./Init/Prelude.html#MonadState.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadState.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3145-L3145","name":"MonadState.modifyGet","line":3145,"kind":"def","docLink":"./Init/Prelude.html#MonadState.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3134-L3134","name":"MonadState.mk","line":3134,"kind":"ctor","docLink":"./Init/Prelude.html#MonadState.mk","doc":""},"MonadState.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3136-L3136","name":"MonadState.get","line":3136,"kind":"def","docLink":"./Init/Prelude.html#MonadState.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3134-L3145","name":"MonadState","line":3134,"kind":"class","docLink":"./Init/Prelude.html#MonadState","doc":"Similar to `MonadStateOf`, but `σ` is an `outParam` for convenience. "},"MonadShareCommon.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L87-L87","name":"MonadShareCommon.withShareCommon","line":87,"kind":"def","docLink":"./Init/ShareCommon.html#MonadShareCommon.withShareCommon","doc":""},"MonadShareCommon.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L86-L86","name":"MonadShareCommon.mk","line":86,"kind":"ctor","docLink":"./Init/ShareCommon.html#MonadShareCommon.mk","doc":""},"MonadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L86-L87","name":"MonadShareCommon","line":86,"kind":"class","docLink":"./Init/ShareCommon.html#MonadShareCommon","doc":""},"MonadReaderOf.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3026-L3026","name":"MonadReaderOf.read","line":3026,"kind":"def","docLink":"./Init/Prelude.html#MonadReaderOf.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3024-L3024","name":"MonadReaderOf.mk","line":3024,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReaderOf.mk","doc":""},"MonadReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3024-L3026","name":"MonadReaderOf","line":3024,"kind":"class","docLink":"./Init/Prelude.html#MonadReaderOf","doc":"An implementation of Haskell's [`MonadReader`] (sans functional dependency; see also `MonadReader`\nin this module). It does not contain `local` because this\nfunction cannot be lifted using `monadLift`. `local` is instead provided by\nthe `MonadWithReader` class as `withReader`.\n\nNote: This class can be seen as a simplification of the more \"principled\" definition\n```\nclass MonadReaderOf (ρ : Type u) (n : Type u → Type u) where\n lift {α : Type u} : ({m : Type u → Type u} → [Monad m] → ReaderT ρ m α) → n α\n```\n\n [`MonadReader`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Reader-Class.html#t:MonadReader\n"},"MonadReader.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3039-L3039","name":"MonadReader.read","line":3039,"kind":"def","docLink":"./Init/Prelude.html#MonadReader.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3037-L3037","name":"MonadReader.mk","line":3037,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReader.mk","doc":""},"MonadReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3037-L3039","name":"MonadReader","line":3037,"kind":"class","docLink":"./Init/Prelude.html#MonadReader","doc":"Similar to `MonadReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadLiftT.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2797-L2797","name":"MonadLiftT.monadLift","line":2797,"kind":"def","docLink":"./Init/Prelude.html#MonadLiftT.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLiftT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2795-L2795","name":"MonadLiftT.mk","line":2795,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLiftT.mk","doc":""},"MonadLiftT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2795-L2797","name":"MonadLiftT","line":2795,"kind":"class","docLink":"./Init/Prelude.html#MonadLiftT","doc":"The reflexive-transitive closure of `MonadLift`. `monadLift` is used to\ntransitively lift monadic computations such as `StateT.get` or `StateT.put s`.\nCorresponds to Haskell's [`MonadLift`].\n\n [`MonadLift`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLift\n"},"MonadLift.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2786-L2786","name":"MonadLift.monadLift","line":2786,"kind":"def","docLink":"./Init/Prelude.html#MonadLift.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2784-L2784","name":"MonadLift.mk","line":2784,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLift.mk","doc":""},"MonadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2784-L2786","name":"MonadLift","line":2784,"kind":"class","docLink":"./Init/Prelude.html#MonadLift","doc":"A function for lifting a computation from an inner `Monad` to an outer `Monad`.\nLike Haskell's [`MonadTrans`], but `n` does not have to be a monad transformer.\nAlternatively, an implementation of [`MonadLayer`] without `layerInvmap` (so far).\n\n [`MonadTrans`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Class.html\n [`MonadLayer`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLayer\n"},"MonadFunctorT.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2829-L2829","name":"MonadFunctorT.monadMap","line":2829,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctorT.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctorT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2826-L2826","name":"MonadFunctorT.mk","line":2826,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctorT.mk","doc":""},"MonadFunctorT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2826-L2829","name":"MonadFunctorT","line":2826,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctorT","doc":"The reflexive-transitive closure of `MonadFunctor`.\n`monadMap` is used to transitively lift `Monad` morphisms. "},"MonadFunctor.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2822-L2822","name":"MonadFunctor.monadMap","line":2822,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctor.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2819-L2819","name":"MonadFunctor.mk","line":2819,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctor.mk","doc":""},"MonadFunctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2819-L2822","name":"MonadFunctor","line":2819,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctor","doc":"A functor in the category of monads. Can be used to lift monad-transforming functions.\nBased on [`MFunctor`] from the `pipes` Haskell package, but not restricted to\nmonad transformers. Alternatively, an implementation of [`MonadTransFunctor`].\n\n [`MFunctor`]: https://hackage.haskell.org/package/pipes-2.4.0/docs/Control-MFunctor.html\n [`MonadTransFunctor`]: http://duairc.netsoc.ie/layers-docs/Control-Monad-Layer.html#t:MonadTransFunctor\n"},"MonadFinally.tryFinally'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L180-L180","name":"MonadFinally.tryFinally'","line":180,"kind":"def","docLink":"./Init/Control/Except.html#MonadFinally.tryFinally'","doc":"`tryFinally' x f` runs `x` and then the \"finally\" computation `f`.\nWhen `x` succeeds with `a : α`, `f (some a)` is returned. If `x` fails\nfor `m`'s definition of failure, `f none` is returned. Hence `tryFinally'`\ncan be thought of as performing the same role as a `finally` block in\nan imperative programming language. "},"MonadFinally.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L174-L174","name":"MonadFinally.mk","line":174,"kind":"ctor","docLink":"./Init/Control/Except.html#MonadFinally.mk","doc":""},"MonadFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L174-L180","name":"MonadFinally","line":174,"kind":"class","docLink":"./Init/Control/Except.html#MonadFinally","doc":""},"MonadExceptOf.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2879-L2879","name":"MonadExceptOf.tryCatch","line":2879,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExceptOf.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2875-L2875","name":"MonadExceptOf.throw","line":2875,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExceptOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2872-L2872","name":"MonadExceptOf.mk","line":2872,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExceptOf.mk","doc":""},"MonadExceptOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2872-L2879","name":"MonadExceptOf","line":2872,"kind":"class","docLink":"./Init/Prelude.html#MonadExceptOf","doc":"An implementation of Haskell's [`MonadError`] class. A `MonadError ε m` is a\nmonad `m` with two operations:\n\n* `throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\n catch block\n* `tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n `body` and pass the resulting error to `handler`.\n Errors in `handler` will not be caught.\n\nThe `try ... catch e => ...` syntax inside `do` blocks is sugar for the\n`tryCatch` operation.\n\n [`MonadError`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Except.html#t:MonadError\n"},"MonadExcept.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2903-L2903","name":"MonadExcept.tryCatch","line":2903,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExcept.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2899-L2899","name":"MonadExcept.throw","line":2899,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExcept.orelse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L156-L157","name":"MonadExcept.orelse'","line":156,"kind":"def","docLink":"./Init/Control/Except.html#MonadExcept.orelse'","doc":"Alternative orelse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orelse` uses the second. "},"MonadExcept.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2920-L2921","name":"MonadExcept.orElse","line":2920,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.orElse","doc":"A `MonadExcept` can implement `t₁ <|> t₂` as `try t₁ catch _ => t₂`. "},"MonadExcept.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2906-L2908","name":"MonadExcept.ofExcept","line":2906,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.ofExcept","doc":"\"Unwraps\" an `Except ε α` to get the `α`, or throws the exception otherwise. "},"MonadExcept.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2896-L2896","name":"MonadExcept.mk","line":2896,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExcept.mk","doc":""},"MonadExcept.instOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2923-L2924","name":"MonadExcept.instOrElse","line":2923,"kind":"instance","docLink":"./Init/Prelude.html#MonadExcept.instOrElse","doc":""},"MonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2896-L2903","name":"MonadExcept","line":2896,"kind":"class","docLink":"./Init/Prelude.html#MonadExcept","doc":"Similar to `MonadExceptOf`, but `ε` is an `outParam` for convenience. "},"MonadControlT.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L196-L196","name":"MonadControlT.stM","line":196,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.stM","doc":""},"MonadControlT.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L198-L198","name":"MonadControlT.restoreM","line":198,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.restoreM","doc":""},"MonadControlT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L195-L195","name":"MonadControlT.mk","line":195,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControlT.mk","doc":""},"MonadControlT.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L197-L197","name":"MonadControlT.liftWith","line":197,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.liftWith","doc":""},"MonadControlT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L195-L198","name":"MonadControlT","line":195,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControlT","doc":"Transitive closure of MonadControl. "},"MonadControl.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L190-L190","name":"MonadControl.stM","line":190,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.stM","doc":""},"MonadControl.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L192-L192","name":"MonadControl.restoreM","line":192,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.restoreM","doc":""},"MonadControl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L189-L189","name":"MonadControl.mk","line":189,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControl.mk","doc":""},"MonadControl.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L191-L191","name":"MonadControl.liftWith","line":191,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.liftWith","doc":""},"MonadControl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L189-L192","name":"MonadControl","line":189,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControl","doc":"MonadControl is a way of stating that the monad `m` can be 'run inside' the monad `n`.\n\nThis is the same as [`MonadBaseControl`](https://hackage.haskell.org/package/monad-control-1.0.3.1/docs/Control-Monad-Trans-Control.html#t:MonadBaseControl) in Haskell.\nTo learn about `MonadControl`, see the comment above this docstring.\n\n"},"Monad.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2750-L2750","name":"Monad.mk","line":2750,"kind":"ctor","docLink":"./Init/Prelude.html#Monad.mk","doc":""},"Monad":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2750-L2754","name":"Monad","line":2750,"kind":"class","docLink":"./Init/Prelude.html#Monad","doc":"A [monad](https://en.wikipedia.org/wiki/Monad_(functional_programming)) is a\nstructure which abstracts the concept of sequential control flow.\nIt mainly consists of two operations:\n\n* `pure : α → F α`\n* `bind : F α → (α → F β) → F β` (written as `>>=`)\n\nLike many functional programming languages, Lean makes extensive use of monads\nfor structuring programs. In particular, the `do` notation is a very powerful\nsyntax over monad operations, and it depends on a `Monad` instance.\n\nSee [the `do` notation](https://leanprover.github.io/lean4/doc/do.html)\nchapter of the manual for details.\n"},"Mod.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1294-L1294","name":"Mod.mod","line":1294,"kind":"def","docLink":"./Init/Prelude.html#Mod.mod","doc":"`a % b` computes the remainder upon dividing `a` by `b`. See `HMod`. "},"Mod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1292-L1292","name":"Mod.mk","line":1292,"kind":"ctor","docLink":"./Init/Prelude.html#Mod.mk","doc":""},"Mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1292-L1294","name":"Mod","line":1292,"kind":"class","docLink":"./Init/Prelude.html#Mod","doc":"The homogeneous version of `HMod`: `a % b : α` where `a b : α`. "},"Min.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1101-L1101","name":"Min.mk","line":1101,"kind":"ctor","docLink":"./Init/Prelude.html#Min.mk","doc":""},"Min.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1103-L1103","name":"Min.min","line":1103,"kind":"def","docLink":"./Init/Prelude.html#Min.min","doc":"The minimum operation: `min x y`. "},"Min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1101-L1103","name":"Min","line":1101,"kind":"class","docLink":"./Init/Prelude.html#Min","doc":"`Min α` is the typeclass which supports the operation `min x y` where `x y : α`."},"Membership.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1430-L1430","name":"Membership.mk","line":1430,"kind":"ctor","docLink":"./Init/Prelude.html#Membership.mk","doc":""},"Membership.mem.upper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L79-L81","name":"Membership.mem.upper","line":79,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.upper","doc":""},"Membership.mem.lower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L83-L85","name":"Membership.mem.lower","line":83,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.lower","doc":""},"Membership.mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1432-L1432","name":"Membership.mem","line":1432,"kind":"def","docLink":"./Init/Prelude.html#Membership.mem","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"Membership":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1430-L1432","name":"Membership","line":1430,"kind":"class","docLink":"./Init/Prelude.html#Membership","doc":"The typeclass behind the notation `a ∈ s : Prop` where `a : α`, `s : γ`.\nBecause `α` is an `outParam`, the \"container type\" `γ` determines the type\nof the elements of the container.\n"},"Max.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1088-L1088","name":"Max.mk","line":1088,"kind":"ctor","docLink":"./Init/Prelude.html#Max.mk","doc":""},"Max.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1090-L1090","name":"Max.max","line":1090,"kind":"def","docLink":"./Init/Prelude.html#Max.max","doc":"The maximum operation: `max x y`. "},"Max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1088-L1090","name":"Max","line":1088,"kind":"class","docLink":"./Init/Prelude.html#Max","doc":"`Max α` is the typeclass which supports the operation `max x y` where `x y : α`."},"MProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L492-L492","name":"MProd.snd","line":492,"kind":"def","docLink":"./Init/Prelude.html#MProd.snd","doc":"The second projection out of a pair. if `p : MProd α β` then `p.2 : β`. "},"MProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L488-L488","name":"MProd.mk","line":488,"kind":"ctor","docLink":"./Init/Prelude.html#MProd.mk","doc":""},"MProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L490-L490","name":"MProd.fst","line":490,"kind":"def","docLink":"./Init/Prelude.html#MProd.fst","doc":"The first projection out of a pair. if `p : MProd α β` then `p.1 : α`. "},"MProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L488-L492","name":"MProd","line":488,"kind":"structure","docLink":"./Init/Prelude.html#MProd","doc":"Similar to `Prod`, but `α` and `β` are in the same universe.\nWe say `MProd` is the universe monomorphic product type.\n"},"List.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L548-L550","name":"List.zipWith","line":548,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zipWith","doc":"`O(min |xs| |ys|)`. Applies `f` to the two lists in parallel, stopping at the shorter list.\n* `zipWith f [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [f x₁ y₁, f x₂ y₂, f x₃ y₃]`\n"},"List.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L557-L558","name":"List.zip","line":557,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zip","doc":"`O(min |xs| |ys|)`. Combines the two lists into a list of pairs, with one element from each list.\nThe longer list is truncated to match the shorter list.\n* `zip [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n"},"List.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L564-L566","name":"List.unzip","line":564,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.unzip","doc":"`O(|l|)`. Separates a list of pairs into two lists containing the first components and second components.\n* `unzip [(x₁, y₁), (x₂, y₂), (x₃, y₃)] = ([x₁, x₂, x₃], [y₁, y₂, y₃])`\n"},"List.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L48-L51","name":"List.toString","line":48,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#List.toString","doc":""},"List.toSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/SSet.lean#L46-L47","name":"List.toSSet","line":46,"kind":"def","docLink":"./Lean/Data/SSet.html#List.toSSet","doc":""},"List.toPArray'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L378-L380","name":"List.toPArray'.loop","line":378,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'.loop","doc":""},"List.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L377-L381","name":"List.toPArray'","line":377,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'","doc":""},"List.toFloatArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L164-L166","name":"List.toFloatArray.loop","line":164,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray.loop","doc":""},"List.toFloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L163-L167","name":"List.toFloatArray","line":163,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray","doc":""},"List.toByteArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L189-L191","name":"List.toByteArray.loop","line":189,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray.loop","doc":""},"List.toByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L188-L192","name":"List.toByteArray","line":188,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray","doc":""},"List.toAssocList'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/AssocList.lean#L105-L107","name":"List.toAssocList'","line":105,"kind":"def","docLink":"./Lean/Data/AssocList.html#List.toAssocList'","doc":""},"List.toArray_eq_toArray_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L35-L38","name":"List.toArray_eq_toArray_eq","line":35,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#List.toArray_eq_toArray_eq","doc":""},"List.toArrayAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2638-L2640","name":"List.toArrayAux","line":2638,"kind":"def","docLink":"./Init/Prelude.html#List.toArrayAux","doc":"Auxiliary definition for `List.toArray`. "},"List.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2655-L2656","name":"List.toArray","line":2655,"kind":"def","docLink":"./Init/Prelude.html#List.toArray","doc":"Convert a `List α` into an `Array α`. This is O(n) in the length of the list.\n\nThis function is exported to C, where it is called by `Array.mk`\n(the constructor) to implement this functionality.\n"},"List.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L504-L508","name":"List.takeWhile","line":504,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.takeWhile","doc":"`O(|xs|)`. Returns the longest initial segment of `xs` for which `p` returns true.\n* `takeWhile (· > 5) [7, 6, 4, 8] = [7, 6]`\n* `takeWhile (· > 5) [7, 6, 6, 8] = [7, 6, 6, 8]`\n"},"List.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L494-L497","name":"List.take","line":494,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.take","doc":"`O(min n |xs|)`. Returns the first `n` elements of `xs`, or the whole list if `n` is too large.\n* `take 0 [a, b, c, d, e] = []`\n* `take 3 [a, b, c, d, e] = [a, b, c]`\n* `take 6 [a, b, c, d, e] = [a, b, c, d, e]`\n"},"List.tailD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L53-L55","name":"List.tailD","line":53,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tailD","doc":""},"List.tail?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L49-L51","name":"List.tail?","line":49,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail?","doc":""},"List.tail!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L45-L47","name":"List.tail!","line":45,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail!","doc":""},"List.tacticSizeOf_list_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L127-L132","name":"List.tacticSizeOf_list_dec","line":127,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tacticSizeOf_list_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf a < sizeOf as` when `a ∈ as`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : List T → T`. "},"List.span.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L426-L430","name":"List.span.loop","line":426,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span.loop","doc":""},"List.span":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L423-L430","name":"List.span","line":423,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span","doc":"`O(|l|)`. `span p l` splits the list `l` into two parts, where the first part\ncontains the longest initial segment for which `p` returns true\nand the second part is everything else.\n\n* `span (· > 5) [6, 8, 9, 5, 2, 9] = ([6, 8, 9], [5, 2, 9])`\n* `span (· > 10) [6, 8, 9, 5, 2, 9] = ([6, 8, 9, 5, 2, 9], [])`\n"},"List.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L119-L122","name":"List.sizeOf_lt_of_mem","line":119,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_lt_of_mem","doc":""},"List.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L11-L19","name":"List.sizeOf_get_lt","line":11,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#List.sizeOf_get_lt","doc":""},"List.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L160-L166","name":"List.sizeOf_get","line":160,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_get","doc":""},"List.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2220-L2223","name":"List.set","line":2220,"kind":"def","docLink":"./Init/Prelude.html#List.set","doc":"`l.set n a` sets the value of list `l` at (zero-based) index `n` to `a`:\n`[a, b, c, d].set 1 b' = [a, b', c, d]`\n"},"List.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L84-L92","name":"List.rotateRight","line":84,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateRight","doc":""},"List.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L74-L82","name":"List.rotateLeft","line":74,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateLeft","doc":""},"List.reverse_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L67-L68","name":"List.reverse_reverse","line":67,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_reverse","doc":""},"List.reverse_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L171-L172","name":"List.reverse_nil","line":171,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_nil","doc":""},"List.reverse_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L174-L176","name":"List.reverse_cons","line":174,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_cons","doc":""},"List.reverse_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L178-L181","name":"List.reverse_append","line":178,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_append","doc":""},"List.reverseAux_reverseAux_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L57-L60","name":"List.reverseAux_reverseAux_nil","line":57,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux_nil","doc":""},"List.reverseAux_reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L62-L65","name":"List.reverseAux_reverseAux","line":62,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux","doc":""},"List.reverseAux_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L163-L169","name":"List.reverseAux_eq_append","line":163,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_eq_append","doc":""},"List.reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L42-L44","name":"List.reverseAux","line":42,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverseAux","doc":"Auxiliary for `List.reverse`. `List.reverseAux l r = l.reverse ++ r`, but it is defined directly. "},"List.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L54-L55","name":"List.reverse","line":54,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverse","doc":"`O(|as|)`. Reverse of a list:\n* `[1, 2, 3, 4].reverse = [4, 3, 2, 1]`\n\nNote that because of the \"functional but in place\" optimization implemented by Lean's compiler,\nthis function works without any allocations provided that the input list is unshared:\nit simply walks the linked list and reverses all the node pointers.\n"},"List.repr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L246-L250","name":"List.repr'","line":246,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr'","doc":""},"List.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L237-L241","name":"List.repr","line":237,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr","doc":""},"List.replicate_eq_replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L752-L754","name":"List.replicate_eq_replicateTR","line":752,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicate_eq_replicateTR","doc":""},"List.replicateTR_loop_replicate_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L747-L750","name":"List.replicateTR_loop_replicate_eq","line":747,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicateTR_loop_replicate_eq","doc":""},"List.replicateTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L742-L744","name":"List.replicateTR.loop","line":742,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR.loop","doc":""},"List.replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L741-L745","name":"List.replicateTR","line":741,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR","doc":"Tail-recursive version of `List.replicate`. "},"List.replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L736-L738","name":"List.replicate","line":736,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicate","doc":"`replicate n a` is `n` copies of `a`:\n* `replicate 5 a = [a, a, a, a, a]`\n"},"List.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L320-L324","name":"List.replace","line":320,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replace","doc":"`O(|l|)`. `replace l a b` replaces the first element in the list equal to `a` with `b`.\n\n* `replace [1, 4, 2, 3, 3, 7] 3 6 = [1, 4, 2, 6, 3, 7]`\n* `replace [1, 4, 2, 3, 3, 7] 5 6 = [1, 4, 2, 3, 3, 7]`\n"},"List.removeAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L466-L467","name":"List.removeAll","line":466,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.removeAll","doc":"`O(|xs|)`. Computes the \"set difference\" of lists,\nby filtering out all elements of `xs` which are also in `ys`.\n* `removeAll [1, 1, 5, 1, 2, 4, 5] [1, 2, 2] = [5, 4, 5]`\n "},"List.redLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2644-L2646","name":"List.redLength","line":2644,"kind":"def","docLink":"./Init/Prelude.html#List.redLength","doc":"A non-tail-recursive version of `List.length`, used for `List.toArray`. "},"List.range.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L575-L577","name":"List.range.loop","line":575,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range.loop","doc":""},"List.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L572-L577","name":"List.range","line":572,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range","doc":"`O(n)`. `range n` is the numbers from `0` to `n` exclusive, in increasing order.\n* `range 5 = [0, 1, 2, 3, 4]`\n"},"List.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L646-L646","name":"List.pure","line":646,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.pure","doc":"`pure x = [x]` is the `pure` operation of the list monad. "},"List.partition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L270-L275","name":"List.partition.loop","line":270,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition.loop","doc":""},"List.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L267-L275","name":"List.partition","line":267,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition","doc":"`O(|l|)`. `partition p l` calls `p` on each element of `l`, partitioning the list into two lists\n`(l_true, l_false)` where `l_true` has the elements where `p` was true\nand `l_false` has the elements where `p` is false.\n`partition p l = (filter p l, filter (not ∘ p) l)`, but it is slightly more efficient\nsince it only has to do one pass over the list.\n```\npartition (· > 2) [1, 2, 5, 2, 7, 7] = ([5, 7, 7], [1, 2, 2])\n```\n"},"List.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L536-L536","name":"List.or","line":536,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.or","doc":"`O(|l|)`. Returns true if `true` is an element of the list of booleans `l`.\n* `or [a, b, c] = a || b || c`\n"},"List.of_concat_eq_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L841-L848","name":"List.of_concat_eq_concat","line":841,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.of_concat_eq_concat","doc":""},"List.notElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L339-L340","name":"List.notElem","line":339,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.notElem","doc":"`notElem a l` is `!(elem a l)`. "},"List.nil_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L92-L92","name":"List.nil_append","line":92,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.nil_append","doc":""},"List.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2183-L2184","name":"List.nil","line":2183,"kind":"ctor","docLink":"./Init/Prelude.html#List.nil","doc":"`[]` is the empty list. "},"List.minimum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L821-L823","name":"List.minimum?","line":821,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.minimum?","doc":"Returns the smallest element of the list, if it is not empty.\n* `[].minimum? = none`\n* `[4].minimum? = some 4`\n* `[1, 4, 2, 10, 6].minimum? = some 1`\n"},"List.mem_of_elem_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L359-L366","name":"List.mem_of_elem_eq_true","line":359,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_of_elem_eq_true","doc":""},"List.mem_append_of_mem_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L382-L386","name":"List.mem_append_of_mem_right","line":382,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_right","doc":""},"List.mem_append_of_mem_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L376-L380","name":"List.mem_append_of_mem_left","line":376,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_left","doc":""},"List.maximum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L811-L813","name":"List.maximum?","line":811,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.maximum?","doc":"Returns the largest element of the list, if it is not empty.\n* `[].maximum? = none`\n* `[4].maximum? = some 4`\n* `[1, 4, 2, 10, 6].maximum? = some 10`\n"},"List.map_eq_mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L192-L194","name":"List.map_eq_mapTR","line":192,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.map_eq_mapTR","doc":""},"List.mapTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L183-L190","name":"List.mapTR_loop_eq","line":183,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mapTR_loop_eq","doc":""},"List.mapTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L159-L161","name":"List.mapTR.loop","line":159,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR.loop","doc":""},"List.mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L156-L161","name":"List.mapTR","line":156,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR","doc":"Tail-recursive version of `List.map`. "},"List.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L202-L205","name":"List.mapMonoM","line":202,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMonoM","doc":"Monomorphic `List.mapM`. The internal implementation uses pointer equality, and does not allocate a new list\nif the result of each `f a` is a pointer equal value `a`.\n"},"List.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L207-L208","name":"List.mapMono","line":207,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMono","doc":""},"List.mapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L45-L47","name":"List.mapM.loop","line":45,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM.loop","doc":""},"List.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L44-L48","name":"List.mapM","line":44,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM","doc":""},"List.mapA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L51-L53","name":"List.mapA","line":51,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapA","doc":""},"List.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L151-L153","name":"List.map","line":151,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.map","doc":"`O(|l|)`. `map f l` applies `f` to each element of the list.\n* `map f [a, b, c] = [f a, f b, f c]`\n"},"List.lt.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L657-L658","name":"List.lt.tail","line":657,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.tail","doc":"If `a` and `b` are equivalent and `as < bs`, then `a::as < b::bs`. "},"List.lt.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L653-L654","name":"List.lt.nil","line":653,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.nil","doc":"`[]` is the smallest element in the order. "},"List.lt.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L655-L656","name":"List.lt.head","line":655,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.head","doc":"If `a < b` then `a::as < b::bs`. "},"List.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L652-L658","name":"List.lt","line":652,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.lt","doc":"The lexicographic order on lists.\n`[] < a::as`, and `a::as < b::bs` if `a < b` or if `a` and `b` are equivalent and `as < bs`.\n"},"List.lookup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L456-L460","name":"List.lookup","line":456,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.lookup","doc":"`O(|l|)`. `lookup a l` treats `l : List (α × β)` like an association list,\nand returns the first `β` value corresponding to an `α` value in the list equal to `a`.\n\n* `lookup 3 [(1, 2), (3, 4), (3, 5)] = some 4`\n* `lookup 2 [(1, 2), (3, 4), (3, 5)] = none`\n"},"List.length_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L775-L781","name":"List.length_set","line":775,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_set","doc":""},"List.length_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L800-L803","name":"List.length_reverse","line":800,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_reverse","doc":""},"List.length_replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L767-L768","name":"List.length_replicate","line":767,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_replicate","doc":""},"List.length_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L38-L39","name":"List.length_nil","line":38,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_nil","doc":""},"List.length_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L795-L798","name":"List.length_map","line":795,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_map","doc":""},"List.length_eq_lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L34-L36","name":"List.length_eq_lengthTR","line":34,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_eq_lengthTR","doc":""},"List.length_dropLast_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L783-L788","name":"List.length_dropLast_cons","line":783,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_dropLast_cons","doc":""},"List.length_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2248-L2249","name":"List.length_cons","line":2248,"kind":"theorem","docLink":"./Init/Prelude.html#List.length_cons","doc":""},"List.length_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L770-L773","name":"List.length_concat","line":770,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_concat","doc":""},"List.length_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L790-L793","name":"List.length_append","line":790,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_append","doc":""},"List.length_add_eq_lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L27-L32","name":"List.length_add_eq_lengthTRAux","line":27,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_add_eq_lengthTRAux","doc":""},"List.lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2237-L2239","name":"List.lengthTRAux","line":2237,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTRAux","doc":"Auxiliary function for `List.lengthTR`. "},"List.lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2245-L2246","name":"List.lengthTR","line":2245,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTR","doc":"A tail-recursive version of `List.length`, used to implement `List.length`\nwithout running out of stack space.\n"},"List.length":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2232-L2234","name":"List.length","line":2232,"kind":"def","docLink":"./Init/Prelude.html#List.length","doc":"The length of a list: `[].length = 0` and `(a :: l).length = l.length + 1`.\n\nThis function is overridden in the compiler to `lengthTR`, which uses constant\nstack space, while leaving this function to use the \"naive\" recursion which is\neasier for reasoning.\n"},"List.le_antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L168-L182","name":"List.le_antisymm","line":168,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.le_antisymm","doc":""},"List.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L682-L682","name":"List.le","line":682,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.le","doc":"The lexicographic order on lists. "},"List.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L200-L202","name":"List.join","line":200,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.join","doc":"`O(|join L|)`. `join L` concatenates all the lists in `L` into one list.\n* `join [[a], [], [b, c], [d, e, f]] = [a, b, c, d, e, f]`\n"},"List.isSuffixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L709-L710","name":"List.isSuffixOf?","line":709,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf?","doc":"`isSuffixOf? l₁ l₂` returns `some t` when `l₂ == t ++ l₁`."},"List.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L705-L706","name":"List.isSuffixOf","line":705,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf","doc":"`isSuffixOf l₁ l₂` returns `true` Iff `l₁` is a suffix of `l₂`.\nThat is, there exists a `t` such that `l₂ == t ++ l₁`. "},"List.isPrefixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L697-L701","name":"List.isPrefixOf?","line":697,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf?","doc":"`isPrefixOf? l₁ l₂` returns `some t` when `l₂ == l₁ ++ t`. "},"List.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L691-L694","name":"List.isPrefixOf","line":691,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf","doc":"`isPrefixOf l₁ l₂` returns `true` Iff `l₁` is a prefix of `l₂`.\nThat is, there exists a `t` such that `l₂ == l₁ ++ t`. "},"List.isEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L716-L719","name":"List.isEqv","line":716,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEqv","doc":"`O(min |as| |bs|)`. Returns true if `as` and `bs` have the same length,\nand they are pairwise related by `eqv`.\n"},"List.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L143-L145","name":"List.isEmpty","line":143,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEmpty","doc":"`O(1)`. `isEmpty l` is true if the list is empty.\n* `isEmpty [] = true`\n* `isEmpty [a] = false`\n* `isEmpty [a, b] = false`\n"},"List.iota_eq_iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L595-L600","name":"List.iota_eq_iotaTR","line":595,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.iota_eq_iotaTR","doc":""},"List.iotaTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L589-L591","name":"List.iotaTR.go","line":589,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR.go","doc":""},"List.iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L588-L592","name":"List.iotaTR","line":588,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR","doc":"Tail-recursive version of `iota`. "},"List.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L583-L585","name":"List.iota","line":583,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iota","doc":"`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.\n* `iota 5 = [5, 4, 3, 2, 1]`\n"},"List.intersperse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L623-L626","name":"List.intersperse","line":623,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intersperse","doc":"`O(|l|)`. `intersperse sep l` alternates `sep` and the elements of `l`:\n* `intersperse sep [] = []`\n* `intersperse sep [a] = [a]`\n* `intersperse sep [a, b] = [a, sep, b]`\n* `intersperse sep [a, b, c] = [a, sep, b, sep, c]`\n"},"List.intercalate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L635-L636","name":"List.intercalate","line":635,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intercalate","doc":"`O(|xs|)`. `intercalate sep xs` alternates `sep` and the elements of `xs`:\n* `intercalate sep [] = []`\n* `intercalate sep [a] = a`\n* `intercalate sep [a, b] = a ++ sep ++ b`\n* `intercalate sep [a, b, c] = a ++ sep ++ b ++ sep ++ c`\n"},"List.instMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L356-L357","name":"List.instMembershipList","line":356,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instMembershipList","doc":""},"List.instLawfulBEqListInstBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L825-L839","name":"List.instLawfulBEqListInstBEqList","line":825,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLawfulBEqListInstBEqList","doc":""},"List.instLTList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L660-L660","name":"List.instLTList","line":660,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLTList","doc":""},"List.instLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L684-L684","name":"List.instLEList","line":684,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLEList","doc":""},"List.instGetElemListNatLtInstLTNatLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L18-L19","name":"List.instGetElemListNatLtInstLTNatLength","line":18,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instGetElemListNatLtInstLTNatLength","doc":""},"List.instFunctorList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L195-L196","name":"List.instFunctorList","line":195,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instFunctorList","doc":""},"List.instForMList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L187-L188","name":"List.instForMList","line":187,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForMList","doc":""},"List.instForInList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L150-L151","name":"List.instForInList","line":150,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForInList","doc":""},"List.instForIn'ListInferInstanceMembershipInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L175-L176","name":"List.instForIn'ListInferInstanceMembershipInstMembershipList","line":175,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForIn'ListInferInstanceMembershipInstMembershipList","doc":""},"List.instForAllListDecidableLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L686-L687","name":"List.instForAllListDecidableLeInstLEList","line":686,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instForAllListDecidableLeInstLEList","doc":""},"List.instEmptyCollectionList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L113-L113","name":"List.instEmptyCollectionList","line":113,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instEmptyCollectionList","doc":""},"List.instDecidableMemListInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L373-L374","name":"List.instDecidableMemListInstMembershipList","line":373,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instDecidableMemListInstMembershipList","doc":""},"List.instBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L730-L730","name":"List.instBEqList","line":730,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instBEqList","doc":""},"List.instAppendList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L90-L90","name":"List.instAppendList","line":90,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instAppendList","doc":""},"List.instAntisymmListLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L184-L185","name":"List.instAntisymmListLeInstLEList","line":184,"kind":"instance","docLink":"./Init/Data/List/BasicAux.html#List.instAntisymmListLeInstLEList","doc":""},"List.headD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L38-L40","name":"List.headD","line":38,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.headD","doc":""},"List.head?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L34-L36","name":"List.head?","line":34,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head?","doc":""},"List.head!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L30-L32","name":"List.head!","line":30,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head!","doc":""},"List.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L42-L43","name":"List.head","line":42,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head","doc":""},"List.hasDecidableLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L662-L679","name":"List.hasDecidableLt","line":662,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.hasDecidableLt","doc":""},"List.hasDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2193-L2203","name":"List.hasDecEq","line":2193,"kind":"def","docLink":"./Init/Prelude.html#List.hasDecEq","doc":"Implements decidable equality for `List α`, assuming `α` has decidable equality. "},"List.groupBy.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L443-L447","name":"List.groupBy.loop","line":443,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy.loop","doc":""},"List.groupBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L439-L447","name":"List.groupBy","line":439,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy","doc":"`O(|l|)`. `groupBy R l` splits `l` into chains of elements\nsuch that adjacent elements are related by `R`.\n\n* `groupBy (·==·) [1, 1, 2, 2, 2, 3, 2] = [[1, 1], [2, 2, 2], [3], [2]]`\n* `groupBy (·<·) [1, 2, 5, 4, 5, 1, 4] = [[1, 2, 5], [4, 5], [1, 4]]`\n"},"List.get_last":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L109-L117","name":"List.get_last","line":109,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_last","doc":""},"List.get_drop_eq_drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L483-L486","name":"List.get_drop_eq_drop","line":483,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.get_drop_eq_drop","doc":""},"List.get_append_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L102-L107","name":"List.get_append_right","line":102,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_right","doc":""},"List.get_append_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L94-L100","name":"List.get_append_left","line":94,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_left","doc":""},"List.getLastD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L70-L72","name":"List.getLastD","line":70,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLastD","doc":""},"List.getLast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L66-L68","name":"List.getLast?","line":66,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast?","doc":""},"List.getLast!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L62-L64","name":"List.getLast!","line":62,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast!","doc":""},"List.getLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L57-L60","name":"List.getLast","line":57,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast","doc":""},"List.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L27-L28","name":"List.getD","line":27,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getD","doc":""},"List.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L22-L25","name":"List.get?","line":22,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get?","doc":""},"List.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L17-L20","name":"List.get!","line":17,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get!","doc":""},"List.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2261-L2263","name":"List.get","line":2261,"kind":"def","docLink":"./Init/Prelude.html#List.get","doc":"`as.get i` returns the `i`'th element of the list `as`.\nThis version of the function uses `i : Fin as.length` to ensure that it will\nnot index out of bounds.\n"},"List.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Instances.lean#L16-L18","name":"List.format","line":16,"kind":"def","docLink":"./Init/Data/Format/Instances.html#List.format","doc":""},"List.forM_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L190-L191","name":"List.forM_nil","line":190,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_nil","doc":""},"List.forM_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L192-L193","name":"List.forM_cons","line":192,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_cons","doc":""},"List.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L56-L59","name":"List.forM","line":56,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forM","doc":""},"List.forIn_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L153-L154","name":"List.forIn_nil","line":153,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_nil","doc":""},"List.forIn_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L156-L158","name":"List.forIn_cons","line":156,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_cons","doc":""},"List.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L142-L147","name":"List.forIn.loop","line":142,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn.loop","doc":""},"List.forIn'_eq_forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L178-L185","name":"List.forIn'_eq_forIn","line":178,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn'_eq_forIn","doc":""},"List.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L161-L172","name":"List.forIn'.loop","line":161,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'.loop","doc":""},"List.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L160-L173","name":"List.forIn'","line":160,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'","doc":""},"List.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L141-L148","name":"List.forIn","line":141,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn","doc":""},"List.forA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L62-L65","name":"List.forA","line":62,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forA","doc":""},"List.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L101-L102","name":"List.foldrM","line":101,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldrM","doc":""},"List.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L514-L516","name":"List.foldr","line":514,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.foldr","doc":"`O(|l|)`. Applies function `f` to all of the elements of the list, from right to left.\n* `foldr f init [a, b, c] = f a <| f b <| f c <| init`\n"},"List.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L94-L98","name":"List.foldlM","line":94,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldlM","doc":""},"List.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2212-L2214","name":"List.foldl","line":2212,"kind":"def","docLink":"./Init/Prelude.html#List.foldl","doc":"Folds a function over a list from the left:\n`foldl f z [a, b, c] = f (f (f z a) b) c`\n"},"List.firstM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L105-L107","name":"List.firstM","line":105,"kind":"def","docLink":"./Init/Data/List/Control.html#List.firstM","doc":""},"List.findSomeM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L134-L139","name":"List.findSomeM?","line":134,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findSomeM?","doc":""},"List.findSome?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L308-L312","name":"List.findSome?","line":308,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.findSome?","doc":"`O(|l|)`. `findSome? f l` applies `f` to each element of `l`, and returns the first non-`none` result.\n\n* `findSome? (fun x => if x < 5 then some (10 * x) else none) [7, 6, 5, 8, 1, 2, 6] = some 10`\n"},"List.findM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L126-L131","name":"List.findM?","line":126,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findM?","doc":""},"List.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L297-L301","name":"List.find?","line":297,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.find?","doc":"`O(|l|)`. `find? p l` returns the first element for which `p` returns true,\nor `none` if no such element is found.\n\n* `find? (· < 5) [7, 6, 5, 8, 1, 2, 6] = some 1`\n* `find? (· < 1) [7, 6, 5, 8, 1, 2, 6] = none`\n"},"List.filter_eq_filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L253-L255","name":"List.filter_eq_filterTR","line":253,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filter_eq_filterTR","doc":""},"List.filterTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L243-L251","name":"List.filterTR_loop_eq","line":243,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filterTR_loop_eq","doc":""},"List.filterTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L237-L241","name":"List.filterTR.loop","line":237,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR.loop","doc":""},"List.filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L234-L241","name":"List.filterTR","line":234,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR","doc":"Tail-recursive version of `List.filter`. "},"List.filterRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L80-L81","name":"List.filterRevM","line":80,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterRevM","doc":""},"List.filterMapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L85-L90","name":"List.filterMapM.loop","line":85,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM.loop","doc":""},"List.filterMapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L84-L91","name":"List.filterMapM","line":84,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM","doc":""},"List.filterMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L214-L219","name":"List.filterMap","line":214,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterMap","doc":"`O(|l|)`. `filterMap f l` takes a function `f : α → Option β` and applies it to each element of `l`;\nthe resulting non-`none` values are collected to form the output list.\n```\nfilterMap\n (fun x => if x > 2 then some (2 * x) else none)\n [1, 2, 5, 2, 7, 7]\n= [10, 14, 14]\n```\n"},"List.filterM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L75-L77","name":"List.filterM","line":75,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterM","doc":""},"List.filterAuxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L68-L72","name":"List.filterAuxM","line":68,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterAuxM","doc":""},"List.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L227-L231","name":"List.filter","line":227,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filter","doc":"`O(|l|)`. `filter f l` returns the list of elements in `l` for which `f` returns true.\n```\nfilter (· > 2) [1, 2, 5, 2, 7, 7] = [5, 7, 7]\n```\n"},"List.eraseReps.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L409-L413","name":"List.eraseReps.loop","line":409,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps.loop","doc":""},"List.eraseReps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L405-L413","name":"List.eraseReps","line":405,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps","doc":"`O(|l|)`. Erase repeated adjacent elements. Keeps the first occurrence of each run.\n* `eraseReps [1, 3, 2, 2, 2, 3, 5] = [1, 3, 2, 3, 5]`\n"},"List.eraseIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L132-L135","name":"List.eraseIdx","line":132,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseIdx","doc":"`O(i)`. `eraseIdx l i` removes the `i`'th element of the list `l`.\n* `erase [a, b, c, d, e] 0 = [b, c, d, e]`\n* `erase [a, b, c, d, e] 1 = [a, c, d, e]`\n* `erase [a, b, c, d, e] 5 = [a, b, c, d, e]`\n"},"List.eraseDups.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L395-L399","name":"List.eraseDups.loop","line":395,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups.loop","doc":""},"List.eraseDups":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L392-L399","name":"List.eraseDups","line":392,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups","doc":"`O(|l|^2)`. Erase duplicated elements in the list.\nKeeps the first occurrence of duplicated elements.\n* `eraseDups [1, 3, 2, 2, 3, 5] = [1, 3, 2, 5]`\n"},"List.erase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L120-L124","name":"List.erase","line":120,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.erase","doc":"`O(|l|)`. `erase l a` removes the first occurrence of `a` from `l`.\n* `erase [1, 5, 3, 2, 5] 5 = [1, 3, 2, 5]`\n* `erase [1, 5, 3, 2, 5] 6 = [1, 5, 3, 2, 5]`\n"},"List.enumFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L606-L608","name":"List.enumFrom","line":606,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enumFrom","doc":"`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.\n* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`\n"},"List.enum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L614-L614","name":"List.enum","line":614,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enum","doc":"`O(|l|)`. `enum l` pairs up each element with its index in the list.\n* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`\n"},"List.elem_eq_true_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L368-L371","name":"List.elem_eq_true_of_mem","line":368,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.elem_eq_true_of_mem","doc":""},"List.elem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L332-L336","name":"List.elem","line":332,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.elem","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.drop_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L480-L481","name":"List.drop_nil","line":480,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_nil","doc":""},"List.drop_eq_nil_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L853-L857","name":"List.drop_eq_nil_of_le","line":853,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_eq_nil_of_le","doc":""},"List.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L284-L288","name":"List.dropWhile","line":284,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropWhile","doc":"`O(|l|)`. `dropWhile p l` removes elements from the list until it finds the first element\nfor which `p` returns false; this element and everything after it is returned.\n```\ndropWhile (· < 4) [1, 3, 2, 4, 2, 7, 4] = [4, 2, 7, 4]\n```\n"},"List.dropLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L762-L765","name":"List.dropLast","line":762,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropLast","doc":"Removes the last element of the list.\n* `dropLast [] = []`\n* `dropLast [a] = []`\n* `dropLast [a, b, c] = [a, b]`\n"},"List.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L475-L478","name":"List.drop","line":475,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.drop","doc":"`O(min n |xs|)`. Removes the first `n` elements of `xs`.\n* `drop 0 [a, b, c, d, e] = [a, b, c, d, e]`\n* `drop 3 [a, b, c, d, e] = [d, e]`\n* `drop 6 [a, b, c, d, e] = []`\n"},"List.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L342-L343","name":"List.contains","line":342,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.contains","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.cons_getElem_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L21-L22","name":"List.cons_getElem_zero","line":21,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_zero","doc":""},"List.cons_getElem_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L24-L25","name":"List.cons_getElem_succ","line":24,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_succ","doc":""},"List.cons_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L99-L99","name":"List.cons_append","line":99,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_append","doc":""},"List.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2185-L2187","name":"List.cons","line":2185,"kind":"ctor","docLink":"./Init/Prelude.html#List.cons","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"List.concat_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L850-L851","name":"List.concat_eq_append","line":850,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.concat_eq_append","doc":""},"List.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2252-L2254","name":"List.concat","line":2252,"kind":"def","docLink":"./Init/Prelude.html#List.concat","doc":"`l.concat a` appends `a` at the *end* of `l`, that is, `l ++ [a]`. "},"List.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L643-L643","name":"List.bind","line":643,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.bind","doc":"`bind xs f` is the bind operation of the list monad. It applies `f` to each element of `xs`\nto get a list of lists, and then concatenates them all together.\n* `[2, 3, 2].bind range = [0, 1, 0, 1, 2, 0, 1]`\n"},"List.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L725-L728","name":"List.beq","line":725,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.beq","doc":"The equality relation on lists asserts that they have the same length\nand they are pairwise `BEq`.\n"},"List.asString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L12-L13","name":"List.asString","line":12,"kind":"def","docLink":"./Init/Data/String/Basic.html#List.asString","doc":""},"List.append_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L93-L97","name":"List.append_nil","line":93,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_nil","doc":""},"List.append_eq_appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L82-L88","name":"List.append_eq_appendTR","line":82,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq_appendTR","doc":""},"List.append_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L101-L101","name":"List.append_eq","line":101,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq","doc":""},"List.append_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L108-L111","name":"List.append_cons","line":108,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_cons","doc":""},"List.append_cancel_right_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L155-L158","name":"List.append_cancel_right_eq","line":155,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right_eq","doc":""},"List.append_cancel_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L143-L148","name":"List.append_cancel_right","line":143,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right","doc":""},"List.append_cancel_left_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L150-L153","name":"List.append_cancel_left_eq","line":150,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left_eq","doc":""},"List.append_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L136-L141","name":"List.append_cancel_left","line":136,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left","doc":""},"List.append_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L103-L106","name":"List.append_assoc","line":103,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_assoc","doc":""},"List.appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L79-L80","name":"List.appendTR","line":79,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.appendTR","doc":"Tail-recursive version of `List.append`. "},"List.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L74-L76","name":"List.append","line":74,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.append","doc":"`O(|xs|)`: append two lists. `[1, 2, 3] ++ [4, 5] = [1, 2, 3, 4, 5]`.\nIt takes time proportional to the first list.\n"},"List.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L110-L115","name":"List.anyM","line":110,"kind":"def","docLink":"./Init/Data/List/Control.html#List.anyM","doc":""},"List.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L522-L523","name":"List.any","line":522,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.any","doc":"`O(|l|)`. Returns true if `p` is true for any element of `l`.\n* `any p [a, b, c] = p a || p b || p c`\n"},"List.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L542-L542","name":"List.and","line":542,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.and","doc":"`O(|l|)`. Returns true if every element of `l` is the value `true`.\n* `and [a, b, c] = a && b && c`\n"},"List.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L118-L123","name":"List.allM","line":118,"kind":"def","docLink":"./Init/Data/List/Control.html#List.allM","doc":""},"List.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L529-L530","name":"List.all","line":529,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.all","doc":"`O(|l|)`. Returns true if `p` is true for every element of `l`.\n* `all p [a, b, c] = p a && p b && p c`\n"},"List.Mem.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L353-L354","name":"List.Mem.tail","line":353,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.tail","doc":"A member of the tail of a list is a member of the list: `a ∈ l → a ∈ b :: l`. "},"List.Mem.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L351-L352","name":"List.Mem.head","line":351,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.head","doc":"The head of a list is a member: `a ∈ a :: as`. "},"List.Mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L350-L354","name":"List.Mem","line":350,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.Mem","doc":"`a ∈ l` is a predicate which asserts that `a` is in the list `l`.\nUnlike `elem`, this uses `=` instead of `==` and is suited for mathematical reasoning.\n* `a ∈ [x, y, z] ↔ a = x ∨ a = y ∨ a = z`\n"},"List":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2182-L2187","name":"List","line":2182,"kind":"inductive","docLink":"./Init/Prelude.html#List","doc":"`List α` is the type of ordered lists with elements of type `α`.\nIt is implemented as a linked list.\n\n`List α` is isomorphic to `Array α`, but they are useful for different things:\n* `List α` is easier for reasoning, and\n `Array α` is modeled as a wrapper around `List α`\n* `List α` works well as a persistent data structure, when many copies of the\n tail are shared. When the value is not shared, `Array α` will have better\n performance because it can do destructive 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"},"Lean.resolveNamespaceCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L214-L218","name":"Lean.resolveNamespaceCore","line":214,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespaceCore","doc":"Given a namespace name, return a list of possible interpretations.\nNames extracted from syntax should be passed to `resolveNamespace` instead.\n"},"Lean.resolveNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L221-L230","name":"Lean.resolveNamespace","line":221,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespace","doc":"Given a namespace identifier, return a list of possible interpretations. 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"},"Lean.mkSimpleThunkType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L674-L675","name":"Lean.mkSimpleThunkType","line":674,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkSimpleThunkType","doc":"Return `Unit -> type`. 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frontend.\n"},"Lean.mkNameMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/NameMap.lean#L17-L17","name":"Lean.mkNameMap","line":17,"kind":"def","docLink":"./Lean/Data/NameMap.html#Lean.mkNameMap","doc":""},"Lean.mkModuleInitializationFunctionName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/NameMangling.lean#L63-L64","name":"Lean.mkModuleInitializationFunctionName","line":63,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.mkModuleInitializationFunctionName","doc":""},"Lean.mkModuleData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L639-L650","name":"Lean.mkModuleData","line":639,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkModuleData","doc":""},"Lean.mkMapDeclarationExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L579-L585","name":"Lean.mkMapDeclarationExtension","line":579,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkMapDeclarationExtension","doc":""},"Lean.mkMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L727-L727","name":"Lean.mkMVarEx","line":727,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVarEx","doc":""},"Lean.mkMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L640-L641","name":"Lean.mkMVar","line":640,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVar","doc":"`.mvar 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form.\n"},"Lean.mkLocalDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/LocalContext.lean#L57-L58","name":"Lean.mkLocalDeclEx","line":57,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLocalDeclEx","doc":""},"Lean.mkLitEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L734-L734","name":"Lean.mkLitEx","line":734,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLitEx","doc":""},"Lean.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L701-L702","name":"Lean.mkLit","line":701,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLit","doc":"`.lit l` is now the preferred form.\n"},"Lean.mkListNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L386-L387","name":"Lean.mkListNode","line":386,"kind":"def","docLink":"./Lean/Syntax.html#Lean.mkListNode","doc":""},"Lean.mkLevelZeroEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L152-L152","name":"Lean.mkLevelZeroEx","line":152,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelZeroEx","doc":""},"Lean.mkLevelSuccEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L153-L153","name":"Lean.mkLevelSuccEx","line":153,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSuccEx","doc":""},"Lean.mkLevelSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L141-L142","name":"Lean.mkLevelSucc","line":141,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSucc","doc":""},"Lean.mkLevelParamEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L155-L155","name":"Lean.mkLevelParamEx","line":155,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParamEx","doc":""},"Lean.mkLevelParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L138-L139","name":"Lean.mkLevelParam","line":138,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParam","doc":""},"Lean.mkLevelMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L156-L156","name":"Lean.mkLevelMaxEx","line":156,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMaxEx","doc":""},"Lean.mkLevelMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L503-L504","name":"Lean.mkLevelMax'","line":503,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax'","doc":""},"Lean.mkLevelMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L144-L145","name":"Lean.mkLevelMax","line":144,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax","doc":""},"Lean.mkLevelMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L154-L154","name":"Lean.mkLevelMVarEx","line":154,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVarEx","doc":""},"Lean.mkLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L135-L136","name":"Lean.mkLevelMVar","line":135,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVar","doc":""},"Lean.mkLevelIMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L157-L157","name":"Lean.mkLevelIMaxEx","line":157,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMaxEx","doc":""},"Lean.mkLevelIMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L517-L518","name":"Lean.mkLevelIMax'","line":517,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax'","doc":""},"Lean.mkLevelIMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L147-L148","name":"Lean.mkLevelIMax","line":147,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax","doc":""},"Lean.mkLetFunAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1670-L1671","name":"Lean.mkLetFunAnnotation","line":1670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetFunAnnotation","doc":"Annotate `e` with the `let_fun` annotation. This annotation is used as hint for the delaborator.\nIf `e` is of the form `(fun x : t => b) v`, then `mkLetFunAnnotation e` is delaborated at\n`let_fun x : t := v; b`\n"},"Lean.mkLetEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L733-L733","name":"Lean.mkLetEx","line":733,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetEx","doc":""},"Lean.mkLetDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/LocalContext.lean#L60-L61","name":"Lean.mkLetDeclEx","line":60,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLetDeclEx","doc":""},"Lean.mkLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L684-L685","name":"Lean.mkLet","line":684,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLet","doc":"`.letE x t v b nonDep` is now the preferred form.\n"},"Lean.mkLambdaEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L731-L731","name":"Lean.mkLambdaEx","line":731,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambdaEx","doc":""},"Lean.mkLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L664-L665","name":"Lean.mkLambda","line":664,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambda","doc":"`.lam x t b bi` is now the preferred form.\n"},"Lean.mkLHSGoalRaw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1742-L1743","name":"Lean.mkLHSGoalRaw","line":1742,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLHSGoalRaw","doc":"Annotate `e` with the LHS annotation. The delaborator displays\nexpressions of the form `lhs = rhs` as `lhs` when they have this annotation.\nThis is used to implement the infoview for the `conv` mode.\n\nThis version of `mkLHSGoal` does not check that the argument is an equality.\n"},"Lean.mkInductiveValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L243-L256","name":"Lean.mkInductiveValEx","line":243,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveValEx","doc":""},"Lean.mkInductiveDeclEs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L165-L166","name":"Lean.mkInductiveDeclEs","line":165,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveDeclEs","doc":""},"Lean.mkInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1691-L1692","name":"Lean.mkInaccessible","line":1691,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkInaccessible","doc":"Auxiliary annotation used to mark terms marked with the \"inaccessible\" annotation `.(t)` and\n`_` in patterns.\n"},"Lean.mkIdentFromRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L507-L508","name":"Lean.mkIdentFromRef","line":507,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFromRef","doc":""},"Lean.mkIdentFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L504-L505","name":"Lean.mkIdentFrom","line":504,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFrom","doc":"Create an identifier copying the position from `src`.\nTo refer to a specific constant, use `mkCIdentFrom` instead. "},"Lean.mkIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L526-L527","name":"Lean.mkIdent","line":526,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdent","doc":""},"Lean.mkIBelowImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L15-L15","name":"Lean.mkIBelowImp","line":15,"kind":"opaque","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelowImp","doc":""},"Lean.mkIBelow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L29-L29","name":"Lean.mkIBelow","line":29,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelow","doc":""},"Lean.mkHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L548-L549","name":"Lean.mkHole","line":548,"kind":"def","docLink":"./Init/Meta.html#Lean.mkHole","doc":""},"Lean.mkHashSetImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashSet.lean#L20-L24","name":"Lean.mkHashSetImp","line":20,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSetImp","doc":""},"Lean.mkHashSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashSet.lean#L127-L128","name":"Lean.mkHashSet","line":127,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSet","doc":""},"Lean.mkHashMapImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashMap.lean#L24-L28","name":"Lean.mkHashMapImp","line":24,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMapImp","doc":""},"Lean.mkHashMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashMap.lean#L137-L138","name":"Lean.mkHashMap","line":137,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMap","doc":""},"Lean.mkGroupNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L529-L530","name":"Lean.mkGroupNode","line":529,"kind":"def","docLink":"./Init/Meta.html#Lean.mkGroupNode","doc":""},"Lean.mkFreshMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1766-L1767","name":"Lean.mkFreshMVarId","line":1766,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshMVarId","doc":"Polymorphic operation for generating unique/fresh metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshLMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1773-L1774","name":"Lean.mkFreshLMVarId","line":1773,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshLMVarId","doc":"Polymorphic operation for generating unique/fresh universe metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L245-L249","name":"Lean.mkFreshId","line":245,"kind":"def","docLink":"./Init/Meta.html#Lean.mkFreshId","doc":""},"Lean.mkFreshFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1759-L1760","name":"Lean.mkFreshFVarId","line":1759,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshFVarId","doc":"Polymorphic operation for generating unique/fresh free variable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkForallEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L732-L732","name":"Lean.mkForallEx","line":732,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForallEx","doc":""},"Lean.mkForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L670-L671","name":"Lean.mkForall","line":670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForall","doc":"`.forallE x t b bi` is now the preferred form.\n"},"Lean.mkFVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L726-L726","name":"Lean.mkFVarEx","line":726,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVarEx","doc":""},"Lean.mkFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L632-L633","name":"Lean.mkFVar","line":632,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVar","doc":"`.fvar fvarId` is now the preferred form.\nThis function is seldom used, free variables are often automatically created using the\ntelescope functions (e.g., `forallTelescope` and `lambdaTelescope`) at `MetaM`.\n"},"Lean.mkErrorStringWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Message.lean#L17-L21","name":"Lean.mkErrorStringWithPos","line":17,"kind":"def","docLink":"./Lean/Message.html#Lean.mkErrorStringWithPos","doc":""},"Lean.mkEmptyEnvironment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L381-L391","name":"Lean.mkEmptyEnvironment","line":381,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkEmptyEnvironment","doc":""},"Lean.mkEM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1783-L1783","name":"Lean.mkEM","line":1783,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkEM","doc":"Return `Classical.em p` "},"Lean.mkDefinitionValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L109-L111","name":"Lean.mkDefinitionValEx","line":109,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkDefinitionValEx","doc":""},"Lean.mkDefaultFnOfProjFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Structure.lean#L162-L163","name":"Lean.mkDefaultFnOfProjFn","line":162,"kind":"def","docLink":"./Lean/Structure.html#Lean.mkDefaultFnOfProjFn","doc":""},"Lean.mkDecIsTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1236-L1237","name":"Lean.mkDecIsTrue","line":1236,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsTrue","doc":""},"Lean.mkDecIsFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1239-L1240","name":"Lean.mkDecIsFalse","line":1239,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsFalse","doc":""},"Lean.mkConstructorValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L278-L287","name":"Lean.mkConstructorValEx","line":278,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkConstructorValEx","doc":""},"Lean.mkConstWithLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MonadEnv.lean#L96-L98","name":"Lean.mkConstWithLevelParams","line":96,"kind":"def","docLink":"./Lean/MonadEnv.html#Lean.mkConstWithLevelParams","doc":""},"Lean.mkConstEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L729-L729","name":"Lean.mkConstEx","line":729,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConstEx","doc":""},"Lean.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L608-L609","name":"Lean.mkConst","line":608,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConst","doc":"`mkConst 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"},"Lean.Widget.diffHypothesesBundle.withTypeDiff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L220-L226","name":"Lean.Widget.diffHypothesesBundle.withTypeDiff","line":220,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle.withTypeDiff","doc":""},"Lean.Widget.diffHypothesesBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L203-L226","name":"Lean.Widget.diffHypothesesBundle","line":203,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle","doc":"Diffs the given hypothesis bundle against the given local context.\n\nIf `useAfter == true`, `ctx₀` is the context _before_ and `h₁` is the bundle _after_.\nIf `useAfter == false`, these are swapped.\n "},"Lean.Widget.diffHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L228-L230","name":"Lean.Widget.diffHypotheses","line":228,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypotheses","doc":""},"Lean.Widget.addInteractiveHypothesisBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveGoal.lean#L116-L130","name":"Lean.Widget.addInteractiveHypothesisBundle","line":116,"kind":"def","docLink":"./Lean/Widget/InteractiveGoal.html#Lean.Widget.addInteractiveHypothesisBundle","doc":"Extend an array of hypothesis bundles with another bundle. "},"Lean.Widget.addDiffTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L192-L194","name":"Lean.Widget.addDiffTags","line":192,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.addDiffTags","doc":"Given a `diff` between `before` and `after : Expr`, and the rendered `infoAfter : CodeWithInfos` for `after`,\nthis function decorates `infoAfter` with tags indicating where the expression has changed.\n\nIf `useAfter == false` before and after are swapped. "},"Lean.Widget.WidgetSource.sourcetext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L25-L25","name":"Lean.Widget.WidgetSource.sourcetext","line":25,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.sourcetext","doc":"Sourcetext of the code to run."},"Lean.Widget.WidgetSource.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.WidgetSource.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.mk","doc":""},"Lean.Widget.WidgetSource":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L23-L26","name":"Lean.Widget.WidgetSource","line":23,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource","doc":"A custom piece of code that is run on the editor client.\n\nThe editor can use the `Lean.Widget.getWidgetSource` RPC method to\nget this object.\n\nSee the [manual entry](doc/widgets.md) above this declaration for more information on\nhow to use the widgets system.\n\n"},"Lean.Widget.UserWidgetInstance.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L132-L132","name":"Lean.Widget.UserWidgetInstance.range?","line":132,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.range?","doc":"The location of the widget instance in the Lean file. "},"Lean.Widget.UserWidgetInstance.props":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L130-L130","name":"Lean.Widget.UserWidgetInstance.props","line":130,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.props","doc":"Arguments to be fed to the widget's main component. "},"Lean.Widget.UserWidgetInstance.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetInstance.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.mk","doc":""},"Lean.Widget.UserWidgetInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L128-L133","name":"Lean.Widget.UserWidgetInstance","line":128,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance","doc":"UserWidget accompanied by component props. "},"Lean.Widget.UserWidgetDefinition.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L40-L40","name":"Lean.Widget.UserWidgetDefinition.name","line":40,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.name","doc":"Pretty name of user widget to display to the user. "},"Lean.Widget.UserWidgetDefinition.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetDefinition.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.mk","doc":""},"Lean.Widget.UserWidgetDefinition.javascript":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L42-L42","name":"Lean.Widget.UserWidgetDefinition.javascript","line":42,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.javascript","doc":"An ESmodule that exports a react component to render. "},"Lean.Widget.UserWidgetDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L38-L43","name":"Lean.Widget.UserWidgetDefinition","line":38,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition","doc":"Use this structure and the `@[widget]` attribute to define your own widgets.\n\n```lean\n@[widget]\ndef rubiks : UserWidgetDefinition :=\n { name := \"Rubiks cube app\"\n javascript := include_str ...\n }\n```\n"},"Lean.Widget.UserWidget.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L48-L48","name":"Lean.Widget.UserWidget.name","line":48,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.name","doc":"Pretty name of widget to display to the user."},"Lean.Widget.UserWidget.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidget.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.mk","doc":""},"Lean.Widget.UserWidget.javascriptHash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L49-L49","name":"Lean.Widget.UserWidget.javascriptHash","line":49,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.javascriptHash","doc":""},"Lean.Widget.UserWidget.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L46-L46","name":"Lean.Widget.UserWidget.id","line":46,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.id","doc":""},"Lean.Widget.UserWidget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L45-L50","name":"Lean.Widget.UserWidget","line":45,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget","doc":""},"Lean.Widget.TaggedText.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L17-L17","name":"Lean.Widget.TaggedText.text","line":17,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.text","doc":""},"Lean.Widget.TaggedText.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L23-L23","name":"Lean.Widget.TaggedText.tag","line":23,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.tag","doc":""},"Lean.Widget.TaggedText.stripTags.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L95-L100","name":"Lean.Widget.TaggedText.stripTags.go","line":95,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags.go","doc":""},"Lean.Widget.TaggedText.stripTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L93-L100","name":"Lean.Widget.TaggedText.stripTags","line":93,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags","doc":"Remove tags, leaving just the pretty-printed string. "},"Lean.Widget.TaggedText.rewriteM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L61-L64","name":"Lean.Widget.TaggedText.rewriteM","line":61,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewriteM","doc":"Like `mapM` but allows rewriting the whole subtree at `tag` nodes. "},"Lean.Widget.TaggedText.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L54-L57","name":"Lean.Widget.TaggedText.rewrite","line":54,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewrite","doc":""},"Lean.Widget.TaggedText.prettyTagged":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L89-L90","name":"Lean.Widget.TaggedText.prettyTagged","line":89,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.prettyTagged","doc":"The output is tagged with `(tag, indent)` where `tag` is from the input `Format` and `indent`\nis the indentation level at this point. The latter is used to print sub-trees accurately by passing\nit again as the `indent` argument. "},"Lean.Widget.TaggedText.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L48-L51","name":"Lean.Widget.TaggedText.mapM","line":48,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.mapM","doc":""},"Lean.Widget.TaggedText.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L42-L45","name":"Lean.Widget.TaggedText.map","line":42,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.map","doc":""},"Lean.Widget.TaggedText.instRpcEncodableTaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L66-L68","name":"Lean.Widget.TaggedText.instRpcEncodableTaggedText","line":66,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instRpcEncodableTaggedText","doc":""},"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L76-L84","name":"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","line":76,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","doc":""},"Lean.Widget.TaggedText.instInhabitedTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L74-L74","name":"Lean.Widget.TaggedText.instInhabitedTaggedState","line":74,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instInhabitedTaggedState","doc":""},"Lean.Widget.TaggedText.appendText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L28-L33","name":"Lean.Widget.TaggedText.appendText","line":28,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendText","doc":""},"Lean.Widget.TaggedText.appendTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L35-L39","name":"Lean.Widget.TaggedText.appendTag","line":35,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendTag","doc":""},"Lean.Widget.TaggedText.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L18-L22","name":"Lean.Widget.TaggedText.append","line":18,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.append","doc":"Invariants:\n- non-empty\n- no adjacent `text` elements (they should be collapsed)\n- no directly nested `append`s (but `append #[tag _ (append ..)]` is okay) "},"Lean.Widget.TaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L16-L24","name":"Lean.Widget.TaggedText","line":16,"kind":"inductive","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText","doc":"The minimal structure needed to represent \"string with interesting (tagged) substrings\".\nMuch like Lean 3 [`sf`](https://github.com/leanprover-community/mathlib/blob/bfa6bbbce69149792cc009ab7f9bc146181dc051/src/tactic/interactive_expr.lean#L38),\nbut with indentation already stringified. "},"Lean.Widget.SubexprInfo.withDiffTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L57-L58","name":"Lean.Widget.SubexprInfo.withDiffTag","line":57,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.withDiffTag","doc":""},"Lean.Widget.SubexprInfo.subexprPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L34-L34","name":"Lean.Widget.SubexprInfo.subexprPos","line":34,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.subexprPos","doc":"The position of this subexpression within the top-level expression. See `Lean.SubExpr`. "},"Lean.Widget.SubexprInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L1-L1","name":"Lean.Widget.SubexprInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.mk","doc":""},"Lean.Widget.SubexprInfo.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L32-L32","name":"Lean.Widget.SubexprInfo.info","line":32,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.info","doc":"The `Elab.Info` node with the semantics of this part of the output. "},"Lean.Widget.SubexprInfo.diffStatus?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L40-L40","name":"Lean.Widget.SubexprInfo.diffStatus?","line":40,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.diffStatus?","doc":"In certain situations such as when goal states change between positions in a tactic-mode proof,\nwe can show subexpression-level diffs between two expressions. This field asks the renderer to\ndisplay the subexpression as in a diff view (e.g. red/green like `git diff`). "},"Lean.Widget.SubexprInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L30-L41","name":"Lean.Widget.SubexprInfo","line":30,"kind":"structure","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo","doc":"Information about a subexpression within delaborated code. 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"},"Lean.SyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3575-L3575","name":"Lean.SyntaxNodeKind","line":3575,"kind":"def","docLink":"./Init/Prelude.html#Lean.SyntaxNodeKind","doc":"A `SyntaxNodeKind` classifies `Syntax.node` values. It is an abbreviation for\n`Name`, and you can use name literals to construct `SyntaxNodeKind`s, but\nthey need not refer to declarations in the environment. 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"},"Lean.Syntax.unsetTrailing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L398-L401","name":"Lean.Syntax.unsetTrailing","line":398,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.unsetTrailing","doc":""},"Lean.Syntax.unescapeAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L434-L438","name":"Lean.Syntax.unescapeAntiquot","line":434,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.unescapeAntiquot","doc":""},"Lean.Syntax.topDown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L249-L249","name":"Lean.Syntax.topDown","line":249,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.topDown","doc":"`for _ in stx.topDown` iterates through each node and leaf in `stx` top-down, left-to-right.\nIf `firstChoiceOnly` is `true`, only visit the first argument of each choice node.\n"},"Lean.Syntax.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L749-L752","name":"Lean.Syntax.toNat","line":749,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.toNat","doc":""},"Lean.Syntax.structEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L335-L340","name":"Lean.Syntax.structEq","line":335,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.structEq","doc":"Compare syntax structures modulo source info. "},"Lean.Syntax.splitNameLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L837-L838","name":"Lean.Syntax.splitNameLit","line":837,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.splitNameLit","doc":"Split a name literal (without the backtick) into its dot-separated components. For example,\n`foo.bla.«bo.o»` ↦ `[\"foo\", \"bla\", \"«bo.o»\"]`. If the literal cannot be parsed, return `[]`. "},"Lean.Syntax.setTailInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L384-L391","name":"Lean.Syntax.setTailInfoAux","line":384,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfoAux","doc":""},"Lean.Syntax.setTailInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L393-L396","name":"Lean.Syntax.setTailInfo","line":393,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfo","doc":""},"Lean.Syntax.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3775-L3778","name":"Lean.Syntax.setKind","line":3775,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setKind","doc":"Changes the kind at the root of a `Syntax` node to `k`.\nDoes nothing for non-`node` 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syntax node with 8 children "},"Lean.Syntax.node7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3655-L3656","name":"Lean.Syntax.node7","line":3655,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node7","doc":"Create syntax node with 7 children "},"Lean.Syntax.node6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3651-L3652","name":"Lean.Syntax.node6","line":3651,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node6","doc":"Create syntax node with 6 children "},"Lean.Syntax.node5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3647-L3648","name":"Lean.Syntax.node5","line":3647,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node5","doc":"Create syntax node with 5 children "},"Lean.Syntax.node4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3643-L3644","name":"Lean.Syntax.node4","line":3643,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node4","doc":"Create syntax node with 4 children "},"Lean.Syntax.node3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3639-L3640","name":"Lean.Syntax.node3","line":3639,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node3","doc":"Create syntax node with 3 children "},"Lean.Syntax.node2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3635-L3636","name":"Lean.Syntax.node2","line":3635,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node2","doc":"Create syntax node with 2 children 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"},"Lean.Server.Watchdog.ServerContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L134-L145","name":"Lean.Server.Watchdog.ServerContext","line":134,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.ServerContext","doc":""},"Lean.Server.Watchdog.PendingRequestMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L96-L96","name":"Lean.Server.Watchdog.PendingRequestMap","line":96,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.PendingRequestMap","doc":""},"Lean.Server.Watchdog.FileWorkerMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L132-L132","name":"Lean.Server.Watchdog.FileWorkerMap","line":132,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorkerMap","doc":""},"Lean.Server.Watchdog.FileWorker.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L117-L118","name":"Lean.Server.Watchdog.FileWorker.stdout","line":117,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdout","doc":""},"Lean.Server.Watchdog.FileWorker.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L114-L115","name":"Lean.Server.Watchdog.FileWorker.stdin","line":114,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdin","doc":""},"Lean.Server.Watchdog.FileWorker.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L104-L104","name":"Lean.Server.Watchdog.FileWorker.state","line":104,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.state","doc":""},"Lean.Server.Watchdog.FileWorker.proc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L102-L102","name":"Lean.Server.Watchdog.FileWorker.proc","line":102,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.proc","doc":""},"Lean.Server.Watchdog.FileWorker.pendingRequestsRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L110-L110","name":"Lean.Server.Watchdog.FileWorker.pendingRequestsRef","line":110,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.pendingRequestsRef","doc":"The pending requests map contains all requests\nthat have been received from the LSP client, but were not answered yet.\nWe need them for forwaring cancellation requests to the correct worker as well as cleanly aborting\nrequests on worker crashes. "},"Lean.Server.Watchdog.FileWorker.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L1-L1","name":"Lean.Server.Watchdog.FileWorker.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.mk","doc":""},"Lean.Server.Watchdog.FileWorker.errorPendingRequests":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L123-L126","name":"Lean.Server.Watchdog.FileWorker.errorPendingRequests","line":123,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.errorPendingRequests","doc":""},"Lean.Server.Watchdog.FileWorker.erasePendingRequest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L120-L121","name":"Lean.Server.Watchdog.FileWorker.erasePendingRequest","line":120,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.erasePendingRequest","doc":""},"Lean.Server.Watchdog.FileWorker.doc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L101-L101","name":"Lean.Server.Watchdog.FileWorker.doc","line":101,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.doc","doc":""},"Lean.Server.Watchdog.FileWorker.commTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L103-L103","name":"Lean.Server.Watchdog.FileWorker.commTask","line":103,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.commTask","doc":""},"Lean.Server.Watchdog.FileWorker":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L100-L110","name":"Lean.Server.Watchdog.FileWorker","line":100,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker","doc":""},"Lean.Server.Snapshots.server.stderrAsMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L95-L99","name":"Lean.Server.Snapshots.server.stderrAsMessages","line":95,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.server.stderrAsMessages","doc":""},"Lean.Server.Snapshots.parseNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L87-L93","name":"Lean.Server.Snapshots.parseNextCmd","line":87,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.parseNextCmd","doc":"Parses the next command occurring after the given snapshot\nwithout elaborating it. "},"Lean.Server.Snapshots.dummyTacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L24-L24","name":"Lean.Server.Snapshots.dummyTacticCache","line":24,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.dummyTacticCache","doc":""},"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L155-L161","name":"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","line":155,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","doc":"Compute the current interactive diagnostics log by finding a \"diff\" relative to the parent\nsnapshot. We need to do this because unlike the `MessageLog` itself, interactive diags are not\npart of the command state. "},"Lean.Server.Snapshots.compileNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L106-L161","name":"Lean.Server.Snapshots.compileNextCmd","line":106,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd","doc":"Compiles the next command occurring after the given snapshot. If there is no next command\n(file ended), `Snapshot.isAtEnd` will hold of the return value. "},"Lean.Server.Snapshots.Snapshot.tacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L40-L40","name":"Lean.Server.Snapshots.Snapshot.tacticCache","line":40,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.tacticCache","doc":""},"Lean.Server.Snapshots.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L33-L33","name":"Lean.Server.Snapshots.Snapshot.stx","line":33,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.stx","doc":""},"Lean.Server.Snapshots.Snapshot.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L80-L81","name":"Lean.Server.Snapshots.Snapshot.runTermElabM","line":80,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runTermElabM","doc":"Run a `TermElabM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L76-L77","name":"Lean.Server.Snapshots.Snapshot.runCoreM","line":76,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCoreM","doc":"Run a `CoreM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L66-L73","name":"Lean.Server.Snapshots.Snapshot.runCommandElabM","line":66,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCommandElabM","doc":"Use the command state in the given snapshot to run a `CommandElabM`."},"Lean.Server.Snapshots.Snapshot.msgLog":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L50-L51","name":"Lean.Server.Snapshots.Snapshot.msgLog","line":50,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.msgLog","doc":""},"Lean.Server.Snapshots.Snapshot.mpState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L34-L34","name":"Lean.Server.Snapshots.Snapshot.mpState","line":34,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mpState","doc":""},"Lean.Server.Snapshots.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L1-L1","name":"Lean.Server.Snapshots.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mk","doc":""},"Lean.Server.Snapshots.Snapshot.isAtEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L61-L62","name":"Lean.Server.Snapshots.Snapshot.isAtEnd","line":61,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.isAtEnd","doc":""},"Lean.Server.Snapshots.Snapshot.interactiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L39-L39","name":"Lean.Server.Snapshots.Snapshot.interactiveDiags","line":39,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.interactiveDiags","doc":"We cache interactive diagnostics in order not to invoke the pretty-printer again on messages\nfrom previous snapshots when publishing diagnostics for every new snapshot (this is quadratic),\nas well as not to invoke it once again when handling `$/lean/interactiveDiagnostics`. "},"Lean.Server.Snapshots.Snapshot.infoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L56-L59","name":"Lean.Server.Snapshots.Snapshot.infoTree","line":56,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.infoTree","doc":""},"Lean.Server.Snapshots.Snapshot.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L47-L48","name":"Lean.Server.Snapshots.Snapshot.env","line":47,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.env","doc":""},"Lean.Server.Snapshots.Snapshot.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L44-L45","name":"Lean.Server.Snapshots.Snapshot.endPos","line":44,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.endPos","doc":""},"Lean.Server.Snapshots.Snapshot.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L53-L54","name":"Lean.Server.Snapshots.Snapshot.diagnostics","line":53,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.diagnostics","doc":""},"Lean.Server.Snapshots.Snapshot.cmdState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L35-L35","name":"Lean.Server.Snapshots.Snapshot.cmdState","line":35,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.cmdState","doc":""},"Lean.Server.Snapshots.Snapshot.beginPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L32-L32","name":"Lean.Server.Snapshots.Snapshot.beginPos","line":32,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.beginPos","doc":"Where the command which produced this snapshot begins. Note that\nneighbouring snapshots are *not* necessarily attached beginning-to-end,\nsince inputs outside the grammar advance the parser but do not produce\nsnapshots. "},"Lean.Server.Snapshots.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L27-L40","name":"Lean.Server.Snapshots.Snapshot","line":27,"kind":"structure","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot","doc":"What Lean knows about the world after the header and each command. "},"Lean.Server.RpcObjectStore.nextRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L44-L44","name":"Lean.Server.RpcObjectStore.nextRef","line":44,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.nextRef","doc":"Value to use for the next `RpcRef`. It is monotonically increasing to avoid any possible\nbugs resulting from its reuse. "},"Lean.Server.RpcObjectStore.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L1-L1","name":"Lean.Server.RpcObjectStore.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.mk","doc":""},"Lean.Server.RpcObjectStore.aliveRefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L41-L41","name":"Lean.Server.RpcObjectStore.aliveRefs","line":41,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.aliveRefs","doc":"Objects that are being kept alive for the RPC client, together with their type names,\nmapped to by their RPC reference.\n\nNote that we may currently have multiple references to the same object. It is only disposed\nof once all of those are gone. 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"},"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L96-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","line":96,"kind":"instance","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L34-L34","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getPos","line":34,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L33-L33","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","line":33,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.descend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L36-L37","name":"Lean.PrettyPrinter.Delaborator.SubExpr.descend","line":36,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.descend","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L95-L95","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","line":95,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L104-L105","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","line":104,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L107-L110","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","line":107,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L94-L94","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","line":94,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L93-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","line":93,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.State.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.mk","doc":""},"Lean.PrettyPrinter.Delaborator.State.infos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L48-L48","name":"Lean.PrettyPrinter.Delaborator.State.infos","line":48,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.infos","doc":"We attach `Elab.Info` at various locations in the `Syntax` output in order to convey\nits semantics. While the elaborator emits `InfoTree`s, here we have no real text location tree\nto traverse, so we use a flattened map. "},"Lean.PrettyPrinter.Delaborator.State.holeIter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L50-L50","name":"Lean.PrettyPrinter.Delaborator.State.holeIter","line":50,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.holeIter","doc":"See `SubExpr.nextExtraPos`. "},"Lean.PrettyPrinter.Delaborator.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L44-L50","name":"Lean.PrettyPrinter.Delaborator.State","line":44,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L108-L108","name":"Lean.PrettyPrinter.Delaborator.ParamKind.name","line":108,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.name","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.ParamKind.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.mk","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L113-L114","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","line":113,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L111-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","line":111,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.defVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L110-L110","name":"Lean.PrettyPrinter.Delaborator.ParamKind.defVal","line":110,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.defVal","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L109-L109","name":"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","line":109,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L107-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind","line":107,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind","doc":""},"Lean.PrettyPrinter.Delaborator.OptionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L18-L18","name":"Lean.PrettyPrinter.Delaborator.OptionsPerPos","line":18,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.OptionsPerPos","doc":""},"Lean.PrettyPrinter.Delaborator.DelabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L56-L56","name":"Lean.PrettyPrinter.Delaborator.DelabM","line":56,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.DelabM","doc":""},"Lean.PrettyPrinter.Delaborator.Delab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L57-L57","name":"Lean.PrettyPrinter.Delaborator.Delab","line":57,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Delab","doc":""},"Lean.PrettyPrinter.Delaborator.Context.subExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L42-L42","name":"Lean.PrettyPrinter.Delaborator.Context.subExpr","line":42,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Context.subExpr","doc":""},"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L38-L38","name":"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos","lin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"},"Lean.Parser.ppLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L106-L106","name":"Lean.Parser.ppLine","line":106,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppLine","doc":"No-op parser that advises the pretty printer to emit a hard line break. "},"Lean.Parser.ppIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L112-L112","name":"Lean.Parser.ppIndent","line":112,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppIndent","doc":"No-op parser combinator that advises the pretty printer to indent the given syntax without grouping it. "},"Lean.Parser.ppHardSpace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L102-L102","name":"Lean.Parser.ppHardSpace","line":102,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardSpace","doc":"No-op parser that advises the pretty printer to emit a non-breaking space. "},"Lean.Parser.ppHardLineUnlessUngrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L144-L144","name":"Lean.Parser.ppHardLineUnlessUngrouped","line":144,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardLineUnlessUngrouped","doc":"No-op parser combinator that prints a line break.\nThe line break is soft if the combinator is followed\nby an ungrouped parser (see ppAllowUngrouped), otherwise hard. "},"Lean.Parser.ppGroup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L116-L116","name":"Lean.Parser.ppGroup","line":116,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppGroup","doc":"No-op parser combinator that advises the pretty printer to group and indent the given syntax.\nBy default, only syntax categories are grouped. "},"Lean.Parser.ppDedentIfGrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L138-L138","name":"Lean.Parser.ppDedentIfGrouped","line":138,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedentIfGrouped","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax,\nif it was grouped by the category parser.\nDedenting can in particular be used to counteract automatic indentation. "},"Lean.Parser.ppDedent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L120-L120","name":"Lean.Parser.ppDedent","line":120,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedent","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax.\nDedenting can in particular be used to counteract automatic indentation. 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"},"Lean.Parser.Term.unop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L516-L517","name":"Lean.Parser.Term.unop","line":516,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unop","doc":""},"Lean.Parser.Term.typeSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L199-L199","name":"Lean.Parser.Term.typeSpec","line":199,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeSpec","doc":""},"Lean.Parser.Term.typeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L535-L536","name":"Lean.Parser.Term.typeOf","line":535,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeOf","doc":""},"Lean.Parser.Term.typeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L138-L139","name":"Lean.Parser.Term.typeAscription","line":138,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeAscription","doc":"Type ascription notation: `(0 : Int)` instructs Lean to process `0` as a value of type `Int`.\nAn empty type ascription `(e :)` elaborates `e` without the expected type.\nThis is occasionally useful when Lean's heuristics for filling arguments from the expected type\ndo not yield the right result.\n"},"Lean.Parser.Term.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L109-L110","name":"Lean.Parser.Term.type","line":109,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.type","doc":"A type universe. `Type ≡ Type 0`, `Type u ≡ Sort (u + 1)`. "},"Lean.Parser.Term.tuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L141-L142","name":"Lean.Parser.Term.tuple","line":141,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.tuple","doc":"Tuple notation; `()` is short for `Unit.unit`, `(a, b, c)` for `Prod.mk a (Prod.mk b c)`, etc. "},"Lean.Parser.Term.trueVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L303-L303","name":"Lean.Parser.Term.trueVal","line":303,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trueVal","doc":""},"Lean.Parser.Term.trailing_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L376-L377","name":"Lean.Parser.Term.trailing_parser","line":376,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trailing_parser","doc":""},"Lean.Parser.Term.termUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L206-L207","name":"Lean.Parser.Term.termUnless","line":206,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termUnless","doc":"`unless e do s` is a nicer way to write `if !e do s`. "},"Lean.Parser.Term.termTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L210-L211","name":"Lean.Parser.Term.termTry","line":210,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termTry","doc":""},"Lean.Parser.Term.termReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L216-L217","name":"Lean.Parser.Term.termReturn","line":216,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termReturn","doc":"`return` used outside of `do` blocks creates an implicit block around it\nand thus is equivalent to `pure e`, but helps with avoiding parentheses.\n"},"Lean.Parser.Term.termFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L208-L209","name":"Lean.Parser.Term.termFor","line":208,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termFor","doc":""},"Lean.Parser.Term.termBeforeDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L31-L31","name":"Lean.Parser.Term.termBeforeDo","line":31,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termBeforeDo","doc":""},"Lean.Parser.Term.syntheticHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L120-L121","name":"Lean.Parser.Term.syntheticHole","line":120,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.syntheticHole","doc":""},"Lean.Parser.Term.sufficesDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L168-L169","name":"Lean.Parser.Term.sufficesDecl","line":168,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sufficesDecl","doc":""},"Lean.Parser.Term.suffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L170-L171","name":"Lean.Parser.Term.suffices","line":170,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.suffices","doc":""},"Lean.Parser.Term.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L634-L635","name":"Lean.Parser.Term.subst","line":634,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.subst","doc":"`h ▸ e` is a macro built on top of `Eq.rec` and `Eq.symm` definitions.\nGiven `h : a = b` and `e : p a`, the term `h ▸ e` has type `p b`.\nYou can also view `h ▸ e` as a \"type casting\" operation\nwhere you change the type of `e` by using `h`.\nSee the Chapter \"Quantifiers and Equality\" in the manual\n\"Theorem Proving in Lean\" for additional information.\n"},"Lean.Parser.Term.structInstLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L175-L177","name":"Lean.Parser.Term.structInstLVal","line":175,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstLVal","doc":""},"Lean.Parser.Term.structInstFieldAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L180-L182","name":"Lean.Parser.Term.structInstFieldAbbrev","line":180,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstFieldAbbrev","doc":""},"Lean.Parser.Term.structInstField":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L178-L179","name":"Lean.Parser.Term.structInstField","line":178,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstField","doc":""},"Lean.Parser.Term.structInstArrayRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L173-L174","name":"Lean.Parser.Term.structInstArrayRef","line":173,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstArrayRef","doc":""},"Lean.Parser.Term.structInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L194-L198","name":"Lean.Parser.Term.structInst","line":194,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInst","doc":"Structure instance. `{ x := e, ... }` assigns `e` to field `x`, which may be\ninherited. If `e` is itself a variable called `x`, it can be elided:\n`fun y => { x := 1, y }`.\nA *structure update* of an existing value can be given via `with`:\n`{ point with x := 1 }`.\nThe structure type can be specified if not inferable:\n`{ x := 1, y := 2 : Point }`.\n"},"Lean.Parser.Term.strictImplicitRightBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L239-L239","name":"Lean.Parser.Term.strictImplicitRightBracket","line":239,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitRightBracket","doc":""},"Lean.Parser.Term.strictImplicitLeftBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L238-L238","name":"Lean.Parser.Term.strictImplicitLeftBracket","line":238,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitLeftBracket","doc":""},"Lean.Parser.Term.strictImplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L245-L247","name":"Lean.Parser.Term.strictImplicitBinder","line":245,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitBinder","doc":"Strict-implicit binder. In contrast to `{ ... }` regular implicit binders,\na strict-implicit binder is inserted automatically only when at least one subsequent\nexplicit parameter is specified.\n"},"Lean.Parser.Term.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L104-L105","name":"Lean.Parser.Term.str","line":104,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.str","doc":""},"Lean.Parser.Term.stateRefT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L670-L671","name":"Lean.Parser.Term.stateRefT","line":670,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.stateRefT","doc":""},"Lean.Parser.Term.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L112-L113","name":"Lean.Parser.Term.sort","line":112,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sort","doc":"A specific universe in Lean's infinite hierarchy of universes. "},"Lean.Parser.Term.sorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L124-L125","name":"Lean.Parser.Term.sorry","line":124,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sorry","doc":"A temporary placeholder for a missing proof or value. "},"Lean.Parser.Term.showRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L167-L167","name":"Lean.Parser.Term.showRhs","line":167,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.showRhs","doc":""},"Lean.Parser.Term.show":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L172-L172","name":"Lean.Parser.Term.show","line":172,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.show","doc":""},"Lean.Parser.Term.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L309-L310","name":"Lean.Parser.Term.set_option","line":309,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.set_option","doc":"`set_option opt val in e` is like `set_option opt val` but scoped to a single term.\nIt sets the option `opt` to the value `val` in the term `e`.\n"},"Lean.Parser.Term.scoped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L480-L480","name":"Lean.Parser.Term.scoped","line":480,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scoped","doc":""},"Lean.Parser.Term.scientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L102-L103","name":"Lean.Parser.Term.scientific","line":102,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scientific","doc":""},"Lean.Parser.Term.quotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L382-L382","name":"Lean.Parser.Term.quotedName","line":382,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.quotedName","doc":"A literal of type `Name`. "},"Lean.Parser.Term.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L13-L14","name":"Lean.Parser.Term.quot","line":13,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.quot","doc":"Syntax quotation for terms. "},"Lean.Parser.Term.prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L115-L116","name":"Lean.Parser.Term.prop","line":115,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.prop","doc":"The universe of propositions. `Prop ≡ Sort 0`. "},"Lean.Parser.Term.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L595-L596","name":"Lean.Parser.Term.proj","line":595,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.proj","doc":"The *extended field notation* `e.f` is roughly short for `T.f e` where `T` is the type of `e`.\nMore precisely,\n* if `e` is of a function type, `e.f` is translated to `Function.f (p := e)`\n where `p` is the first explicit parameter of function type\n* if `e` is of a named type `T ...` and there is a declaration `T.f` (possibly from `export`),\n `e.f` is translated to `T.f (p := e)` where `p` is the first explicit parameter of type `T ...`\n* otherwise, if `e` is of a structure type,\n the above is repeated for every base type of the structure.\n\nThe field index notation `e.i`, where `i` is a positive number,\nis short for accessing the `i`-th field (1-indexed) of `e` if it is of a structure type. "},"Lean.Parser.Term.precheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L15-L16","name":"Lean.Parser.Term.precheckedQuot","line":15,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.precheckedQuot","doc":""},"Lean.Parser.Term.pipeProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L621-L622","name":"Lean.Parser.Term.pipeProj","line":621,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeProj","doc":"`e |>.x` is a shorthand for `(e).x`.\nIt is especially useful for avoiding parentheses with repeated applications.\n"},"Lean.Parser.Term.pipeCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L623-L624","name":"Lean.Parser.Term.pipeCompletion","line":623,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeCompletion","doc":""},"Lean.Parser.Term.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L152-L153","name":"Lean.Parser.Term.paren","line":152,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.paren","doc":"Parentheses, used for grouping expressions (e.g., `a * (b + c)`).\nCan also be used for creating simple functions when combined with `·`. Here are some examples:\n - `(· + 1)` is shorthand for `fun x => x + 1`\n - `(· + ·)` is shorthand for `fun x y => x + y`\n - `(f · a b)` is shorthand for `fun x => f x a b`\n - `(h (· + 1) ·)` is shorthand for `fun x => h (fun y => y + 1) x`\n - also applies to other parentheses-like notations such as `(·, 1)`\n"},"Lean.Parser.Term.panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L648-L649","name":"Lean.Parser.Term.panic","line":648,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.panic","doc":"`panic! msg` formally evaluates to `@Inhabited.default α` if the expected type\n`α` implements `Inhabited`.\nAt runtime, `msg` and the file position are printed to stderr unless the C\nfunction `lean_set_panic_messages(false)` has been executed before. If the C\nfunction `lean_set_exit_on_panic(true)` has been executed before, the process is\nthen aborted.\n"},"Lean.Parser.Term.optType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L200-L200","name":"Lean.Parser.Term.optType","line":200,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optType","doc":""},"Lean.Parser.Term.optSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L94-L95","name":"Lean.Parser.Term.optSemicolon","line":94,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optSemicolon","doc":""},"Lean.Parser.Term.optIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L163-L164","name":"Lean.Parser.Term.optIdent","line":163,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optIdent","doc":""},"Lean.Parser.Term.optExprPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L370-L370","name":"Lean.Parser.Term.optExprPrecedence","line":370,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optExprPrecedence","doc":""},"Lean.Parser.Term.optEllipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L183-L184","name":"Lean.Parser.Term.optEllipsis","line":183,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optEllipsis","doc":""},"Lean.Parser.Term.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L302-L303","name":"Lean.Parser.Term.open","line":302,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.open","doc":"`open Foo in e` is like `open Foo` but scoped to a single term.\nIt makes the given namespaces available in the term `e`.\n"},"Lean.Parser.Term.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L100-L101","name":"Lean.Parser.Term.num","line":100,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.num","doc":""},"Lean.Parser.Term.notFollowedByRedefinedTermToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L39-L46","name":"Lean.Parser.Term.notFollowedByRedefinedTermToken","line":39,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.notFollowedByRedefinedTermToken","doc":""},"Lean.Parser.Term.nomatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L351-L351","name":"Lean.Parser.Term.nomatch","line":351,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.nomatch","doc":"Empty match/ex falso. `nomatch e` is of arbitrary type `α : Sort u` if\nLean can show that an empty set of patterns is exhaustive given `e`'s type,\ne.g. because it has no constructors.\n"},"Lean.Parser.Term.noindex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L504-L505","name":"Lean.Parser.Term.noindex","line":504,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noindex","doc":""},"Lean.Parser.Term.noImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L541-L542","name":"Lean.Parser.Term.noImplicitLambda","line":541,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noImplicitLambda","doc":""},"Lean.Parser.Term.noErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L567-L568","name":"Lean.Parser.Term.noErrorIfUnused","line":567,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noErrorIfUnused","doc":"Helper parser for marking `match`-alternatives that should not trigger errors if unused.\nWe use them to implement `macro_rules` and `elab_rules`\n"},"Lean.Parser.Term.namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L612-L615","name":"Lean.Parser.Term.namedPattern","line":612,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedPattern","doc":"`x@e` matches the pattern `e` and binds its value to the identifier `x`. "},"Lean.Parser.Term.namedArgument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L570-L571","name":"Lean.Parser.Term.namedArgument","line":570,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedArgument","doc":""},"Lean.Parser.Term.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L309-L311","name":"Lean.Parser.Term.motive","line":309,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.motive","doc":""},"Lean.Parser.Term.matchDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L300-L301","name":"Lean.Parser.Term.matchDiscr","line":300,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchDiscr","doc":""},"Lean.Parser.Term.matchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L501-L502","name":"Lean.Parser.Term.matchAltsWhereDecls","line":501,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltsWhereDecls","doc":""},"Lean.Parser.Term.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L297-L298","name":"Lean.Parser.Term.matchAlts","line":297,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlts","doc":""},"Lean.Parser.Term.matchAltExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L292-L292","name":"Lean.Parser.Term.matchAltExpr","line":292,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltExpr","doc":"Useful for syntax quotations. Note that generic patterns such as `` `(matchAltExpr| | ... => $rhs) `` should also\nwork with other `rhsParser`s (of arity 1). "},"Lean.Parser.Term.matchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L283-L288","name":"Lean.Parser.Term.matchAlt","line":283,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlt","doc":""},"Lean.Parser.Term.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L343-L345","name":"Lean.Parser.Term.match","line":343,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.match","doc":"Pattern matching. `match e, ... with | p, ... => f | ...` matches each given\nterm `e` against each pattern `p` of a match alternative. When all patterns\nof an alternative match, the `match` term evaluates to the value of the\ncorresponding right-hand side `f` with the pattern variables bound to the\nrespective matched values.\nWhen not constructing a proof, `match` does not automatically substitute variables\nmatched on in dependent variables' types. Use `match (generalizing := true) ...` to\nenforce this.\n\nSyntax quotations can also be used in a pattern match.\nThis matches a `Syntax` value against quotations, pattern variables, or `_`.\n\nQuoted identifiers only match identical identifiers - custom matching such as by the preresolved\nnames only should be done explicitly.\n\n`Syntax.atom`s are ignored during matching by default except when part of a built-in literal.\nFor users introducing new atoms, we recommend wrapping them in dedicated syntax kinds if they\nshould participate in matching.\nFor example, in\n```lean\nsyntax \"c\" (\"foo\" <|> \"bar\") ...\n```\n`foo` and `bar` are indistinguishable during matching, but in\n```lean\nsyntax foo := \"foo\"\nsyntax \"c\" (foo <|> \"bar\") ...\n```\nthey are not.\n"},"Lean.Parser.Term.macroLastArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L667-L667","name":"Lean.Parser.Term.macroLastArg","line":667,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroLastArg","doc":""},"Lean.Parser.Term.macroDollarArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L666-L666","name":"Lean.Parser.Term.macroDollarArg","line":666,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroDollarArg","doc":""},"Lean.Parser.Term.macroArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L665-L665","name":"Lean.Parser.Term.macroArg","line":665,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroArg","doc":""},"Lean.Parser.Term.local":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L481-L481","name":"Lean.Parser.Term.local","line":481,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.local","doc":""},"Lean.Parser.Term.liftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L19-L20","name":"Lean.Parser.Term.liftMethod","line":19,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.liftMethod","doc":""},"Lean.Parser.Term.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L492-L494","name":"Lean.Parser.Term.letrec","line":492,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letrec","doc":""},"Lean.Parser.Term.let_tmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L466-L467","name":"Lean.Parser.Term.let_tmp","line":466,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_tmp","doc":"`let`-declaration that is only included in the elaborated term if variable is still there.\nIt is often used when building macros.\n"},"Lean.Parser.Term.let_fun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L455-L456","name":"Lean.Parser.Term.let_fun","line":455,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_fun","doc":"`let_fun x := v; b` is syntax sugar for `(fun x => b) v`.\nIt is very similar to `let x := v; b`, but they are not equivalent.\nIn `let_fun`, the value `v` has been abstracted away and cannot be accessed in `b`.\n"},"Lean.Parser.Term.let_delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L460-L461","name":"Lean.Parser.Term.let_delayed","line":460,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_delayed","doc":"`let_delayed x := v; b` is similar to `let x := v; b`, but `b` is elaborated before `v`.\n"},"Lean.Parser.Term.letRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L489-L490","name":"Lean.Parser.Term.letRecDecls","line":489,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecls","doc":""},"Lean.Parser.Term.letRecDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L487-L488","name":"Lean.Parser.Term.letRecDecl","line":487,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecl","doc":""},"Lean.Parser.Term.letPatDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L402-L403","name":"Lean.Parser.Term.letPatDecl","line":402,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letPatDecl","doc":""},"Lean.Parser.Term.letMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L551-L552","name":"Lean.Parser.Term.letMVar","line":551,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letMVar","doc":""},"Lean.Parser.Term.letIdLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L396-L399","name":"Lean.Parser.Term.letIdLhs","line":396,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdLhs","doc":""},"Lean.Parser.Term.letIdDeclNoBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L67-L68","name":"Lean.Parser.Term.letIdDeclNoBinders","line":67,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.letIdDeclNoBinders","doc":""},"Lean.Parser.Term.letIdDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L400-L401","name":"Lean.Parser.Term.letIdDecl","line":400,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdDecl","doc":""},"Lean.Parser.Term.letIdBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L392-L394","name":"Lean.Parser.Term.letIdBinder","line":392,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdBinder","doc":""},"Lean.Parser.Term.letEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L420-L421","name":"Lean.Parser.Term.letEqnsDecl","line":420,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letEqnsDecl","doc":""},"Lean.Parser.Term.letDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L424-L426","name":"Lean.Parser.Term.letDecl","line":424,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letDecl","doc":""},"Lean.Parser.Term.let":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L448-L449","name":"Lean.Parser.Term.let","line":448,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let","doc":"`let` is used to declare a local definition. Example:\n```\nlet x := 1\nlet y := x + 1\nx + y\n```\nSince functions are first class citizens in Lean, you can use `let` to declare\nlocal functions too.\n```\nlet double := fun x => 2*x\ndouble (double 3)\n```\nFor recursive definitions, you should use `let rec`.\nYou can also perform pattern matching using `let`. For example,\nassume `p` has type `Nat × Nat`, then you can write\n```\nlet (x, y) := p\nx + y\n```\n"},"Lean.Parser.Term.leftArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L18-L18","name":"Lean.Parser.Term.leftArrow","line":18,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.leftArrow","doc":""},"Lean.Parser.Term.leading_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L374-L375","name":"Lean.Parser.Term.leading_parser","line":374,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.leading_parser","doc":""},"Lean.Parser.Term.isIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L602-L604","name":"Lean.Parser.Term.isIdent","line":602,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.isIdent","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L638-L638","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","line":638,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L294-L295","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","line":294,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","doc":""},"Lean.Parser.Term.instBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L252-L253","name":"Lean.Parser.Term.instBinder","line":252,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instBinder","doc":"Instance-implicit binder. 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"},"Lean.Parser.Term.doAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L171-L172","name":"Lean.Parser.Term.doAssert","line":171,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.doAssert","doc":""},"Lean.Parser.Term.do":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L197-L198","name":"Lean.Parser.Term.do","line":197,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.do","doc":""},"Lean.Parser.Term.depArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L274-L275","name":"Lean.Parser.Term.depArrow","line":274,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.depArrow","doc":""},"Lean.Parser.Term.defaultOrOfNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L560-L561","name":"Lean.Parser.Term.defaultOrOfNonempty","line":560,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.defaultOrOfNonempty","doc":""},"Lean.Parser.Term.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L525-L525","name":"Lean.Parser.Term.declName","line":525,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.declName","doc":"A macro which evaluates to the name of the currently elaborating declaration. "},"Lean.Parser.Term.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L657-L659","name":"Lean.Parser.Term.dbgTrace","line":657,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.dbgTrace","doc":"`dbg_trace e; body` evaluates to `body` and prints `e` (which can be an\ninterpolated string literal) to stderr. It should only be used for debugging.\n"},"Lean.Parser.Term.completion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L597-L598","name":"Lean.Parser.Term.completion","line":597,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.completion","doc":""},"Lean.Parser.Term.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L548-L549","name":"Lean.Parser.Term.clear","line":548,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.clear","doc":"`clear% x; e` elaborates `x` after clearing the free variable `x` from the local context.\nIf `x` cannot be cleared (due to dependencies), it will keep `x` without failing.\n"},"Lean.Parser.Term.char":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L106-L107","name":"Lean.Parser.Term.char","line":106,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.char","doc":""},"Lean.Parser.Term.cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L130-L131","name":"Lean.Parser.Term.cdot","line":130,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.cdot","doc":"A placeholder for an implicit lambda abstraction's variable. The lambda abstraction is scoped to the surrounding parentheses.\nFor example, `(· + ·)` is equivalent to `fun x y => x + y`.\n"},"Lean.Parser.Term.byTactic'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L90-L91","name":"Lean.Parser.Term.byTactic'","line":90,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic'","doc":""},"Lean.Parser.Term.byTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L81-L82","name":"Lean.Parser.Term.byTactic","line":81,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic","doc":"`by tac` constructs a term of the expected type by running the tactic(s) `tac`. "},"Lean.Parser.Term.bracketedBinderF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L637-L637","name":"Lean.Parser.Term.bracketedBinderF","line":637,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinderF","doc":""},"Lean.Parser.Term.bracketedBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L254-L257","name":"Lean.Parser.Term.bracketedBinder","line":254,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinder","doc":""},"Lean.Parser.Term.borrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L379-L380","name":"Lean.Parser.Term.borrowed","line":379,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.borrowed","doc":""},"Lean.Parser.Term.binrel_no_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L510-L511","name":"Lean.Parser.Term.binrel_no_prop","line":510,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel_no_prop","doc":"Similar to `binrel`, but coerce `Prop` arguments into `Bool`. "},"Lean.Parser.Term.binrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L507-L508","name":"Lean.Parser.Term.binrel","line":507,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel","doc":""},"Lean.Parser.Term.binop_lazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L514-L515","name":"Lean.Parser.Term.binop_lazy","line":514,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop_lazy","doc":""},"Lean.Parser.Term.binop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L512-L513","name":"Lean.Parser.Term.binop","line":512,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop","doc":""},"Lean.Parser.Term.binderType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L213-L214","name":"Lean.Parser.Term.binderType","line":213,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderType","doc":""},"Lean.Parser.Term.binderTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L215-L216","name":"Lean.Parser.Term.binderTactic","line":215,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderTactic","doc":""},"Lean.Parser.Term.binderIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L122-L122","name":"Lean.Parser.Term.binderIdent","line":122,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderIdent","doc":""},"Lean.Parser.Term.binderDefault.parenthesizer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L221-L228","name":"Lean.Parser.Term.binderDefault.parenthesizer","line":221,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault.parenthesizer","doc":""},"Lean.Parser.Term.binderDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L217-L218","name":"Lean.Parser.Term.binderDefault","line":217,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault","doc":""},"Lean.Parser.Term.basicFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L365-L366","name":"Lean.Parser.Term.basicFun","line":365,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.basicFun","doc":""},"Lean.Parser.Term.attributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L485-L486","name":"Lean.Parser.Term.attributes","line":485,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attributes","doc":""},"Lean.Parser.Term.attrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L482-L482","name":"Lean.Parser.Term.attrKind","line":482,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrKind","doc":""},"Lean.Parser.Term.attrInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L483-L483","name":"Lean.Parser.Term.attrInstance","line":483,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrInstance","doc":""},"Lean.Parser.Term.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L661-L662","name":"Lean.Parser.Term.assert","line":661,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.assert","doc":"`assert! cond` panics if `cond` evaluates to `false`. "},"Lean.Parser.Term.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L599-L600","name":"Lean.Parser.Term.arrow","line":599,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.arrow","doc":""},"Lean.Parser.Term.argument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L574-L577","name":"Lean.Parser.Term.argument","line":574,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.argument","doc":""},"Lean.Parser.Term.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L581-L581","name":"Lean.Parser.Term.app","line":581,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.app","doc":""},"Lean.Parser.Term.anonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L161-L162","name":"Lean.Parser.Term.anonymousCtor","line":161,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.anonymousCtor","doc":"The *anonymous constructor* `⟨e, ...⟩` is equivalent to `c e ...` if the\nexpected type is an inductive type with a single constructor `c`.\nIf more terms are given than `c` has parameters, the remaining arguments\nare turned into a new anonymous constructor application. For example,\n`⟨a, b, c⟩ : α × (β × γ)` is equivalent to `⟨a, ⟨b, c⟩⟩`.\n"},"Lean.Parser.Tactic.«tactic_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L245-L250","name":"Lean.Parser.Tactic.«tactic_<;>_»","line":245,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tactic_<;>_»","doc":"`tac <;> tac'` runs `tac` on the main goal and `tac'` on each produced goal,\nconcatenating all goals produced by `tac'`.\n"},"Lean.Parser.Tactic.«tacticNext_=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L165-L165","name":"Lean.Parser.Tactic.«tacticNext_=>_»","line":165,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticNext_=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.«tacticHave'_:=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L514-L514","name":"Lean.Parser.Tactic.«tacticHave'_:=_»","line":514,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticHave'_:=_»","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.«tacticExists_,,»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L730-L731","name":"Lean.Parser.Tactic.«tacticExists_,,»","line":730,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticExists_,,»","doc":"`exists e₁, e₂, ...` is shorthand for `refine ⟨e₁, e₂, ...⟩; try trivial`.\nIt is useful for existential goals.\n"},"Lean.Parser.Tactic.withUnfoldingAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L216-L220","name":"Lean.Parser.Tactic.withUnfoldingAll","line":216,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withUnfoldingAll","doc":"`with_unfolding_all tacs` excutes `tacs` using the `.all` transparency setting.\nIn this setting all definitions that are not opaque are unfolded.\n"},"Lean.Parser.Tactic.withReducibleAndInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L210-L214","name":"Lean.Parser.Tactic.withReducibleAndInstances","line":210,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducibleAndInstances","doc":"`with_reducible_and_instances tacs` excutes `tacs` using the `.instances` transparency setting.\nIn this setting only definitions tagged as `[reducible]` or type class instances are unfolded.\n"},"Lean.Parser.Tactic.withReducible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L204-L208","name":"Lean.Parser.Tactic.withReducible","line":204,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducible","doc":"`with_reducible tacs` excutes `tacs` using the reducible transparency setting.\nIn this setting only definitions tagged as `[reducible]` are unfolded.\n"},"Lean.Parser.Tactic.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L11-L16","name":"Lean.Parser.Tactic.withAnnotateState","line":11,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L22-L23","name":"Lean.Parser.Tactic.unknown","line":22,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.unknown","doc":""},"Lean.Parser.Tactic.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L453-L461","name":"Lean.Parser.Tactic.unfold","line":453,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.unfold","doc":"* `unfold id` unfolds definition `id`.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\n\nFor non-recursive definitions, this tactic is identical to `delta`.\nFor definitions by pattern matching, it uses \"equation lemmas\" which are\nautogenerated for each match arm.\n"},"Lean.Parser.Tactic.traceState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L188-L189","name":"Lean.Parser.Tactic.traceState","line":188,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceState","doc":"`trace_state` displays the current state in the info view. "},"Lean.Parser.Tactic.traceMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L191-L192","name":"Lean.Parser.Tactic.traceMessage","line":191,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceMessage","doc":"`trace msg` displays `msg` in the info view. "},"Lean.Parser.Tactic.tacticUnhygienic_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L690-L690","name":"Lean.Parser.Tactic.tacticUnhygienic_","line":690,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticUnhygienic_","doc":"`unhygienic tacs` runs `tacs` with name hygiene disabled.\nThis means that tactics that would normally create inaccessible names will instead\nmake regular variables. **Warning**: Tactics may change their variable naming\nstrategies at any time, so code that depends on autogenerated names is brittle.\nUsers should try not to use `unhygienic` if possible.\n```\nexample : ∀ x : Nat, x = x := by unhygienic\n intro -- x would normally be intro'd as inaccessible\n exact Eq.refl x -- refer to x\n```\n"},"Lean.Parser.Tactic.tacticTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L239-L239","name":"Lean.Parser.Tactic.tacticTry_","line":239,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.tacticTrivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L618-L626","name":"Lean.Parser.Tactic.tacticTrivial","line":618,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTrivial","doc":"`trivial` tries different simple tactics (e.g., `rfl`, `contradiction`, ...)\nto close the current goal.\nYou can use the command `macro_rules` to extend the set of tactics used. Example:\n```\nmacro_rules | `(tactic| trivial) => `(tactic| simp)\n```\n"},"Lean.Parser.Tactic.tacticSuffices_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L488-L488","name":"Lean.Parser.Tactic.tacticSuffices_","line":488,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSuffices_","doc":"Given a main goal `ctx ⊢ t`, `suffices h : t' from e` replaces the main goal with `ctx ⊢ t'`,\n`e` must have type `t` in the context `ctx, h : t'`.\n\nThe variant `suffices h : t' by tac` is a shorthand for `suffices h : t' from by tac`.\nIf `h :` is omitted, the name `this` is used.\n "},"Lean.Parser.Tactic.tacticStop_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L659-L659","name":"Lean.Parser.Tactic.tacticStop_","line":659,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticStop_","doc":"`stop` is a helper tactic for \"discarding\" the rest of a proof:\nit is defined as `repeat sorry`.\nIt is useful when working on the middle of a complex proofs,\nand less messy than commenting the remainder of the proof.\n"},"Lean.Parser.Tactic.tacticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L286-L286","name":"Lean.Parser.Tactic.tacticSorry","line":286,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSorry","doc":"The `sorry` tactic closes the goal using `sorryAx`. This is intended for stubbing out incomplete\nparts of a proof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n"},"Lean.Parser.Tactic.tacticShow_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L502-L502","name":"Lean.Parser.Tactic.tacticShow_","line":502,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticShow_","doc":"`show t` finds the first goal whose target unifies with `t`. It makes that the main goal,\nperforms the unification, and replaces the target with the unified version of `t`.\n"},"Lean.Parser.Tactic.tacticSeqIndentGt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L64-L65","name":"Lean.Parser.Tactic.tacticSeqIndentGt","line":64,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqIndentGt","doc":"Same as [`tacticSeq`] but requires delimiter-free tactic sequence to have strict indentation.\nThe strict indentation requirement only apply to *nested* `by`s, as top-level `by`s do not have a\nposition set. "},"Lean.Parser.Tactic.tacticSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L53-L54","name":"Lean.Parser.Tactic.tacticSeqBracketed","line":53,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqBracketed","doc":"The syntax `{ tacs }` is an alternative syntax for `· tacs`.\nIt runs the tactics in sequence, and fails if the goal is not solved. "},"Lean.Parser.Tactic.tacticSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L49-L50","name":"Lean.Parser.Tactic.tacticSeq1Indented","line":49,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq1Indented","doc":""},"Lean.Parser.Tactic.tacticSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L58-L59","name":"Lean.Parser.Tactic.tacticSeq","line":58,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq","doc":"A sequence of tactics in brackets, or a delimiter-free indented sequence of tactics.\nDelimiter-free indentation is determined by the *first* tactic of the sequence. "},"Lean.Parser.Tactic.tacticRfl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L266-L266","name":"Lean.Parser.Tactic.tacticRfl'","line":266,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl'","doc":"`rfl'` is similar to `rfl`, but disables smart unfolding and unfolds all kinds of definitions,\ntheorems included (relevant for declarations defined by well-founded recursion).\n"},"Lean.Parser.Tactic.tacticRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L260-L260","name":"Lean.Parser.Tactic.tacticRfl","line":260,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl","doc":"`rfl` tries to close the current goal using reflexivity.\nThis is supposed to be an extensible tactic and users can add their own support\nfor new reflexive relations.\n"},"Lean.Parser.Tactic.tacticRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L609-L614","name":"Lean.Parser.Tactic.tacticRepeat_","line":609,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRepeat_","doc":"`repeat tac` repeatedly applies `tac` to the main goal until it fails.\nThat is, if `tac` produces multiple subgoals, only subgoals up to the first failure will be visited.\nThe `Std` library provides `repeat'` which repeats separately in each subgoal.\n"},"Lean.Parser.Tactic.tacticRefine_lift_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L467-L467","name":"Lean.Parser.Tactic.tacticRefine_lift_","line":467,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift_","doc":"Auxiliary macro for lifting have/suffices/let/...\nIt makes sure the \"continuation\" `?_` is the main goal after refining.\n"},"Lean.Parser.Tactic.tacticRefine_lift'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L510-L510","name":"Lean.Parser.Tactic.tacticRefine_lift'_","line":510,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift'_","doc":"Similar to `refine_lift`, but using `refine'` "},"Lean.Parser.Tactic.tacticLet_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L497-L497","name":"Lean.Parser.Tactic.tacticLet_","line":497,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet_","doc":"`let h : t := e` adds the hypothesis `h : t := e` to the current goal if `e` a term of type `t`.\nIf `t` is omitted, it will be inferred.\nThe variant `let pattern := e` is equivalent to `match e with | pattern => _`,\nand it is convenient for types that have only applicable constructor.\nExample: given `h : p ∧ q ∧ r`, `let ⟨h₁, h₂, h₃⟩ := h` produces the hypotheses\n`h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticLet'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L516-L516","name":"Lean.Parser.Tactic.tacticLet'_","line":516,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet'_","doc":"Similar to `let`, but using `refine'` "},"Lean.Parser.Tactic.tacticInfer_instance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L295-L295","name":"Lean.Parser.Tactic.tacticInfer_instance","line":295,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticInfer_instance","doc":"`infer_instance` is an abbreviation for `exact inferInstance`.\nIt synthesizes a value of any target type by typeclass inference.\n"},"Lean.Parser.Tactic.tacticHave_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L479-L479","name":"Lean.Parser.Tactic.tacticHave_","line":479,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave_","doc":"`have h : t := e` adds the hypothesis `h : t` to the current goal if `e` a term\nof type `t`.\n* If `t` is omitted, it will be inferred.\n* If `h` is omitted, the name `this` is used.\n* The variant `have pattern := e` is equivalent to `match e with | pattern => _`,\n and it is convenient for types that have only one applicable constructor.\n For example, given `h : p ∧ q ∧ r`, `have ⟨h₁, h₂, h₃⟩ := h` produces the\n hypotheses `h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticHave'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L512-L512","name":"Lean.Parser.Tactic.tacticHave'_","line":512,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave'_","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.tacticErw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1298-L1299","name":"Lean.Parser.Tactic.tacticErw__","line":1298,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.tacticErw__","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.tacticAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L289-L289","name":"Lean.Parser.Tactic.tacticAdmit","line":289,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticAdmit","doc":"`admit` is a shorthand for `exact sorry`. "},"Lean.Parser.Tactic.substVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L72-L75","name":"Lean.Parser.Tactic.substVars","line":72,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.substVars","doc":"Applies `subst` to all hypotheses of the form `h : x = t` or `h : t = x`.\n"},"Lean.Parser.Tactic.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L65-L70","name":"Lean.Parser.Tactic.subst","line":65,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.subst","doc":"`subst x...` substitutes each `x` with `e` in the goal if there is a hypothesis\nof type `x = e` or `e = x`.\nIf `x` is itself a hypothesis of type `y = e` or `e = y`, `y` is substituted instead.\n"},"Lean.Parser.Tactic.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L628-L640","name":"Lean.Parser.Tactic.split","line":628,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.split","doc":"The `split` tactic is useful for breaking nested if-then-else and `match` expressions into separate cases.\nFor a `match` expression with `n` cases, the `split` tactic generates at most `n` subgoals.\n\nFor example, given `n : Nat`, and a target `if n = 0 then Q else R`, `split` will generate\none goal with hypothesis `n = 0` and target `Q`, and a second goal with hypothesis\n`¬n = 0` and target `R`. Note that the introduced hypothesis is unnamed, and is commonly\nrenamed used the `case` or `next` tactics.\n\n- `split` will split the goal (target).\n- `split at h` will split the hypothesis `h`.\n"},"Lean.Parser.Tactic.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L661-L669","name":"Lean.Parser.Tactic.specialize","line":661,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.specialize","doc":"The tactic `specialize h a₁ ... aₙ` works on local hypothesis `h`.\nThe premises of this hypothesis, either universal quantifications or\nnon-dependent implications, are instantiated by concrete terms coming\nfrom arguments `a₁` ... `aₙ`.\nThe tactic adds a new hypothesis with the same name `h := h a₁ ... aₙ`\nand tries to clear the previous one.\n"},"Lean.Parser.Tactic.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L720-L724","name":"Lean.Parser.Tactic.sleep","line":720,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.sleep","doc":"The tactic `sleep ms` sleeps for `ms` milliseconds and does nothing.\nIt is used for debugging purposes only.\n"},"Lean.Parser.Tactic.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L182-L183","name":"Lean.Parser.Tactic.skip","line":182,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.simpStar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L406-L407","name":"Lean.Parser.Tactic.simpStar","line":406,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpStar","doc":"The simp lemma specification `*` means to rewrite with all hypotheses "},"Lean.Parser.Tactic.simpPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L393-L394","name":"Lean.Parser.Tactic.simpPre","line":393,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPre","doc":"Use this rewrite rule before entering the subterms "},"Lean.Parser.Tactic.simpPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L395-L396","name":"Lean.Parser.Tactic.simpPost","line":395,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPost","doc":"Use this rewrite rule after entering the subterms "},"Lean.Parser.Tactic.simpLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L397-L403","name":"Lean.Parser.Tactic.simpLemma","line":397,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpLemma","doc":"A simp lemma specification is:\n* optional `↑` or `↓` to specify use before or after entering the subterm\n* optional `←` to use the lemma backward\n* `thm` for the theorem to rewrite with\n"},"Lean.Parser.Tactic.simpErase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L404-L405","name":"Lean.Parser.Tactic.simpErase","line":404,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpErase","doc":"An erasure specification `-thm` says to remove `thm` from the simp set "},"Lean.Parser.Tactic.simpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1324-L1327","name":"Lean.Parser.Tactic.simpAutoUnfold","line":1324,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAutoUnfold","doc":"`simp!` is shorthand for `simp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1333-L1336","name":"Lean.Parser.Tactic.simpArithAutoUnfold","line":1333,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArithAutoUnfold","doc":"`simp_arith!` is shorthand for `simp_arith` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1329-L1331","name":"Lean.Parser.Tactic.simpArith","line":1329,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArith","doc":"`simp_arith` is shorthand for `simp` with `arith := true`.\nThis enables the use of normalization by linear arithmetic. "},"Lean.Parser.Tactic.simpAllKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1301-L1301","name":"Lean.Parser.Tactic.simpAllKind","line":1301,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllKind","doc":""},"Lean.Parser.Tactic.simpAllAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1338-L1341","name":"Lean.Parser.Tactic.simpAllAutoUnfold","line":1338,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllAutoUnfold","doc":"`simp_all!` is shorthand for `simp_all` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpAllArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1346-L1347","name":"Lean.Parser.Tactic.simpAllArithAutoUnfold","line":1346,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArithAutoUnfold","doc":"`simp_all_arith!` combines the effects of `simp_all`, `simp_arith` and `simp!`. "},"Lean.Parser.Tactic.simpAllArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1343-L1344","name":"Lean.Parser.Tactic.simpAllArith","line":1343,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArith","doc":"`simp_all_arith` combines the effects of `simp_all` and `simp_arith`. "},"Lean.Parser.Tactic.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L430-L436","name":"Lean.Parser.Tactic.simpAll","line":430,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpAll","doc":"`simp_all` is a stronger version of `simp [*] at *` where the hypotheses and target\nare simplified multiple times until no simplication is applicable.\nOnly non-dependent propositional hypotheses are considered.\n"},"Lean.Parser.Tactic.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L408-L429","name":"Lean.Parser.Tactic.simp","line":408,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simp","doc":"The `simp` tactic uses lemmas and hypotheses to simplify the main goal target or\nnon-dependent hypotheses. It has many variants:\n- `simp` simplifies the main goal target using lemmas tagged with the attribute `[simp]`.\n- `simp [h₁, h₂, ..., hₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]` and the given `hᵢ`'s, where the `hᵢ`'s are expressions.\n If an `hᵢ` is a defined constant `f`, then the equational lemmas associated with\n `f` are used. This provides a convenient way to unfold `f`.\n- `simp [*]` simplifies the main goal target using the lemmas tagged with the\n attribute `[simp]` and all hypotheses.\n- `simp only [h₁, h₂, ..., hₙ]` is like `simp [h₁, h₂, ..., hₙ]` but does not use `[simp]` lemmas.\n- `simp [-id₁, ..., -idₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]`, but removes the ones named `idᵢ`.\n- `simp at h₁ h₂ ... hₙ` simplifies the hypotheses `h₁ : T₁` ... `hₙ : Tₙ`. If\n the target or another hypothesis depends on `hᵢ`, a new simplified hypothesis\n `hᵢ` is introduced, but the old one remains in the local context.\n- `simp at *` simplifies all the hypotheses and the target.\n- `simp [*] at *` simplifies target and all (propositional) hypotheses using the\n other hypotheses.\n"},"Lean.Parser.Tactic.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L321-L322","name":"Lean.Parser.Tactic.set_option","line":321,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.set_option","doc":"`set_option opt val in tacs` (the tactic) acts like `set_option opt val` at the command level,\nbut it sets the option only within the tactics `tacs`. "},"Lean.Parser.Tactic.seq1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L68-L69","name":"Lean.Parser.Tactic.seq1","line":68,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.seq1","doc":""},"Lean.Parser.Tactic.sepByIndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L38-L39","name":"Lean.Parser.Tactic.sepByIndentSemicolon","line":38,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepByIndentSemicolon","doc":""},"Lean.Parser.Tactic.sepBy1IndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L42-L43","name":"Lean.Parser.Tactic.sepBy1IndentSemicolon","line":42,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepBy1IndentSemicolon","doc":""},"Lean.Parser.Tactic.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L718-L718","name":"Lean.Parser.Tactic.save","line":718,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.save","doc":"`save` is defined to be the same as `skip`, but the elaborator has\nspecial handling for occurrences of `save` in tactic scripts and will transform\n`by tac1; save; tac2` to `by (checkpoint tac1); tac2`, meaning that the effect of `tac1`\nwill be cached and replayed. This is useful for improving responsiveness\nwhen working on a long tactic proof, by using `save` after expensive tactics.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.rwSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L359-L364","name":"Lean.Parser.Tactic.rwSeq","line":359,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwSeq","doc":"`rw` is like `rewrite`, but also tries to close the goal by \"cheap\" (reducible) `rfl` afterwards.\n"},"Lean.Parser.Tactic.rwRuleSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L341-L342","name":"Lean.Parser.Tactic.rwRuleSeq","line":341,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRuleSeq","doc":"A `rwRuleSeq` is a list of `rwRule` in brackets. "},"Lean.Parser.Tactic.rwRule":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L335-L340","name":"Lean.Parser.Tactic.rwRule","line":335,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRule","doc":"If `thm` is a theorem `a = b`, then as a rewrite rule,\n* `thm` means to replace `a` with `b`, and\n* `← thm` means to replace `b` with `a`.\n"},"Lean.Parser.Tactic.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L232-L236","name":"Lean.Parser.Tactic.rotateRight","line":232,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateRight","doc":"Rotate the goals to the right by `n`. That is, take the goal at the back\nand push it to the front `n` times. If `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L225-L230","name":"Lean.Parser.Tactic.rotateLeft","line":225,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateLeft","doc":"`rotate_left n` rotates goals to the left by `n`. That is, `rotate_left 1`\ntakes the main goal and puts it to the back of the subgoal list.\nIf `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rewriteSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L344-L354","name":"Lean.Parser.Tactic.rewriteSeq","line":344,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rewriteSeq","doc":"`rewrite [e]` applies identity `e` as a rewrite rule to the target of the main goal.\nIf `e` is preceded by left arrow (`←` or `<-`), the rewrite is applied in the reverse direction.\nIf `e` is a defined constant, then the equational theorems associated with `e` are used.\nThis provides a convenient way to unfold `e`.\n- `rewrite [e₁, ..., eₙ]` applies the given rules sequentially.\n- `rewrite [e] at l` rewrites `e` at location(s) `l`, where `l` is either `*` or a\n list of hypotheses in the local context. In the latter case, a turnstile `⊢` or `|-`\n can also be used, to signify the target of the goal.\n"},"Lean.Parser.Tactic.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L53-L57","name":"Lean.Parser.Tactic.revert","line":53,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.revert","doc":"`revert x...` is the inverse of `intro x...`: it moves the given hypotheses\ninto the main goal's target type.\n"},"Lean.Parser.Tactic.renameI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L606-L607","name":"Lean.Parser.Tactic.renameI","line":606,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.renameI","doc":"`rename_i x_1 ... x_n` renames the last `n` inaccessible names using the given names. "},"Lean.Parser.Tactic.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L47-L51","name":"Lean.Parser.Tactic.rename","line":47,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rename","doc":"`rename t => x` renames the most recent hypothesis whose type matches `t`\n(which may contain placeholders) to `x`, or fails if no such hypothesis could be found.\n"},"Lean.Parser.Tactic.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L252-L253","name":"Lean.Parser.Tactic.refl","line":252,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refl","doc":"`eq_refl` is equivalent to `exact rfl`, but has a few optimizations. "},"Lean.Parser.Tactic.refine'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L131-L135","name":"Lean.Parser.Tactic.refine'","line":131,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine'","doc":"`refine' e` behaves like `refine e`, except that unsolved placeholders (`_`)\nand implicit parameters are also converted into new goals.\n"},"Lean.Parser.Tactic.refine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L124-L129","name":"Lean.Parser.Tactic.refine","line":124,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine","doc":"`refine e` behaves like `exact e`, except that named (`?x`) or unnamed (`?_`)\nholes in `e` that are not solved by unification with the main goal's target type\nare converted into new goals, using the hole's name, if any, as the goal case name.\n"},"Lean.Parser.Tactic.quotSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L683-L684","name":"Lean.Parser.Tactic.quotSeq","line":683,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quotSeq","doc":""},"Lean.Parser.Tactic.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L681-L682","name":"Lean.Parser.Tactic.quot","line":681,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quot","doc":""},"Lean.Parser.Tactic.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L197-L202","name":"Lean.Parser.Tactic.paren","line":197,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.paren","doc":"`(tacs)` executes a list of tactics in sequence, without requiring that\nthe goal be closed at the end like `· tacs`. Like `by` itself, the tactics\ncan be either separated by newlines or `;`.\n"},"Lean.Parser.Tactic.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L316-L317","name":"Lean.Parser.Tactic.open","line":316,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.open","doc":"`open Foo in tacs` (the tactic) acts like `open Foo` at command level,\nbut it opens a namespace only within the tactics `tacs`. "},"Lean.Parser.Tactic.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L25-L25","name":"Lean.Parser.Tactic.nestedTactic","line":25,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nestedTactic","doc":""},"Lean.Parser.Tactic.nativeDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L92-L93","name":"Lean.Parser.Tactic.nativeDecide","line":92,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nativeDecide","doc":"`native_decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Unlike `decide`, this\nuses `#eval` to evaluate the decidability instance.\n\nThis should be used with care because it adds the entire lean compiler to the trusted\npart, and the axiom `ofReduceBool` will show up in `#print axioms` for theorems using\nthis method or anything that transitively depends on them. Nevertheless, because it is\ncompiled, this can be significantly more efficient than using `decide`, and for very\nlarge computations this is one way to run external programs and trust the result.\n```\nexample : (List.range 1000).length = 1000 := by native_decide\n```\n"},"Lean.Parser.Tactic.matchRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L27-L27","name":"Lean.Parser.Tactic.matchRhs","line":27,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchRhs","doc":""},"Lean.Parser.Tactic.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L28-L28","name":"Lean.Parser.Tactic.matchAlts","line":28,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchAlts","doc":""},"Lean.Parser.Tactic.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L43-L46","name":"Lean.Parser.Tactic.match","line":43,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.match","doc":"`match` performs case analysis on one or more expressions.\nSee [Induction and Recursion][tpil4].\nThe syntax for the `match` tactic is the same as term-mode `match`, except that\nthe match arms are tactics instead of expressions.\n```\nexample (n : Nat) : n = n := by\n match n with\n | 0 => rfl\n | i+1 => simp\n```\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/induction_and_recursion.html\n"},"Lean.Parser.Tactic.locationWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L300-L301","name":"Lean.Parser.Tactic.locationWildcard","line":300,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationWildcard","doc":"The `*` location refers to all hypotheses and the goal. "},"Lean.Parser.Tactic.locationHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L303-L307","name":"Lean.Parser.Tactic.locationHyp","line":303,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationHyp","doc":"A hypothesis location specification consists of 1 or more hypothesis references\nand optionally `⊢` denoting the goal.\n"},"Lean.Parser.Tactic.location":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L309-L318","name":"Lean.Parser.Tactic.location","line":309,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.location","doc":"Location specifications are used by many tactics that can operate on either the\nhypotheses or the goal. It can have one of the forms:\n* 'empty' is not actually present in this syntax, but most tactics use\n `(location)?` matchers. It means to target the goal only.\n* `at h₁ ... hₙ`: target the hypotheses `h₁`, ..., `hₙ`\n* `at h₁ h₂ ⊢`: target the hypotheses `h₁` and `h₂`, and the goal\n* `at *`: target all hypotheses and the goal\n"},"Lean.Parser.Tactic.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L503-L505","name":"Lean.Parser.Tactic.letrec","line":503,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.letrec","doc":"`let rec f : t := e` adds a recursive definition `f` to the current goal.\nThe syntax is the same as term-mode `let rec`. "},"Lean.Parser.Tactic.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L41-L45","name":"Lean.Parser.Tactic.intros","line":41,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intros","doc":"`intros x...` behaves like `intro x...`, but then keeps introducing (anonymous)\nhypotheses until goal is not of a function type.\n"},"Lean.Parser.Tactic.introMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L65-L66","name":"Lean.Parser.Tactic.introMatch","line":65,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.introMatch","doc":"The tactic\n```\nintro\n| pat1 => tac1\n| pat2 => tac2\n```\nis the same as:\n```\nintro x\nmatch x with\n| pat1 => tac1\n| pat2 => tac2\n```\nThat is, `intro` can be followed by match arms and it introduces the values while\ndoing a pattern match. This is equivalent to `fun` with match arms in term mode.\n"},"Lean.Parser.Tactic.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L18-L39","name":"Lean.Parser.Tactic.intro","line":18,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intro","doc":"Introduces one or more hypotheses, optionally naming and/or pattern-matching them.\nFor each hypothesis to be introduced, the remaining main goal's target type must\nbe a `let` or function type.\n\n* `intro` by itself introduces one anonymous hypothesis, which can be accessed\n by e.g. `assumption`.\n* `intro x y` introduces two hypotheses and names them. Individual hypotheses\n can be anonymized via `_`, or matched against a pattern:\n ```lean\n -- ... ⊢ α × β → ...\n intro (a, b)\n -- ..., a : α, b : β ⊢ ...\n ```\n* Alternatively, `intro` can be combined with pattern matching much like `fun`:\n ```lean\n intro\n | n + 1, 0 => tac\n | ...\n ```\n"},"Lean.Parser.Tactic.injections":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L381-L385","name":"Lean.Parser.Tactic.injections","line":381,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injections","doc":"`injections` applies `injection` to all hypotheses recursively\n(since `injection` can produce new hypotheses). Useful for destructing nested\nconstructor equalities like `(a::b::c) = (d::e::f)`. "},"Lean.Parser.Tactic.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L366-L379","name":"Lean.Parser.Tactic.injection","line":366,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injection","doc":"The `injection` tactic is based on the fact that constructors of inductive data\ntypes are injections.\nThat means that if `c` is a constructor of an inductive datatype, and if `(c t₁)`\nand `(c t₂)` are two terms that are equal then `t₁` and `t₂` are equal too.\nIf `q` is a proof of a statement of conclusion `t₁ = t₂`, then injection applies\ninjectivity to derive the equality of all arguments of `t₁` and `t₂` placed in\nthe same positions. For example, from `(a::b) = (c::d)` we derive `a=c` and `b=d`.\nTo use this tactic `t₁` and `t₂` should be constructor applications of the same constructor.\nGiven `h : a::b = c::d`, the tactic `injection h` adds two new hypothesis with types\n`a = c` and `b = d` to the main goal.\nThe tactic `injection h with h₁ h₂` uses the names `h₁` and `h₂` to name the new hypotheses.\n"},"Lean.Parser.Tactic.inductionAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L529-L533","name":"Lean.Parser.Tactic.inductionAlts","line":529,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlts","doc":"After `with`, there is an optional tactic that runs on all branches, and\nthen a list of alternatives.\n"},"Lean.Parser.Tactic.inductionAltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L518-L523","name":"Lean.Parser.Tactic.inductionAltLHS","line":518,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAltLHS","doc":"The left hand side of an induction arm, `| foo a b c` or `| @foo a b c`\nwhere `foo` is a constructor of the inductive type and `a b c` are the arguments\nto the contstructor.\n"},"Lean.Parser.Tactic.inductionAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L524-L528","name":"Lean.Parser.Tactic.inductionAlt","line":524,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlt","doc":"In induction alternative, which can have 1 or more cases on the left\nand `_`, `?_`, or a tactic sequence after the `=>`.\n"},"Lean.Parser.Tactic.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L535-L562","name":"Lean.Parser.Tactic.induction","line":535,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.induction","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`induction x` applies induction on `x` to the main goal,\nproducing one goal for each constructor of the inductive type,\nin which the target is replaced by a general instance of that constructor\nand an inductive hypothesis is added for each recursive argument to the constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the inductive hypothesis incorporates that hypothesis as well.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`induction n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypotheses `h : P (Nat.succ a)` and `ih₁ : P a → Q a` and target `Q (Nat.succ a)`.\nHere the names `a` and `ih₁` are chosen automatically and are not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `induction e`, where `e` is an expression instead of a variable,\n generalizes `e` in the goal, and then performs induction on the resulting variable.\n- `induction e using r` allows the user to specify the principle of induction that should be used.\n Here `r` should be a theorem whose result type must be of the form `C t`,\n where `C` is a bound variable and `t` is a (possibly empty) sequence of bound variables\n- `induction e generalizing z₁ ... zₙ`, where `z₁ ... zₙ` are variables in the local context,\n generalizes over `z₁ ... zₙ` before applying the induction but then introduces them in each goal.\n In other words, the net effect is that each inductive hypothesis is generalized.\n- Given `x : Nat`, `induction x with | zero => tac₁ | succ x' ih => tac₂`\n uses tactic `tac₁` for the `zero` case, and `tac₂` for the `succ` case.\n"},"Lean.Parser.Tactic.generalizeArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L564-L565","name":"Lean.Parser.Tactic.generalizeArg","line":564,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalizeArg","doc":"A `generalize` argument, of the form `term = x` or `h : term = x`. "},"Lean.Parser.Tactic.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L567-L574","name":"Lean.Parser.Tactic.generalize","line":567,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalize","doc":"* `generalize ([h :] e = x),+` replaces all occurrences `e`s in the main goal\n with a fresh hypothesis `x`s. If `h` is given, `h : e = x` is introduced as well.\n* `generalize e = x at h₁ ... hₙ` also generalizes occurrences of `e`\n inside `h₁`, ..., `hₙ`.\n* `generalize e = x at *` will generalize occurrences of `e` everywhere.\n"},"Lean.Parser.Tactic.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L176-L180","name":"Lean.Parser.Tactic.focus","line":176,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L222-L223","name":"Lean.Parser.Tactic.first","line":222,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.first","doc":"`first | tac | ...` runs each `tac` until one succeeds, or else fails. "},"Lean.Parser.Tactic.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L194-L195","name":"Lean.Parser.Tactic.failIfSuccess","line":194,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L692-L693","name":"Lean.Parser.Tactic.fail","line":692,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.fail","doc":"`fail msg` is a tactic that always fails, and produces an error using the given message. "},"Lean.Parser.Tactic.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L119-L122","name":"Lean.Parser.Tactic.exact","line":119,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.exact","doc":"`exact e` closes the main goal if its target type matches that of `e`.\n"},"Lean.Parser.Tactic.dsimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1302-L1302","name":"Lean.Parser.Tactic.dsimpKind","line":1302,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpKind","doc":""},"Lean.Parser.Tactic.dsimpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1349-L1352","name":"Lean.Parser.Tactic.dsimpAutoUnfold","line":1349,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpAutoUnfold","doc":"`dsimp!` is shorthand for `dsimp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L438-L444","name":"Lean.Parser.Tactic.dsimp","line":438,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dsimp","doc":"The `dsimp` tactic is the definitional simplifier. It is similar to `simp` but only\napplies theorems that hold by reflexivity. Thus, the result is guaranteed to be\ndefinitionally equal to the input.\n"},"Lean.Parser.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L185-L186","name":"Lean.Parser.Tactic.done","line":185,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.done","doc":"`done` succeeds iff there are no remaining goals. "},"Lean.Parser.Tactic.discharger":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L387-L391","name":"Lean.Parser.Tactic.discharger","line":387,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.discharger","doc":"The discharger clause of `simp` and related tactics.\nThis is a tactic used to discharge the side conditions on conditional rewrite rules.\n"},"Lean.Parser.Tactic.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L446-L451","name":"Lean.Parser.Tactic.delta","line":446,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.delta","doc":"`delta id1 id2 ...` delta-expands the definitions `id1`, `id2`, ....\nThis is a low-level tactic, it will expose how recursive definitions have been\ncompiled by Lean.\n"},"Lean.Parser.Tactic.declareSimpLikeTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1304-L1322","name":"Lean.Parser.Tactic.declareSimpLikeTactic","line":1304,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.declareSimpLikeTactic","doc":""},"Lean.Parser.Tactic.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L76-L77","name":"Lean.Parser.Tactic.decide","line":76,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.decide","doc":"`decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Because this uses kernel\ncomputation to evaluate the term, it may not work in the presence of definitions\nby well founded recursion, since this requires reducing proofs.\n```\nexample : 2 + 2 ≠ 5 := by decide\n```\n"},"Lean.Parser.Tactic.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L642-L651","name":"Lean.Parser.Tactic.dbgTrace","line":642,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dbgTrace","doc":"`dbg_trace \"foo\"` prints `foo` when elaborated.\nUseful for debugging tactic control flow:\n```\nexample : False ∨ True := by\n first\n | apply Or.inl; trivial; dbg_trace \"left\"\n | apply Or.inr; trivial; dbg_trace \"right\"\n```\n"},"Lean.Parser.Tactic.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L83-L106","name":"Lean.Parser.Tactic.contradiction","line":83,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.contradiction","doc":"`contradiction` closes the main goal if its hypotheses are \"trivially contradictory\".\n- Inductive type/family with no applicable constructors\n```lean\nexample (h : False) : p := by contradiction\n```\n- Injectivity of constructors\n```lean\nexample (h : none = some true) : p := by contradiction --\n```\n- Decidable false proposition\n```lean\nexample (h : 2 + 2 = 3) : p := by contradiction\n```\n- Contradictory hypotheses\n```lean\nexample (h : p) (h' : ¬ p) : q := by contradiction\n```\n- Other simple contradictions such as\n```lean\nexample (x : Nat) (h : x ≠ x) : p := by contradiction\n```\n"},"Lean.Parser.Tactic.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L137-L141","name":"Lean.Parser.Tactic.constructor","line":137,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.constructor","doc":"If the main goal's target type is an inductive type, `constructor` solves it with\nthe first matching constructor, or else fails.\n"},"Lean.Parser.Tactic.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L733-L741","name":"Lean.Parser.Tactic.congr","line":733,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.congr","doc":"Apply congruence (recursively) to goals of the form `⊢ f as = f bs` and `⊢ HEq (f as) (f bs)`.\nThe optional parameter is the depth of the recursive applications.\nThis is useful when `congr` is too aggressive in breaking down the goal.\nFor example, given `⊢ f (g (x + y)) = f (g (y + x))`,\n`congr` produces the goals `⊢ x = y` and `⊢ y = x`,\nwhile `congr 2` produces the intended `⊢ x + y = y + x`.\n"},"Lean.Parser.Tactic.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L297-L298","name":"Lean.Parser.Tactic.config","line":297,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.config","doc":"Optional configuration option for tactics "},"Lean.Parser.Tactic.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L59-L63","name":"Lean.Parser.Tactic.clear","line":59,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.clear","doc":"`clear x...` removes the given hypotheses, or fails if there are remaining\nreferences to a hypothesis.\n"},"Lean.Parser.Tactic.checkpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L695-L706","name":"Lean.Parser.Tactic.checkpoint","line":695,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.checkpoint","doc":"`checkpoint tac` acts the same as `tac`, but it caches the input and output of `tac`,\nand if the file is re-elaborated and the input matches, the tactic is not re-run and\nits effects are reapplied to the state. This is useful for improving responsiveness\nwhen working on a long tactic proof, by wrapping expensive tactics with `checkpoint`.\n\nSee the `save` tactic, which may be more convenient to use.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.changeWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L328-L333","name":"Lean.Parser.Tactic.changeWith","line":328,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.changeWith","doc":"* `change a with b` will change occurrences of `a` to `b` in the goal,\n assuming `a` and `b` are are definitionally equal.\n* `change a with b at h` similarly changes `a` to `b` in the type of hypothesis `h`.\n"},"Lean.Parser.Tactic.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L320-L326","name":"Lean.Parser.Tactic.change","line":320,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.change","doc":"* `change tgt'` will change the goal from `tgt` to `tgt'`,\n assuming these are definitionally equal.\n* `change t' at h` will change hypothesis `h : t` to have type `t'`, assuming\n assuming `t` and `t'` are definitionally equal.\n"},"Lean.Parser.Tactic.casesTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L576-L580","name":"Lean.Parser.Tactic.casesTarget","line":576,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.casesTarget","doc":"A `cases` argument, of the form `e` or `h : e` (where `h` asserts that\n`e = cᵢ a b` for each constructor `cᵢ` of the inductive).\n"},"Lean.Parser.Tactic.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L581-L604","name":"Lean.Parser.Tactic.cases","line":581,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.cases","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`cases x` splits the main goal, producing one goal for each constructor of the\ninductive type, in which the target is replaced by a general instance of that constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the case split affects that hypothesis as well.\n`cases` detects unreachable cases and closes them automatically.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`cases n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypothesis `h : P (Nat.succ a)` and target `Q (Nat.succ a)`.\nHere the name `a` is chosen automatically and is not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `cases e`, where `e` is an expression instead of a variable, generalizes `e` in the goal,\n and then cases on the resulting variable.\n- Given `as : List α`, `cases as with | nil => tac₁ | cons a as' => tac₂`,\n uses tactic `tac₁` for the `nil` case, and `tac₂` for the `cons` case,\n and `a` and `as'` are used as names for the new variables introduced.\n- `cases h : e`, where `e` is a variable or an expression,\n performs cases on `e` as above, but also adds a hypothesis `h : e = ...` to each hypothesis,\n where `...` is the constructor instance for that particular case.\n"},"Lean.Parser.Tactic.caseArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L362-L366","name":"Lean.Parser.Tactic.caseArg","line":362,"kind":"def","docLink":"./Init/Notation.html#Lean.Parser.Tactic.caseArg","doc":"A case tag argument has the form `tag x₁ ... xₙ`; it refers to tag `tag` and renames\nthe last `n` hypotheses to `x₁ ... xₙ`.\n"},"Lean.Parser.Tactic.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L152-L158","name":"Lean.Parser.Tactic.case'","line":152,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L143-L150","name":"Lean.Parser.Tactic.case","line":143,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L77-L81","name":"Lean.Parser.Tactic.assumption","line":77,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.assumption","doc":"`assumption` tries to solve the main goal using a hypothesis of compatible type, or else fails.\nNote also the `‹t›` term notation, which is a shorthand for `show t by assumption`.\n"},"Lean.Parser.Tactic.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L108-L117","name":"Lean.Parser.Tactic.apply","line":108,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.apply","doc":"`apply e` tries to match the current goal against the conclusion of `e`'s type.\nIf it succeeds, then the tactic returns as many subgoals as the number of premises that\nhave not been fixed by type inference or type class resolution.\nNon-dependent premises are added before dependent ones.\n\nThe `apply` tactic uses higher-order pattern matching, type class resolution,\nand first-order unification with dependent types.\n"},"Lean.Parser.Tactic.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L170-L174","name":"Lean.Parser.Tactic.anyGoals","line":170,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L167-L168","name":"Lean.Parser.Tactic.allGoals","line":167,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. "},"Lean.Parser.Tactic.acRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L268-L277","name":"Lean.Parser.Tactic.acRfl","line":268,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.acRfl","doc":"`ac_rfl` proves equalities up to application of an associative and commutative operator.\n```\ninstance : IsAssociative (α := Nat) (.+.) := ⟨Nat.add_assoc⟩\ninstance : IsCommutative (α := Nat) (.+.) := ⟨Nat.add_comm⟩\n\nexample (a b c d : Nat) : a + b + c + d = d + (b + c) + a := by ac_rfl\n```\n"},"Lean.Parser.Tactic.Conv.«conv·._»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L230-L230","name":"Lean.Parser.Tactic.Conv.«conv·._»","line":230,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv·._»","doc":"`· conv` focuses on the main conv goal and tries to solve it using `s`. "},"Lean.Parser.Tactic.Conv.«conv_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L283-L284","name":"Lean.Parser.Tactic.Conv.«conv_<;>_»","line":283,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv_<;>_»","doc":""},"Lean.Parser.Tactic.Conv.«convNext__=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L217-L217","name":"Lean.Parser.Tactic.Conv.«convNext__=>_»","line":217,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convNext__=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.Conv.«convEnter[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L257-L264","name":"Lean.Parser.Tactic.Conv.«convEnter[_]»","line":257,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convEnter[_]»","doc":"`enter [arg, ...]` is a compact way to describe a path to a subterm.\nIt is a shorthand for other conv tactics as follows:\n* `enter [i]` is equivalent to `arg i`.\n* `enter [@i]` is equivalent to `arg @i`.\n* `enter [x]` (where `x` is an identifier) is equivalent to `ext x`.\nFor example, given the target `f (g a (fun x => x b))`, `enter [1, 2, x, 1]`\nwill traverse to the subterm `b`. "},"Lean.Parser.Tactic.Conv.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L62-L63","name":"Lean.Parser.Tactic.Conv.zeta","line":62,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.zeta","doc":"Expands let-declarations and let-variables. "},"Lean.Parser.Tactic.Conv.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L38-L43","name":"Lean.Parser.Tactic.Conv.withAnnotateState","line":38,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.Conv.whnf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L57-L60","name":"Lean.Parser.Tactic.Conv.whnf","line":57,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.whnf","doc":"Reduces the target to Weak Head Normal Form. This reduces definitions\nin \"head position\" until a constructor is exposed. For example, `List.map f [a, b, c]`\nweak head normalizes to `f a :: List.map f [b, c]`. "},"Lean.Parser.Tactic.Conv.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L94-L100","name":"Lean.Parser.Tactic.Conv.unfold","line":94,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.unfold","doc":"* `unfold foo` unfolds all occurrences of `foo` in the target.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\nLike the `unfold` tactic, this uses equational lemmas for the chosen definition\nto rewrite the target. For recursive definitions,\nonly one layer of unfolding is performed. "},"Lean.Parser.Tactic.Conv.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L46-L47","name":"Lean.Parser.Tactic.Conv.skip","line":46,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.Conv.simpMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L145-L152","name":"Lean.Parser.Tactic.Conv.simpMatch","line":145,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simpMatch","doc":"`simp_match` simplifies match expressions. For example,\n```\nmatch [a, b] with\n| [] => 0\n| hd :: tl => hd\n```\nsimplifies to `a`. "},"Lean.Parser.Tactic.Conv.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L123-L126","name":"Lean.Parser.Tactic.Conv.simp","line":123,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simp","doc":"`simp [thm]` performs simplification using `thm` and marked `@[simp]` lemmas.\nSee the `simp` tactic for more information. "},"Lean.Parser.Tactic.Conv.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L53-L55","name":"Lean.Parser.Tactic.Conv.rhs","line":53,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rhs","doc":"Traverses into the right subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the last argument.) "},"Lean.Parser.Tactic.Conv.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L120-L121","name":"Lean.Parser.Tactic.Conv.rewrite","line":120,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rewrite","doc":"`rw [thm]` rewrites the target using `thm`. See the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L65-L66","name":"Lean.Parser.Tactic.Conv.reduce","line":65,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.reduce","doc":"Puts term in normal form, this tactic is meant for debugging purposes only. "},"Lean.Parser.Tactic.Conv.pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L102-L118","name":"Lean.Parser.Tactic.Conv.pattern","line":102,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.pattern","doc":"* `pattern pat` traverses to the first subterm of the target that matches `pat`.\n* `pattern (occs := *) pat` traverses to every subterm of the target that matches `pat`\n which is not contained in another match of `pat`. It generates one subgoal for each matching\n subterm.\n* `pattern (occs := 1 2 4) pat` matches occurrences `1, 2, 4` of `pat` and produces three subgoals.\n Occurrences are numbered left to right from the outside in.\n\nNote that skipping an occurrence of `pat` will traverse inside that subexpression, which means\nit may find more matches and this can affect the numbering of subsequent pattern matches.\nFor example, if we are searching for `f _` in `f (f a) = f b`:\n* `occs := 1 2` (and `occs := *`) returns `| f (f a)` and `| f b`\n* `occs := 2` returns `| f a`\n* `occs := 2 3` returns `| f a` and `| f b`\n* `occs := 1 3` is an error, because after skipping `f b` there is no third match.\n"},"Lean.Parser.Tactic.Conv.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L168-L170","name":"Lean.Parser.Tactic.Conv.paren","line":168,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.paren","doc":"`(convs)` runs the `convs` in sequence on the current list of targets.\nThis is pure grouping with no added effects. "},"Lean.Parser.Tactic.Conv.occsWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L26-L27","name":"Lean.Parser.Tactic.Conv.occsWildcard","line":26,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsWildcard","doc":"The `*` occurrence list means to apply to all occurrences of the pattern. "},"Lean.Parser.Tactic.Conv.occsIndexed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L29-L33","name":"Lean.Parser.Tactic.Conv.occsIndexed","line":29,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsIndexed","doc":"A list `1 2 4` of occurrences means to apply to the first, second, and fourth\noccurrence of the pattern.\n"},"Lean.Parser.Tactic.Conv.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L35-L36","name":"Lean.Parser.Tactic.Conv.occs","line":35,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occs","doc":"An occurrence specification, either `*` or a list of numbers. The default is `[1]`. "},"Lean.Parser.Tactic.Conv.nestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L155-L156","name":"Lean.Parser.Tactic.Conv.nestedTacticCore","line":155,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTacticCore","doc":"Executes the given tactic block without converting `conv` goal into a regular goal. "},"Lean.Parser.Tactic.Conv.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L158-L159","name":"Lean.Parser.Tactic.Conv.nestedTactic","line":158,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTactic","doc":"Focuses, converts the `conv` goal `⊢ lhs` into a regular goal `⊢ lhs = rhs`, and then executes the given tactic block. "},"Lean.Parser.Tactic.Conv.nestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L164-L166","name":"Lean.Parser.Tactic.Conv.nestedConv","line":164,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedConv","doc":"`{ convs }` runs the list of `convs` on the current target, and any subgoals that\nremain are trivially closed by `skip`. "},"Lean.Parser.Tactic.Conv.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L49-L51","name":"Lean.Parser.Tactic.Conv.lhs","line":49,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.lhs","doc":"Traverses into the left subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the second to last argument.) "},"Lean.Parser.Tactic.Conv.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L223-L223","name":"Lean.Parser.Tactic.Conv.focus","line":223,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.Conv.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L277-L278","name":"Lean.Parser.Tactic.Conv.first","line":277,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.first","doc":"`first | conv | ...` runs each `conv` until one succeeds, or else fails. "},"Lean.Parser.Tactic.Conv.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L234-L235","name":"Lean.Parser.Tactic.Conv.failIfSuccess","line":234,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.Conv.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L80-L82","name":"Lean.Parser.Tactic.Conv.ext","line":80,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.ext","doc":"`ext x` traverses into a binder (a `fun x => e` or `∀ x, e` expression)\nto target `e`, introducing name `x` in the process. "},"Lean.Parser.Tactic.Conv.enterArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L255-L255","name":"Lean.Parser.Tactic.Conv.enterArg","line":255,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.enterArg","doc":""},"Lean.Parser.Tactic.Conv.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L128-L143","name":"Lean.Parser.Tactic.Conv.dsimp","line":128,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.dsimp","doc":"`dsimp` is the definitional simplifier in `conv`-mode. It differs from `simp` in that it only\napplies theorems that hold by reflexivity.\n\nExamples:\n\n```lean\nexample (a : Nat): (0 + 0) = a - a := by\n conv =>\n lhs\n dsimp\n rw [← Nat.sub_self a]\n```\n"},"Lean.Parser.Tactic.Conv.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L88-L92","name":"Lean.Parser.Tactic.Conv.delta","line":88,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.delta","doc":"`delta id1 id2 ...` unfolds all occurrences of `id1`, `id2`, ... in the target.\nLike the `delta` tactic, this ignores any definitional equations and uses\nprimitive delta-reduction instead, which may result in leaking implementation details.\nUsers should prefer `unfold` for unfolding definitions. "},"Lean.Parser.Tactic.Conv.convTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L281-L281","name":"Lean.Parser.Tactic.Conv.convTry_","line":281,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.Conv.convTrace_state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L180-L180","name":"Lean.Parser.Tactic.Conv.convTrace_state","line":180,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTrace_state","doc":"`trace_state` prints the current goal state. "},"Lean.Parser.Tactic.Conv.convTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L161-L162","name":"Lean.Parser.Tactic.Conv.convTactic","line":161,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTactic","doc":"Executes the given conv block without converting regular goal into a `conv` goal. "},"Lean.Parser.Tactic.Conv.convSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L21-L21","name":"Lean.Parser.Tactic.Conv.convSeqBracketed","line":21,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeqBracketed","doc":""},"Lean.Parser.Tactic.Conv.convSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L20-L20","name":"Lean.Parser.Tactic.Conv.convSeq1Indented","line":20,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq1Indented","doc":""},"Lean.Parser.Tactic.Conv.convSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L24-L24","name":"Lean.Parser.Tactic.Conv.convSeq","line":24,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq","doc":""},"Lean.Parser.Tactic.Conv.convRw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L239-L239","name":"Lean.Parser.Tactic.Conv.convRw__","line":239,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRw__","doc":"`rw [rules]` applies the given list of rewrite rules to the target.\nSee the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.convRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L251-L251","name":"Lean.Parser.Tactic.Conv.convRight","line":251,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRight","doc":"`right` traverses into the right argument. Synonym for `rhs`. "},"Lean.Parser.Tactic.Conv.convRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L174-L174","name":"Lean.Parser.Tactic.Conv.convRfl","line":174,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRfl","doc":"`rfl` closes one conv goal \"trivially\", by using reflexivity\n(that is, no rewriting). "},"Lean.Parser.Tactic.Conv.convRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L286-L287","name":"Lean.Parser.Tactic.Conv.convRepeat_","line":286,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRepeat_","doc":"`repeat convs` runs the sequence `convs` repeatedly until it fails to apply. "},"Lean.Parser.Tactic.Conv.convLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L249-L249","name":"Lean.Parser.Tactic.Conv.convLeft","line":249,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convLeft","doc":"`left` traverses into the left argument. Synonym for `lhs`. "},"Lean.Parser.Tactic.Conv.convIntro___":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L253-L253","name":"Lean.Parser.Tactic.Conv.convIntro___","line":253,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convIntro___","doc":"`intro` traverses into binders. Synonym for `ext`. "},"Lean.Parser.Tactic.Conv.convErw_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L244-L244","name":"Lean.Parser.Tactic.Conv.convErw_","line":244,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convErw_","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.Conv.convDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L177-L177","name":"Lean.Parser.Tactic.Conv.convDone","line":177,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convDone","doc":"`done` succeeds iff there are no goals remaining. "},"Lean.Parser.Tactic.Conv.convConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L225-L227","name":"Lean.Parser.Tactic.Conv.convConvSeq","line":225,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convConvSeq","doc":"`conv => cs` runs `cs` in sequence on the target `t`,\nresulting in `t'`, which becomes the new target subgoal. "},"Lean.Parser.Tactic.Conv.convArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L247-L247","name":"Lean.Parser.Tactic.Conv.convArgs","line":247,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convArgs","doc":"`args` traverses into all arguments. Synonym for `congr`. "},"Lean.Parser.Tactic.Conv.convApply_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L275-L275","name":"Lean.Parser.Tactic.Conv.convApply_","line":275,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convApply_","doc":"The `apply thm` conv tactic is the same as `apply thm` the tactic.\nThere are no restrictions on `thm`, but strange results may occur if `thm`\ncannot be reasonably interpreted as proving one equality from a list of others. "},"Lean.Parser.Tactic.Conv.conv.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L13-L18","name":"Lean.Parser.Tactic.Conv.conv.quot","line":13,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv.quot","doc":""},"Lean.Parser.Tactic.Conv.conv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L291-L304","name":"Lean.Parser.Tactic.Conv.conv","line":291,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv","doc":"`conv => ...` allows the user to perform targeted rewriting on a goal or hypothesis,\nby focusing on particular subexpressions.\n\nSee for more details.\n\nBasic forms:\n* `conv => cs` will rewrite the goal with conv tactics `cs`.\n* `conv at h => cs` will rewrite hypothesis `h`.\n* `conv in pat => cs` will rewrite the first subexpression matching `pat` (see `pattern`).\n"},"Lean.Parser.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L68-L71","name":"Lean.Parser.Tactic.Conv.congr","line":68,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.congr","doc":"Performs one step of \"congruence\", which takes a term and produces\nsubgoals for all the function arguments. For example, if the target is `f x y` then\n`congr` produces two subgoals, one for `x` and one for `y`. "},"Lean.Parser.Tactic.Conv.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L84-L86","name":"Lean.Parser.Tactic.Conv.change","line":84,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.change","doc":"`change t'` replaces the target `t` with `t'`,\nassuming `t` and `t'` are definitionally equal. "},"Lean.Parser.Tactic.Conv.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L209-L210","name":"Lean.Parser.Tactic.Conv.case'","line":209,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.Conv.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L200-L201","name":"Lean.Parser.Tactic.Conv.case","line":200,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.Conv.arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L73-L78","name":"Lean.Parser.Tactic.Conv.arg","line":73,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.arg","doc":"* `arg i` traverses into the `i`'th argument of the target. For example if the\n target is `f a b c d` then `arg 1` traverses to `a` and `arg 3` traverses to `c`.\n* `arg @i` is the same as `arg i` but it counts all arguments instead of just the\n explicit arguments. "},"Lean.Parser.Tactic.Conv.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L190-L191","name":"Lean.Parser.Tactic.Conv.anyGoals","line":190,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.Conv.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L183-L184","name":"Lean.Parser.Tactic.Conv.allGoals","line":183,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. 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Hence a simp theorem should have the\nproperty that its right-hand side is \"simpler\" than its left-hand side.\nIn particular, `=` and `↔` should not be viewed as symmetric operators in this situation.\nThe following would be a terrible simp theorem (if it were even allowed):\n```lean\n@[simp] lemma mul_right_inv_bad (a : G) : 1 = a * a⁻¹ := ...\n```\nReplacing 1 with a * a⁻¹ is not a sensible default direction to travel.\nEven worse would be a theorem that causes expressions to grow without bound,\ncausing simp to loop forever.\n\nBy default the simplifier applies `simp` theorems to an expression `e`\nafter its sub-expressions have been simplified.\nWe say it performs a bottom-up simplification.\nYou can instruct the simplifier to apply a theorem before its sub-expressions\nhave been simplified by using the modifier `↓`. Here is an example\n```lean\n@[simp↓] theorem not_and_eq (p q : Prop) : (¬ (p ∧ q)) = (¬p ∨ ¬q) :=\n```\n\nWhen multiple simp theorems are applicable, the simplifier uses the one with highest priority.\nIf there are several with the same priority, it is uses the \"most recent one\". Example:\n```lean\n@[simp high] theorem cond_true (a b : α) : cond true a b = a := rfl\n@[simp low+1] theorem or_true (p : Prop) : (p ∨ True) = True :=\n propext <| Iff.intro (fun _ => trivial) (fun _ => Or.inr trivial)\n@[simp 100] theorem ite_self {d : Decidable c} (a : α) : ite c a a = a := by\n cases d <;> 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string name. The name `Lean.Meta.run` is represented at\n```lean\n.str (.str (.str .anonymous \"Lean\") \"Meta\") \"run\"\n```\n"},"Lean.Name.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L94-L97","name":"Lean.Name.sizeOf","line":94,"kind":"def","docLink":"./Init/SizeOf.html#Lean.Name.sizeOf","doc":"We manually define the `Lean.Name` instance because we use\nan opaque function for computing the hashcode field.\n"},"Lean.Name.simpMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4172-L4175","name":"Lean.Name.simpMacroScopes","line":4172,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.simpMacroScopes","doc":"Helper function we use to create binder names that do not need to be unique. "},"Lean.Name.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L148-L156","name":"Lean.Name.reprPrec","line":148,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.reprPrec","doc":""},"Lean.Name.replacePrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L165-L169","name":"Lean.Name.replacePrefix","line":165,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.replacePrefix","doc":""},"Lean.Name.quickLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L96-L97","name":"Lean.Name.quickLt","line":96,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickLt","doc":""},"Lean.Name.quickCmpAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L76-L89","name":"Lean.Name.quickCmpAux","line":76,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmpAux","doc":""},"Lean.Name.quickCmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L91-L94","name":"Lean.Name.quickCmp","line":91,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmp","doc":""},"Lean.Name.num.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L106-L107","name":"Lean.Name.num.sizeOf_spec","line":106,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.num.sizeOf_spec","doc":""},"Lean.Name.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3416-L3423","name":"Lean.Name.num","line":3416,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.num","doc":"A numerical name. This kind of name is used, for example, to create hierarchical names for\nfree variables and metavariables. The identifier `_uniq.231` is represented as\n```lean\n.num (.str .anonymous \"_uniq\") 231\n```\n"},"Lean.Name.modifyBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L181-L186","name":"Lean.Name.modifyBase","line":181,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.modifyBase","doc":"Remove macros scopes, apply `f`, and put them back "},"Lean.Name.mkStr8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3489-L3490","name":"Lean.Name.mkStr8","line":3489,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr8","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇.s₈` "},"Lean.Name.mkStr7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3485-L3486","name":"Lean.Name.mkStr7","line":3485,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr7","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇` "},"Lean.Name.mkStr6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3481-L3482","name":"Lean.Name.mkStr6","line":3481,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr6","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆` "},"Lean.Name.mkStr5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3477-L3478","name":"Lean.Name.mkStr5","line":3477,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr5","doc":"Make name `s₁.s₂.s₃.s₄.s₅` "},"Lean.Name.mkStr4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3473-L3474","name":"Lean.Name.mkStr4","line":3473,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr4","doc":"Make name `s₁.s₂.s₃.s₄` "},"Lean.Name.mkStr3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3469-L3470","name":"Lean.Name.mkStr3","line":3469,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr3","doc":"Make name `s₁.s₂.s₃` "},"Lean.Name.mkStr2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3465-L3466","name":"Lean.Name.mkStr2","line":3465,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr2","doc":"Make name `s₁.s₂` "},"Lean.Name.mkStr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3461-L3462","name":"Lean.Name.mkStr1","line":3461,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr1","doc":"Make name `s₁` "},"Lean.Name.mkStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3444-L3445","name":"Lean.Name.mkStr","line":3444,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr","doc":"`.str p s` is now the preferred form.\n"},"Lean.Name.mkSimple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3457-L3458","name":"Lean.Name.mkSimple","line":3457,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkSimple","doc":"Short for `.str .anonymous s`.\n"},"Lean.Name.mkNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3451-L3452","name":"Lean.Name.mkNum","line":3451,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkNum","doc":"`.num p v` is now the preferred form.\n"},"Lean.Name.mangle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/NameMangling.lean#L59-L60","name":"Lean.Name.mangle","line":59,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.Name.mangle","doc":""},"Lean.Name.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L73-L74","name":"Lean.Name.lt","line":73,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.lt","doc":""},"Lean.Name.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L52-L56","name":"Lean.Name.isSuffixOf","line":52,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isSuffixOf","doc":""},"Lean.Name.isStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L127-L129","name":"Lean.Name.isStr","line":127,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isStr","doc":""},"Lean.Name.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L46-L49","name":"Lean.Name.isPrefixOf","line":46,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isPrefixOf","doc":""},"Lean.Name.isNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L131-L133","name":"Lean.Name.isNum","line":131,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isNum","doc":""},"Lean.Name.isInternal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L101-L104","name":"Lean.Name.isInternal","line":101,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isInternal","doc":"The frontend does not allow user declarations to start with `_` in any of its parts.\nWe use name parts starting with `_` internally to create auxiliary names (e.g., `_private`). "},"Lean.Name.isInaccessibleUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L108-L111","name":"Lean.Name.isInaccessibleUserName","line":108,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.isInaccessibleUserName","doc":""},"Lean.Name.isImplementationDetail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L111-L115","name":"Lean.Name.isImplementationDetail","line":111,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isImplementationDetail","doc":"Checks whether the name is an implementation-detail hypothesis name.\n\nImplementation-detail hypothesis names start with a double underscore.\n"},"Lean.Name.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L117-L121","name":"Lean.Name.isAtomic","line":117,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAtomic","doc":""},"Lean.Name.isAnonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L123-L125","name":"Lean.Name.isAnonymous","line":123,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAnonymous","doc":""},"Lean.Name.instToStringName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L140-L141","name":"Lean.Name.instToStringName","line":140,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instToStringName","doc":""},"Lean.Name.instReprName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L158-L159","name":"Lean.Name.instReprName","line":158,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instReprName","doc":""},"Lean.Name.instLawfulBEqNameInstBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L211-L213","name":"Lean.Name.instLawfulBEqNameInstBEqName","line":211,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instLawfulBEqNameInstBEqName","doc":""},"Lean.Name.instDecidableEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L215-L216","name":"Lean.Name.instDecidableEqName","line":215,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instDecidableEqName","doc":""},"Lean.Name.instBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3500-L3501","name":"Lean.Name.instBEqName","line":3500,"kind":"instance","docLink":"./Init/Prelude.html#Lean.Name.instBEqName","doc":""},"Lean.Name.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L12-L13","name":"Lean.Name.hashEx","line":12,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.hashEx","doc":""},"Lean.Name.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3390-L3430","name":"Lean.Name.hash","line":3390,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hash","doc":"A hash function for names, which is stored inside the name itself as a\ncomputed field. "},"Lean.Name.hasMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4147-L4150","name":"Lean.Name.hasMacroScopes","line":4147,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hasMacroScopes","doc":"Does this name have hygienic macro scopes? "},"Lean.Name.getString!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L20-L22","name":"Lean.Name.getString!","line":20,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getString!","doc":""},"Lean.Name.getRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L100-L105","name":"Lean.Name.getRoot","line":100,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.getRoot","doc":""},"Lean.Name.getPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L15-L18","name":"Lean.Name.getPrefix","line":15,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getPrefix","doc":""},"Lean.Name.getNumParts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L24-L27","name":"Lean.Name.getNumParts","line":24,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getNumParts","doc":""},"Lean.Name.escapePart":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L113-L116","name":"Lean.Name.escapePart","line":113,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.escapePart","doc":""},"Lean.Name.eraseSuffix?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L174-L178","name":"Lean.Name.eraseSuffix?","line":174,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.eraseSuffix?","doc":"`eraseSuffix? n s` return `n'` if `n` is of the form `n == n' ++ s`.\n"},"Lean.Name.eraseMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4161-L4164","name":"Lean.Name.eraseMacroScopes","line":4161,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.eraseMacroScopes","doc":"Remove the macro scopes from the name. "},"Lean.Name.eqStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L42-L44","name":"Lean.Name.eqStr","line":42,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.eqStr","doc":""},"Lean.Name.componentsRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L34-L37","name":"Lean.Name.componentsRev","line":34,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.componentsRev","doc":""},"Lean.Name.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L39-L40","name":"Lean.Name.components","line":39,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.components","doc":""},"Lean.Name.cmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L58-L71","name":"Lean.Name.cmp","line":58,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.cmp","doc":""},"Lean.Name.capitalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L161-L163","name":"Lean.Name.capitalize","line":161,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.capitalize","doc":""},"Lean.Name.beq_iff_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L207-L209","name":"Lean.Name.beq_iff_eq","line":207,"kind":"theorem","docLink":"./Init/Meta.html#Lean.Name.beq_iff_eq","doc":""},"Lean.Name.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3494-L3498","name":"Lean.Name.beq","line":3494,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.beq","doc":"(Boolean) equality comparator for names. "},"Lean.Name.appendIndexAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L195-L198","name":"Lean.Name.appendIndexAfter","line":195,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendIndexAfter","doc":""},"Lean.Name.appendCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3507-L3510","name":"Lean.Name.appendCore","line":3507,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.appendCore","doc":"This function does not have special support for macro scopes.\nSee `Name.append`.\n"},"Lean.Name.appendBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L201-L205","name":"Lean.Name.appendBefore","line":201,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendBefore","doc":""},"Lean.Name.appendAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L189-L192","name":"Lean.Name.appendAfter","line":189,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendAfter","doc":""},"Lean.Name.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4263-L4273","name":"Lean.Name.append","line":4263,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.append","doc":"Append two names that may have macro scopes. The macro scopes in `b` are always erased.\nIf `a` has macro scopes, then they are propagated to the result of `append a b`.\n"},"Lean.Name.anyS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L144-L148","name":"Lean.Name.anyS","line":144,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.anyS","doc":"Return `true` if `n` contains a string part `s` that satifies `f`.\n\nExamples:\n```\n#eval (`foo.bla).anyS (·.startsWith \"fo\") -- true\n#eval (`foo.bla).anyS (·.startsWith \"boo\") -- false\n```\n"},"Lean.Name.anonymous.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L102-L103","name":"Lean.Name.anonymous.sizeOf_spec","line":102,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.anonymous.sizeOf_spec","doc":""},"Lean.Name.anonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3407-L3408","name":"Lean.Name.anonymous","line":3407,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.anonymous","doc":"The \"anonymous\" name. "},"Lean.Name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3406-L3430","name":"Lean.Name","line":3406,"kind":"inductive","docLink":"./Init/Prelude.html#Lean.Name","doc":"Hierarchical names. We use hierarchical names to name declarations and\nfor creating unique identifiers for free variables and metavariables.\n\nYou can create hierarchical names using the following quotation notation.\n```\n`Lean.Meta.whnf\n```\nIt is short for `.str (.str (.str .anonymous \"Lean\") \"Meta\") \"whnf\"`\nYou can use double quotes to request Lean to statically check whether the name\ncorresponds to a Lean declaration in scope.\n```\n``Lean.Meta.whnf\n```\nIf the name is not in scope, Lean will report an 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"},"Lean.MetavarContext.addExprMVarDeclExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L786-L788","name":"Lean.MetavarContext.addExprMVarDeclExp","line":786,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.addExprMVarDeclExp","doc":""},"Lean.MetavarContext.addExprMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L765-L784","name":"Lean.MetavarContext.addExprMVarDecl","line":765,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.addExprMVarDecl","doc":"Low level API for adding/declaring metavariable declarations.\nIt is used to implement actions in the monads `MetaM`, `ElabM` and `TacticM`.\nIt should not be used directly since the argument `(mvarId : MVarId)` is assumed to be \"unique\". "},"Lean.MetavarContext.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1238-L1239","name":"Lean.MetavarContext.abstractRange","line":1238,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.abstractRange","doc":""},"Lean.MetavarContext.UnivMVarParamResult.nextParamIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1351-L1351","name":"Lean.MetavarContext.UnivMVarParamResult.nextParamIdx","line":1351,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.nextParamIdx","doc":""},"Lean.MetavarContext.UnivMVarParamResult.newParamNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1350-L1350","name":"Lean.MetavarContext.UnivMVarParamResult.newParamNames","line":1350,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.newParamNames","doc":""},"Lean.MetavarContext.UnivMVarParamResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.UnivMVarParamResult.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.mk","doc":""},"Lean.MetavarContext.UnivMVarParamResult.mctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1349-L1349","name":"Lean.MetavarContext.UnivMVarParamResult.mctx","line":1349,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.mctx","doc":""},"Lean.MetavarContext.UnivMVarParamResult.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1352-L1352","name":"Lean.MetavarContext.UnivMVarParamResult.expr","line":1352,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.expr","doc":""},"Lean.MetavarContext.UnivMVarParamResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1348-L1352","name":"Lean.MetavarContext.UnivMVarParamResult","line":1348,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult","doc":""},"Lean.MetavarContext.MkBindingM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.MkBindingM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.mk","doc":""},"Lean.MetavarContext.MkBindingM.Context.mainModule":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1217-L1217","name":"Lean.MetavarContext.MkBindingM.Context.mainModule","line":1217,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.mainModule","doc":""},"Lean.MetavarContext.MkBindingM.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1218-L1218","name":"Lean.MetavarContext.MkBindingM.Context.lctx","line":1218,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.lctx","doc":""},"Lean.MetavarContext.MkBindingM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1216-L1218","name":"Lean.MetavarContext.MkBindingM.Context","line":1216,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context","doc":""},"Lean.MetavarContext.MkBindingM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1220-L1220","name":"Lean.MetavarContext.MkBindingM","line":1220,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM","doc":""},"Lean.MetavarContext.MkBinding.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1164-L1166","name":"Lean.MetavarContext.MkBinding.revert","line":1164,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.revert","doc":"Revert the variables `xs` from the local context of `mvarId`, returning\nan expression representing the (new) reverted metavariable and the list of\nvariables that were actually reverted (this list will include any forward dependencies).\n\nSee details in the comment at the top of the file.\n"},"Lean.MetavarContext.MkBinding.reduceLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L977-L979","name":"Lean.MetavarContext.MkBinding.reduceLocalContext","line":977,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.reduceLocalContext","doc":"Create a new `LocalContext` by removing the free variables in `toRevert` from `lctx`.\nWe use this function when we create auxiliary metavariables at `elimMVarDepsAux`. "},"Lean.MetavarContext.MkBinding.preserveOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L899-L900","name":"Lean.MetavarContext.MkBinding.preserveOrder","line":899,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.preserveOrder","doc":""},"Lean.MetavarContext.MkBinding.mkBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1181-L1212","name":"Lean.MetavarContext.MkBinding.mkBinding","line":1181,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.mkBinding","doc":"Similar to `LocalContext.mkBinding`, but handles metavariables correctly.\nIf `usedOnly == true` then `forall` and `lambda` expressions are created only for used variables.\nIf `usedLetOnly == true` then `let` expressions are created only for used (let-) variables. "},"Lean.MetavarContext.MkBinding.instToStringException":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L861-L867","name":"Lean.MetavarContext.MkBinding.instToStringException","line":861,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instToStringException","doc":""},"Lean.MetavarContext.MkBinding.instMonadMCtxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L891-L893","name":"Lean.MetavarContext.MkBinding.instMonadMCtxM","line":891,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instMonadMCtxM","doc":""},"Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L902-L904","name":"Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq","line":902,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq","doc":""},"Lean.MetavarContext.MkBinding.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1150-L1155","name":"Lean.MetavarContext.MkBinding.elimMVarDeps","line":1150,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.elimMVarDeps","doc":""},"Lean.MetavarContext.MkBinding.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L949-L973","name":"Lean.MetavarContext.MkBinding.collectForwardDeps","line":949,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.collectForwardDeps","doc":"Given `toRevert` an array of free variables s.t. `lctx` contains their declarations,\nreturn a new array of free variables that contains `toRevert` and all variables\nin `lctx` that may depend on `toRevert`.\n\nRemark: the result is sorted by `LocalDecl` indices.\n\nRemark: We used to throw an `Exception.revertFailure` exception when an auxiliary declaration\nhad to be reversed. Recall that auxiliary declarations are created when compiling (mutually)\nrecursive definitions. The `revertFailure` due to auxiliary declaration dependency was originally\nintroduced in Lean3 to address issue https://github.com/leanprover/lean/issues/1258.\nIn Lean4, this solution is not satisfactory because all definitions/theorems are potentially\nrecursive. So, even a simple (incomplete) definition such as\n```\nvariables {α : Type} in\ndef f (a : α) : List α :=\n_\n```\nwould trigger the `Exception.revertFailure` exception. In the definition above,\nthe elaborator creates the auxiliary definition `f : {α : Type} → List α`.\nThe `_` is elaborated as a new fresh variable `?m` that contains `α : Type`, `a : α`, and `f : α → List α` in its context,\nWhen we try to create the lambda `fun {α : Type} (a : α) => ?m`, we first need to create\nan auxiliary `?n` which does not contain `α` and `a` in its context. That is,\nwe create the metavariable `?n : {α : Type} → (a : α) → (f : α → List α) → List α`,\nadd the delayed assignment `?n #[α, a, f] := ?m`, and create the lambda\n`fun {α : Type} (a : α) => ?n α a f`.\nSee `elimMVarDeps` for more information.\nIf we kept using the Lean3 approach, we would get the `Exception.revertFailure` exception because we are\nreverting the auxiliary definition `f`.\n\nNote that https://github.com/leanprover/lean/issues/1258 is not an issue in Lean4 because\nwe have changed how we compile recursive definitions.\n"},"Lean.MetavarContext.MkBinding.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1173-L1175","name":"Lean.MetavarContext.MkBinding.abstractRange","line":1173,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.abstractRange","doc":"Similar to `Expr.abstractRange`, but handles metavariables correctly.\nIt uses `elimMVarDeps` to ensure `e` and the type of the free variables `xs` do not\ncontain a metavariable `?m` s.t. local context of `?m` contains a free variable in `xs`.\n"},"Lean.MetavarContext.MkBinding.State.ngen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L877-L877","name":"Lean.MetavarContext.MkBinding.State.ngen","line":877,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.ngen","doc":""},"Lean.MetavarContext.MkBinding.State.nextMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L876-L876","name":"Lean.MetavarContext.MkBinding.State.nextMacroScope","line":876,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.nextMacroScope","doc":""},"Lean.MetavarContext.MkBinding.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.MkBinding.State.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.mk","doc":""},"Lean.MetavarContext.MkBinding.State.mctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L875-L875","name":"Lean.MetavarContext.MkBinding.State.mctx","line":875,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.mctx","doc":""},"Lean.MetavarContext.MkBinding.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L878-L878","name":"Lean.MetavarContext.MkBinding.State.cache","line":878,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.cache","doc":""},"Lean.MetavarContext.MkBinding.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L874-L878","name":"Lean.MetavarContext.MkBinding.State","line":874,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State","doc":"`MkBinding` and `elimMVarDepsAux` are mutually recursive, but `cache` is only used at `elimMVarDepsAux`.\nWe use a single state object for convenience.\n\nWe have a `NameGenerator` because we need to generate fresh auxiliary metavariables. 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"},"Lean.Meta.withConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L769-L770","name":"Lean.Meta.withConfig","line":769,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.withConfig","doc":"`withConfig f x` executes `x` using the updated configuration object obtained by applying `f`. 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"},"Lean.Meta.viewSubexpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprLens.lean#L84-L87","name":"Lean.Meta.viewSubexpr","line":84,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.viewSubexpr","doc":"`view visit p e` runs `visit fvars s` where `s : Expr` is the subexpression of `e` at `p`.\nand `fvars` are the free variables for the binders that `s` is under.\n`s` is already instantiated with respect to these.\nThe role of the `visit` function is analogous to the `k` function in `Lean.Meta.forallTelescope`. "},"Lean.Meta.useEtaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L404-L408","name":"Lean.Meta.useEtaStruct","line":404,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.useEtaStruct","doc":"`useEtaStruct inductName` return `true` if we eta for structures is enabled for\nfor the inductive datatype `inductName`.\n\nRecall we have three different settings: `.none` (never use it), `.all` (always use it), `.notClasses`\n(enabled only for structure-like inductive types that are not classes).\n\nThe parameter `inductName` affects the result only if the current setting is `.notClasses`.\n"},"Lean.Meta.unifyEq?.substEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L55-L65","name":"Lean.Meta.unifyEq?.substEq","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?.substEq","doc":""},"Lean.Meta.unifyEq?.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L66-L86","name":"Lean.Meta.unifyEq?.injection","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?.injection","doc":""},"Lean.Meta.unifyEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L37-L102","name":"Lean.Meta.unifyEq?","line":37,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?","doc":"Helper method for methods such as `Cases.unifyEqs?`.\nGiven the given goal `mvarId` containing the local hypothesis `eqFVarId`, it performs the following operations:\n\n- If `eqFVarId` is a heterogeneous equality, tries to convert it to a homogeneous one.\n- If `eqFVarId` is a homogeneous equality of the form `a = b`, it tries\n - If `a` and `b` are definitionally equal, clear it\n - Normalize `a` and `b` using the current reducibility setting.\n - If `a` (`b`) is a free variable not occurring in `b` (`a`), replace it everywhere.\n - If `a` and `b` are distinct constructors, return `none` to indicate that the goal has been closed.\n - If `a` and `b` are the same contructor, apply `injection`, the result contains the number of new equalities introduced in the goal.\n - It also tries to apply the given `acyclic` method to try to close the goal.\n Remark: It is a parameter because `simp` uses `unifyEq?`, and `acyclic` depends on `simp`.\n"},"Lean.Meta.unificationHintExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/UnificationHint.lean#L32-L36","name":"Lean.Meta.unificationHintExtension","line":32,"kind":"opaque","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.unificationHintExtension","doc":""},"Lean.Meta.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Unfold.lean#L32-L36","name":"Lean.Meta.unfoldTarget","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfoldTarget","doc":""},"Lean.Meta.unfoldProjInstWhenIntances?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L642-L646","name":"Lean.Meta.unfoldProjInstWhenIntances?","line":642,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldProjInstWhenIntances?","doc":"Auxiliary method for unfolding a class projection. when transparency is set to `TransparencyMode.instances`.\nRecall that class instance projections are not marked with `[reducible]` because we want them to be\nin \"reducible canonical form\".\n"},"Lean.Meta.unfoldProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L623-L635","name":"Lean.Meta.unfoldProjInst?","line":623,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldProjInst?","doc":"Auxiliary method for unfolding a class projection.\n"},"Lean.Meta.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Unfold.lean#L38-L43","name":"Lean.Meta.unfoldLocalDecl","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfoldLocalDecl","doc":""},"Lean.Meta.unfoldDefinition?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L649-L728","name":"Lean.Meta.unfoldDefinition?","line":649,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldDefinition?","doc":"Unfold definition using \"smart unfolding\" if possible. 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"},"Lean.Meta.traverseLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprTraverse.lean#L75-L75","name":"Lean.Meta.traverseLambda","line":75,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambda","doc":"Given an expression `fun (x₁ : α₁) ... 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`h : Eq α a b`, try to apply `substCore` "},"Lean.Meta.subst.findEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Subst.lean#L180-L202","name":"Lean.Meta.subst.findEq","line":180,"kind":"def","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.subst.findEq","doc":"Try to find an equation of the form `heq : h = rhs` or `heq : lhs = h` "},"Lean.Meta.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Subst.lean#L140-L202","name":"Lean.Meta.subst","line":140,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.subst","doc":""},"Lean.Meta.splitTarget?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L300-L311","name":"Lean.Meta.splitTarget?.go","line":300,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitTarget?.go","doc":""},"Lean.Meta.splitTarget?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L298-L312","name":"Lean.Meta.splitTarget?","line":298,"kind":"def","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitTarget?","doc":""},"Lean.Meta.splitLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L314-L326","name":"Lean.Meta.splitLocalDecl?","line":314,"kind":"def","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitLocalDecl?","doc":""},"Lean.Meta.splitIfTarget?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/SplitIf.lean#L97-L106","name":"Lean.Meta.splitIfTarget?","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/SplitIf.html#Lean.Meta.splitIfTarget?","doc":""},"Lean.Meta.splitIfLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/SplitIf.lean#L108-L118","name":"Lean.Meta.splitIfLocalDecl?","line":108,"kind":"def","docLink":"./Lean/Meta/Tactic/SplitIf.html#Lean.Meta.splitIfLocalDecl?","doc":""},"Lean.Meta.splitAndCore.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L199-L209","name":"Lean.Meta.splitAndCore.go","line":199,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAndCore.go","doc":""},"Lean.Meta.splitAndCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L191-L212","name":"Lean.Meta.splitAndCore","line":191,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAndCore","doc":""},"Lean.Meta.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L221-L222","name":"Lean.Meta.splitAnd","line":221,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAnd","doc":""},"Lean.Meta.sortFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1486-L1493","name":"Lean.Meta.sortFVarIds","line":1486,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.sortFVarIds","doc":"Sort free variables using an order `x < y` iff `x` was defined before `y`.\nIf a free variable is not in the local context, we use their id. 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This method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.simpTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L891-L895","name":"Lean.Meta.simpTarget","line":891,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpTarget","doc":"Simplify the given goal target (aka type). Return `none` if the goal was closed. Return `some mvarId'` otherwise,\nwhere `mvarId'` is the simplified new goal. "},"Lean.Meta.simpStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L926-L929","name":"Lean.Meta.simpStep","line":926,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpStep","doc":"Simplify `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. 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user facing name for metavariables in `toReset`.\nThis a low-level method for \"undoing\" the effect of 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If the subexpression is below a binder\nthe bound variables will be appropriately instantiated with free variables and reabstracted after the replacement.\nIf the subexpression is invalid or points to a type then this will throw. "},"Lean.Meta.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L112-L113","name":"Lean.Meta.replaceLocalDeclDefEq","line":112,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.replaceLocalDeclDefEq","doc":""},"Lean.Meta.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L93-L94","name":"Lean.Meta.replaceLocalDecl","line":93,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.replaceLocalDecl","doc":""},"Lean.Meta.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rename.lean#L21-L22","name":"Lean.Meta.rename","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.Meta.rename","doc":""},"Lean.Meta.removeUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectFVars.lean#L48-L60","name":"Lean.Meta.removeUnused","line":48,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Meta.removeUnused","doc":""},"Lean.Meta.registerSimpAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L389-L394","name":"Lean.Meta.registerSimpAttr","line":389,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.registerSimpAttr","doc":""},"Lean.Meta.registerGetUnfoldEqnFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L127-L130","name":"Lean.Meta.registerGetUnfoldEqnFn","line":127,"kind":"def","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.registerGetUnfoldEqnFn","doc":"Register a new function for retrieving a \"unfold\" equation theorem.\n\nWe generate this kind of equation theorem on demand, and it is generated by more than one module.\nFor example, the structural and well-founded recursion modules generate it.\nMost recent getters are tried first.\n\nA getter returns an `Option Name`. The result is `none` if the getter failed.\nOtherwise, it is a theorem name. Example: the definition\n\n```\ndef f (xs : List Nat) : List Nat :=\n match xs with\n | [] => []\n | x::xs => (x+1)::f xs\n```\nshould have the theorem\n```\n(xs : Nat) →\n f xs =\n match xs with\n | [] => []\n | x::xs => (x+1)::f xs\n```\n"},"Lean.Meta.registerGetEqnsFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L40-L43","name":"Lean.Meta.registerGetEqnsFn","line":40,"kind":"def","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.registerGetEqnsFn","doc":"Register a new function for retrieving equation theorems.\nWe generate equations theorems on demand, and they are generated by more than one module.\nFor example, the structural and well-founded recursion modules generate them.\nMost recent getters are tried first.\n\nA getter returns an `Option (Array Name)`. The result is `none` if the getter failed.\nOtherwise, it is a sequence of theorem names where each one of them corresponds to\nan alternative. 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"},"Lean.Meta.mkLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L463-L464","name":"Lean.Meta.mkLt","line":463,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLt","doc":"Return `a < b` "},"Lean.Meta.mkListLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L432-L439","name":"Lean.Meta.mkListLit","line":432,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkListLit","doc":""},"Lean.Meta.mkLevelStuckErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1543-L1544","name":"Lean.Meta.mkLevelStuckErrorMessage","line":1543,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelStuckErrorMessage","doc":""},"Lean.Meta.mkLevelErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1546-L1547","name":"Lean.Meta.mkLevelErrorMessage","line":1546,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelErrorMessage","doc":""},"Lean.Meta.mkLetValCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L495-L496","name":"Lean.Meta.mkLetValCongr","line":495,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetValCongr","doc":"Return `let_val_congr b h` "},"Lean.Meta.mkLetFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L758-L759","name":"Lean.Meta.mkLetFVars","line":758,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLetFVars","doc":""},"Lean.Meta.mkLetCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L491-L492","name":"Lean.Meta.mkLetCongr","line":491,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetCongr","doc":"Return `let_congr h₁ h₂` "},"Lean.Meta.mkLetBodyCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L499-L500","name":"Lean.Meta.mkLetBodyCongr","line":499,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetBodyCongr","doc":"Return `let_body_congr a h` "},"Lean.Meta.mkLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L467-L468","name":"Lean.Meta.mkLe","line":467,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLe","doc":"Return `a <= b` "},"Lean.Meta.mkLambdaFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L755-L756","name":"Lean.Meta.mkLambdaFVars","line":755,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLambdaFVars","doc":"Takes an array `xs` of free variables and metavariables and a\nbody term `e` and creates `fun ..xs => e`, suitably\nabstracting `e` and the types in `xs`. 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"},"Lean.Meta.mkInjectiveTheorems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L150-L165","name":"Lean.Meta.mkInjectiveTheorems","line":150,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheorems","doc":""},"Lean.Meta.mkInjectiveTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L98-L99","name":"Lean.Meta.mkInjectiveTheoremNameFor","line":98,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheoremNameFor","doc":""},"Lean.Meta.mkInjectiveEqTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L113-L114","name":"Lean.Meta.mkInjectiveEqTheoremNameFor","line":113,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveEqTheoremNameFor","doc":""},"Lean.Meta.mkImpDepCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L530-L531","name":"Lean.Meta.mkImpDepCongrCtx","line":530,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpDepCongrCtx","doc":""},"Lean.Meta.mkImpCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L527-L528","name":"Lean.Meta.mkImpCongrCtx","line":527,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongrCtx","doc":""},"Lean.Meta.mkImpCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L524-L525","name":"Lean.Meta.mkImpCongr","line":524,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongr","doc":""},"Lean.Meta.mkIffOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L593-L597","name":"Lean.Meta.mkIffOfEq","line":593,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkIffOfEq","doc":"Given `h : a = b`, return a proof for `a ↔ b`. "},"Lean.Meta.mkId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L15-L18","name":"Lean.Meta.mkId","line":15,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkId","doc":"Return `id e` "},"Lean.Meta.mkHasTypeButIsExpectedMsg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L117-L126","name":"Lean.Meta.mkHasTypeButIsExpectedMsg","line":117,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.mkHasTypeButIsExpectedMsg","doc":"Return error message \"has type{givenType}\\nbut is expected to have type{expectedType}\"\n"},"Lean.Meta.mkHEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L127-L140","name":"Lean.Meta.mkHEqTrans","line":127,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqTrans","doc":"Given `h₁ : HEq a b`, `h₂ : HEq b c`, returns a proof of `HEq a c`. "},"Lean.Meta.mkHEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L114-L124","name":"Lean.Meta.mkHEqSymm","line":114,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqSymm","doc":"Given `h : HEq a b`, returns a proof of `HEq b a`. "},"Lean.Meta.mkHEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L59-L62","name":"Lean.Meta.mkHEqRefl","line":59,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqRefl","doc":"Return a proof of `HEq a a`. "},"Lean.Meta.mkHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L34-L38","name":"Lean.Meta.mkHEq","line":34,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEq","doc":"Return `HEq a b`. 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to `mkFreshUserName`, but takes into account `tactic.hygienic` option value.\nIf `tactic.hygienic = true`, then the current macro scopes are applied to `binderName`.\nIf not, then an unused (accessible) name (based on `binderName`) in the local context is used.\n"},"Lean.Meta.mkForallFVars'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L123-L138","name":"Lean.Meta.mkForallFVars'","line":123,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.mkForallFVars'","doc":"Similar to `mkForallFVars`, but tries to infer better binder names when `xs` contains metavariables.\nLet `?m` be a metavariable in `xs` s.t. `?m` does not have a user facing name.\nThen, we try to find an application `f ... ?m` in the other binder typer and `type`, and\n(temporarily) use the corresponding parameter name (with a fresh macro scope) as the user facing name for `?m`.\nThe \"renaming\" is temporary.\n"},"Lean.Meta.mkForallFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L749-L750","name":"Lean.Meta.mkForallFVars","line":749,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkForallFVars","doc":"Takes an array `xs` of free variables or metavariables and a term `e` that may contain those variables, and abstracts and binds them as universal quantifiers.\n\n- if `usedOnly = true` then only variables that the expression body depends on will appear.\n- if `usedLetOnly = true` same as `usedOnly` except for let-bound variables. (That is, local constants which have been assigned a value.)\n "},"Lean.Meta.mkForallCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L533-L534","name":"Lean.Meta.mkForallCongr","line":533,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkForallCongr","doc":""},"Lean.Meta.mkFalseElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L71-L73","name":"Lean.Meta.mkFalseElim","line":71,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFalseElim","doc":"Given `h : False`, return an instance of type `e`. "},"Lean.Meta.mkExpectedTypeHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L23-L25","name":"Lean.Meta.mkExpectedTypeHint","line":23,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkExpectedTypeHint","doc":"Given `e` s.t. `inferType e` is definitionally equal to `expectedType`, return\nterm `@id expectedType e`. "},"Lean.Meta.mkEqTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L507-L508","name":"Lean.Meta.mkEqTrue","line":507,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrue","doc":"Return `eq_true h` "},"Lean.Meta.mkEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L98-L111","name":"Lean.Meta.mkEqTrans","line":98,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrans","doc":"Given `h₁ : a = b` and `h₂ : b = c` returns a proof of `a = c`. "},"Lean.Meta.mkEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L86-L95","name":"Lean.Meta.mkEqSymm","line":86,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqSymm","doc":"Given `h : a = b`, returns a proof of `b = a`. "},"Lean.Meta.mkEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L53-L56","name":"Lean.Meta.mkEqRefl","line":53,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRefl","doc":"Return a proof of `a = a`. "},"Lean.Meta.mkEqRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L361-L375","name":"Lean.Meta.mkEqRec","line":361,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRec","doc":""},"Lean.Meta.mkEqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L143-L152","name":"Lean.Meta.mkEqOfHEq","line":143,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqOfHEq","doc":"Given `h : Eq a b`, returns a proof of `HEq a b`. "},"Lean.Meta.mkEqNDRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L346-L359","name":"Lean.Meta.mkEqNDRec","line":346,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqNDRec","doc":""},"Lean.Meta.mkEqMPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L380-L381","name":"Lean.Meta.mkEqMPR","line":380,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMPR","doc":""},"Lean.Meta.mkEqMP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L377-L378","name":"Lean.Meta.mkEqMP","line":377,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMP","doc":""},"Lean.Meta.mkEqHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L43-L50","name":"Lean.Meta.mkEqHEq","line":43,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqHEq","doc":"If `a` and `b` have definitionally equal types, return `Eq a b`, otherwise return `HEq a b`.\n"},"Lean.Meta.mkEqFalse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L521-L522","name":"Lean.Meta.mkEqFalse'","line":521,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse'","doc":"Return `eq_false' h`\n`h` must have type definitionally equal to `p → False` in the current\nreducibility setting. "},"Lean.Meta.mkEqFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L514-L515","name":"Lean.Meta.mkEqFalse","line":514,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse","doc":"Return `eq_false h`\n`h` must have type definitionally equal to `¬ p` in the current\nreducibility setting. "},"Lean.Meta.mkEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L28-L31","name":"Lean.Meta.mkEq","line":28,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEq","doc":"Return `a = b`. "},"Lean.Meta.mkDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L471-L472","name":"Lean.Meta.mkDefault","line":471,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDefault","doc":"Return `Inhabited.default α` "},"Lean.Meta.mkDecideProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L455-L460","name":"Lean.Meta.mkDecideProof","line":455,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecideProof","doc":"Return a proof for `p : Prop` using `decide p` "},"Lean.Meta.mkDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L451-L452","name":"Lean.Meta.mkDecide","line":451,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecide","doc":"Return `Decidable.decide p` "},"Lean.Meta.mkCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L115-L137","name":"Lean.Meta.mkCustomEliminator","line":115,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.mkCustomEliminator","doc":""},"Lean.Meta.mkConstWithFreshMVarLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L493-L495","name":"Lean.Meta.mkConstWithFreshMVarLevels","line":493,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkConstWithFreshMVarLevels","doc":"Create a constant with the given name and new universe metavariables.\nExample: ``mkConstWithFreshMVarLevels `Monad`` returns `@Monad.{?u, ?v}`\n"},"Lean.Meta.mkCongrSimpCore?.mkProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L292-L315","name":"Lean.Meta.mkCongrSimpCore?.mkProof.go","line":292,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L291-L316","name":"Lean.Meta.mkCongrSimpCore?.mkProof","line":291,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L259-L286","name":"Lean.Meta.mkCongrSimpCore?.mk?.go","line":259,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L254-L289","name":"Lean.Meta.mkCongrSimpCore?.mk?","line":254,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?","doc":"Create a congruence theorem that is useful for the simplifier.\nIn this kind of theorem, if the i-th argument is a `cast` argument, then the theorem\ncontains an input `a_i` representing the i-th argument in the left-hand-side, and\nit appears with a cast (e.g., `Eq.drec ... a_i ...`) in the right-hand-side.\nThe idea is that the right-hand-side of this theorem \"tells\" the simplifier\nhow the resulting term looks like. "},"Lean.Meta.mkCongrSimpCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L236-L316","name":"Lean.Meta.mkCongrSimpCore?","line":236,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?","doc":"Create a congruence theorem that is useful for the simplifier and `congr` tactic.\n"},"Lean.Meta.mkCongrSimp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L326-L329","name":"Lean.Meta.mkCongrSimp?","line":326,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimp?","doc":"Create a congruence theorem for `f`. The theorem is used in the simplifier.\n\nIf `subsingletonInstImplicitRhs = true`, the the `rhs` corresponding to `[Decidable p]` parameters\nis marked as instance implicit. It forces the simplifier to compute the new instance when applying\nthe congruence theorem.\nFor the `congr` tactic we set it to `false`.\n"},"Lean.Meta.mkCongrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L170-L185","name":"Lean.Meta.mkCongrFun","line":170,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrFun","doc":"Given `h : f = g` and `a : α`, returns a proof of `f a = g a`."},"Lean.Meta.mkCongrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L155-L167","name":"Lean.Meta.mkCongrArg","line":155,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrArg","doc":"Given `f : α → β` and `h : a = b`, returns a proof of `f a = f b`."},"Lean.Meta.mkCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L188-L206","name":"Lean.Meta.mkCongr","line":188,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongr","doc":"Given `h₁ : f = g` and `h₂ : a = b`, returns a proof of `f a = g b`. "},"Lean.Meta.mkAuxTheoremFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L399-L402","name":"Lean.Meta.mkAuxTheoremFor","line":399,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheoremFor","doc":"Similar to `mkAuxTheorem`, but infers the type of `value`.\n"},"Lean.Meta.mkAuxTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L372-L394","name":"Lean.Meta.mkAuxTheorem","line":372,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheorem","doc":"Create an auxiliary theorem with the given name, type and value. It is similar to `mkAuxDefinition`.\n"},"Lean.Meta.mkAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L656-L657","name":"Lean.Meta.mkAuxMVar","line":656,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.mkAuxMVar","doc":""},"Lean.Meta.mkAuxLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/AuxLemma.lean#L26-L39","name":"Lean.Meta.mkAuxLemma","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.mkAuxLemma","doc":"Helper method for creating auxiliary lemmas in the environment.\n\nIt uses a cache that maps `type` to declaration name. The cache is not stored in `.olean` files.\nIt is useful to make sure the same auxiliary lemma is not created over and over again in the same file.\n\nThis method is useful for tactics (e.g., `simp`) that may perform preprocessing steps to lemmas provided by\nusers. For example, `simp` preprocessor may convert a lemma into multiple ones.\n"},"Lean.Meta.mkAuxDefinitionFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L364-L367","name":"Lean.Meta.mkAuxDefinitionFor","line":364,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinitionFor","doc":"Similar to `mkAuxDefinition`, but infers the type of `value`. "},"Lean.Meta.mkAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L347-L361","name":"Lean.Meta.mkAuxDefinition","line":347,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinition","doc":"Create an auxiliary definition with the given name, type and value.\nThe parameters `type` and `value` may contain free and meta variables.\nA \"closure\" is computed, and a term of the form `name.{u_1 ... u_n} t_1 ... t_m` is\nreturned where `u_i`s are universe parameters and metavariables `type` and `value` depend on,\nand `t_j`s are free and meta variables `type` and `value` depend on. "},"Lean.Meta.mkArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L441-L444","name":"Lean.Meta.mkArrayLit","line":441,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkArrayLit","doc":""},"Lean.Meta.mkAppOptM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L341-L344","name":"Lean.Meta.mkAppOptM'","line":341,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM'","doc":"Similar to `mkAppOptM`, but takes an `Expr` instead of a constant name "},"Lean.Meta.mkAppOptM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L335-L338","name":"Lean.Meta.mkAppOptM","line":335,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM","doc":"Similar to `mkAppM`, but it allows us to specify which arguments are provided explicitly using `Option` type.\nExample:\nGiven `Pure.pure {m : Type u → Type v} [Pure m] {α : Type u} (a : α) : m α`,\n```\nmkAppOptM `Pure.pure #[m, none, none, a]\n```\nreturns a `Pure.pure` application if the instance `Pure m` can be synthesized, and the universe match.\nNote that,\n```\nmkAppM `Pure.pure #[a]\n```\nfails because the only explicit argument `(a : α)` is not sufficient for inferring the remaining arguments,\nwe would need the expected type. "},"Lean.Meta.mkAppM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L284-L287","name":"Lean.Meta.mkAppM'","line":284,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM'","doc":"Similar to `mkAppM`, but takes an `Expr` instead of a constant name. "},"Lean.Meta.mkAppM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L278-L281","name":"Lean.Meta.mkAppM","line":278,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM","doc":"Return the application `constName xs`.\nIt tries to fill the implicit arguments before the last element in `xs`.\n\nRemark:\n``mkAppM `arbitrary #[α]`` returns `@arbitrary.{u} α` without synthesizing\nthe implicit argument occurring after `α`.\nGiven a `x : (([Decidable p] → Bool) × Nat`, ``mkAppM `Prod.fst #[x]`` returns `@Prod.fst ([Decidable p] → Bool) Nat x`\n"},"Lean.Meta.mkAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L566-L566","name":"Lean.Meta.mkAdd","line":566,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAdd","doc":"Return `a + b` using a heterogeneous `+`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkAbsurd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L65-L68","name":"Lean.Meta.mkAbsurd","line":65,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAbsurd","doc":"Given `hp : P` and `nhp : Not P` returns an instance of type `e`. "},"Lean.Meta.matchNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L45-L52","name":"Lean.Meta.matchNot?","line":45,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNot?","doc":""},"Lean.Meta.matchNe?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L54-L61","name":"Lean.Meta.matchNe?","line":54,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNe?","doc":""},"Lean.Meta.matchMatcherApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L141-L162","name":"Lean.Meta.matchMatcherApp?","line":141,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.matchMatcherApp?","doc":""},"Lean.Meta.matchHelper?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L17-L20","name":"Lean.Meta.matchHelper?","line":17,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHelper?","doc":""},"Lean.Meta.matchHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L26-L27","name":"Lean.Meta.matchHEq?","line":26,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHEq?","doc":""},"Lean.Meta.matchFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L42-L43","name":"Lean.Meta.matchFalse","line":42,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchFalse","doc":""},"Lean.Meta.matchEqHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L32-L40","name":"Lean.Meta.matchEqHEq?","line":32,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEqHEq?","doc":"Return `some (α, lhs, rhs)` if `e` is of the form `@Eq α lhs rhs` or `@HEq α lhs α rhs`\n"},"Lean.Meta.matchEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L23-L24","name":"Lean.Meta.matchEq?","line":23,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEq?","doc":"Matches `e` with `lhs = (rhs : α)` and returns `(α, lhs, rhs)`. 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whether two universe level expressions are definitionally equal to each other.\n"},"Lean.Meta.isInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L216-L217","name":"Lean.Meta.isInstance","line":216,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.isInstance","doc":""},"Lean.Meta.isInductivePredicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1498-L1505","name":"Lean.Meta.isInductivePredicate","line":1498,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isInductivePredicate","doc":"Return `true` if `declName` is an inductive predicate. 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(x_n : A_n [x_1, ... x_{n-1}])`.\nMoreover,\n- type of `e_1` is definitionally equal to `A_1`,\n- type of `e_2` is definitionally equal to `A_2[e_1]`.\n- ...\n- type of `e_n` is definitionally equal to `A_n[e_1, ..., e_{n-1}]`.\n\nThis method tries to avoid the creation of new free variables. For example, if `e_i` is a\nfree variable `x_i` and it is not a let-declaration variable, and its type does not depend on\nprevious `e_j`s, the method will just use `x_i`.\n\nThe telescope `x_1 ... x_n` can be used to create lambda and forall abstractions.\nMoreover, for any type correct lambda abstraction `f` constructed using `mkForall #[x_1, ..., x_n] ...`,\nThe application `f e_1 ... e_n` is also type correct.\n\nThe `kabstract` method is used to \"locate\" and abstract forward dependencies.\nThat is, an occurrence of `e_i` in the of `e_j` for `j > i`.\n\nThe method checks whether the abstract types `A_i` are type correct. Here is an example\nwhere `generalizeTelescope` fails to create the telescope `x_1 ... x_n`.\nAssume the local context contains `(n : Nat := 10) (xs : Vec Nat n) (ys : Vec Nat 10) (h : xs = ys)`.\nThen, assume we invoke `generalizeTelescope` with `es := #[10, xs, ys, h]`\nA type error is detected when processing `h`'s type. At this point, the method had successfully produced\n```\n (x_1 : Nat) (xs : Vec Nat n) (x_2 : Vec Nat x_1)\n```\nand the type for the new variable abstracting `h` is `xs = x_2` which is not type correct. "},"Lean.Meta.generalizeTargetsEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L45-L59","name":"Lean.Meta.generalizeTargetsEq","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeTargetsEq","doc":""},"Lean.Meta.generalizeIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L85-L122","name":"Lean.Meta.generalizeIndices","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeIndices","doc":"Similar to `generalizeTargets` but customized for the `casesOn` motive.\nGiven a metavariable `mvarId` representing the\n```\nCtx, h : I A j, D |- T\n```\nwhere `fvarId` is `h`s id, and the type `I A j` is an inductive datatype where `A` are parameters,\nand `j` the indices. Generate the goal\n```\nCtx, h : I A j, D, j' : J, h' : I A j' |- j == j' -> h == h' -> T\n```\nRemark: `(j == j' -> h == h')` is a \"telescopic\" equality.\nRemark: `j` is sequence of terms, and `j'` a sequence of free variables.\nThe result contains the fields\n- `mvarId`: the new goal\n- `indicesFVarIds`: `j'` ids\n- `fvarId`: `h'` id\n- `numEqs`: number of equations in the target "},"Lean.Meta.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L78-L79","name":"Lean.Meta.generalize","line":78,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.Meta.generalize","doc":"Telescopic `generalize` tactic. 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We also have the goal `[Pure ?m]`.\nNow, assume the expected type is `IO Bool`. Then, the unification constraint `?m Prop =?= IO Bool` could be solved\nas `?m := fun _ => IO Bool` using `constApprox`, but this spurious solution would generate a failure when we try to\nsolve `[Pure (fun _ => IO Bool)]` "},"Lean.Meta.forallTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1052-L1053","name":"Lean.Meta.forallTelescopeReducing","line":1052,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescopeReducing","doc":"Similar to `forallTelescope`, but given `type` of the form `forall xs, A`,\nit reduces `A` and continues bulding the telescope if it is a `forall`. "},"Lean.Meta.forallTelescopeCompatibleAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L11-L28","name":"Lean.Meta.forallTelescopeCompatibleAux","line":11,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatibleAux","doc":""},"Lean.Meta.forallTelescopeCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L32-L34","name":"Lean.Meta.forallTelescopeCompatible","line":32,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatible","doc":"Given two forall-expressions `type₁` and `type₂`, ensure the first `numParams` parameters are compatible, and\nthen execute `k` with the parameters and remaining types. "},"Lean.Meta.forallTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1043-L1044","name":"Lean.Meta.forallTelescope","line":1043,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescope","doc":"Given `type` of the form `forall xs, A`, execute `k xs A`.\nThis combinator will declare local declarations, create free variables for them,\nexecute `k` with updated local context, and make sure the cache is restored after executing `k`. "},"Lean.Meta.forallMetaTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1147-L1148","name":"Lean.Meta.forallMetaTelescopeReducing","line":1147,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescopeReducing","doc":"Similar to `forallMetaTelescope`, but if `e = forall ..xs, A`\nit will reduce `A` to construct further mvars. "},"Lean.Meta.forallMetaTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1142-L1143","name":"Lean.Meta.forallMetaTelescope","line":1142,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescope","doc":"Given `e` of the form `forall ..xs, A`, this combinator will create a new\nmetavariable for each `x` in `xs` and instantiate `A` with these.\nReturns a product containing\n- the new metavariables\n- the binder info for the `xs`\n- the instantiated `A`\n"},"Lean.Meta.forallMetaBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1152-L1153","name":"Lean.Meta.forallMetaBoundedTelescope","line":1152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaBoundedTelescope","doc":"Similar to `forallMetaTelescopeReducing`, stops\nconstructing the telescope when it reaches size `maxMVars`. "},"Lean.Meta.forallBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1061-L1062","name":"Lean.Meta.forallBoundedTelescope","line":1061,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallBoundedTelescope","doc":"Similar to `forallTelescopeReducing`, stops constructing the telescope when\nit reaches size `maxFVars`. "},"Lean.Meta.forEachExpr'.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L58-L68","name":"Lean.Meta.forEachExpr'.visit","line":58,"kind":"opaque","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'.visit","doc":""},"Lean.Meta.forEachExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L52-L69","name":"Lean.Meta.forEachExpr'","line":52,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'","doc":"Similar to `Expr.forEach'`, but creates free variables whenever going inside of a binder.\nIf the inner function returns `false`, deeper subexpressions will not be visited.\n "},"Lean.Meta.forEachExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L72-L75","name":"Lean.Meta.forEachExpr","line":72,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr","doc":"Similar to `Expr.forEach`, but creates free variables whenever going inside of a binder. "},"Lean.Meta.foldPatValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Value.lean#L37-L40","name":"Lean.Meta.foldPatValue","line":37,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.foldPatValue","doc":"The frontend expands uint numerals occurring in patterns into `UInt*.mk ..` contructor applications.\nThis method convert them back into `UInt*.ofNat ..` applications.\n"},"Lean.Meta.foldAncestors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprLens.lean#L106-L109","name":"Lean.Meta.foldAncestors","line":106,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.foldAncestors","doc":"`foldAncestors k init p e` folds over the strict ancestor subexpressions of the given expression `e` above position `p`, starting at the root expression and working down.\nThe fold function `k` is given the newly instantiated free variables, the ancestor subexpression, and the coordinate\nthat will be explored next."},"Lean.Meta.findMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L515-L516","name":"Lean.Meta.findMVarDecl?","line":515,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findMVarDecl?","doc":""},"Lean.Meta.findLocalDeclWithType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L11-L18","name":"Lean.Meta.findLocalDeclWithType?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.findLocalDeclWithType?","doc":"Return a local declaration whose type is definitionally equal to `type`. "},"Lean.Meta.findLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L643-L644","name":"Lean.Meta.findLocalDecl?","line":643,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findLocalDecl?","doc":""},"Lean.Meta.expandCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L24-L33","name":"Lean.Meta.expandCoe","line":24,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.expandCoe","doc":"Expand coercions occurring in `e` "},"Lean.Meta.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L53-L54","name":"Lean.Meta.existsIntro","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.existsIntro","doc":""},"Lean.Meta.exactlyOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L137-L140","name":"Lean.Meta.exactlyOne","line":137,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.exactlyOne","doc":""},"Lean.Meta.evalNat.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Offset.lean#L36-L61","name":"Lean.Meta.evalNat.visit","line":36,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat.visit","doc":""},"Lean.Meta.evalNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Offset.lean#L27-L61","name":"Lean.Meta.evalNat","line":27,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat","doc":"Evaluate simple `Nat` expressions.\nRemark: this method assumes the given expression has type `Nat`. "},"Lean.Meta.evalExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L10-L24","name":"Lean.Meta.evalExprCore","line":10,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExprCore","doc":""},"Lean.Meta.evalExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L26-L30","name":"Lean.Meta.evalExpr'","line":26,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr'","doc":""},"Lean.Meta.evalExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L32-L35","name":"Lean.Meta.evalExpr","line":32,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr","doc":""},"Lean.Meta.etaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1666-L1667","name":"Lean.Meta.etaExpand","line":1666,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.etaExpand","doc":"Eta expand the given expression.\nExample:\n```\netaExpand (mkConst ``Nat.add)\n```\nproduces `fun x y => Nat.add x y`\n"},"Lean.Meta.erasePatternRefAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Transform.lean#L165-L166","name":"Lean.Meta.erasePatternRefAnnotations","line":165,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.erasePatternRefAnnotations","doc":""},"Lean.Meta.eraseInaccessibleAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Transform.lean#L162-L163","name":"Lean.Meta.eraseInaccessibleAnnotations","line":162,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.eraseInaccessibleAnnotations","doc":""},"Lean.Meta.eqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L57-L58","name":"Lean.Meta.eqnsExt","line":57,"kind":"opaque","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.eqnsExt","doc":""},"Lean.Meta.ensureAtMostOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L142-L146","name":"Lean.Meta.ensureAtMostOne","line":142,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.ensureAtMostOne","doc":""},"Lean.Meta.elimOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L26-L31","name":"Lean.Meta.elimOptParam","line":26,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.elimOptParam","doc":""},"Lean.Meta.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L765-L766","name":"Lean.Meta.elimMVarDeps","line":765,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.elimMVarDeps","doc":""},"Lean.Meta.dsimpGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L1022-L1053","name":"Lean.Meta.dsimpGoal","line":1022,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimpGoal","doc":""},"Lean.Meta.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L858-L860","name":"Lean.Meta.dsimp","line":858,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimp","doc":""},"Lean.Meta.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L35-L36","name":"Lean.Meta.deltaTarget","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaTarget","doc":""},"Lean.Meta.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L47-L48","name":"Lean.Meta.deltaLocalDecl","line":47,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaLocalDecl","doc":""},"Lean.Meta.deltaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L20-L24","name":"Lean.Meta.deltaExpand","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaExpand","doc":"Low-level delta expansion. It is used to implement equation lemmas and elimination principles for recursive definitions. "},"Lean.Meta.delta?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L11-L17","name":"Lean.Meta.delta?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.delta?","doc":""},"Lean.Meta.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L43-L44","name":"Lean.Meta.define","line":43,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.define","doc":""},"Lean.Meta.defaultInstanceExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L247-L251","name":"Lean.Meta.defaultInstanceExtension","line":247,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.defaultInstanceExtension","doc":""},"Lean.Meta.decLevel?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L53-L59","name":"Lean.Meta.decLevel?","line":53,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel?","doc":""},"Lean.Meta.decLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L61-L64","name":"Lean.Meta.decLevel","line":61,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel","doc":""},"Lean.Meta.customEliminatorExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L108-L113","name":"Lean.Meta.customEliminatorExt","line":108,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.customEliminatorExt","doc":""},"Lean.Meta.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L229-L230","name":"Lean.Meta.contradiction","line":229,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.contradiction","doc":""},"Lean.Meta.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L31-L32","name":"Lean.Meta.constructor","line":31,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.constructor","doc":""},"Lean.Meta.congrExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L45-L50","name":"Lean.Meta.congrExtension","line":45,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.congrExtension","doc":""},"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L119-L128","name":"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","line":119,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","doc":""},"Lean.Meta.computeSynthOrder.assignMVarsIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L139-L143","name":"Lean.Meta.computeSynthOrder.assignMVarsIn","line":139,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.assignMVarsIn","doc":""},"Lean.Meta.computeSynthOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L113-L188","name":"Lean.Meta.computeSynthOrder","line":113,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder","doc":"Compute the order the arguments of `inst` should by synthesized.\n\nThe synthesization order makes sure that all mvars in non-out-params of the\nsubgoals are assigned before we try to synthesize it. Otherwise it goes left\nto right.\n\nFor example:\n - `[Add α] [Zero α] : Foo α` returns `[0, 1]`\n - `[Mul A] [Mul B] [MulHomClass F A B] : FunLike F A B` returns `[2, 0, 1]`\n (because A B are out-params and are only filled in once we synthesize 2)\n\n(The type of `inst` must not contain mvars.)\n"},"Lean.Meta.compatibleCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Inductive.lean#L13-L21","name":"Lean.Meta.compatibleCtors","line":13,"kind":"def","docLink":"./Lean/Meta/Inductive.html#Lean.Meta.compatibleCtors","doc":"Return true if the types of the given constructors are compatible. "},"Lean.Meta.collectMVarsAtDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectMVars.lean#L41-L42","name":"Lean.Meta.collectMVarsAtDecl","line":41,"kind":"def","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVarsAtDecl","doc":""},"Lean.Meta.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectMVars.lean#L20-L29","name":"Lean.Meta.collectMVars","line":20,"kind":"opaque","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVars","doc":"Collect unassigned metavariables occuring in the given expression.\n\nRemark: if `e` contains `?m` and there is a `t` assigned to `?m`, we\ncollect unassigned metavariables occurring in `t`.\n\nRemark: if `e` contains `?m` and `?m` is delayed assigned to some term `t`,\nwe collect `?m` and unassigned metavariables occurring in `t`.\nWe collect `?m` because it has not been assigned yet. "},"Lean.Meta.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L741-L742","name":"Lean.Meta.collectForwardDeps","line":741,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.collectForwardDeps","doc":"Collect forward dependencies for the free variables in `toRevert`.\nRecall that when reverting free variables `xs`, we must also revert their forward dependencies.\n"},"Lean.Meta.coerceToSort?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L69-L79","name":"Lean.Meta.coerceToSort?","line":69,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToSort?","doc":"Coerces `expr` to a type. "},"Lean.Meta.coerceToFunction?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L56-L66","name":"Lean.Meta.coerceToFunction?","line":56,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToFunction?","doc":"Coerces `expr` to a function type. "},"Lean.Meta.coerceSimple?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L41-L53","name":"Lean.Meta.coerceSimple?","line":41,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceSimple?","doc":"Coerces `expr` to `expectedType` using `CoeT`. "},"Lean.Meta.coerceMonadLift?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L155-L197","name":"Lean.Meta.coerceMonadLift?","line":155,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceMonadLift?","doc":"Try coercions and monad lifts to make sure `e` has type `expectedType`.\n\nIf `expectedType` is of the form `n β`, we try monad lifts and other extensions.\n\nExtensions for monads.\n\n1. Try to unify `n` and `m`. If it succeeds, then we use\n ```\n coeM {m : Type u → Type v} {α β : Type u} [∀ a, CoeT α a β] [Monad m] (x : m α) : m β\n ```\n `n` must be a `Monad` to use this one.\n\n2. If there is monad lift from `m` to `n` and we can unify `α` and `β`, we use\n ```\n liftM : ∀ {m : Type u_1 → Type u_2} {n : Type u_1 → Type u_3} [self : MonadLiftT m n] {α : Type u_1}, m α → n α\n ```\n Note that `n` may not be a `Monad` in this case. This happens quite a bit in code such as\n ```\n def g (x : Nat) : IO Nat := do\n IO.println x\n pure x\n\n def f {m} [MonadLiftT IO m] : m Nat :=\n g 10\n\n ```\n\n3. If there is a monad lift from `m` to `n` and a coercion from `α` to `β`, we use\n ```\n liftCoeM {m : Type u → Type v} {n : Type u → Type w} {α β : Type u} [MonadLiftT m n] [∀ a, CoeT α a β] [Monad n] (x : m α) : n β\n ```\n\nNote that approach 3 does not subsume 1 because it is only applicable if there is a coercion from `α` to `β` for all values in `α`.\nThis is not the case for example for `pure $ x > 0` when the expected type is `IO Bool`. The given type is `IO Prop`, and\nwe only have a coercion from decidable propositions. Approach 1 works because it constructs the coercion `CoeT (m Prop) (pure $ x > 0) (m Bool)`\nusing the instance `pureCoeDepProp`.\n\nNote that, approach 2 is more powerful than `tryCoe`.\nRecall that type class resolution never assigns metavariables created by other modules.\nNow, consider the following scenario\n```lean\ndef g (x : Nat) : IO Nat := ...\ndeg h (x : Nat) : StateT Nat IO Nat := do\nv ← g x;\nIO.Println v;\n...\n```\nLet's assume there is no other occurrence of `v` in `h`.\nThus, we have that the expected of `g x` is `StateT Nat IO ?α`,\nand the given type is `IO Nat`. So, even if we add a coercion.\n```\ninstance {α m n} [MonadLiftT m n] {α} : Coe (m α) (n α) := ...\n```\nIt is not applicable because TC would have to assign `?α := Nat`.\nOn the other hand, TC can easily solve `[MonadLiftT IO (StateT Nat IO)]`\nsince this goal does not contain any metavariables. And then, we\nconvert `g x` into `liftM $ g x`.\n"},"Lean.Meta.coerce?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L203-L210","name":"Lean.Meta.coerce?","line":203,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerce?","doc":"Coerces `expr` to the type `expectedType`.\nReturns `.some coerced` on successful coercion,\n`.none` if the expression cannot by coerced to that type,\nor `.undef` if we need more metavariable assignments. "},"Lean.Meta.coeDeclAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L13-L14","name":"Lean.Meta.coeDeclAttr","line":13,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coeDeclAttr","doc":""},"Lean.Meta.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L38-L39","name":"Lean.Meta.clear","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.clear","doc":""},"Lean.Meta.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cleanup.lean#L70-L71","name":"Lean.Meta.cleanup","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.Meta.cleanup","doc":""},"Lean.Meta.checkpointDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1593-L1620","name":"Lean.Meta.checkpointDefEq","line":1593,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.checkpointDefEq","doc":"`checkpointDefEq x` executes `x` and process all postponed universe level constraints produced by `x`.\nWe keep the modifications only if `processPostponed` return true and `x` returned `true`.\n\nIf `mayPostpone == false`, all new postponed universe level constraints must be solved before returning.\nWe currently try to postpone universe constraints as much as possible, even when by postponing them we\nare not sure whether `x` really succeeded or not.\n"},"Lean.Meta.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L53-L54","name":"Lean.Meta.checkNotAssigned","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.checkNotAssigned","doc":""},"Lean.Meta.checkAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L933-L950","name":"Lean.Meta.checkAssignment","line":933,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.checkAssignment","doc":"Auxiliary function for handling constraints of the form `?m a₁ ... aₙ =?= v`.\nIt will check whether we can perform the assignment\n```\n?m := fun fvars => v\n```\nThe result is `none` if the assignment can't be performed.\nThe result is `some newV` where `newV` is a possibly updated `v`. This method may need\nto unfold let-declarations. "},"Lean.Meta.checkApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L136-L144","name":"Lean.Meta.checkApp","line":136,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.checkApp","doc":""},"Lean.Meta.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L189-L196","name":"Lean.Meta.check","line":189,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.check","doc":"Throw an exception if `e` is not type correct.\n"},"Lean.Meta.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L156-L157","name":"Lean.Meta.changeLocalDecl","line":156,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.changeLocalDecl","doc":""},"Lean.Meta.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L128-L129","name":"Lean.Meta.change","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.change","doc":""},"Lean.Meta.casesOnStuckLHS?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L52-L53","name":"Lean.Meta.casesOnStuckLHS?","line":52,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS?","doc":""},"Lean.Meta.casesOnStuckLHS.findFVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L27-L50","name":"Lean.Meta.casesOnStuckLHS.findFVar?","line":27,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS.findFVar?","doc":""},"Lean.Meta.casesOnStuckLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L20-L50","name":"Lean.Meta.casesOnStuckLHS","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS","doc":"Helper method for `proveCondEqThm`. Given a goal of the form `C.rec ... xMajor = rhs`,\napply `cases xMajor`. "},"Lean.Meta.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L265-L266","name":"Lean.Meta.cases","line":265,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.cases","doc":""},"Lean.Meta.caseValues.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L83-L102","name":"Lean.Meta.caseValues.loop","line":83,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValues.loop","doc":""},"Lean.Meta.caseValues":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L82-L103","name":"Lean.Meta.caseValues","line":82,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValues","doc":"Split goal `... |- C x` into values.size + 1 subgoals\n1) `..., (h_1 : x = value[0]) |- C value[0]`\n...\nn) `..., (h_n : x = value[n - 1]) |- C value[n - 1]`\nn+1) `..., (h_1 : x != value[0]) ... (h_n : x != value[n-1]) |- C x`\nwhere `n = values.size`\nwhere `fvarId` is `x`s id.\nThe type of `x` must have decidable equality.\n\nRemark: the last subgoal is for the \"else\" catchall case, and its `subst` is `{}`.\nRemark: the fiels `newHs` has size 1 forall but the last subgoal.\n\nIf `substNewEqs = true`, then the new `h_i` equality hypotheses are substituted in the first `n` cases.\n"},"Lean.Meta.caseValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L55-L59","name":"Lean.Meta.caseValue","line":55,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValue","doc":""},"Lean.Meta.caseArraySizes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseArraySizes.lean#L60-L87","name":"Lean.Meta.caseArraySizes","line":60,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.caseArraySizes","doc":"Split goal `... |- C a` into sizes.size + 1 subgoals\n1) `..., x_1 ... x_{sizes[0]} |- C #[x_1, ... x_{sizes[0]}]`\n...\nn) `..., x_1 ... x_{sizes[n-1]} |- C #[x_1, ..., x_{sizes[n-1]}]`\nn+1) `..., (h_1 : a.size != sizes[0]), ..., (h_n : a.size != sizes[n-1]) |- C a`\nwhere `n = sizes.size` "},"Lean.Meta.canUnfoldAtMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L390-L413","name":"Lean.Meta.canUnfoldAtMatcher","line":390,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.canUnfoldAtMatcher","doc":"The \"match\" compiler uses `if-then-else` expressions and other auxiliary declarations to compile match-expressions such as\n```\nmatch v with\n| 'a' => 1\n| 'b' => 2\n| _ => 3\n```\nbecause it is more efficient than using `casesOn` recursors.\nThe method `reduceMatcher?` fails if these auxiliary definitions (e.g., `ite`) cannot be unfolded in the current\ntransparency setting. This is problematic because tactics such as `simp` use `TransparencyMode.reducible`, and\nmost users assume that expressions such as\n```\nmatch 0 with\n| 0 => 1\n| 100 => 2\n| _ => 3\n```\nshould reduce in any transparency mode.\nThus, we define a custom `canUnfoldAtMatcher` predicate for `whnfMatcher`.\n\nThis solution is not very modular because modifications at the `match` compiler require changes here.\nWe claim this is defensible because it is reducing the auxiliary declaration defined by the `match` compiler.\n\nAlternative solution: tactics that use `TransparencyMode.reducible` should rely on the equations we generated for match-expressions.\nThis solution is also not perfect because the match-expression above will not reduce during type checking when we are not using\n`TransparencyMode.default` or `TransparencyMode.all`.\n"},"Lean.Meta.canUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/GetConst.lean#L22-L27","name":"Lean.Meta.canUnfold","line":22,"kind":"def","docLink":"./Lean/Meta/GetConst.html#Lean.Meta.canUnfold","doc":""},"Lean.Meta.auxLemmasExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/AuxLemma.lean#L15-L15","name":"Lean.Meta.auxLemmasExt","line":15,"kind":"opaque","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.auxLemmasExt","doc":""},"Lean.Meta.autoLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L35-L38","name":"Lean.Meta.autoLift","line":35,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.autoLift","doc":""},"Lean.Meta.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L29-L30","name":"Lean.Meta.assumptionCore","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumptionCore","doc":""},"Lean.Meta.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L38-L39","name":"Lean.Meta.assumption","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumption","doc":""},"Lean.Meta.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L113-L114","name":"Lean.Meta.assertHypotheses","line":113,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertHypotheses","doc":""},"Lean.Meta.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L63-L64","name":"Lean.Meta.assertExt","line":63,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertExt","doc":""},"Lean.Meta.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L87-L88","name":"Lean.Meta.assertAfter","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertAfter","doc":""},"Lean.Meta.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L26-L27","name":"Lean.Meta.assert","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assert","doc":""},"Lean.Meta.approxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1354-L1355","name":"Lean.Meta.approxDefEq","line":1354,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.approxDefEq","doc":"Execute `x` using approximate unification: `foApprox`, `ctxApprox` and `quasiPatternApprox`. "},"Lean.Meta.applySimpResultToTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L866-L873","name":"Lean.Meta.applySimpResultToTarget","line":866,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToTarget","doc":"Auxiliary method.\nGiven the current `target` of `mvarId`, apply `r` which is a new target and proof that it is equal to the current one.\n"},"Lean.Meta.applySimpResultToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L902-L915","name":"Lean.Meta.applySimpResultToProp","line":902,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToProp","doc":"Apply the result `r` for `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. Return `some (proof', prop')`\notherwise, where `proof' : prop'` and `prop'` is the simplified `prop`.\n\nThis method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.applySimpResultToLocalDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L931-L942","name":"Lean.Meta.applySimpResultToLocalDeclCore","line":931,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToLocalDeclCore","doc":""},"Lean.Meta.applySimpResultToLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L947-L957","name":"Lean.Meta.applySimpResultToLocalDecl","line":947,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToLocalDecl","doc":"Simplify `simp` result to the given local declaration. Return `none` if the goal was closed.\nThis method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. 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urceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L72-L112","name":"Lean.Meta.addPPExplicitToExposeDiff","line":72,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.addPPExplicitToExposeDiff","doc":"Given two expressions `a` and `b`, this method tries to annotate terms with `pp.explicit := true` to\nexpose \"implicit\" differences. For example, suppose `a` and `b` are of the form\n```lean\n@HashMap Nat Nat eqInst hasInst1\n@HashMap Nat Nat eqInst hasInst2\n```\nBy default, the pretty printer formats both of them as `HashMap Nat Nat`.\nSo, counterintuitive error messages such as\n```lean\nerror: application type mismatch\n HashMap.insert m\nargument\n m\nhas type\n HashMap Nat Nat\nbut is expected to have type\n HashMap Nat Nat\n```\nwould be produced.\nBy adding `pp.explicit := true`, we can generate the more informative error\n```lean\nerror: application type mismatch\n HashMap.insert m\nargument\n m\nhas type\n @HashMap Nat Nat eqInst hasInst1\nbut is expected to have type\n @HashMap Nat Nat eqInst hasInst2\n```\nRemark: this method implements a simple heuristic, we should extend it as we find other counterintuitive\nerror messages.\n"},"Lean.Meta.addInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L74-L77","name":"Lean.Meta.addInstanceEntry","line":74,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addInstanceEntry","doc":""},"Lean.Meta.addInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L190-L195","name":"Lean.Meta.addInstance","line":190,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addInstance","doc":""},"Lean.Meta.addImplicitTargets.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L75-L93","name":"Lean.Meta.addImplicitTargets.collect","line":75,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addImplicitTargets.collect","doc":""},"Lean.Meta.addImplicitTargets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L65-L93","name":"Lean.Meta.addImplicitTargets","line":65,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addImplicitTargets","doc":"Eliminators/recursors may have implicit targets. For builtin recursors, all indices are implicit targets.\nGiven an eliminator and the sequence of explicit targets, this methods returns a new sequence containing\nimplicit and explicit targets.\n"},"Lean.Meta.addGlobalInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/GlobalInstances.lean#L17-L18","name":"Lean.Meta.addGlobalInstance","line":17,"kind":"def","docLink":"./Lean/Meta/GlobalInstances.html#Lean.Meta.addGlobalInstance","doc":""},"Lean.Meta.addDefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L241-L245","name":"Lean.Meta.addDefaultInstanceEntry","line":241,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addDefaultInstanceEntry","doc":""},"Lean.Meta.addDefaultInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L253-L263","name":"Lean.Meta.addDefaultInstance","line":253,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addDefaultInstance","doc":""},"Lean.Meta.addCustomEliminatorEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L104-L106","name":"Lean.Meta.addCustomEliminatorEntry","line":104,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addCustomEliminatorEntry","doc":""},"Lean.Meta.addCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L139-L141","name":"Lean.Meta.addCustomEliminator","line":139,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addCustomEliminator","doc":""},"Lean.Meta.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L723-L724","name":"Lean.Meta.abstractRange","line":723,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.abstractRange","doc":""},"Lean.Meta.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AbstractNestedProofs.lean#L75-L76","name":"Lean.Meta.abstractNestedProofs","line":75,"kind":"def","docLink":"./Lean/Meta/AbstractNestedProofs.html#Lean.Meta.abstractNestedProofs","doc":"Replace proofs nested in `e` with new lemmas. The new lemmas have names of the form `mainDeclName.proof_` "},"Lean.Meta.abstractMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AbstractMVars.lean#L128-L134","name":"Lean.Meta.abstractMVars","line":128,"kind":"def","docLink":"./Lean/Meta/AbstractMVars.html#Lean.Meta.abstractMVars","doc":"Abstract (current depth) metavariables occurring in `e`.\nThe result contains\n- An array of universe level parameters that replaced universe metavariables occurring in `e`.\n- The number of (expr) metavariables abstracted.\n- And an expression of the form `fun (m_1 : A_1) ... (m_k : A_k) => e'`, where\n `k` equal to the number of (expr) metavariables abstracted, and `e'` is `e` after we\n replace the metavariables.\n\nExample: given `f.{?u} ?m1` where `?m1 : ?m2 Nat`, `?m2 : Type -> Type`. This function returns\n`{ levels := #[u], size := 2, expr := (fun (m2 : Type -> Type) (m1 : m2 Nat) => f.{u} m1) }`\n\nThis API can be used to \"transport\" to a different metavariable context.\nGiven a new metavariable context, we replace the `AbstractMVarsResult.levels` with\nnew fresh universe metavariables, and instantiate the `(m_i : A_i)` in the lambda-expression\nwith new fresh metavariables.\n\nApplication: we use this method to cache the results of type class resolution. 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"},"Lean.Meta.SynthInstance.mkGeneratorNode?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L225-L236","name":"Lean.Meta.SynthInstance.mkGeneratorNode?","line":225,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkGeneratorNode?","doc":""},"Lean.Meta.SynthInstance.mapMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L181-L182","name":"Lean.Meta.SynthInstance.mapMetaM","line":181,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mapMetaM","doc":""},"Lean.Meta.SynthInstance.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L577-L590","name":"Lean.Meta.SynthInstance.main","line":577,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.main","doc":""},"Lean.Meta.SynthInstance.isNewAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L367-L371","name":"Lean.Meta.SynthInstance.isNewAnswer","line":367,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.isNewAnswer","doc":""},"Lean.Meta.SynthInstance.instInhabitedSynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L184-L185","name":"Lean.Meta.SynthInstance.instInhabitedSynthM","line":184,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedSynthM","doc":""},"Lean.Meta.SynthInstance.instInhabitedInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L35-L35","name":"Lean.Meta.SynthInstance.instInhabitedInstance","line":35,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedInstance","doc":""},"Lean.Meta.SynthInstance.instInhabitedGeneratorNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L43-L43","name":"Lean.Meta.SynthInstance.instInhabitedGeneratorNode","line":43,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedGeneratorNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedConsumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L51-L51","name":"Lean.Meta.SynthInstance.instInhabitedConsumerNode","line":51,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedConsumerNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L153-L153","name":"Lean.Meta.SynthInstance.instInhabitedAnswer","line":153,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedAnswer","doc":""},"Lean.Meta.SynthInstance.getTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L503-L504","name":"Lean.Meta.SynthInstance.getTop","line":503,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getTop","doc":""},"Lean.Meta.SynthInstance.getSubgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L298-L320","name":"Lean.Meta.SynthInstance.getSubgoals","line":298,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getSubgoals","doc":"`getSubgoals lctx localInsts xs inst` creates the subgoals for the instance `inst`.\nThe subgoals are in the context of the free variables `xs`, and\n`(lctx, localInsts)` is the local context and instances before we added the free variables to it.\n\nThis extra complication is required because\n 1- We want all metavariables created by `synthInstance` to share the same local context.\n 2- We want to ensure that applications such as `mvar xs` are higher order patterns.\n\nThe method `getGoals` create a new metavariable for each parameter of `inst`.\nFor example, suppose the type of `inst` is `forall (x_1 : A_1) ... (x_n : A_n), B x_1 ... x_n`.\nThen, we create the metavariables `?m_i : forall xs, A_i`, and return the subset of these\nmetavariables that are instance implicit arguments, and the expressions:\n - `inst (?m_1 xs) ... (?m_n xs)` (aka `instVal`)\n - `B (?m_1 xs) ... (?m_n xs)` "},"Lean.Meta.SynthInstance.getResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L566-L567","name":"Lean.Meta.SynthInstance.getResult","line":566,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getResult","doc":""},"Lean.Meta.SynthInstance.getNextToResume":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L529-L532","name":"Lean.Meta.SynthInstance.getNextToResume","line":529,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getNextToResume","doc":""},"Lean.Meta.SynthInstance.getMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L29-L30","name":"Lean.Meta.SynthInstance.getMaxHeartbeats","line":29,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.getInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L188-L223","name":"Lean.Meta.SynthInstance.getInstances","line":188,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getInstances","doc":"Return globals and locals instances that may unify with `type` "},"Lean.Meta.SynthInstance.getEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L256-L259","name":"Lean.Meta.SynthInstance.getEntry","line":256,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getEntry","doc":""},"Lean.Meta.SynthInstance.generate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L510-L527","name":"Lean.Meta.SynthInstance.generate","line":510,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.generate","doc":"Try the next instance in the node on the top of the generator stack. "},"Lean.Meta.SynthInstance.findEntry?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L253-L254","name":"Lean.Meta.SynthInstance.findEntry?","line":253,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.findEntry?","doc":""},"Lean.Meta.SynthInstance.consume":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L454-L501","name":"Lean.Meta.SynthInstance.consume","line":454,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.consume","doc":"Process the next subgoal in the given consumer node. "},"Lean.Meta.SynthInstance.checkMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L178-L179","name":"Lean.Meta.SynthInstance.checkMaxHeartbeats","line":178,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.checkMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.addAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L385-L399","name":"Lean.Meta.SynthInstance.addAnswer","line":385,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.addAnswer","doc":"Create a new answer after `cNode` resolved all subgoals.\nThat is, `cNode.subgoals == []`.\nAnd then, store it in the tabled entries map, and wakeup waiters. "},"Lean.Meta.SynthInstance.Waiter.root":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L55-L55","name":"Lean.Meta.SynthInstance.Waiter.root","line":55,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.root","doc":""},"Lean.Meta.SynthInstance.Waiter.isRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L57-L59","name":"Lean.Meta.SynthInstance.Waiter.isRoot","line":57,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.isRoot","doc":""},"Lean.Meta.SynthInstance.Waiter.consumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L54-L54","name":"Lean.Meta.SynthInstance.Waiter.consumerNode","line":54,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.consumerNode","doc":""},"Lean.Meta.SynthInstance.Waiter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L53-L55","name":"Lean.Meta.SynthInstance.Waiter","line":53,"kind":"inductive","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter","doc":""},"Lean.Meta.SynthInstance.TableEntry.waiters":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L156-L156","name":"Lean.Meta.SynthInstance.TableEntry.waiters","line":156,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.waiters","doc":""},"Lean.Meta.SynthInstance.TableEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.TableEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.mk","doc":""},"Lean.Meta.SynthInstance.TableEntry.answers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L157-L157","name":"Lean.Meta.SynthInstance.TableEntry.answers","line":157,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.answers","doc":""},"Lean.Meta.SynthInstance.TableEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L155-L157","name":"Lean.Meta.SynthInstance.TableEntry","line":155,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry","doc":""},"Lean.Meta.SynthInstance.SynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L176-L176","name":"Lean.Meta.SynthInstance.SynthM","line":176,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SynthM","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.subgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L279-L279","name":"Lean.Meta.SynthInstance.SubgoalsResult.subgoals","line":279,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.subgoals","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.SubgoalsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.mk","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L280-L280","name":"Lean.Meta.SynthInstance.SubgoalsResult.instVal","line":280,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instVal","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L281-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","line":281,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L278-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult","line":278,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult","doc":"See `getSubgoals` and `getSubgoalsAux`\n\nWe use the parameter `j` to reduce the number of `instantiate*` invocations.\nIt is the same approach we use at `forallTelescope` and `lambdaTelescope`.\nGiven `getSubgoalsAux args j subgoals instVal type`,\nwe have that `type.instantiateRevRange j args.size args` does not have loose bound variables. 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The `simp` tactic also uses some of 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"},"Lean.Meta.PostponedEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.PostponedEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.mk","doc":""},"Lean.Meta.PostponedEntry.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L240-L240","name":"Lean.Meta.PostponedEntry.lhs","line":240,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.lhs","doc":""},"Lean.Meta.PostponedEntry.ctx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L243-L243","name":"Lean.Meta.PostponedEntry.ctx?","line":243,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.ctx?","doc":"Context for the surrounding `isDefEq` call when entry was created. "},"Lean.Meta.PostponedEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L237-L244","name":"Lean.Meta.PostponedEntry","line":237,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry","doc":"Auxiliary structure for representing postponed universe constraints.\nRemark: the fields `ref` and `rootDefEq?` are used for error message generation only.\nRemark: we may consider improving the error message generation in the future.\n"},"Lean.Meta.ParamInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.ParamInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.mk","doc":""},"Lean.Meta.ParamInfo.isStrictImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L158-L159","name":"Lean.Meta.ParamInfo.isStrictImplicit","line":158,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isStrictImplicit","doc":""},"Lean.Meta.ParamInfo.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L116-L116","name":"Lean.Meta.ParamInfo.isProp","line":116,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isProp","doc":"`isProp` is true if the parameter is always a proposition. "},"Lean.Meta.ParamInfo.isInstImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L155-L156","name":"Lean.Meta.ParamInfo.isInstImplicit","line":155,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isInstImplicit","doc":""},"Lean.Meta.ParamInfo.isImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L152-L153","name":"Lean.Meta.ParamInfo.isImplicit","line":152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isImplicit","doc":""},"Lean.Meta.ParamInfo.isExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L161-L162","name":"Lean.Meta.ParamInfo.isExplicit","line":161,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isExplicit","doc":""},"Lean.Meta.ParamInfo.isDecInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L121-L121","name":"Lean.Meta.ParamInfo.isDecInst","line":121,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isDecInst","doc":"`isDecInst` is true if the parameter's type is of the form `Decidable ...`.\nThis information affects the generation of congruence theorems.\n"},"Lean.Meta.ParamInfo.higherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L135-L135","name":"Lean.Meta.ParamInfo.higherOrderOutParam","line":135,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.higherOrderOutParam","doc":"`higherOrderOutParam` is true if this parameter is a higher-order output parameter\nof local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter `dom` because it is output parameter of\n`[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.hasFwdDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L112-L112","name":"Lean.Meta.ParamInfo.hasFwdDeps","line":112,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.hasFwdDeps","doc":"`hasFwdDeps` is true if there is another parameter whose type depends on this one. "},"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L149-L149","name":"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","line":149,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","doc":"`dependsOnHigherOrderOutParam` is true if the type of this parameter depends on\nthe higher-order output parameter of a previous local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter with type `dom xs i` since `dom` is an output parameter\nof the instance `[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L110-L110","name":"Lean.Meta.ParamInfo.binderInfo","line":110,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.binderInfo","doc":"The binder annotation for the parameter. "},"Lean.Meta.ParamInfo.backDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L114-L114","name":"Lean.Meta.ParamInfo.backDeps","line":114,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.backDeps","doc":"`backDeps` contains the backwards dependencies. That is, the (0-indexed) position of previous parameters that this one depends on. "},"Lean.Meta.ParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L108-L150","name":"Lean.Meta.ParamInfo","line":108,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo","doc":"Function parameter information cache.\n"},"Lean.Meta.Origin.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L29-L34","name":"Lean.Meta.Origin.stx","line":29,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.stx","doc":"A proof term provided directly to a call to `simp [ref, ...]` where `ref`\nis the provided simp argument (of kind `Parser.Tactic.simpLemma`).\nThe `id` is a unique identifier for the call.\n"},"Lean.Meta.Origin.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L35-L40","name":"Lean.Meta.Origin.other","line":35,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.other","doc":"Some other origin. `name` should not collide with the other types\nfor erasure to work correctly, and simp trace will ignore this lemma.\nThe other origins should be preferred if possible.\n"},"Lean.Meta.Origin.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L44-L48","name":"Lean.Meta.Origin.key","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.key","doc":"A unique identifier corresponding to the origin. "},"Lean.Meta.Origin.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L22-L28","name":"Lean.Meta.Origin.fvar","line":22,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.fvar","doc":"A local hypothesis.\nWhen `contextual := true` is enabled, this fvar may exist in an extension\nof the current local context; it will not be used for rewriting by simp once\nit is out of scope but it may end up in the `usedSimps` trace.\n"},"Lean.Meta.Origin.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L20-L21","name":"Lean.Meta.Origin.decl","line":20,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.decl","doc":"A global declaration in the environment. "},"Lean.Meta.Origin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L19-L41","name":"Lean.Meta.Origin","line":19,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin","doc":"An `Origin` is an identifier for simp theorems which indicates roughly\nwhat action the user took which lead to this theorem existing in the simp set.\n"},"Lean.Meta.MetaM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L331-L333","name":"Lean.Meta.MetaM.toIO","line":331,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.toIO","doc":""},"Lean.Meta.MetaM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L328-L329","name":"Lean.Meta.MetaM.run'","line":328,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run'","doc":""},"Lean.Meta.MetaM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L325-L326","name":"Lean.Meta.MetaM.run","line":325,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run","doc":""},"Lean.Meta.MetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L289-L289","name":"Lean.Meta.MetaM","line":289,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM","doc":""},"Lean.Meta.MatcherApp.uElimPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L133-L133","name":"Lean.Meta.MatcherApp.uElimPos?","line":133,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.uElimPos?","doc":""},"Lean.Meta.MatcherApp.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L164-L169","name":"Lean.Meta.MatcherApp.toExpr","line":164,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.toExpr","doc":""},"Lean.Meta.MatcherApp.remaining":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L139-L139","name":"Lean.Meta.MatcherApp.remaining","line":139,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.remaining","doc":""},"Lean.Meta.MatcherApp.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L134-L134","name":"Lean.Meta.MatcherApp.params","line":134,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.params","doc":""},"Lean.Meta.MatcherApp.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L135-L135","name":"Lean.Meta.MatcherApp.motive","line":135,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.motive","doc":""},"Lean.Meta.MatcherApp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.MatcherApp.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.mk","doc":""},"Lean.Meta.MatcherApp.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L131-L131","name":"Lean.Meta.MatcherApp.matcherName","line":131,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherName","doc":""},"Lean.Meta.MatcherApp.matcherLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L132-L132","name":"Lean.Meta.MatcherApp.matcherLevels","line":132,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherLevels","doc":""},"Lean.Meta.MatcherApp.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L136-L136","name":"Lean.Meta.MatcherApp.discrs","line":136,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.discrs","doc":""},"Lean.Meta.MatcherApp.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L138-L138","name":"Lean.Meta.MatcherApp.alts","line":138,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.alts","doc":""},"Lean.Meta.MatcherApp.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L137-L137","name":"Lean.Meta.MatcherApp.altNumParams","line":137,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.altNumParams","doc":""},"Lean.Meta.MatcherApp.addArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L955-L959","name":"Lean.Meta.MatcherApp.addArg?","line":955,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg?","doc":"Similar `MatcherApp.addArg?`, but returns `none` on failure. "},"Lean.Meta.MatcherApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L919-L952","name":"Lean.Meta.MatcherApp.addArg","line":919,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg","doc":"Given\n- matcherApp `match_i As (fun xs => motive[xs]) discrs (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... (fun ys_n => (alt_n : motive (C_n[ys_n]) remaining`, and\n- expression `e : B[discrs]`,\nConstruct the term\n`match_i As (fun xs => B[xs] -> motive[xs]) discrs (fun ys_1 (y : B[C_1[ys_1]]) => alt_1) ... (fun ys_n (y : B[C_n[ys_n]]) => alt_n) e remaining`, and\nWe use `kabstract` to abstract the discriminants from `B[discrs]`.\nThis method assumes\n- the `matcherApp.motive` is a lambda abstraction where `xs.size == discrs.size`\n- each alternative is a lambda abstraction where `ys_i.size == matcherApp.altNumParams[i]`\n"},"Lean.Meta.MatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L130-L139","name":"Lean.Meta.MatcherApp","line":130,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp","doc":""},"Lean.Meta.Match.withMkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L879-L887","name":"Lean.Meta.Match.withMkMatcherInput","line":879,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withMkMatcherInput","doc":"This function is only used for testing purposes "},"Lean.Meta.Match.withGoalOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L299-L300","name":"Lean.Meta.Match.withGoalOf","line":299,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.withGoalOf","doc":""},"Lean.Meta.Match.withCleanLCtxFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L736-L742","name":"Lean.Meta.Match.withCleanLCtxFor","line":736,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withCleanLCtxFor","doc":"Auxiliary method used at `mkMatcher`. It executes `k` in a local context that contains only\nthe local declarations `m` depends on. This is important because otherwise dependent elimination\nmay \"refine\" the types of unnecessary declarations and accidentally introduce unnecessary dependencies\nin the auto-generated auxiliary declaration. Note that this is not just an optimization because the\nunnecessary dependencies may prevent the termination checker from succeeding. For an example,\nsee issue #1237.\n"},"Lean.Meta.Match.unfoldNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L57-L63","name":"Lean.Meta.Match.unfoldNamedPattern","line":57,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.unfoldNamedPattern","doc":""},"Lean.Meta.Match.toPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L332-L360","name":"Lean.Meta.Match.toPattern","line":332,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.toPattern","doc":"Convert a expression occurring as the argument of a `match` motive application back into a `Pattern`\nFor example, we can use this method to convert `x::y::xs` at\n```\n...\n(motive : List Nat → Sort u_1) (xs : List Nat) (h_1 : (x y : Nat) → (xs : List Nat) → motive (x :: y :: xs))\n...\n```\ninto a pattern object\n"},"Lean.Meta.Match.registerMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L27-L28","name":"Lean.Meta.Match.registerMatchEqns","line":27,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.registerMatchEqns","doc":""},"Lean.Meta.Match.proveCondEqThm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L299-L323","name":"Lean.Meta.Match.proveCondEqThm.go","line":299,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm.go","doc":""},"Lean.Meta.Match.proveCondEqThm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L290-L323","name":"Lean.Meta.Match.proveCondEqThm","line":290,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm","doc":"Helper method for proving a conditional equational theorem associated with an alternative of\nthe `match`-eliminator `matchDeclName`. `type` contains the type of the theorem. "},"Lean.Meta.Match.processInaccessibleAsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L373-L390","name":"Lean.Meta.Match.processInaccessibleAsCtor","line":373,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.processInaccessibleAsCtor","doc":"Given `alt` s.t. the next pattern is an inaccessible pattern `e`,\ntry to normalize `e` into a constructor application.\nIf it is not a constructor, throw an error.\nOtherwise, if it is a constructor application of `ctorName`,\nupdate the next patterns with the fields of the constructor.\nOtherwise, return none. "},"Lean.Meta.Match.mkNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L13-L14","name":"Lean.Meta.Match.mkNamedPattern","line":13,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.mkNamedPattern","doc":""},"Lean.Meta.Match.mkMatcherAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L682-L708","name":"Lean.Meta.Match.mkMatcherAuxDefinition","line":682,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcherAuxDefinition","doc":"Similar to `mkAuxDefinition`, but uses the cache `matcherExt`.\nIt also returns an Boolean that indicates whether a new matcher function was added to the environment or not. "},"Lean.Meta.Match.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L753-L846","name":"Lean.Meta.Match.mkMatcher","line":753,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcher","doc":"Create a dependent matcher for `matchType` where `matchType` is of the form\n`(a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> B[a_1, ..., a_n]`\nwhere `n = numDiscrs`, and the `lhss` are the left-hand-sides of the `match`-expression alternatives.\nEach `AltLHS` has a list of local declarations and a list of patterns.\nThe number of patterns must be the same in each `AltLHS`.\nThe generated matcher has the structure described at `MatcherInfo`. The motive argument is of the form\n`(motive : (a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> Sort v)`\nwhere `v` is a universe parameter or 0 if `B[a_1, ..., a_n]` is a proposition. "},"Lean.Meta.Match.matcherExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L678-L678","name":"Lean.Meta.Match.matcherExt","line":678,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.matcherExt","doc":""},"Lean.Meta.Match.matchEqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L24-L25","name":"Lean.Meta.Match.matchEqnsExt","line":24,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.matchEqnsExt","doc":""},"Lean.Meta.Match.isNamedPattern?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L20-L25","name":"Lean.Meta.Match.isNamedPattern?","line":20,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern?","doc":""},"Lean.Meta.Match.isNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L16-L18","name":"Lean.Meta.Match.isNamedPattern","line":16,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern","doc":""},"Lean.Meta.Match.isCurrVarInductive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L603-L608","name":"Lean.Meta.Match.isCurrVarInductive","line":603,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.isCurrVarInductive","doc":""},"Lean.Meta.Match.instantiatePatternMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L111-L117","name":"Lean.Meta.Match.instantiatePatternMVars","line":111,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiatePatternMVars","doc":""},"Lean.Meta.Match.instantiateAltLHSMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L128-L132","name":"Lean.Meta.Match.instantiateAltLHSMVars","line":128,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiateAltLHSMVars","doc":""},"Lean.Meta.Match.instReprMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instReprMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instReprMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedProblem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L297-L297","name":"Lean.Meta.Match.instInhabitedProblem","line":297,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedProblem","doc":""},"Lean.Meta.Match.instInhabitedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L34-L34","name":"Lean.Meta.Match.instInhabitedPattern","line":34,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedPattern","doc":""},"Lean.Meta.Match.instInhabitedMatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L21-L21","name":"Lean.Meta.Match.instInhabitedMatchEqnsExtState","line":21,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqnsExtState","doc":""},"Lean.Meta.Match.instInhabitedMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedDiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedDiscrInfo","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.instInhabitedDiscrInfo","doc":""},"Lean.Meta.Match.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L162-L162","name":"Lean.Meta.Match.instInhabitedAlt","line":162,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedAlt","doc":""},"Lean.Meta.Match.getNumEqsFromDiscrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L56-L61","name":"Lean.Meta.Match.getNumEqsFromDiscrInfos","line":56,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.getNumEqsFromDiscrInfos","doc":""},"Lean.Meta.Match.getMkMatcherInputInContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L848-L876","name":"Lean.Meta.Match.getMkMatcherInputInContext","line":848,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.getMkMatcherInputInContext","doc":""},"Lean.Meta.Match.getEquationsForImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L698-L701","name":"Lean.Meta.Match.getEquationsForImpl","line":698,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.getEquationsForImpl","doc":""},"Lean.Meta.Match.getEquationsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L34-L34","name":"Lean.Meta.Match.getEquationsFor","line":34,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.getEquationsFor","doc":""},"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L126-L131","name":"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","line":126,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","doc":""},"Lean.Meta.Match.forallAltTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L88-L124","name":"Lean.Meta.Match.forallAltTelescope.go","line":88,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.go","doc":""},"Lean.Meta.Match.forallAltTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L83-L131","name":"Lean.Meta.Match.forallAltTelescope","line":83,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope","doc":"Similar to `forallTelescopeReducing`, but\n\n1. Eliminates arguments for named parameters and the associated equation proofs.\n\n2. Equality parameters associated with the `h : discr` notation are replaced with `rfl` proofs.\n Recall that this kind of parameter always occurs after the parameters correspoting to pattern variables.\n `numNonEqParams` is the size of the prefix.\n\nThe continuation `k` takes four arguments `ys args mask type`.\n- `ys` are variables for the hypotheses that have not been eliminated.\n- `eqs` are variables for equality hypotheses associated with discriminants annotated with `h : discr`.\n- `args` are the arguments for the alternative `alt` that has type `altType`. `ys.size <= args.size`\n- `mask[i]` is true if the hypotheses has not been eliminated. `mask.size == args.size`.\n- `type` is the resulting type for `altType`.\n\nWe use the `mask` to build the splitter proof. See `mkSplitterProof`.\n"},"Lean.Meta.Match.examplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L289-L290","name":"Lean.Meta.Match.examplesToMessageData","line":289,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.examplesToMessageData","doc":""},"Lean.Meta.Match.counterExamplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L313-L314","name":"Lean.Meta.Match.counterExamplesToMessageData","line":313,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExamplesToMessageData","doc":""},"Lean.Meta.Match.counterExampleToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L310-L311","name":"Lean.Meta.Match.counterExampleToMessageData","line":310,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExampleToMessageData","doc":""},"Lean.Meta.Match.bootstrap.genMatcherCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L672-L676","name":"Lean.Meta.Match.bootstrap.genMatcherCode","line":672,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.bootstrap.genMatcherCode","doc":""},"Lean.Meta.Match.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L94-L95","name":"Lean.Meta.Match.addMatcherInfo","line":94,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.addMatcherInfo","doc":""},"Lean.Meta.Match.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L67-L67","name":"Lean.Meta.Match.State.used","line":67,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.used","doc":""},"Lean.Meta.Match.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.mk","doc":""},"Lean.Meta.Match.State.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L68-L68","name":"Lean.Meta.Match.State.counterExamples","line":68,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.counterExamples","doc":""},"Lean.Meta.Match.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L66-L68","name":"Lean.Meta.Match.State","line":66,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State","doc":""},"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L187-L196","name":"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","line":187,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","doc":"Auxiliary tactic that tries to replace as many variables as possible and then apply `contradiction`.\nWe use it to discard redundant hypotheses.\n"},"Lean.Meta.Match.SimpH.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L241-L247","name":"Lean.Meta.Match.SimpH.go","line":241,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.go","doc":""},"Lean.Meta.Match.SimpH.State.xs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L147-L147","name":"Lean.Meta.Match.SimpH.State.xs","line":147,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.xs","doc":""},"Lean.Meta.Match.SimpH.State.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L146-L146","name":"Lean.Meta.Match.SimpH.State.mvarId","line":146,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mvarId","doc":""},"Lean.Meta.Match.SimpH.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L1-L1","name":"Lean.Meta.Match.SimpH.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mk","doc":""},"Lean.Meta.Match.SimpH.State.eqsNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L149-L149","name":"Lean.Meta.Match.SimpH.State.eqsNew","line":149,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqsNew","doc":""},"Lean.Meta.Match.SimpH.State.eqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L148-L148","name":"Lean.Meta.Match.SimpH.State.eqs","line":148,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqs","doc":""},"Lean.Meta.Match.SimpH.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L145-L149","name":"Lean.Meta.Match.SimpH.State","line":145,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State","doc":"State for the equational theorem hypothesis simplifier.\n\nRecall that each equation contains additional hypotheses to ensure the associated case does not taken by previous cases.\nWe have one hypothesis for each previous case.\n\nEach hypothesis is of the form `forall xs, eqs → False`\n\nWe use tactics to minimize code duplication.\n"},"Lean.Meta.Match.SimpH.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L151-L151","name":"Lean.Meta.Match.SimpH.M","line":151,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.M","doc":""},"Lean.Meta.Match.Problem.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L294-L294","name":"Lean.Meta.Match.Problem.vars","line":294,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.vars","doc":""},"Lean.Meta.Match.Problem.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L302-L306","name":"Lean.Meta.Match.Problem.toMessageData","line":302,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.toMessageData","doc":""},"Lean.Meta.Match.Problem.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L293-L293","name":"Lean.Meta.Match.Problem.mvarId","line":293,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mvarId","doc":""},"Lean.Meta.Match.Problem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Problem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mk","doc":""},"Lean.Meta.Match.Problem.examples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L296-L296","name":"Lean.Meta.Match.Problem.examples","line":296,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.examples","doc":""},"Lean.Meta.Match.Problem.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L295-L295","name":"Lean.Meta.Match.Problem.alts","line":295,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.alts","doc":""},"Lean.Meta.Match.Problem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L292-L297","name":"Lean.Meta.Match.Problem","line":292,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem","doc":""},"Lean.Meta.Match.Pattern.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L29-L29","name":"Lean.Meta.Match.Pattern.var","line":29,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.var","doc":""},"Lean.Meta.Match.Pattern.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L31-L31","name":"Lean.Meta.Match.Pattern.val","line":31,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.val","doc":""},"Lean.Meta.Match.Pattern.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L38-L45","name":"Lean.Meta.Match.Pattern.toMessageData","line":38,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toMessageData","doc":""},"Lean.Meta.Match.Pattern.toExpr.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L50-L70","name":"Lean.Meta.Match.Pattern.toExpr.visit","line":50,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr.visit","doc":""},"Lean.Meta.Match.Pattern.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L47-L70","name":"Lean.Meta.Match.Pattern.toExpr","line":47,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr","doc":""},"Lean.Meta.Match.Pattern.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L85-L87","name":"Lean.Meta.Match.Pattern.replaceFVarId","line":85,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.replaceFVarId","doc":""},"Lean.Meta.Match.Pattern.inaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L28-L28","name":"Lean.Meta.Match.Pattern.inaccessible","line":28,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.inaccessible","doc":""},"Lean.Meta.Match.Pattern.hasExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L89-L95","name":"Lean.Meta.Matc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the free variable substitution `s` to the given pattern "},"Lean.Meta.Match.Pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L27-L34","name":"Lean.Meta.Match.Pattern","line":27,"kind":"inductive","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern","doc":""},"Lean.Meta.Match.MkMatcherInput.numDiscrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L716-L717","name":"Lean.Meta.Match.MkMatcherInput.numDiscrs","line":716,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.numDiscrs","doc":""},"Lean.Meta.Match.MkMatcherInput.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.MkMatcherInput.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.mk","doc":""},"Lean.Meta.Match.MkMatcherInput.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L711-L711","name":"Lean.Meta.Match.MkMatcherInput.matcherName","line":711,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matcherName","doc":""},"Lean.Meta.Match.MkMatcherInput.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L712-L712","name":"Lean.Meta.Match.MkMatcherInput.matchType","line":712,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matchType","doc":""},"Lean.Meta.Match.MkMatcherInput.lhss":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L714-L714","name":"Lean.Meta.Match.MkMatcherInput.lhss","line":714,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.lhss","doc":""},"Lean.Meta.Match.MkMatcherInput.discrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L713-L713","name":"Lean.Meta.Match.MkMatcherInput.discrInfos","line":713,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.discrInfos","doc":""},"Lean.Meta.Match.MkMatcherInput.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L719-L721","name":"Lean.Meta.Match.MkMatcherInput.collectFVars","line":719,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectFVars","doc":""},"Lean.Meta.Match.MkMatcherInput.collectDependencies":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L723-L726","name":"Lean.Meta.Match.MkMatcherInput.collectDependencies","line":723,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectDependencies","doc":""},"Lean.Meta.Match.MkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L710-L714","name":"Lean.Meta.Match.MkMatcherInput","line":710,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput","doc":""},"Lean.Meta.Match.MatcherResult.unusedAltIdxs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L319-L319","name":"Lean.Meta.Match.MatcherResult.unusedAltIdxs","line":319,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.unusedAltIdxs","doc":""},"Lean.Meta.Match.MatcherResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.MatcherResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.mk","doc":""},"Lean.Meta.Match.MatcherResult.matcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L317-L317","name":"Lean.Meta.Match.MatcherResult.matcher","line":317,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.matcher","doc":""},"Lean.Meta.Match.MatcherResult.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L318-L318","name":"Lean.Meta.Match.MatcherResult.counterExamples","line":318,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.counterExamples","doc":""},"Lean.Meta.Match.MatcherResult.addMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L320-L320","name":"Lean.Meta.Matc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= { hName? := some h }` if the i-th discriminant was annotated with `h :`.\n"},"Lean.Meta.Match.MatcherInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L38-L39","name":"Lean.Meta.Match.MatcherInfo.arity","line":38,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.arity","doc":""},"Lean.Meta.Match.MatcherInfo.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L28-L28","name":"Lean.Meta.Match.MatcherInfo.altNumParams","line":28,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.altNumParams","doc":""},"Lean.Meta.Match.MatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L25-L33","name":"Lean.Meta.Match.MatcherInfo","line":25,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo","doc":"A \"matcher\" auxiliary declaration has the following structure:\n- `numParams` parameters\n- motive\n- `numDiscrs` discriminators (aka major premises)\n- `altNumParams.size` alternatives (aka minor premises) where alternative `i` has `altNumParams[i]` parameters\n- `uElimPos?` is `some pos` when the matcher can eliminate in different universe levels, and\n `pos` is the position of the universe level parameter that specifies the elimination universe.\n It is `none` if the matcher only eliminates into `Prop`. "},"Lean.Meta.Match.MatchEqnsExtState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqnsExtState.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.mk","doc":""},"Lean.Meta.Match.MatchEqnsExtState.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L20-L20","name":"Lean.Meta.Match.MatchEqnsExtState.map","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.map","doc":""},"Lean.Meta.Match.MatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L19-L21","name":"Lean.Meta.Match.MatchEqnsExtState","line":19,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState","doc":""},"Lean.Meta.Match.MatchEqns.splitterName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L12-L12","name":"Lean.Meta.Match.MatchEqns.splitterName","line":12,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterName","doc":""},"Lean.Meta.Match.MatchEqns.splitterAltNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L13-L13","name":"Lean.Meta.Match.MatchEqns.splitterAltNumParams","line":13,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterAltNumParams","doc":""},"Lean.Meta.Match.MatchEqns.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L16-L17","name":"Lean.Meta.Match.MatchEqns.size","line":16,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.size","doc":""},"Lean.Meta.Match.MatchEqns.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqns.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.mk","doc":""},"Lean.Meta.Match.MatchEqns.eqnNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L11-L11","name":"Lean.Meta.Match.MatchEqns.eqnNames","line":11,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.eqnNames","doc":""},"Lean.Meta.Match.MatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L10-L14","name":"Lean.Meta.Match.MatchEqns","line":10,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns","doc":""},"Lean.Meta.Match.InjectionAnyResult.subgoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L340-L340","name":"Lean.Meta.Match.InjectionAnyResult.subgoal","line":340,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.subgoal","doc":""},"Lean.Meta.Match.InjectionAnyResult.solved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L338-L338","name":"Lean.Meta.Match.InjectionAnyResult.solved","line":338,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.solved","doc":""},"Lean.Meta.Match.InjectionAnyResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L339-L339","name":"Lean.Meta.Match.InjectionAnyResult.failed","line":339,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.failed","doc":""},"Lean.Meta.Match.InjectionAnyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L337-L340","name":"Lean.Meta.Match.InjectionAnyResult","line":337,"kind":"inductive","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult","doc":""},"Lean.Meta.Match.Extension.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L75-L75","name":"Lean.Meta.Match.Extension.instInhabitedState","line":75,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.instInhabitedState","doc":""},"Lean.Meta.Match.Extension.getMatcherInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L89-L90","name":"Lean.Meta.Match.Extension.getMatcherInfo?","line":89,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.getMatcherInfo?","doc":""},"Lean.Meta.Match.Extension.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L80-L84","name":"Lean.Meta.Match.Extension.extension","line":80,"kind":"opaque","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.extension","doc":""},"Lean.Meta.Match.Extension.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L86-L87","name":"Lean.Meta.Match.Extension.addMatcherInfo","line":86,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.addMatcherInfo","doc":""},"Lean.Meta.Match.Extension.State.switch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L78-L78","name":"Lean.Meta.Match.Extension.State.switch","line":78,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.switch","doc":""},"Lean.Meta.Match.Extension.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.mk","doc":""},"Lean.Meta.Match.Extension.State.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L73-L73","name":"Lean.Meta.Match.Extension.State.map","line":73,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.map","doc":""},"Lean.Meta.Match.Extension.State.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L77-L77","name":"Lean.Meta.Match.Extension.State.addEntry","line":77,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.addEntry","doc":""},"Lean.Meta.Match.Extension.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L72-L73","name":"Lean.Meta.Match.Extension.State","line":72,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State","doc":""},"Lean.Meta.Match.Extension.Entry.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L69-L69","name":"Lean.Meta.Match.Extension.Entry.name","line":69,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.name","doc":""},"Lean.Meta.Match.Extension.Entry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.Entry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.mk","doc":""},"Lean.Meta.Match.Extension.Entry.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L70-L70","name":"Lean.Meta.Match.Extension.Entry.info","line":70,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.info","doc":""},"Lean.Meta.Match.Extension.Entry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L68-L70","name":"Lean.Meta.Match.Extension.Entry","line":68,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry","doc":""},"Lean.Meta.Match.Example.varsToUnderscore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L273-L277","name":"Lean.Meta.Match.Example.varsToUnderscore","line":273,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.varsToUnderscore","doc":""},"Lean.Meta.Match.Example.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L250-L250","name":"Lean.Meta.Match.Example.var","line":250,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.var","doc":""},"Lean.Meta.Match.Example.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L253-L253","name":"Lean.Meta.Match.Example.val","line":253,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.val","doc":""},"Lean.Meta.Match.Exampl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h` if the discriminant is annotated with `h:` "},"Lean.Meta.Match.DiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L11-L14","name":"Lean.Meta.Match.DiscrInfo","line":11,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.DiscrInfo","doc":""},"Lean.Meta.Match.CounterExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L308-L308","name":"Lean.Meta.Match.CounterExample","line":308,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.CounterExample","doc":""},"Lean.Meta.Match.AltLHS.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L120-L120","name":"Lean.Meta.Match.AltLHS.ref","line":120,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.ref","doc":""},"Lean.Meta.Match.AltLHS.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L122-L122","name":"Lean.Meta.Match.AltLHS.patterns","line":122,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.patterns","doc":""},"Lean.Meta.Match.AltLHS.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.AltLHS.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.mk","doc":""},"Lean.Meta.Match.AltLHS.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L121-L121","name":"Lean.Meta.Match.AltLHS.fvarDecls","line":121,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.fvarDecls","doc":""},"Lean.Meta.Match.AltLHS.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L124-L126","name":"Lean.Meta.Match.AltLHS.collectFVars","line":124,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.collectFVars","doc":""},"Lean.Meta.Match.AltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L119-L122","name":"Lean.Meta.Match.AltLHS","line":119,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS","doc":""},"Lean.Meta.Match.Alt.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L166-L172","name":"Lean.Meta.Match.Alt.toMessageData","line":166,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.toMessageData","doc":""},"Lean.Meta.Match.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L146-L146","name":"Lean.Meta.Match.Alt.rhs","line":146,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.rhs","doc":"Right-hand-side of the alternative.\n"},"Lean.Meta.Match.Alt.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L181-L188","name":"Lean.Meta.Match.Alt.replaceFVarId","line":181,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.replaceFVarId","doc":""},"Lean.Meta.Match.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L137-L137","name":"Lean.Meta.Match.Alt.ref","line":137,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.ref","doc":"`Syntax` object for providing position information "},"Lean.Meta.Match.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L154-L154","name":"Lean.Meta.Match.Alt.patterns","line":154,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.patterns","doc":"Alternative patterns.\n"},"Lean.Meta.Match.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Alt.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.mk","doc":""},"Lean.Meta.Match.Alt.isLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L191-L192","name":"Lean.Meta.Match.Alt.isLocalDecl","line":191,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.isLocalDecl","doc":"Return `true` if `fvarId` is one of the alternative pattern variables "},"Lean.Meta.Match.Alt.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L142-L142","name":"Lean.Meta.Match.Alt.idx","line":142,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.idx","doc":"Orginal alternative index. Alternatives can be split, this index is the original\nposition of the alternative that generated this one.\n"},"Lean.Meta.Match.Alt.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L150-L150","name":"Lean.Meta.Match.Alt.fvarDecls","line":150,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.fvarDecls","doc":"Alternative pattern variables.\n"},"Lean.Meta.Match.Alt.cnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L161-L161","name":"Lean.Meta.Match.Alt.cnstrs","line":161,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.cnstrs","doc":"Pending constraints `lhs ≋ rhs` that need to be solved before the alternative\nis considered acceptable. We generate them when processing inaccessible patterns.\nNote that `lhs` and `rhs` often have different types.\nAfter we perform additional case analysis, their types become definitionally equal.\n"},"Lean.Meta.Match.Alt.checkAndReplaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L236-L245","name":"Lean.Meta.Match.Alt.checkAndReplaceFVarId","line":236,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.checkAndReplaceFVarId","doc":"Similar to `checkAndReplaceFVarId`, but ensures type of `v` is definitionally equal to type of `fvarId`.\n This extra check is necessary when performing dependent elimination and inaccessible terms have been used.\n For example, consider the following code fragment:\n\n```\ninductive Vec (α : Type u) : Nat → Type u where\n | nil : Vec α 0\n | cons {n} (head : α) (tail : Vec α n) : Vec α (n+1)\n\ninductive VecPred {α : Type u} (P : α → Prop) : {n : Nat} → Vec α n → Prop where\n | nil : VecPred P Vec.nil\n | cons {n : Nat} {head : α} {tail : Vec α n} : P head → VecPred P tail → VecPred P (Vec.cons head tail)\n\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head _, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nRecall that `_` in a pattern can be elaborated into pattern variable or an inaccessible term.\nThe elaborator uses an inaccessible term when typing constraints restrict its value.\nThus, in the example above, the `_` at `Vec.cons head _` becomes the inaccessible pattern `.(Vec.nil)`\nbecause the type ascription `(w : VecPred P Vec.nil)` propagates typing constraints that restrict its value to be `Vec.nil`.\nAfter elaboration the alternative becomes:\n```\n | .(0), @Vec.cons .(α) .(0) head .(Vec.nil), @VecPred.cons .(α) .(P) .(0) .(head) .(Vec.nil) h w => ⟨head, h⟩\n```\nwhere\n```\n(head : α), (h: P head), (w : VecPred P Vec.nil)\n```\nThen, when we process this alternative in this module, the following check will detect that\n`w` has type `VecPred P Vec.nil`, when it is supposed to have type `VecPred P tail`.\nNote that if we had written\n```\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head Vec.nil, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nwe would get the easier to digest error message\n```\nmissing cases:\n_, (Vec.cons _ _ (Vec.cons _ _ _)), _\n```\n"},"Lean.Meta.Match.Alt.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L174-L179","name":"Lean.Meta.Match.Alt.applyFVarSubst","line":174,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.applyFVarSubst","doc":""},"Lean.Meta.Match.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L135-L162","name":"Lean.Meta.Match.Alt","line":135,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt","doc":"`Match` alternative "},"Lean.Meta.Linear.solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L248-L265","name":"Lean.Meta.Linear.solve","line":248,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.solve","doc":""},"Lean.Meta.Linear.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Simp.lean#L16-L24","name":"Lean.Meta.Linear.simp?","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Simp.html#Lean.Meta.Linear.simp?","doc":""},"Lean.Meta.Linear.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L219-L246","name":"Lean.Meta.Linear.resolve","line":219,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.resolve","doc":""},"Lean.Meta.Linear.pickAssignment?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L207-L217","name":"Lean.Meta.Linear.pickAssignment?","line":207,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.pickAssignment?","doc":""},"Lean.Meta.Linear.isLinearTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Basic.lean#L11-L17","name":"Lean.Meta.Linear.isLinearTerm","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Basic.html#Lean.Meta.Linear.isLinearTerm","doc":"Quick filter for linear terms. 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In order to change the type and the pattern to be type correct, we don't\nsimply recursively change all occurrences, but rather, we recursively change occurences of the constructor.\nAs such there are only a few cases:\n- the pattern is a constructor from the original type. Here we need to:\n - replace the constructor\n - copy original recursive patterns and convert them to below and reintroduce them in the correct position\n - turn original recursive patterns inaccessible\n - introduce free variables as needed.\n- it is an `as` pattern. Here the contstructor could be hidden inside of it.\n- it is a variable. 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,"Lean.Meta.DiscrTree.insertCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L437-L447","name":"Lean.Meta.DiscrTree.insertCore","line":437,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.insertCore","doc":""},"Lean.Meta.DiscrTree.insert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L449-L451","name":"Lean.Meta.DiscrTree.insert","line":449,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.insert","doc":""},"Lean.Meta.DiscrTree.hasNoindexAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L247-L248","name":"Lean.Meta.DiscrTree.hasNoindexAnnotation","line":247,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.hasNoindexAnnotation","doc":""},"Lean.Meta.DiscrTree.getUnify.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L647-L677","name":"Lean.Meta.DiscrTree.getUnify.process","line":647,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getUnify.process","doc":""},"Lean.Meta.DiscrTree.getUnify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L636-L677","name":"Lean.Meta.DiscrTree.getUnify","line":636,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getUnify","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L617-L627","name":"Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix","line":617,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L629-L634","name":"Lean.Meta.DiscrTree.getMatchWithExtra.go","line":629,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra.go","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L607-L634","name":"Lean.Meta.DiscrTree.getMatchWithExtra","line":607,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra","doc":"Similar to `getMatch`, but returns solutions that are prefixes of `e`.\nWe store the number of ignored arguments in the result."},"Lean.Meta.DiscrTree.getMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L601-L602","name":"Lean.Meta.DiscrTree.getMatch","line":601,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatch","doc":"Find values that match `e` in `d`.\n"},"Lean.Meta.DiscrTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L100-L105","name":"Lean.Meta.DiscrTree.format","line":100,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.format","doc":""},"Lean.Meta.DiscrTree.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L91-L91","name":"Lean.Meta.DiscrTree.empty","line":91,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.empty","doc":""},"Lean.Meta.DiscrTree.Trie.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L41-L41","name":"Lean.Meta.DiscrTree.Trie.node","line":41,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie.node","doc":""},"Lean.Meta.DiscrTree.Trie.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L93-L96","name":"Lean.Meta.DiscrTree.Trie.format","line":93,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Trie.format","doc":""},"Lean.Meta.DiscrTree.Trie":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L40-L41","name":"Lean.Meta.DiscrTree.Trie","line":40,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie","doc":"Discrimination tree trie. See `DiscrTree`.\n"},"Lean.Meta.DiscrTree.Key.star":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L20-L20","name":"Lean.Meta.DiscrTree.Key.star","line":20,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.star","doc":""},"Lean.Meta.DiscrTree.Key.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L23-L23","name":"Lean.Meta.DiscrTree.Key.proj","line":23,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.proj","doc":""},"Lean.Meta.DiscrTree.Key.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L21-L21","name":"Lean.Meta.DiscrTree.Key.other","line":21,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.other","doc":""},"Lean.Meta.DiscrTree.Key.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L60-L65","name":"Lean.Meta.DiscrTree.Key.lt","line":60,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.lt","doc":""},"Lean.Meta.DiscrTree.Key.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L19-L19","name":"Lean.Meta.DiscrTree.Key.lit","line":19,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.lit","doc":""},"Lean.Meta.DiscrTree.Key.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L26-L33","name":"Lean.Meta.DiscrTree.Key.hash","line":26,"kind":"def","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.hash","doc":""},"Lean.Meta.DiscrTree.Key.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L18-L18","name":"Lean.Meta.DiscrTree.Key.fvar","line":18,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.fvar","doc":""},"Lean.Meta.DiscrTree.Key.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L70-L78","name":"Lean.Meta.DiscrTree.Key.format","line":70,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.format","doc":""},"Lean.Meta.DiscrTree.Key.ctorIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L51-L58","name":"Lean.Meta.DiscrTree.Key.ctorIdx","line":51,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.ctorIdx","doc":""},"Lean.Meta.DiscrTree.Key.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L17-L17","name":"Lean.Meta.DiscrTree.Key.const","line":17,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.const","doc":""},"Lean.Meta.DiscrTree.Key.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L22-L22","name":"Lean.Meta.DiscrTree.Key.arrow","line":22,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.arrow","doc":""},"Lean.Meta.DiscrTree.Key.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L82-L87","name":"Lean.Meta.DiscrTree.Key.arity","line":82,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.arity","doc":""},"Lean.Meta.DiscrTree.Key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L16-L24","name":"Lean.Meta.DiscrTree.Key","line":16,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key","doc":"Discrimination tree key. See `DiscrTree`\n"},"Lean.Meta.DiscrTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L83-L84","name":"Lean.Meta.DiscrTree","line":83,"kind":"structure","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree","doc":"Discrimination trees. It is an index from terms to values of type `α`.\n\nIf `simpleReduce := true`, then only simple reduction are performed while\nindexing/retrieving terms. For example, `iota` reduction is not performed.\n\nWe use `simpleReduce := false` in the type class resolution module,\nand `simpleReduce := true` in `simp`.\n\nMotivations:\n- In `simp`, we want to have `simp` theorem such as\n```\n@[simp] theorem liftOn_mk (a : α) (f : α → γ) (h : ∀ a₁ a₂, r a₁ a₂ → f a₁ = f a₂) :\n Quot.liftOn (Quot.mk r a) f h = f a := rfl\n```\nIf we enable `iota`, then the lhs is reduced to `f a`.\n\n- During type class resolution, we often want to reduce types using even `iota`.\nExample:\n```\ninductive Ty where\n | int\n | bool\n\n@[reducible] def Ty.interp (ty : Ty) : Type :=\n Ty.casesOn (motive := fun _ => Type) ty Int Bool\n\ndef test {a b c : Ty} (f : a.interp → b.interp → c.interp) (x : a.interp) (y : b.interp) : c.interp :=\n f x y\n\ndef f (a b : Ty.bool.interp) : Ty.bool.interp :=\n -- We want to synthesize `BEq Ty.bool.interp` here, and it will fail\n -- if we do not reduce `Ty.bool.interp` to `Bool`.\n test (.==.) a b\n```\n"},"Lean.Meta.DefaultInstances.priorities":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L238-L238","name":"Lean.Meta.DefaultInstances.priorities","line":238,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.priorities","doc":""},"Lean.Meta.DefaultInstances.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstances.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.mk","doc":""},"Lean.Meta.DefaultInstances.defaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L237-L237","name":"Lean.Meta.DefaultInstances.defaultInstances","line":237,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.defaultInstances","doc":""},"Lean.Meta.DefaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L236-L239","name":"Lean.Meta.DefaultInstances","line":236,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances","doc":""},"Lean.Meta.DefaultInstanceEntry.priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L232-L232","name":"Lean.Meta.DefaultInstanceEntry.priority","line":232,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.priority","doc":""},"Lean.Meta.DefaultInstanceEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstanceEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.mk","doc":""},"Lean.Meta.DefaultInstanceEntry.instanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L231-L231","name":"Lean.Meta.DefaultInstanceEntry.instanceName","line":231,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.instanceName","doc":""},"Lean.Meta.DefaultInstanceEntry.className":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L230-L230","name":"Lean.Meta.DefaultInstanceEntry.className","line":230,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.className","doc":""},"Lean.Meta.DefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L229-L232","name":"Lean.Meta.DefaultInstanceEntry","line":229,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry","doc":""},"Lean.Meta.DefEqContext.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L228-L228","name":"Lean.Meta.DefEqContext.rhs","line":228,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.rhs","doc":""},"Lean.Meta.DefEqContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.DefEqContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.mk","doc":""},"Lean.Meta.DefEqContext.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L230-L230","name":"Lean.Meta.DefEqContext.localInstances","line":230,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.localInstances","doc":""},"Lean.Meta.DefEqContext.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L227-L227","name":"Lean.Meta.DefEqContext.lhs","line":227,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lhs","doc":""},"Lean.Meta.DefEqContext.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L229-L229","name":"Lean.Meta.DefEqContext.lctx","line":229,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lctx","doc":""},"Lean.Meta.DefEqContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L226-L230","name":"Lean.Meta.DefEqContext","line":226,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext","doc":"\"Context\" for a postponed universe constraint.\n`lhs` and `rhs` are the surrounding `isDefEq` call when the postponed constraint was created.\n"},"Lean.Meta.DefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L208-L208","name":"Lean.Meta.DefEqCache","line":208,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqCache","doc":"A mapping `(s, t) ↦ isDefEq s t`.\nTODO: consider more efficient representations (e.g., a proper set) and caching policies (e.g., imperfect cache).\nWe should also investigate the impact on memory consumption. "},"Lean.Meta.DefEqArgsFirstPassResult.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L182-L208","name":"Lean.Meta.DefEqArgsFirstPassResult.ok","line":182,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.ok","doc":"Succeeded. The array `postponedImplicit` contains the position\nof the implicit arguments for which def-eq has been postponed.\n`postponedHO` contains the higher order output parameters, and parameters\nthat depend on them. They should be processed after the implict ones.\n`postponedHO` is used to handle applications involving functions that\ncontain higher order output parameters. Example:\n```lean\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → (h : dom xs i) → elem\n```\nThe argumengs `dom` and `h` must be processed after all implicit arguments\notherwise higher-order unification problems are generated. See issue #1299,\nwhen trying to solve\n```\ngetElem ?a ?i ?h =?= getElem a i (Fin.val_lt_of_le i ...)\n```\nwe have to solve the constraint\n```\n?dom a i.val =?= LT.lt i.val (Array.size a)\n```\nby solving after the instance has been synthesized, we reduce this constraint to\na simple check.\n"},"Lean.Meta.DefEqArgsFirstPassResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L176-L181","name":"Lean.Meta.DefEqArgsFirstPassResult.failed","line":176,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.failed","doc":"Failed to establish that explicit arguments are def-eq.\nRemark: higher output parameters, and parameters that depend on them\nare postponed.\n"},"Lean.Meta.DefEqArgsFirstPassResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L175-L208","name":"Lean.Meta.DefEqArgsFirstPassResult","line":175,"kind":"inductive","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult","doc":"Result type for `isDefEqArgsFirstPass`.\n"},"Lean.Meta.DecLevelContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L1-L1","name":"Lean.Meta.DecLevelContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.mk","doc":""},"Lean.Meta.DecLevelContext.canAssignMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L16-L16","name":"Lean.Meta.DecLevelContext.canAssignMVars","line":16,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.canAssignMVars","doc":"If `true`, then `decAux? ?m` returns a fresh metavariable `?n` s.t.\n`?m := ?n+1`.\n"},"Lean.Meta.DecLevelContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L11-L16","name":"Lean.Meta.DecLevelContext","line":11,"kind":"structure","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext","doc":""},"Lean.Meta.DSimp.instReprConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instReprConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instReprConfig","doc":""},"Lean.Meta.DSimp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instInhabitedConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instInhabitedConfig","doc":""},"Lean.Meta.DSimp.instBEqConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instBEqConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instBEqConfig","doc":""},"Lean.Meta.DSimp.Config.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1222-L1222","name":"Lean.Meta.DSimp.Config.zeta","line":1222,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.zeta","doc":""},"Lean.Meta.DSimp.Config.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1227-L1227","name":"Lean.Meta.DSimp.Config.proj","line":1227,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.proj","doc":""},"Lean.Meta.DSimp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1-L1","name":"Lean.Meta.DSimp.Config.mk","line":1,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.mk","doc":""},"Lean.Meta.DSimp.Config.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1226-L1226","name":"Lean.Meta.DSimp.Config.iota","line":1226,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.iota","doc":""},"Lean.Meta.DSimp.Config.failIfUnchanged":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1232-L1232","name":"Lean.Meta.DSimp.Config.failIfUnchanged","line":1232,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.failIfUnchanged","doc":"If `failIfUnchanged := true`, then calls to `simp`, `dsimp`, or `simp_all`\nwill fail if they do not make progress. "},"Lean.Meta.DSimp.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1225-L1225","name":"Lean.Meta.DSimp.Config.etaStruct","line":1225,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.etaStruct","doc":""},"Lean.Meta.DSimp.Config.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1224-L1224","name":"Lean.Meta.DSimp.Config.eta","line":1224,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.eta","doc":""},"Lean.Meta.DSimp.Config.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1228-L1228","name":"Lean.Meta.DSimp.Config.decide","line":1228,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.decide","doc":""},"Lean.Meta.DSimp.Config.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1223-L1223","name":"Lean.Meta.DSimp.Config.beta","line":1223,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.beta","doc":""},"Lean.Meta.DSimp.Config.autoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1229-L1229","name":"Lean.Meta.DSimp.Config.autoUnfold","line":1229,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.autoUnfold","doc":""},"Lean.Meta.DSimp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1221-L1233","name":"Lean.Meta.DSimp.Config","line":1221,"kind":"structure","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config","doc":""},"Lean.Meta.CustomEliminators.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminators.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.mk","doc":""},"Lean.Meta.CustomEliminators.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L101-L101","name":"Lean.Meta.CustomEliminators.map","line":101,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.map","doc":""},"Lean.Meta.CustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L100-L102","name":"Lean.Meta.CustomEliminators","line":100,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators","doc":""},"Lean.Meta.CustomEliminator.typeNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L96-L96","name":"Lean.Meta.CustomEliminator.typeNames","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.typeNames","doc":""},"Lean.Meta.CustomEliminator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminator.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.mk","doc":""},"Lean.Meta.CustomEliminator.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L97-L97","name":"Lean.Meta.CustomEliminator.elimInfo","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.elimInfo","doc":""},"Lean.Meta.CustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L95-L98","name":"Lean.Meta.CustomEliminator","line":95,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator","doc":""},"Lean.Meta.Contradiction.Config.useDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L14-L14","name":"Lean.Meta.Contradiction.Config.useDecide","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.useDecide","doc":""},"Lean.Meta.Contradiction.Config.searchFuel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L18-L18","name":"Lean.Meta.Contradiction.Config.searchFuel","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.searchFuel","doc":"When checking for empty types, `searchFuel` specifies the number of goals visited. "},"Lean.Meta.Contradiction.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L1-L1","name":"Lean.Meta.Contradiction.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.mk","doc":""},"Lean.Meta.Contradiction.Config.genDiseq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L24-L24","name":"Lean.Meta.Contradiction.Config.genDiseq","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.genDiseq","doc":"Support for hypotheses such as\n```\nh : (x y : Nat) (ys : List Nat) → x = 0 → y::ys = [a, b, c] → False\n```\nThis kind of hypotheses appear when proving conditional equation theorems for match expressions. "},"Lean.Meta.Contradiction.Config.emptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L16-L16","name":"Lean.Meta.Contradiction.Config.emptyType","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.emptyType","doc":"Check whether any of the hypotheses is an empty type. "},"Lean.Meta.Contradiction.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L13-L24","name":"Lean.Meta.Contradiction.Config","line":13,"kind":"structure","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config","doc":""},"Lean.Meta.Context.synthPendingDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L283-L283","name":"Lean.Meta.Context.synthPendingDepth","line":283,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.synthPendingDepth","doc":"Track the number of nested `synthPending` invocations. Nested invocations can happen\nwhen the type class resolution invokes `synthPending`.\n\nRemark: in the current implementation, `synthPending` fails if `synthPendingDepth > 0`.\nWe will add a configuration option if necessary. "},"Lean.Meta.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.mk","doc":""},"Lean.Meta.Context.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L274-L274","name":"Lean.Meta.Context.localInstances","line":274,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.localInstances","doc":"Local instances in `lctx`. "},"Lean.Meta.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L272-L272","name":"Lean.Meta.Context.lctx","line":272,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.lctx","doc":"Local context "},"Lean.Meta.Context.defEqCtx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L276-L276","name":"Lean.Meta.Context.defEqCtx?","line":276,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.defEqCtx?","doc":"Not `none` when inside of an `isDefEq` test. See `PostponedEntry`. "},"Lean.Meta.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L270-L270","name":"Lean.Meta.Context.config","line":270,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.config","doc":""},"Lean.Meta.Context.canUnfold?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L287-L287","name":"Lean.Meta.Context.canUnfold?","line":287,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.canUnfold?","doc":"A predicate to control whether a constant can be unfolded or not at `whnf`.\nNote that we do not cache results at `whnf` when `canUnfold?` is not `none`. "},"Lean.Meta.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L269-L287","name":"Lean.Meta.Context","line":269,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context","doc":"Contextual information for the `MetaM` monad.\n"},"Lean.Meta.CongrTheorem.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L37-L37","name":"Lean.Meta.CongrTheorem.type","line":37,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.type","doc":""},"Lean.Meta.CongrTheorem.proof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L38-L38","name":"Lean.Meta.CongrTheorem.proof","line":38,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.proof","doc":""},"Lean.Meta.CongrTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L1-L1","name":"Lean.Meta.CongrTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.mk","doc":""},"Lean.Meta.CongrTheorem.argKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L39-L39","name":"Lean.Meta.CongrTheorem.argKinds","line":39,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.argKinds","doc":""},"Lean.Meta.CongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L36-L39","name":"Lean.Meta.CongrTheorem","line":36,"kind":"structure","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem","doc":""},"Lean.Meta.CongrArgKind.subsingletonInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L30-L33","name":"Lean.Meta.CongrArgKind.subsingletonInst","line":30,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.subsingletonInst","doc":"For congr-simp theorems only. Indicates a decidable instance argument.\nThe lemma contains two arguments [a_i : Decidable ...] [b_i : Decidable ...] "},"Lean.Meta.CongrArgKind.heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L26-L29","name":"Lean.Meta.CongrArgKind.heq","line":26,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.heq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : HEq a_i b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their heterogeneous equality. "},"Lean.Meta.CongrArgKind.fixedNoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L14-L17","name":"Lean.Meta.CongrArgKind.fixedNoParam","line":14,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixedNoParam","doc":"It is not a parameter for the congruence theorem, the theorem was specialized for this parameter.\nThis only happens if the parameter is a subsingleton/proposition, and other parameters depend on it. "},"Lean.Meta.CongrArgKind.fixed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L12-L13","name":"Lean.Meta.CongrArgKind.fixed","line":12,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixed","doc":"It is a parameter for the congruence theorem, the parameter occurs in the left and right hand sides. "},"Lean.Meta.CongrArgKind.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L18-L21","name":"Lean.Meta.CongrArgKind.eq","line":18,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.eq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : a_i = b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their equality. "},"Lean.Meta.CongrArgKind.cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L22-L25","name":"Lean.Meta.CongrArgKind.cast","line":22,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.cast","doc":"The congr-simp theorems contains only one parameter for this kind of argument, and congr theorems contains two.\nThey correspond to arguments that are subsingletons/propositions. "},"Lean.Meta.CongrArgKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L11-L34","name":"Lean.Meta.CongrArgKind","line":11,"kind":"inductive","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind","doc":""},"Lean.Meta.Config.zetaNonDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L86-L86","name":"Lean.Meta.Config.zetaNonDep","line":86,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.zetaNonDep","doc":"If zetaNonDep == false, then non dependent let-decls are not zeta expanded. "},"Lean.Meta.Config.unificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L90-L90","name":"Lean.Meta.Config.unificationHints","line":90,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.unificationHints","doc":"Enable/disable the unification hints feature. "},"Lean.Meta.Config.transparency":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L84-L84","name":"Lean.Meta.Config.transparency","line":84,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.transparency","doc":"Controls which definitions and theorems can be unfolded by `isDefEq` and `whnf`.\n"},"Lean.Meta.Config.trackZeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L88-L88","name":"Lean.Meta.Config.trackZeta","line":88,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.trackZeta","doc":"When `trackZeta == true`, we store zetaFVarIds all free variables that have been zeta-expanded. "},"Lean.Meta.Config.quasiPatternApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L66-L66","name":"Lean.Meta.Config.quasiPatternApprox","line":66,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.quasiPatternApprox","doc":"When `quasiPatternApprox` is set to true, we ignore condition 2.\n"},"Lean.Meta.Config.proofIrrelevance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L92-L92","name":"Lean.Meta.Config.proofIrrelevance","line":92,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.proofIrrelevance","doc":"Enables proof irrelevance at `isDefEq` "},"Lean.Meta.Config.offsetCnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L101-L101","name":"Lean.Meta.Config.offsetCnstrs","line":101,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.offsetCnstrs","doc":"Enable/Disable support for offset constraints such as `?x + 1 =?= e` "},"Lean.Meta.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.mk","doc":""},"Lean.Meta.Config.isDefEqStuckEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L80-L80","name":"Lean.Meta.Config.isDefEqStuckEx","line":80,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.isDefEqStuckEx","doc":"When the following flag is set,\n`isDefEq` throws the exeption `Exeption.isDefEqStuck`\nwhenever it encounters a constraint `?m ... =?= t` where\n`?m` is read only.\nThis feature is useful for type class resolution where\nwe may want to notify the caller that the TC problem may be solveable\nlater after it assigns `?m`. "},"Lean.Meta.Config.foApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L57-L57","name":"Lean.Meta.Config.foApprox","line":57,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.foApprox","doc":"If `foApprox` is set to true, and some `aᵢ` is not a free variable,\nthen we use first-order unification\n```\n ?m a_1 ... a_i a_{i+1} ... a_{i+k} =?= f b_1 ... b_k\n```\nreduces to\n```\n ?m a_1 ... a_i =?= f\n a_{i+1} =?= b_1\n ...\n a_{i+k} =?= b_k\n```\n"},"Lean.Meta.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L103-L103","name":"Lean.Meta.Config.etaStruct","line":103,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.etaStruct","doc":"Eta for structures configuration mode. "},"Lean.Meta.Config.ctxApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L62-L62","name":"Lean.Meta.Config.ctxApprox","line":62,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.ctxApprox","doc":"When `ctxApprox` is set to true, we relax condition 4, by creating an\nauxiliary metavariable `?n'` with a smaller context than `?m'`.\n"},"Lean.Meta.Config.constApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L71-L71","name":"Lean.Meta.Config.constApprox","line":71,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.constApprox","doc":"When `constApprox` is set to true,\nwe solve `?m t =?= c` using\n`?m := fun _ => c`\nwhen `?m t` is not a higher-order pattern and `c` is not an application as "},"Lean.Meta.Config.assignSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L99-L99","name":"Lean.Meta.Config.assignSyntheticOpaque","line":99,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.assignSyntheticOpaque","doc":"By default synthetic opaque metavariables are not assigned by `isDefEq`. Motivation: we want to make\nsure typing constraints resolved during elaboration should not \"fill\" holes that are supposed to be filled using tactics.\nHowever, this restriction is too restrictive for tactics such as `exact t`. When elaborating `t`, we dot not fill\nnamed holes when solving typing constraints or TC resolution. But, we ignore the restriction when we try to unify\nthe type of `t` with the goal target type. We claim this is not a hack and is defensible behavior because\nthis last unification step is not really part of the term elaboration. 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"},"Lean.Macro.expandMacro?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4471-L4472","name":"Lean.Macro.expandMacro?","line":4471,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.expandMacro?","doc":"`expandMacro? stx` returns `some stxNew` if `stx` is a macro,\nand `stxNew` is its expansion.\n"},"Lean.Macro.addMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4392-L4394","name":"Lean.Macro.addMacroScope","line":4392,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.addMacroScope","doc":"Add a new macro scope to the name `n`. 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"},"Lean.MVarId.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L55-L56","name":"Lean.MVarId.tryClearMany","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClearMany","doc":"Try to erase the given free variables from the goal `mvarId`.\n"},"Lean.MVarId.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L45-L46","name":"Lean.MVarId.tryClear","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClear","doc":"Try to erase the given free variable from the goal `mvarId`. It is no-op if the free variable\ncannot be erased due to forward dependencies.\n"},"Lean.MVarId.substEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L293-L297","name":"Lean.MVarId.substEqs","line":293,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.substEqs","doc":"Applies `cases` to any hypothesis of the form `h : r = s`.\n"},"Lean.MVarId.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L217-L218","name":"Lean.MVarId.splitAnd","line":217,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.splitAnd","doc":"Apply `And.intro` as much as possible to goal `mvarId`.\n"},"Lean.MVarId.setUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L619-L620","name":"Lean.MVarId.setUserName","line":619,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setUserName","doc":"Set the user-facing name for the given metavariable.\n"},"Lean.MVarId.setType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L560-L561","name":"Lean.MVarId.setType","line":560,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setType","doc":"Update the type of the given metavariable. This function assumes the new type is\ndefinitionally equal to the current one "},"Lean.MVarId.setTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L21-L22","name":"Lean.MVarId.setTag","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.setTag","doc":""},"Lean.MVarId.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L551-L552","name":"Lean.MVarId.setKind","line":551,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setKind","doc":"Set `mvarId` kind in the current metavariable context.\n"},"Lean.MVarId.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rewrite.lean#L22-L68","name":"Lean.MVarId.rewrite","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Rewrite.html#Lean.MVarId.rewrite","doc":"Rewrite goal `mvarId`\n"},"Lean.MVarId.revertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Revert.lean#L49-L53","name":"Lean.MVarId.revertAfter","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revertAfter","doc":"Reverts all local declarations after `fvarId`. "},"Lean.MVarId.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Revert.lean#L13-L46","name":"Lean.MVarId.revert","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revert","doc":"Revert free variables `fvarIds` at goal `mvarId`.\n"},"Lean.MVarId.replaceTargetEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L20-L31","name":"Lean.MVarId.replaceTargetEq","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew` using an equality proof `eqProof : target = targetNew`.\nIt assumes `eqProof` has type `target = targetNew` "},"Lean.MVarId.replaceTargetDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L44-L55","name":"Lean.MVarId.replaceTargetDefEq","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetDefEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew`. It assumes the goals are definitionally equal.\nWe use the proof term\n```\n@id target mvarNew\n```\nto create a checkpoint. "},"Lean.MVarId.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L100-L109","name":"Lean.MVarId.replaceLocalDeclDefEq","line":100,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDeclDefEq","doc":"Replace the type of `fvarId` at `mvarId` with `typeNew`.\nRemark: this method assumes that `typeNew` is definitionally equal to the current type of `fvarId`.\n"},"Lean.MVarId.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L89-L90","name":"Lean.MVarId.replaceLocalDecl","line":89,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDecl","doc":"Replace type of the local declaration with id `fvarId` with one with the same user-facing name, but with type `typeNew`.\nThis method assumes `eqProof` is a proof that type of `fvarId` is equal to `typeNew`.\nThis tactic actually adds a new declaration and (try to) clear the old one.\nIf the old one cannot be cleared, then at least its user-facing name becomes inaccessible.\nRemark: the new declaration is added immediately after `fvarId`.\n`typeNew` must be well-formed at `fvarId`, but `eqProof` may contain variables declared after `fvarId`. "},"Lean.MVarId.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rename.lean#L13-L18","name":"Lean.MVarId.rename","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.MVarId.rename","doc":"Rename the user-face naming for the free variable `fvarId` at `mvarId`.\n"},"Lean.MVarId.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L21-L37","name":"Lean.MVarId.refl","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.refl","doc":"Close given goal using `Eq.refl`.\n"},"Lean.MVarId.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L262-L262","name":"Lean.MVarId.name","line":262,"kind":"def","docLink":"./Lean/Expr.html#Lean.MVarId.name","doc":""},"Lean.MVarId.modifyTargetEqLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L175-L180","name":"Lean.MVarId.modifyTargetEqLHS","line":175,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTargetEqLHS","doc":"Modify `mvarId` target type left-hand-side using `f`.\nThrow an error if target type is not an equality.\n"},"Lean.MVarId.modifyTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L162-L165","name":"Lean.MVarId.modifyTarget","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTarget","doc":"Modify `mvarId` target type using `f`.\n"},"Lean.MVarId.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1-L1","name":"Lean.MVarId.mk","line":1,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.MVarId.mk","doc":""},"Lean.MVarId.isReadOnlyOrSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L583-L587","name":"Lean.MVarId.isReadOnlyOrSyntheticOpaque","line":583,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnlyOrSyntheticOpaque","doc":"Return true if `mvarId.isReadOnly` return true or if `mvarId` is a synthetic opaque metavariable.\n\nRecall `isDefEq` will not assign a value to `mvarId` if `mvarId.isReadOnlyOrSyntheticOpaque`.\n"},"Lean.MVarId.isReadOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L571-L572","name":"Lean.MVarId.isReadOnly","line":571,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnly","doc":"Return true if the given metavariable is \"read-only\".\nThat is, its `depth` is different from the current metavariable context depth.\n"},"Lean.MVarId.isDelayedAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L382-L383","name":"Lean.MVarId.isDelayedAssigned","line":382,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isDelayedAssigned","doc":""},"Lean.MVarId.isAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L375-L376","name":"Lean.MVarId.isAssigned","line":375,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssigned","doc":"Return `true` if the give metavariable is already assigned. "},"Lean.MVarId.isAssignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L400-L403","name":"Lean.MVarId.isAssignable","line":400,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssignable","doc":""},"Lean.MVarId.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L181-L188","name":"Lean.MVarId.intros","line":181,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intros","doc":"Introduce as many binders as possible without unfolding definitions.\n"},"Lean.MVarId.introNP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L128-L129","name":"Lean.MVarId.introNP","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introNP","doc":"Introduce `n` binders in the goal `mvarId`. The new hypotheses are named using the binder names.\nThe suffix `P` stands for \"preserving`.\n"},"Lean.MVarId.introN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L117-L118","name":"Lean.MVarId.introN","line":117,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introN","doc":"Introduce `n` binders in the goal `mvarId`.\n"},"Lean.MVarId.intro1P":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L165-L166","name":"Lean.MVarId.intro1P","line":165,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1P","doc":"Introduce one object from the goal `mvarid`, preserving the name used in the binder.\nReturns a pair made of the newly introduced variable and the new goal.\nThis will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L154-L155","name":"Lean.MVarId.intro1","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1","doc":"Introduce one object from the goal `mvarid`, without preserving the name used in the binder.\nReturns a pair made of the newly introduced variable (which will have an inaccessible name)\nand the new goal. This will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L138-L140","name":"Lean.MVarId.intro","line":138,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro","doc":"Introduce one binder using `name` as the the new hypothesis name.\n"},"Lean.MVarId.inferInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L157-L161","name":"Lean.MVarId.inferInstance","line":157,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.inferInstance","doc":""},"Lean.MVarId.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Induction.lean#L125-L207","name":"Lean.MVarId.induction","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Induction.html#Lean.MVarId.induction","doc":""},"Lean.MVarId.hrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L66-L69","name":"Lean.MVarId.hrefl","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.hrefl","doc":"Close given goal using `HEq.refl`.\n"},"Lean.MVarId.heqOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L50-L53","name":"Lean.MVarId.heqOfEq","line":50,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.heqOfEq","doc":"Try to apply `heq_of_eq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.headBetaType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L88-L89","name":"Lean.MVarId.headBetaType","line":88,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.headBetaType","doc":"Beta reduce the metavariable type head "},"Lean.MVarId.hcongr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L55-L65","name":"Lean.MVarId.hcongr?","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.hcongr?","doc":"Try to apply a `hcongr` congruence theorem, and then tries to close resulting goals\nusing `Eq.refl`, `HEq.refl`, and assumption.\n"},"Lean.MVarId.getType'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L66-L67","name":"Lean.MVarId.getType'","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType'","doc":"Get the type the given metavariable after instantiating metavariables and reducing to\nweak head normal form. "},"Lean.MVarId.getType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L57-L58","name":"Lean.MVarId.getType","line":57,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType","doc":"Get the type the given metavariable. "},"Lean.MVarId.getTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L14-L15","name":"Lean.MVarId.getTag","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getTag","doc":"Get the user name of the given metavariable. "},"Lean.MVarId.getNondepPropHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L96-L121","name":"Lean.MVarId.getNondepPropHyps","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getNondepPropHyps","doc":"Collect nondependent hypotheses that are propositions. "},"Lean.MVarId.getKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L534-L535","name":"Lean.MVarId.getKind","line":534,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getKind","doc":"Return `mvarId` kind. Throw an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.getDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L522-L525","name":"Lean.MVarId.getDecl","line":522,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getDecl","doc":"Return `mvarId` declaration in the current metavariable context.\nThrow an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.generalizeHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L86-L103","name":"Lean.MVarId.generalizeHyp","line":86,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalizeHyp","doc":"Extension of `generalize` to support generalizing within specified hypotheses.\nThe `hyps` array contains the list of hypotheses within which to look for occurrences\nof the generalizing expressions.\n"},"Lean.MVarId.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L74-L75","name":"Lean.MVarId.generalize","line":74,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.MVarId.findDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L511-L512","name":"Lean.MVarId.findDecl?","line":511,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.findDecl?","doc":"Return `some mvarDecl` where `mvarDecl` is `mvarId` declaration in the current metavariable context.\nReturn `none` if `mvarId` has no declaration in the current metavariable context.\n"},"Lean.MVarId.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L34-L50","name":"Lean.MVarId.existsIntro","line":34,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.existsIntro","doc":""},"Lean.MVarId.exfalso":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L224-L231","name":"Lean.MVarId.exfalso","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.exfalso","doc":""},"Lean.MVarId.eqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L58-L61","name":"Lean.MVarId.eqOfHEq","line":58,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.eqOfHEq","doc":"Try to apply `eq_of_heq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L29-L32","name":"Lean.MVarId.deltaTarget","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaTarget","doc":"Delta expand declarations that satisfy `p` at `mvarId` type.\n"},"Lean.MVarId.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L41-L44","name":"Lean.MVarId.deltaLocalDecl","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaLocalDecl","doc":"Delta expand declarations that satisfy `p` at `fvarId` type.\n"},"Lean.MVarId.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L32-L40","name":"Lean.MVarId.define","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.define","doc":"Convert the given goal `Ctx |- target` into `Ctx |- let name : type := val; target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.contradictionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L152-L211","name":"Lean.MVarId.contradictionCore","line":152,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradictionCore","doc":"Return `true` if goal `mvarId` has contradictory hypotheses.\nSee `MVarId.contradiction` for the list of tests performed by this method.\n"},"Lean.MVarId.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L224-L226","name":"Lean.MVarId.contradiction","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradiction","doc":"Try to close the goal using \"contradictions\" such as\n- Contradictory hypotheses `h₁ : p` and `h₂ : ¬ p`.\n- Contradictory disequality `h : x ≠ x`.\n- Contradictory equality between different constructors, e.g., `h : List.nil = List.cons x xs`.\n- Empty inductive types, e.g., `x : Fin 0`.\n- Decidable propositions that evaluate to false, i.e., a hypothesis `h : p` s.t. `decide p` reduces to `false`.\n This is only tried if `Config.useDecide = true`.\n\nThrow exception if goal failed to be closed.\n"},"Lean.MVarId.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L16-L28","name":"Lean.MVarId.constructor","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.constructor","doc":"When the goal `mvarId` type is an inductive datatype,\n`constructor` calls `apply` with the first matching constructor.\n"},"Lean.MVarId.congrPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L21-L26","name":"Lean.MVarId.congrPre","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrPre","doc":"Preprocessor before applying congruence theorem.\nTries to close new goals using `Eq.refl`, `HEq.refl`, and `assumption`.\nIt also tries to apply `heq_of_eq`.\n"},"Lean.MVarId.congrN.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L103-L108","name":"Lean.MVarId.congrN.post","line":103,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.post","doc":""},"Lean.MVarId.congrN.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L110-L117","name":"Lean.MVarId.congrN.go","line":110,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.go","doc":""},"Lean.MVarId.congrN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L99-L117","name":"Lean.MVarId.congrN","line":99,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n\n* Applies `congr` recursively up to depth `depth`.\n* If `closePre := true`, it will attempt to close new goals\n using `Eq.refl`, `HEq.refl`, and `assumption` with reducible transparency.\n* If `closePost := true`, it will try again on goals on which `congr` failed to make progress\n with default transparency.\n"},"Lean.MVarId.congrImplies?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L70-L73","name":"Lean.MVarId.congrImplies?","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrImplies?","doc":"Try to apply `implies_congr`.\n"},"Lean.MVarId.congrCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L79-L87","name":"Lean.MVarId.congrCore","line":79,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrCore","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n"},"Lean.MVarId.congr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L41-L49","name":"Lean.MVarId.congr?","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congr?","doc":"Try to apply a `simp` congruence theorem.\n"},"Lean.MVarId.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L13-L34","name":"Lean.MVarId.clear","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.clear","doc":"Erase the given free variable from the goal `mvarId`.\n"},"Lean.MVarId.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cleanup.lean#L66-L67","name":"Lean.MVarId.cleanup","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.MVarId.cleanup","doc":"Auxiliary tactic for cleaning the local context. It removes local declarations (aka hypotheses) that are *not* relevant.\nWe say a variable `x` is \"relevant\" if\n- It occurs in the target type, or\n- There is a relevant variable `y` that depends on `x`, or\n- The type of `x` is a proposition and it depends on a relevant variable `y`.\n"},"Lean.MVarId.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L48-L50","name":"Lean.MVarId.checkNotAssigned","line":48,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.checkNotAssigned","doc":"Throw a tactic exception with given tactic name if the given metavariable is assigned. "},"Lean.MVarId.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L136-L153","name":"Lean.MVarId.changeLocalDecl","line":136,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.changeLocalDecl","doc":"Replace the type of the free variable `fvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to `fvarId` type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to `fvarId` type.\n"},"Lean.MVarId.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L120-L125","name":"Lean.MVarId.change","line":120,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.change","doc":"Replace the target type of `mvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to the current target type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to the current target type.\n"},"Lean.MVarId.casesRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L271-L281","name":"Lean.MVarId.casesRec","line":271,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesRec","doc":"Keep applying `cases` on any hypothesis that satisfies `p`.\n"},"Lean.MVarId.casesAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L286-L288","name":"Lean.MVarId.casesAnd","line":286,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesAnd","doc":"Applies `cases` (recursively) to any hypothesis of the form `h : p ∧ q`.\n"},"Lean.MVarId.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L261-L262","name":"Lean.MVarId.cases","line":261,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.cases","doc":"Apply `casesOn` using the free variable `majorFVarId` as the major premise (aka discriminant).\n`givenNames` contains user-facing names for each alternative.\n"},"Lean.MVarId.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L311-L316","name":"Lean.MVarId.byCases","line":311,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.byCases","doc":"Split the goal in two subgoals: one containing the hypothesis `h : p` and another containing `h : ¬ p`.\n"},"Lean.MVarId.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L21-L26","name":"Lean.MVarId.assumptionCore","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumptionCore","doc":"Return `true` if managed to close goal `mvarId` using an assumption. "},"Lean.MVarId.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L33-L35","name":"Lean.MVarId.assumption","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumption","doc":"Close goal `mvarId` using an assumption. Throw error message if failed. "},"Lean.MVarId.assign":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L472-L473","name":"Lean.MVarId.assign","line":472,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.assign","doc":"Add `mvarId := x` to the metavariable assignment.\nThis method does not check whether `mvarId` is already assigned, nor it checks whether\na cycle is being introduced, or whether the expression has the right type.\nThis is a low-level API, and it is safer to use `isDefEq (mkMVar mvarId) x`.\n"},"Lean.MVarId.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L98-L110","name":"Lean.MVarId.assertHypotheses","line":98,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertHypotheses","doc":"Convert the given goal `Ctx |- target` into `Ctx, (hs[0].userName : hs[0].type) ... |-target`.\nIt assumes `hs[i].val` has type `hs[i].type`. "},"Lean.MVarId.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L49-L60","name":"Lean.MVarId.assertExt","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertExt","doc":"Convert the given goal `Ctx |- target` into `Ctx |- (hName : type) -> hName = val -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L75-L84","name":"Lean.MVarId.assertAfter","line":75,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertAfter","doc":"Convert the given goal `Ctx |- target` into a goal containing `(userName : type)` after the local declaration with if `fvarId`.\nIt assumes `val` has type `type`, and that `type` is well-formed after `fvarId`.\nNote that `val` does not need to be well-formed after `fvarId`. That is, it may contain variables that are defined after `fvarId`. "},"Lean.MVarId.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L15-L23","name":"Lean.MVarId.assert","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assert","doc":"Convert the given goal `Ctx |- target` into `Ctx |- type -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.applyRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L44-L45","name":"Lean.MVarId.applyRefl","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.applyRefl","doc":""},"Lean.MVarId.apply.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L162-L173","name":"Lean.MVarId.apply.go","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply.go","doc":""},"Lean.MVarId.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L130-L185","name":"Lean.MVarId.apply","line":130,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply","doc":"Close the given goal using `apply e`.\n"},"Lean.MVarId.admit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L76-L81","name":"Lean.MVarId.admit","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.admit","doc":"Assign `mvarId` to `sorryAx` "},"Lean.MVarId.acyclic.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Acyclic.lean#L33-L51","name":"Lean.MVarId.acyclic.go","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic.go","doc":""},"Lean.MVarId.acyclic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Acyclic.lean#L22-L51","name":"Lean.MVarId.acyclic","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic","doc":"Close the given goal if `h` is a proof for an equality such as `as = a :: as`.\nInductive datatypes in Lean are acyclic.\n"},"Lean.MVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L261-L263","name":"Lean.MVarId","line":261,"kind":"structure","docLink":"./Lean/Expr.html#Lean.MVarId","doc":"Universe metavariable Id "},"Lean.MData.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L111-L111","name":"Lean.MData.empty","line":111,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData.empty","doc":""},"Lean.MData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L110-L110","name":"Lean.MData","line":110,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData","doc":"Expression metadata. 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"},"Lean.Lsp.WorkDoneProgressReport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressReport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.mk","doc":""},"Lean.Lsp.WorkDoneProgressReport.message?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L352-L352","name":"Lean.Lsp.WorkDoneProgressReport.message?","line":352,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.message?","doc":"More detailed associated progress message. "},"Lean.Lsp.WorkDoneProgressReport.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L350-L350","name":"Lean.Lsp.WorkDoneProgressReport.kind","line":350,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.kind","doc":""},"Lean.Lsp.WorkDoneProgressReport.cancellable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L354-L354","name":"Lean.Lsp.WorkDoneProgressReport.cancellable","line":354,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.cancellable","doc":"Controls if a cancel button should show to allow the user to cancel the operation. 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"},"Lean.Lsp.TextEdit.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L87-L87","name":"Lean.Lsp.TextEdit.range","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.range","doc":"The range of the text document to be manipulated.\nTo insert text into a document create a range where `start = end`. "},"Lean.Lsp.TextEdit.newText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L89-L89","name":"Lean.Lsp.TextEdit.newText","line":89,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.newText","doc":"The string to be inserted. For delete operations use an empty string. "},"Lean.Lsp.TextEdit.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextEdit.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.mk","doc":""},"Lean.Lsp.TextEdit.annotationId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L97-L97","name":"Lean.Lsp.TextEdit.annotationId?","line":97,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.annotationId?","doc":"Identifier for annotated edit.\n\n`WorkspaceEdit` has a `changeAnnotations` field that maps these identifiers to a `ChangeAnnotation`.\nBy annotating an edit you can add a description of what the edit will do and also control whether the\nuser is presented with a prompt before applying the edit.\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit).\n"},"Lean.Lsp.TextEdit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L84-L98","name":"Lean.Lsp.TextEdit","line":84,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit","doc":"A textual edit applicable to a text document.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit) "},"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L86-L86","name":"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","line":86,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","doc":""},"Lean.Lsp.TextDocumentSyncOptions.willSave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L85-L85","name":"Lean.Lsp.TextDocumentSyncOptions.willSave","line":85,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSave","doc":""},"Lean.Lsp.TextDocumentSyncOptions.save?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L87-L87","name":"Lean.Lsp.TextDocumentSyncOptions.save?","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.save?","doc":""},"Lean.Lsp.TextDocumentSyncOptions.openClose":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L83-L83","name":"Lean.Lsp.TextDocumentSyncOptions.openClose","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.openClose","doc":""},"Lean.Lsp.TextDocumentSyncOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L1-L1","name":"Lean.Lsp.TextDocumentSyncOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.mk","doc":""},"Lean.Lsp.TextDocumentSyncOptions.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L84-L84","name":"Lean.Lsp.TextDocumentSyncOptions.change","line":84,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.change","doc":""},"Lean.Lsp.TextDocumentSyncOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L82-L88","name":"Lean.Lsp.TextDocumentSyncOptions","line":82,"kind":"structure","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions","doc":"NOTE: This is defined twice in the spec. 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"},"Lean.Lsp.TextDocumentItem.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L279-L279","name":"Lean.Lsp.TextDocumentItem.uri","line":279,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.uri","doc":"The text document's URI. "},"Lean.Lsp.TextDocumentItem.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L285-L285","name":"Lean.Lsp.TextDocumentItem.text","line":285,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.text","doc":"The content of the opened text document. "},"Lean.Lsp.TextDocumentItem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextDocumentItem.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.mk","doc":""},"Lean.Lsp.TextDocumentItem.languageId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L281-L281","name":"Lean.Lsp.TextDocumentItem.languageId","line":281,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.languageId","doc":"The text document's language identifier. "},"Lean.Lsp.TextDocumentItem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L277-L286","name":"Lean.Lsp.TextDocumentItem","line":277,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem","doc":"An item to transfer a text document from the client to the 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"},"Lean.Lsp.CodeActionTriggerKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L34-L41","name":"Lean.Lsp.CodeActionTriggerKind","line":34,"kind":"inductive","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionTriggerKind","doc":""},"Lean.Lsp.CodeActionParams.textDocument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L81-L81","name":"Lean.Lsp.CodeActionParams.textDocument","line":81,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.textDocument","doc":""},"Lean.Lsp.CodeActionParams.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L82-L82","name":"Lean.Lsp.CodeActionParams.range","line":82,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.range","doc":""},"Lean.Lsp.CodeActionParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.mk","doc":""},"Lean.Lsp.CodeActionParams.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L83-L83","name":"Lean.Lsp.CodeActionParams.context","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.context","doc":""},"Lean.Lsp.CodeActionParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L80-L84","name":"Lean.Lsp.CodeActionParams","line":80,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams","doc":"Parameters for a [CodeActionRequest](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textDocument_codeAction). "},"Lean.Lsp.CodeActionOptions.resolveProvider?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L98-L98","name":"Lean.Lsp.CodeActionOptions.resolveProvider?","line":98,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.resolveProvider?","doc":"The server provides support to resolve additional information for a code action. "},"Lean.Lsp.CodeActionOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.mk","doc":""},"Lean.Lsp.CodeActionOptions.codeActionKinds?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L96-L96","name":"Lean.Lsp.CodeActionOptions.codeActionKinds?","line":96,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.codeActionKinds?","doc":"CodeActionKinds that this server may return.\n\nThe list of kinds may be generic, such as `\"refactor\"`, or the server may list out every specific kind they provide. "},"Lean.Lsp.CodeActionOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L92-L99","name":"Lean.Lsp.CodeActionOptions","line":92,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions","doc":"Capabilities of the server for handling code actions. "},"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L141-L141","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","line":141,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","doc":"The code action kind values the client supports. When this\nproperty exists the client also guarantees that it will\nhandle values outside its set gracefully and falls back\nto a default value when unknown.\n"},"Lean.Lsp.CodeActionLiteralSupportValueSet.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupportValueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L135-L142","name":"Lean.Lsp.CodeActionLiteralSupportValueSet","line":135,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet","doc":""},"Lean.Lsp.CodeActionLiteralSupport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupport.codeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L146-L146","name":"Lean.Lsp.CodeActionLiteralSupport.codeActionKind","line":146,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.codeActionKind","doc":"The code action kind is supported with the following value set. "},"Lean.Lsp.CodeActionLiteralSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L144-L147","name":"Lean.Lsp.CodeActionLiteralSupport","line":144,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport","doc":""},"Lean.Lsp.CodeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L32-L32","name":"Lean.Lsp.CodeActionKind","line":32,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionKind","doc":"The kind of a code action.\n\nKinds are a hierarchical list of identifiers separated by `.`,\ne.g. `\"refactor.extract.function\"`.\n\nThe set of kinds is open and client needs to announce the kinds it supports\nto the server during initialization.\nYou can make your own code action kinds, the ones supported by LSP are:\n- `quickfix`\n- `refactor`\n - `refactor.extract`\n - `refactor.inline`\n - `refactor.rewrite`\n- `source` Source code actions apply to the entire file. Eg fixing all issues or organising imports.\n - `source.organizeImports`\n - `source.fixAll`\n"},"Lean.Lsp.CodeActionDisabled.reason":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L88-L88","name":"Lean.Lsp.CodeActionDisabled.reason","line":88,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.reason","doc":""},"Lean.Lsp.CodeActionDisabled.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionDisabled.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.mk","doc":""},"Lean.Lsp.CodeActionDisabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L87-L89","name":"Lean.Lsp.CodeActionDisabled","line":87,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled","doc":"If the code action is disabled, this type gives the reson why. "},"Lean.Lsp.CodeActionContext.triggerKind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L76-L76","name":"Lean.Lsp.CodeActionContext.triggerKind?","line":76,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.triggerKind?","doc":"The reason why code actions were requested. "},"Lean.Lsp.CodeActionContext.only?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L74-L74","name":"Lean.Lsp.CodeActionContext.only?","line":74,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.only?","doc":"Requested kind of actions to return.\n\nActions not of this kind are filtered out by the client before being\nshown. So servers can omit computing them.\n"},"Lean.Lsp.CodeActionContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.mk","doc":""},"Lean.Lsp.CodeActionContext.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L68-L68","name":"Lean.Lsp.CodeActionContext.diagnostics","line":68,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.diagnostics","doc":"An array of diagnostics known on the client side overlapping the range\nprovided to the `textDocument/codeAction` request. They are provided so\nthat the server knows which errors are currently presented to the user\nfor the given range. There is no guarantee that these accurately reflect\nthe error state of the resource. The primary parameter\nto compute code actions is the provided range.\n"},"Lean.Lsp.CodeActionContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L59-L77","name":"Lean.Lsp.CodeActionContext","line":59,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext","doc":"Contains additional diagnostic information about the context in which a code action is run.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionContext) "},"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L168-L168","name":"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","line":168,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","doc":"Whether the client supports resolving additional code action properties via a separate `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.mk","doc":""},"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L154-L154","name":"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","line":154,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","doc":"Whether the code action supports the `isPreferred` property. "},"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L164-L164","name":"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","line":164,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","doc":"Whether the client honors the change annotations in\ntext edits and resource operations returned via the\n`CodeAction#edit` property by for example presenting\nthe workspace edit in the user interface and asking\nfor confirmation. "},"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L152-L152","name":"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","line":152,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","doc":"Whether we can [register capabilities dynamically](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#client_registerCapability). "},"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L156-L156","name":"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","line":156,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","doc":"Whether the code action supports the `disabled` property. "},"Lean.Lsp.CodeActionClientCapabilities.dataSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L158-L158","name":"Lean.Lsp.CodeActionClientCapabilities.dataSupport?","line":158,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dataSupport?","doc":"Weather code action supports the `data` property which is preserved between a `textDocument/codeAction` and a `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L166-L166","name":"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","line":166,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","doc":"The client supports code action literals as a valid response of the `textDocument/codeAction` request. "},"Lean.Lsp.CodeActionClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L150-L169","name":"Lean.Lsp.CodeActionClientCapabilities","line":150,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities","doc":"[Reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionClientCapabilities) "},"Lean.Lsp.CodeAction.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L110-L110","name":"Lean.Lsp.CodeAction.title","line":110,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.title","doc":"A short, human-readable, title for this code action. "},"Lean.Lsp.CodeAction.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeAction.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.mk","doc":""},"Lean.Lsp.CodeAction.kind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L112-L112","name":"Lean.Lsp.CodeAction.kind?","line":112,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.kind?","doc":"The kind of the code action. "},"Lean.Lsp.CodeAction.isPreferred?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L116-L116","name":"Lean.Lsp.CodeAction.isPreferred?","line":116,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.isPreferred?","doc":"Marks this as a preferred action. Preferred actions are used by the `auto fix` command and can be targeted by keybindings. "},"Lean.Lsp.CodeAction.edit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L120-L120","name":"Lean.Lsp.CodeAction.edit?","line":120,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.edit?","doc":"The workspace edit this code action performs. "},"Lean.Lsp.CodeAction.disabled?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L118-L118","name":"Lean.Lsp.CodeAction.disabled?","line":118,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.disabled?","doc":"Marks that the code action cannot currently be applied. "},"Lean.Lsp.CodeAction.diagnostics?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L114-L114","name":"Lean.Lsp.CodeAction.diagnostics?","line":114,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.diagnostics?","doc":"The diagnostics that this code action resolves. "},"Lean.Lsp.CodeAction.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L128-L128","name":"Lean.Lsp.CodeAction.data?","line":128,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.data?","doc":"A data entry field that is preserved on a code action between a `textDocument/codeAction` and a `codeAction/resolve` request.\nIn particular, for Lean-created commands we expect `data` to have a `uri : DocumentUri` field so that `FileSource` can be implemented.\n "},"Lean.Lsp.CodeAction.command?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L124-L124","name":"Lean.Lsp.CodeAction.command?","line":124,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.command?","doc":"A command this code action executes.\n\nIf a code action provides an edit and a command, first the edit is executed and then the command. "},"Lean.Lsp.CodeAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L108-L129","name":"Lean.Lsp.CodeAction","line":108,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction","doc":"A code action represents a change that can be performed in code, e.g. to fix a problem or to refactor code.\n\nA CodeAction should set either `edit` and/or a `command`.\nIf both are supplied, the `edit` is applied first, then the `command` is executed.\nIf none are supplied, the client makes a `codeAction/resolve` JSON-RPC request to compute the edit.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeAction) 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string providing a short description of the error. "},"Lean.JsonRpc.ResponseError.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L174-L174","name":"Lean.JsonRpc.ResponseError.id","line":174,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.id","doc":""},"Lean.JsonRpc.ResponseError.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L180-L180","name":"Lean.JsonRpc.ResponseError.data?","line":180,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.data?","doc":"A primitive or structured value that contains additional\ninformation about the error. Can be omitted. "},"Lean.JsonRpc.ResponseError.code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L175-L175","name":"Lean.JsonRpc.ResponseError.code","line":175,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.code","doc":""},"Lean.JsonRpc.ResponseError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L173-L181","name":"Lean.JsonRpc.ResponseError","line":173,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError","doc":"Generic version of `Message.responseError`.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#error_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseError).\n"},"Lean.JsonRpc.Response.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L161-L161","name":"Lean.JsonRpc.Response.result","line":161,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.result","doc":""},"Lean.JsonRpc.Response.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L159-L159","name":"Lean.JsonRpc.Response.mk","line":159,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.mk","doc":""},"Lean.JsonRpc.Response.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L160-L160","name":"Lean.JsonRpc.Response.id","line":160,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.id","doc":""},"Lean.JsonRpc.Response":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L159-L162","name":"Lean.JsonRpc.Response","line":159,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response","doc":"Generic version of `Message.response`.\n\nA Response Message sent as a result of a request. If a request doesn’t provide a\nresult value the receiver of a request still needs to return a response message\nto conform to the JSON-RPC specification. The result property of the ResponseMessage\nshould be set to null in this case to signal a successful request.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#response_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseMessage)\n"},"Lean.JsonRpc.RequestID.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L22-L22","name":"Lean.JsonRpc.RequestID.str","line":22,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.str","doc":""},"Lean.JsonRpc.RequestID.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L23-L23","name":"Lean.JsonRpc.RequestID.num","line":23,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.num","doc":""},"Lean.JsonRpc.RequestID.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L24-L24","name":"Lean.JsonRpc.RequestID.null","line":24,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.null","doc":""},"Lean.JsonRpc.RequestID":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L21-L25","name":"Lean.JsonRpc.RequestID","line":21,"kind":"inductive","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID","doc":"In JSON-RPC, each request from the client editor to the language server comes with a\nrequest id so that the corresponding response can be identified or cancelled. 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Every processed request must send a response back to the sender of the request.\n\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#requestMessage)\n- [JSON-RPC](https://www.jsonrpc.org/specification#request_object)\n"},"Lean.JsonRpc.Notification.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L142-L142","name":"Lean.JsonRpc.Notification.param","line":142,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.param","doc":""},"Lean.JsonRpc.Notification.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L140-L140","name":"Lean.JsonRpc.Notification.mk","line":140,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.mk","doc":""},"Lean.JsonRpc.Notification.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L141-L141","name":"Lean.JsonRpc.Notification.method","line":141,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.method","doc":""},"Lean.JsonRpc.Notification":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L140-L143","name":"Lean.JsonRpc.Notification","line":140,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification","doc":"Generic version of `Message.notification`.\n\nA notification message. 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`reuse x ctor ...` with `ctor ...`, and remoce `dec x` "},"Lean.IR.ExpandResetReuse.removeSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L168-L186","name":"Lean.IR.ExpandResetReuse.removeSelfSet","line":168,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.removeSelfSet","doc":"Remove unnecessary `set/uset/sset` operations "},"Lean.IR.ExpandResetReuse.releaseUnreadFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L135-L141","name":"Lean.IR.ExpandResetReuse.releaseUnreadFields","line":135,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.releaseUnreadFields","doc":""},"Lean.IR.ExpandResetReuse.mkSlowPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L124-L129","name":"Lean.IR.ExpandResetReuse.mkSlowPath","line":124,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkSlowPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\ninc z_1; ...; inc z_i; dec y; b'\n```\nwhere `z_i`'s are the variables in `mask`,\nand `b'` is `b` where we removed `dec x` and replaced `reuse x ctor_i ...` with `ctor_i ...`.\n"},"Lean.IR.ExpandResetReuse.mkProjMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L31-L34","name":"Lean.IR.ExpandResetReuse.mkProjMap","line":31,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkProjMap","doc":"Create a mapping from variables to projections.\nThis function assumes variable ids have been normalized "},"Lean.IR.ExpandResetReuse.mkFresh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L132-L133","name":"Lean.IR.ExpandResetReuse.mkFresh","line":132,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFresh","doc":""},"Lean.IR.ExpandResetReuse.mkFastPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L230-L233","name":"Lean.IR.ExpandResetReuse.mkFastPath","line":230,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFastPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\nlet f_i_1 := proj[i_1] y;\n...\nlet f_i_k := proj[i_k] y;\nb'\n```\nwhere `i_j`s are the field indexes\nthat the code did not touch immediately before the reset.\nThat is `mask[j] == none`.\n`b'` is `b` where `y` `dec x` is replaced with `del y`,\nand `z := reuse x ctor_i ws; F` is replaced with\n`set x i ws[i]` operations, and we replace `z` with `x` in `F`\n"},"Lean.IR.ExpandResetReuse.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L265-L272","name":"Lean.IR.ExpandResetReuse.main","line":265,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.main","doc":""},"Lean.IR.ExpandResetReuse.isSelfUSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L156-L159","name":"Lean.IR.ExpandResetReuse.isSelfUSet","line":156,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfUSet","doc":"Given `uset x[i] := y`, return true iff `y := uproj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L147-L153","name":"Lean.IR.ExpandResetReuse.isSelfSet","line":147,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSet","doc":"Given `set x[i] := y`, return true iff `y := proj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L162-L165","name":"Lean.IR.ExpandResetReuse.isSelfSSet","line":162,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSSet","doc":"Given `sset x[n, i] := y`, return true iff `y := sproj[n, i] x` "},"Lean.IR.ExpandResetReuse.expand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L236-L247","name":"Lean.IR.ExpandResetReuse.expand","line":236,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.expand","doc":""},"Lean.IR.ExpandResetReuse.eraseProjIncForAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L53-L82","name":"Lean.IR.ExpandResetReuse.eraseProjIncForAux","line":53,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncForAux","doc":"Auxiliary function for eraseProjIncFor "},"Lean.IR.ExpandResetReuse.eraseProjIncFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L86-L87","name":"Lean.IR.ExpandResetReuse.eraseProjIncFor","line":86,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncFor","doc":"Try to erase `inc` instructions on projections of `y` occurring in the tail of `bs`.\nReturn the updated `bs` and a bit mask specifying which `inc`s have been removed. 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They are redundant, but are used to create more compact\nterms, speedup reduction, and implement eta for structures.\nThe type of `struct` must be an structure-like inductive type. That is, it has only one\nconstructor, is not recursive, and it is not an inductive predicate. The kernel and elaborators\ncheck whether the `typeName` matches the type of `struct`, and whether the (zero-based) index\nis valid (i.e., it is smaller than the numbef of constructor fields).\nWhen exporting Lean developments to other systems, `proj` can be replaced with `typeName`.`rec`\napplications.\n\nExample, given `a : Nat x Bool`, `a.1` is represented as\n```\n.proj `Prod 0 a\n```\n"},"Lean.Expr.prod?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L105-L106","name":"Lean.Expr.prod?","line":105,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.prod?","doc":"Recognize `α × β` "},"Lean.Expr.occurs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L55-L56","name":"Lean.Expr.occurs","line":55,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.occurs","doc":"Return true if `e` occurs in `t` "},"Lean.Expr.notNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L58-L61","name":"Lean.Expr.notNot?","line":58,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.notNot?","doc":""},"Lean.Expr.not?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L55-L56","name":"Lean.Expr.not?","line":55,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.not?","doc":""},"Lean.Expr.ne?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L43-L44","name":"Lean.Expr.ne?","line":43,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.ne?","doc":""},"Lean.Expr.natLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1034-L1036","name":"Lean.Expr.natLit?","line":1034,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.natLit?","doc":""},"Lean.Expr.natAdd?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L69-L70","name":"Lean.Expr.natAdd?","line":69,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.natAdd?","doc":""},"Lean.Expr.mvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1065-L1067","name":"Lean.Expr.mvarId!","line":1065,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mvarId!","doc":""},"Lean.Expr.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L336-L342","name":"Lean.Expr.mvar","line":336,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mvar","doc":"Metavariables are used to represent \"holes\" in expressions, and goals in the\ntactic framework. Metavariable declarations are stored in the `MetavarContext`.\nMetavariables are used during elaboration, and are not allowed in the kernel,\nor in the code generator.\n"},"Lean.Expr.mkDataForLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L194-L195","name":"Lean.Expr.mkDataForLet","line":194,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForLet","doc":""},"Lean.Expr.mkDataForBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L191-L192","name":"Lean.Expr.mkDataForBinder","line":191,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForBinder","doc":""},"Lean.Expr.mkData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L164-L178","name":"Lean.Expr.mkData","line":164,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkData","doc":""},"Lean.Expr.mkAppRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1281-L1282","name":"Lean.Expr.mkAppRevRange","line":1281,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppRevRange","doc":"`mkAppRevRange f b e args == mkAppRev f (revArgs.extract b e)` "},"Lean.Expr.mkAppData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L181-L189","name":"Lean.Expr.mkAppData","line":181,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppData","doc":"Optimized version of `Expr.mkData` for applications. "},"Lean.Expr.mdataExpr!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1109-L1111","name":"Lean.Expr.mdataExpr!","line":1109,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mdataExpr!","doc":""},"Lean.Expr.mdata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L435-L445","name":"Lean.Expr.mdata","line":435,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mdata","doc":"Metadata (aka annotations).\n\nWe use annotations to provide hints to the pretty-printer,\nstore references to `Syntax` nodes, position information, and save information for\nelaboration procedures (e.g., we use the `inaccessible` annotation during elaboration to\nmark `Expr`s that correspond to inaccessible patterns).\n\nNote that `Expr.mdata data e` is definitionally equal to `e`.\n"},"Lean.Expr.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L764-L764","name":"Lean.Expr.lt","line":764,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lt","doc":"A total order for expressions that takes the structure into account (e.g., variable names). "},"Lean.Expr.lowerLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1150-L1150","name":"Lean.Expr.lowerLooseBVars","line":1150,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lowerLooseBVars","doc":"Lower the loose bound variables `>= s` in `e` by `d`.\nThat is, a loose bound variable `bvar i`.\n`i >= s` is mapped into `bvar (i-d)`.\n\nRemark: if `s < d`, then result is `e`\n"},"Lean.Expr.looseBVarRangeEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L602-L602","name":"Lean.Expr.looseBVarRangeEx","line":602,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRangeEx","doc":""},"Lean.Expr.looseBVarRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L581-L582","name":"Lean.Expr.looseBVarRange","line":581,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRange","doc":"The range of de-Bruijn variables that are loose.\nThat is, bvars that are not bound by a binder.\nFor example, `bvar i` has range `i + 1` and\nan expression with no loose bvars has range `0`.\n"},"Lean.Expr.litValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1026-L1028","name":"Lean.Expr.litValue!","line":1026,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.litValue!","doc":""},"Lean.Expr.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L422-L433","name":"Lean.Expr.lit","line":422,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lit","doc":"Natural number and string literal values.\n\nThey are not really needed, but provide a more compact representation in memory\nfor these two kinds of literals, and are used to implement efficient reduction\nin the elaborator and kernel. The \"raw\" natural number `2` can be represented\nas `Expr.lit (.natVal 2)`. Note that, it is definitionally equal to:\n```lean\nExpr.app (.const `Nat.succ []) (.app (.const `Nat.succ []) (.const `Nat.zero []))\n```\n"},"Lean.Expr.listLit?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L89-L95","name":"Lean.Expr.listLit?.loop","line":89,"kind":"opaque","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?.loop","doc":""},"Lean.Expr.listLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L88-L96","name":"Lean.Expr.listLit?","line":88,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?","doc":""},"Lean.Expr.liftLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1155-L1155","name":"Lean.Expr.liftLooseBVars","line":1155,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.liftLooseBVars","doc":"Lift loose bound variables `>= s` in `e` by `d`. "},"Lean.Expr.letValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1097-L1099","name":"Lean.Expr.letValue!","line":1097,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letValue!","doc":""},"Lean.Expr.letType!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1093-L1095","name":"Lean.Expr.letType!","line":1093,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letType!","doc":""},"Lean.Expr.letName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1089-L1091","name":"Lean.Expr.letName!","line":1089,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letName!","doc":""},"Lean.Expr.letE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L402-L420","name":"Lean.Expr.letE","line":402,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.letE","doc":"Let-expressions.\n\n**IMPORTANT**: The `nonDep` flag is for \"local\" use only. That is, a module should not \"trust\" its value for any purpose.\nIn the intended use-case, the compiler will set this flag, and be responsible for maintaining it.\nOther modules may not preserve its value while applying transformations.\n\nGiven an environment, a metavariable context, and a local context,\nwe say a let-expression `let x : t := v; e` is non-dependent when it is equivalent\nto `(fun x : t => e) v`. Here is an example of a dependent let-expression\n`let n : Nat := 2; fun (a : Array Nat n) (b : Array Nat 2) => a = b` is type correct,\nbut `(fun (n : Nat) (a : Array Nat n) (b : Array Nat 2) => a = b) 2` is not.\n\nThe let-expression `let x : Nat := 2; Nat.succ x` is represented as\n```\nExpr.letE `x (.const `Nat []) (.lit (.natVal 2)) (.app (.const `Nat.succ []) (.bvar 0)) true\n```\n"},"Lean.Expr.letBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1101-L1103","name":"Lean.Expr.letBody!","line":1101,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letBody!","doc":""},"Lean.Expr.lam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L372-L381","name":"Lean.Expr.lam","line":372,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lam","doc":"A lambda abstraction (aka anonymous functions). It introduces a new binder for\nvariable `x` in scope for the lambda body.\n\nFor example, the expression `fun x : Nat => x` is represented as\n```\nExpr.lam `x (.const `Nat []) (.bvar 0) .default\n```\n"},"Lean.Expr.isType0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L794-L796","name":"Lean.Expr.isType0","line":794,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType0","doc":"Return `true` if the given expression is of the form `.sort (.succ .zero)`. "},"Lean.Expr.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L789-L791","name":"Lean.Expr.isType","line":789,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType","doc":"Return `true` if the given expression is of the form `.sort (.succ ..)`. "},"Lean.Expr.isSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L15-L17","name":"Lean.Expr.isSyntheticSorry","line":15,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSyntheticSorry","doc":""},"Lean.Expr.isStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1038-L1040","name":"Lean.Expr.isStringLit","line":1038,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isStringLit","doc":""},"Lean.Expr.isSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L784-L786","name":"Lean.Expr.isSort","line":784,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSort","doc":"Return `true` if the given expression is a `.sort ..` "},"Lean.Expr.isSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L11-L13","name":"Lean.Expr.isSorry","line":11,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSorry","doc":""},"Lean.Expr.isSemiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1406-L1407","name":"Lean.Expr.isSemiOutParam","line":1406,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSemiOutParam","doc":"Return `true` if `e` is of the form `semiOutParam _` "},"Lean.Expr.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L799-L801","name":"Lean.Expr.isProp","line":799,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProp","doc":"Return `true` if the given expression is a `.sort .zero` "},"Lean.Expr.isProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L824-L826","name":"Lean.Expr.isProj","line":824,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProj","doc":"Return `true` if the given expression is a projection `.proj ..` "},"Lean.Expr.isOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1402-L1403","name":"Lean.Expr.isOutParam","line":1402,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOutParam","doc":"Return `true` if `e` is of the form `outParam _` "},"Lean.Expr.isOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1410-L1411","name":"Lean.Expr.isOptParam","line":1410,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOptParam","doc":"Return `true` if `e` is of the form `optParam _ _` "},"Lean.Expr.isNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L19-L21","name":"Lean.Expr.isNonSyntheticSorry","line":19,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isNonSyntheticSorry","doc":""},"Lean.Expr.isNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1030-L1032","name":"Lean.Expr.isNatLit","line":1030,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isNatLit","doc":""},"Lean.Expr.isMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L809-L811","name":"Lean.Expr.isMVar","line":809,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMVar","doc":"Return `true` if the given expression is a metavariable. "},"Lean.Expr.isMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L876-L878","name":"Lean.Expr.isMData","line":876,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMData","doc":"Return `true` if the given expression is a metadata. "},"Lean.Expr.isLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L881-L883","name":"Lean.Expr.isLit","line":881,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLit","doc":"Return `true` if the given expression is a literal value. "},"Lean.Expr.isLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L871-L873","name":"Lean.Expr.isLet","line":871,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLet","doc":"Return `true` if the given expression is a let-expression. "},"Lean.Expr.isLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L860-L862","name":"Lean.Expr.isLambda","line":860,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLambda","doc":"Return `true` if the given expression is a lambda abstraction aka anonymous function. "},"Lean.Expr.isIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L82-L83","name":"Lean.Expr.isIte","line":82,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isIte","doc":""},"Lean.Expr.isHeadBetaTargetFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1342-L1346","name":"Lean.Expr.isHeadBetaTargetFn","line":1342,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTargetFn","doc":"Return true if the given expression is the function of an expression that is target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n\nSee `isHeadBetaTarget`.\n"},"Lean.Expr.isHeadBetaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1358-L1359","name":"Lean.Expr.isHeadBetaTarget","line":1358,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTarget","doc":"Return true if the given expression is a target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n"},"Lean.Expr.isHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L79-L80","name":"Lean.Expr.isHEq","line":79,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isHEq","doc":""},"Lean.Expr.isForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L855-L857","name":"Lean.Expr.isForall","line":855,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isForall","doc":"Return `true` if the given expression is a forall-expression aka (dependent) arrow. "},"Lean.Expr.isFVarOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L850-L852","name":"Lean.Expr.isFVarOf","line":850,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVarOf","doc":"Return `true` if the given expression is a free variable with the given id.\nExamples:\n- `isFVarOf (.fvar id) id` is `true`\n- ``isFVarOf (.fvar id) id'`` is `false`\n- ``isFVarOf (.sort levelZero) id`` is `false`\n"},"Lean.Expr.isFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L814-L816","name":"Lean.Expr.isFVar","line":814,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVar","doc":"Return `true` if the given expression is a free variable. "},"Lean.Expr.isErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L16-L17","name":"Lean.Expr.isErased","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Expr.isErased","doc":""},"Lean.Expr.isEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L76-L77","name":"Lean.Expr.isEq","line":76,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isEq","doc":""},"Lean.Expr.isDIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L85-L86","name":"Lean.Expr.isDIte","line":85,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isDIte","doc":""},"Lean.Expr.isConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L113-L121","name":"Lean.Expr.isConstructorApp?","line":113,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp?","doc":""},"Lean.Expr.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L123-L124","name":"Lean.Expr.isConstructorApp","line":123,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp","doc":""},"Lean.Expr.isConstOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L839-L841","name":"Lean.Expr.isConstOf","line":839,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConstOf","doc":"Return `true` if the given expression is a constant of the give name.\nExamples:\n- `` (.const `Nat []).isConstOf `Nat `` is `true`\n- `` (.const `Nat []).isConstOf `False `` is `false`\n"},"Lean.Expr.isConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L829-L831","name":"Lean.Expr.isConst","line":829,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConst","doc":"Return `true` if the given expression is a constant. "},"Lean.Expr.isCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1042-L1043","name":"Lean.Expr.isCharLit","line":1042,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isCharLit","doc":""},"Lean.Expr.isBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L865-L868","name":"Lean.Expr.isBinding","line":865,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBinding","doc":"Return `true` if the given expression is a forall or lambda expression. "},"Lean.Expr.isBVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L804-L806","name":"Lean.Expr.isBVar","line":804,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBVar","doc":"Return `true` if the given expression is a bound variable. "},"Lean.Expr.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1414-L1415","name":"Lean.Expr.isAutoParam","line":1414,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAutoParam","doc":"Return `true` if `e` is of the form `autoParam _ _` "},"Lean.Expr.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1225-L1232","name":"Lean.Expr.isAtomic","line":1225,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAtomic","doc":"Returns true when the expression does not have any sub-expressions. "},"Lean.Expr.isArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1128-L1131","name":"Lean.Expr.isArrow","line":1128,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isArrow","doc":"Return `true` if `e` is a non-dependent arrow.\nRemark: the following function assumes `e` does not have loose bound variables.\n"},"Lean.Expr.isAppOfArity'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L998-L1002","name":"Lean.Expr.isAppOfArity'","line":998,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity'","doc":"Similar to `isAppOfArity` but skips `Expr.mdata`. "},"Lean.Expr.isAppOfArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L992-L995","name":"Lean.Expr.isAppOfArity","line":992,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity","doc":"Given `f a₁ ... aᵢ`, returns true if `f` is a constant\nwith name `n` and has the correct number of arguments.\n"},"Lean.Expr.isAppOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L983-L986","name":"Lean.Expr.isAppOf","line":983,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOf","doc":"Given `f a₀ a₁ ... aₙ`, returns true if `f` is a constant with name `n`. "},"Lean.Expr.isApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L819-L821","name":"Lean.Expr.isApp","line":819,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isApp","doc":"Return `true` if the given expression is an application. "},"Lean.Expr.instantiateRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1199-L1199","name":"Lean.Expr.instantiateRevRange","line":1199,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRevRange","doc":"Similar to `instantiateRev`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1185-L1185","name":"Lean.Expr.instantiateRev","line":1185,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRev","doc":"Similar to instantiate, but `Expr.bvar i` is replaced with `subst[subst.size - i - 1]` "},"Lean.Expr.instantiateRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1192-L1192","name":"Lean.Expr.instantiateRange","line":1192,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRange","doc":"Similar to `instantiate`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateLevelParamsNoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L40-L42","name":"Lean.Expr.instantiateLevelParamsNoCache","line":40,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsNoCache","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n(Does not preserve expression 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parameters\n"},"Lean.Expr.instantiateLevelParamsArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L57-L60","name":"Lean.Expr.instantiateLevelParamsArray","line":57,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsArray","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two arrays have different length, the smallest one is used.\n"},"Lean.Expr.instantiateLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L31-L33","name":"Lean.Expr.instantiateLevelParams","line":31,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParams","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n"},"Lean.Expr.instantiateBetaRevRange.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/InferType.lean#L32-L65","name":"Lean.Expr.instantiateBetaRevRange.visit","line":32,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange.visit","doc":""},"Lean.Expr.instantiateBetaRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/InferType.lean#L25-L65","name":"Lean.Expr.instantiateBetaRevRange","line":25,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange","doc":"Auxiliary function for instantiating the loose bound variables in `e` with `args[start:stop]`.\nThis function is similar to `instantiateRevRange`, but it applies beta-reduction when\nwe instantiate a bound variable with a lambda expression.\nExample: Given the term `#0 a`, and `start := 0, stop := 1, args := #[fun x => x]` the result is\n`a` instead of `(fun x => x) a`.\nThis reduction is useful when we are inferring the type of eliminator-like applications.\nFor example, given `(n m : Nat) (f : Nat → Nat) (h : m = n)`,\nthe type of `Eq.subst (motive := fun x => f m = f x) h rfl`\nis `motive n` which is `(fun (x : Nat) => f m = f x) n`\nThis function reduces the new application to `f m = f n`\n\nWe use it to implement `inferAppType`\n"},"Lean.Expr.instantiate1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1181-L1181","name":"Lean.Expr.instantiate1","line":1181,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate1","doc":""},"Lean.Expr.instantiate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1178-L1178","name":"Lean.Expr.instantiate","line":1178,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate","doc":"Instantiate the loose bound 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"},"Lean.Expr.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L596-L596","name":"Lean.Expr.hashEx","line":596,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hashEx","doc":""},"Lean.Expr.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L526-L527","name":"Lean.Expr.hash","line":526,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hash","doc":""},"Lean.Expr.hasSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L26-L27","name":"Lean.Expr.hasSyntheticSorry","line":26,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSyntheticSorry","doc":""},"Lean.Expr.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L23-L24","name":"Lean.Expr.hasSorry","line":23,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSorry","doc":""},"Lean.Expr.hasNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L29-L30","name":"Lean.Expr.hasNonSyntheticSorry","line":29,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasNonSyntheticSorry","doc":""},"Lean.Expr.hasMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L600-L600","name":"Lean.Expr.hasMVarEx","line":600,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVarEx","doc":""},"Lean.Expr.hasMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L556-L558","name":"Lean.Expr.hasMVar","line":556,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVar","doc":"Does the expression contain level (aka universe) or expression metavariables?\nThis is a constant time operation.\n"},"Lean.Expr.hasLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1121-L1122","name":"Lean.Expr.hasLooseBVars","line":1121,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVars","doc":""},"Lean.Expr.hasLooseBVarInExplicitDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1137-L1140","name":"Lean.Expr.hasLooseBVarInExplicitDomain","line":1137,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVarInExplicitDomain","doc":"Return true if `e` contains the loose bound variable `bvarIdx` in an explicit parameter, or in the range if `tryRange == true`. 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"},"Lean.Expr.getUsedConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FoldConsts.lean#L66-L67","name":"Lean.Expr.getUsedConstants","line":66,"kind":"def","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.getUsedConstants","doc":""},"Lean.Expr.getRevArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L964-L967","name":"Lean.Expr.getRevArgD","line":964,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArgD","doc":""},"Lean.Expr.getRevArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L969-L972","name":"Lean.Expr.getRevArg!","line":969,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArg!","doc":""},"Lean.Expr.getOptParamDefault?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1387-L1391","name":"Lean.Expr.getOptParamDefault?","line":1387,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getOptParamDefault?","doc":"Return `some e'` if `e` is of the form `optParam _ e'` "},"Lean.Expr.getForallBodyMaxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L894-L897","name":"Lean.Expr.getForallBodyMaxDepth","line":894,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBodyMaxDepth","doc":""},"Lean.Expr.getForallBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L890-L892","name":"Lean.Expr.getForallBody","line":890,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBody","doc":"Return the \"body\" of a forall expression.\nExample: let `e` be the representation for `forall (p : Prop) (q : Prop), p ∧ q`, then\n`getForallBody e` returns ``.app (.app (.const `And []) (.bvar 1)) (.bvar 0)``\n"},"Lean.Expr.getForallBinderNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L901-L903","name":"Lean.Expr.getForallBinderNames","line":901,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBinderNames","doc":"Given a sequence of nested foralls `(a₁ : α₁) → ... → (aₙ : αₙ) → _`,\nreturns the names `[a₁, ... aₙ]`. "},"Lean.Expr.getAutoParamTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1394-L1398","name":"Lean.Expr.getAutoParamTactic?","line":1394,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAutoParamTactic?","doc":"Return `some e'` if `e` is of the form `autoParam _ e'` "},"Lean.Expr.getArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L979-L980","name":"Lean.Expr.getArgD","line":979,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArgD","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or returns `v₀` if out of bounds. "},"Lean.Expr.getArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L975-L976","name":"Lean.Expr.getArg!","line":975,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArg!","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or panics if out of bounds. "},"Lean.Expr.getAppRevArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L937-L938","name":"Lean.Expr.getAppRevArgs","line":937,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppRevArgs","doc":"Same as `getAppArgs` but reverse the output array. "},"Lean.Expr.getAppNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L919-L920","name":"Lean.Expr.getAppNumArgs","line":919,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppNumArgs","doc":"Counts the number `n` of arguments for an expression `f a₁ .. aₙ`. "},"Lean.Expr.getAppFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L910-L912","name":"Lean.Expr.getAppFn","line":910,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppFn","doc":"If the given expression is a sequence of\nfunction applications `f a₁ .. aₙ`, return `f`.\nOtherwise return the input expression.\n"},"Lean.Expr.getAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L927-L930","name":"Lean.Expr.getAppArgs","line":927,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppArgs","doc":"Given `f a₁ a₂ ... aₙ`, returns `#[a₁, ..., aₙ]` "},"Lean.Expr.fvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1061-L1063","name":"Lean.Expr.fvarId!","line":1061,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.fvarId!","doc":""},"Lean.Expr.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L321-L334","name":"Lean.Expr.fvar","line":321,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.fvar","doc":"The `fvar` constructor represent free variables. These /free/ variable\noccurrences are not bound by an earlier `lam`, `forallE`, or `letE`\ncontructor and its binder exists in a local context only.\n\nNote that Lean uses the /locally nameless approach/. See [here](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.2479&rep=rep1&type=pdf)\nfor additional details.\n\nWhen \"visiting\" the body of a binding expression (i.e. `lam`, `forallE`, or `letE`),\nbound variables are converted into free variables using a unique identifier,\nand their user-facing name, type, value (for `LetE`), and binder annotation\nare stored in the `LocalContext`.\n"},"Lean.Expr.forallE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L383-L400","name":"Lean.Expr.forallE","line":383,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.forallE","doc":"A dependent arrow `(a : α) → β)` (aka forall-expression) where `β` may dependent\non `a`. Note that this constructor is also used to represent non-dependent arrows\nwhere `β` does not depend on `a`.\n\nFor example:\n- `forall x : Prop, x ∧ x`:\n```lean\nExpr.forallE `x (.sort .zero)\n (.app (.app (.const `And []) (.bvar 0)) (.bvar 0)) .default\n```\n- `Nat → Bool`:\n```lean\nExpr.forallE `a (.const `Nat [])\n (.const `Bool []) .default\n```\n"},"Lean.Expr.forEachWhere":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExprWhere.lean#L83-L83","name":"Lean.Expr.forEachWhere","line":83,"kind":"opaque","docLink":"./Lean/Util/ForEachExprWhere.html#Lean.Expr.forEachWhere","doc":"`e.forEachWhere p f` applies `f` to each subterm that satisfies `p`.\n"},"Lean.Expr.forEach'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExpr.lean#L33-L34","name":"Lean.Expr.forEach'","line":33,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach'","doc":"Apply `f` to each sub-expression of `e`. If `f t` returns false, then t's children are not visited. "},"Lean.Expr.forEach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExpr.lean#L36-L37","name":"Lean.Expr.forEach","line":36,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach","doc":""},"Lean.Expr.foldConsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FoldConsts.lean#L64-L64","name":"Lean.Expr.foldConsts","line":64,"kind":"opaque","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.foldConsts","doc":"Apply `f` to every constant occurring in `e` once. "},"Lean.Expr.findMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindMVar.lean#L31-L32","name":"Lean.Expr.findMVar?","line":31,"kind":"def","docLink":"./Lean/Util/FindMVar.html#Lean.Expr.findMVar?","doc":""},"Lean.Expr.findLevelMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindLevelMVar.lean#L43-L44","name":"Lean.Expr.findLevelMVar?","line":43,"kind":"def","docLink":"./Lean/Util/FindLevelMVar.html#Lean.Expr.findLevelMVar?","doc":""},"Lean.Expr.findExt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L100-L100","name":"Lean.Expr.findExt?","line":100,"kind":"opaque","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.findExt?","doc":"Similar to `find?`, but `p` can return `FindStep.done` to interrupt the search on subterms.\nRemark: Differently from `find?`, we do not invoke `p` for partial applications of an application. "},"Lean.Expr.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L41-L52","name":"Lean.Expr.find?","line":41,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.find?","doc":""},"Lean.Expr.etaExpandedStrict?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1382-L1384","name":"Lean.Expr.etaExpandedStrict?","line":1382,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpandedStrict?","doc":"Similar to `etaExpanded?`, but only succeeds if `ₙ ≥ 1`. "},"Lean.Expr.etaExpanded?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1378-L1379","name":"Lean.Expr.etaExpanded?","line":1378,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpanded?","doc":"If `e` is of the form `(fun x₁ ... xₙ => f x₁ ... xₙ)` and `f` does not contain `x₁`, ..., `xₙ`,\nthen return `some f`. Otherwise, return `none`.\n\nIt assumes `e` does not have loose bound variables.\n\nRemark: `ₙ` may be 0\n"},"Lean.Expr.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1590-L1601","name":"Lean.Expr.eta","line":1590,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eta","doc":"Eta reduction. If `e` is of the form `(fun x => f x)`, then return `f`.\n"},"Lean.Expr.eqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L771-L771","name":"Lean.Expr.eqv","line":771,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eqv","doc":"Return true iff `a` and `b` are alpha equivalent.\nBinder annotations are ignored.\n"},"Lean.Expr.equal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L781-L781","name":"Lean.Expr.equal","line":781,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.equal","doc":"Return true iff `a` and `b` are equal.\nBinder names and annotations are taking into account.\n"},"Lean.Expr.eqOrIff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L49-L53","name":"Lean.Expr.eqOrIff?","line":49,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eqOrIff?","doc":""},"Lean.Expr.eq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L40-L41","name":"Lean.Expr.eq?","line":40,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eq?","doc":""},"Lean.Expr.dbgToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L756-L756","name":"Lean.Expr.dbgToString","line":756,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.dbgToString","doc":""},"Lean.Expr.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L288-L507","name":"Lean.Expr.data","line":288,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.data","doc":""},"Lean.Expr.ctorWeight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ACLt.lean#L12-L24","name":"Lean.Expr.ctorWeight","line":12,"kind":"def","docLink":"./Lean/Meta/ACLt.html#Lean.Expr.ctorWeight","doc":""},"Lean.Expr.ctorName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L512-L524","name":"Lean.Expr.ctorName","line":512,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.ctorName","doc":"The constructor name for the given expression. This is used for debugging purposes. "},"Lean.Expr.containsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1459-L1460","name":"Lean.Expr.containsFVar","line":1459,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.containsFVar","doc":"Return `true` if `e` contains the given free variable. "},"Lean.Expr.consumeTypeAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1425-L1431","name":"Lean.Expr.consumeTypeAnnotations","line":1425,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.consumeTypeAnnotations","doc":"Remove `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `consumeTypeAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `consumeTypeAnnotations e = e`.\n"},"Lean.Expr.consumeMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1105-L1107","name":"Lean.Expr.consumeMData","line":1105,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.consumeMData","doc":""},"Lean.Expr.constructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L135-L152","name":"Lean.Expr.constructorApp?","line":135,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.constructorApp?","doc":"If `e` is a constructor application, return a pair containing the corresponding `ConstructorVal` and the constructor\napplication arguments.\nThis function treats numerals as constructors. For example, if `e` is the numeral `2`, the result pair\nis `ConstructorVal` for `Nat.succ`, and the array `#[1]`. The parameter `useRaw` controls how the resulting\nnumeral is represented. If `useRaw := false`, then `mkNatLit` is used, otherwise `mkRawNatLit`.\nRecall that `mkNatLit` uses the `OfNat.ofNat` application which is the canonical way of representing numerals\nin the elaborator and tactic framework. We `useRaw := false` in the compiler (aka code generator).\n"},"Lean.Expr.constName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1049-L1051","name":"Lean.Expr.constName?","line":1049,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName?","doc":""},"Lean.Expr.constName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1045-L1047","name":"Lean.Expr.constName!","line":1045,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName!","doc":""},"Lean.Expr.constLevels!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1053-L1055","name":"Lean.Expr.constLevels!","line":1053,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constLevels!","doc":""},"Lean.Expr.const?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L11-L14","name":"Lean.Expr.const?","line":11,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.const?","doc":""},"Lean.Expr.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L352-L358","name":"Lean.Expr.const","line":352,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.const","doc":"A (universe polymorphic) constant that has been defined earlier in the module or\nby another imported module. For example, `@Eq.{1}` is represented\nas ``Expr.const `Eq [.succ .zero]``, and `@Array.map.{0, 0}` is represented\nas ``Expr.const `Array.map [.zero, .zero]``.\n"},"Lean.Expr.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/CollectMVars.lean#L38-L39","name":"Lean.Expr.collectMVars","line":38,"kind":"def","docLink":"./Lean/Util/CollectMVars.html#Lean.Expr.collectMVars","doc":""},"Lean.Expr.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectFVars.lean#L13-L15","name":"Lean.Expr.collectFVars","line":13,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Expr.collectFVars","doc":""},"Lean.Expr.cleanupAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1440-L1442","name":"Lean.Expr.cleanupAnnotations","line":1440,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.cleanupAnnotations","doc":"Remove metadata annotations and `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `cleanupAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `cleanupAnnotations e = e`.\n"},"Lean.Expr.bvarIdx!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1057-L1059","name":"Lean.Expr.bvarIdx!","line":1057,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bvarIdx!","doc":""},"Lean.Expr.bvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L297-L319","name":"Lean.Expr.bvar","line":297,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.bvar","doc":"The `bvar` constructor represents bound variables, i.e. occurrences\nof a variable in the expression where there is a variable binder\nabove it (i.e. introduced by a `lam`, `forallE`, or `letE`).\n\nThe `deBruijnIndex` parameter is the *de-Bruijn* index for the bound\nvariable. See [here](https://en.wikipedia.org/wiki/De_Bruijn_index)\nfor additional information on de-Bruijn indexes.\n\nFor example, consider the expression `fun x : Nat => forall y : Nat, x = y`.\nThe `x` and `y` variables in the equality expression are constructed\nusing `bvar` and bound to the binders introduced by the earlier\n`lam` and `forallE` constructors. Here is the corresponding `Expr` representation\nfor the same expression:\n```lean\n.lam `x (.const `Nat [])\n (.forallE `y (.const `Nat [])\n (.app (.app (.app (.const `Eq [.succ .zero]) (.const `Nat [])) (.bvar 1)) (.bvar 0))\n .default)\n .default\n```\n"},"Lean.Expr.bindingName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1069-L1072","name":"Lean.Expr.bindingName!","line":1069,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingName!","doc":""},"Lean.Expr.bindingInfo!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1084-L1087","name":"Lean.Expr.bindingInfo!","line":1084,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingInfo!","doc":""},"Lean.Expr.bindingDomain!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1074-L1077","name":"Lean.Expr.bindingDomain!","line":1074,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingDomain!","doc":""},"Lean.Expr.bindingBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1079-L1082","name":"Lean.Expr.bindingBody!","line":1079,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingBody!","doc":""},"Lean.Expr.binderInfoEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L603-L603","name":"Lean.Expr.binderInfoEx","line":603,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfoEx","doc":""},"Lean.Expr.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L587-L591","name":"Lean.Expr.binderInfo","line":587,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfo","doc":"Return the binder information if `e` is a lambda or forall expression, and `.default` otherwise.\n"},"Lean.Expr.betaRev.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1303-L1325","name":"Lean.Expr.betaRev.go","line":1303,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.betaRev.go","doc":""},"Lean.Expr.betaRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1299-L1326","name":"Lean.Expr.betaRev","line":1299,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.betaRev","doc":"If `f` is a lambda expression, than \"beta-reduce\" it using `revArgs`.\nThis function is often used with `getAppRev` or `withAppRev`.\nExamples:\n- `betaRev (fun x y => t x y) #[]` ==> `fun x y => t x y`\n- `betaRev (fun x y => t x y) #[a]` ==> `fun y => t a y`\n- `betaRev (fun x y => t x y) #[a, b]` ==> `t b a`\n- `betaRev (fun x y => t x y) #[a, b, c, d]` ==> `t d c b a`\nSuppose `t` is `(fun x y => t x y) a b c d`, then\n`args := t.getAppRev` is `#[d, c, b, a]`,\nand `betaRev (fun x y => t x y) #[d, c, b, a]` is `t a b c d`.\n\nIf `useZeta` is true, the function also performs zeta-reduction (reduction of let binders) to create further\nopportunities for beta reduction.\n"},"Lean.Expr.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1332-L1333","name":"Lean.Expr.beta","line":1332,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.beta","doc":"Apply the given arguments to `f`, beta-reducing if `f` is a\nlambda expression. See docstring for `betaRev` for examples.\n"},"Lean.Expr.arrow?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L72-L74","name":"Lean.Expr.arrow?","line":72,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrow?","doc":""},"Lean.Expr.arrayLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L98-L102","name":"Lean.Expr.arrayLit?","line":98,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrayLit?","doc":""},"Lean.Expr.approxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L572-L573","name":"Lean.Expr.approxDepth","line":572,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.approxDepth","doc":"Return the approximated depth of an expression. This information is used to compute\nthe expression hash code, and speedup comparisons.\nThis is a constant time operation. 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"},"Lean.Expr.abstractM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L730-L731","name":"Lean.Expr.abstractM","line":730,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractM","doc":"Replace free (or meta) variables `xs` with loose bound variables.\nSimilar to `Expr.abstract`, but handles metavariables correctly.\n"},"Lean.Expr.abstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1203-L1203","name":"Lean.Expr.abstract","line":1203,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstract","doc":"Replace free (or meta) variables `xs` with loose bound variables. 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"},"Lean.EnvExtensionEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L53-L53","name":"Lean.EnvExtensionEntry","line":53,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtensionEntry","doc":""},"Lean.EnvExtension.setState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L365-L365","name":"Lean.EnvExtension.setState","line":365,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.setState","doc":""},"Lean.EnvExtension.modifyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L366-L366","name":"Lean.EnvExtension.modifyState","line":366,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.modifyState","doc":""},"Lean.EnvExtension.instInhabitedEnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L364-L364","name":"Lean.EnvExtension.instInhabitedEnvExtension","line":364,"kind":"instance","docLink":"./Lean/Environment.html#Lean.EnvExtension.instInhabitedEnvExtension","doc":""},"Lean.EnvExtension.getState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L367-L367","name":"Lean.EnvExtension.getState","line":367,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.getState","doc":""},"Lean.EnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L358-L358","name":"Lean.EnvExtension","line":358,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension","doc":""},"Lean.EnumAttributes.setValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L286-L292","name":"Lean.EnumAttributes.setValue","line":286,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.setValue","doc":""},"Lean.EnumAttributes.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L239-L239","name":"Lean.EnumAttributes.mk","line":239,"kind":"ctor","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.mk","doc":""},"Lean.EnumAttributes.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L278-L284","name":"Lean.EnumAttributes.getValue","line":278,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.getValue","doc":""},"Lean.EnumAttributes.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L241-L241","name":"Lean.EnumAttributes.ext","line":241,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.ext","doc":""},"Lean.EnumAttributes.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L240-L240","name":"Lean.EnumAttributes.attrs","line":240,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.attrs","doc":""},"Lean.EnumAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L239-L242","name":"Lean.EnumAttributes","line":239,"kind":"structure","docLink":"./Lean/Attributes.html#Lean.EnumAttributes","doc":"Given a list `[a₁, ..., a_n]` of elements of type `α`, `EnumAttributes` provides an attribute `Attr_i` for\nassociating a value `a_i` with an declaration. `α` is usually an enumeration type.\nNote that whenever we register an `EnumAttributes`, we create `n` attributes, but only one environment extension. "},"Lean.Elab.withoutModifyingStateWithInfoAndMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1714-L1715","name":"Lean.Elab.withoutModifyingStateWithInfoAndMessages","line":1714,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.withoutModifyingStateWithInfoAndMessages","doc":""},"Lean.Elab.withSaveInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L314-L324","name":"Lean.Elab.withSaveInfoContext","line":314,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withSaveInfoContext","doc":"Resets the trees state `t₀`, runs `x` to produce a new trees\nstate `t₁` and sets the state to be `t₀ ++ (InfoTree.context Γ <$> t₁)`\nwhere `Γ` is the context derived from the monad state. "},"Lean.Elab.withMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L334-L340","name":"Lean.Elab.withMacroExpansionInfo","line":334,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withMacroExpansionInfo","doc":""},"Lean.Elab.withLogging":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L207-L209","name":"Lean.Elab.withLogging","line":207,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.withLogging","doc":""},"Lean.Elab.withInfoTreeContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L297-L305","name":"Lean.Elab.withInfoTreeContext","line":297,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoTreeContext","doc":"Saves the current list of trees `t₀`, runs `x` to produce a new tree list `t₁` and\nruns `mkInfoTree t₁` to get `n : InfoTree` and then restores the trees to be `t₀ ++ [n]`."},"Lean.Elab.withInfoHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L342-L352","name":"Lean.Elab.withInfoHole","line":342,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoHole","doc":""},"Lean.Elab.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L280-L293","name":"Lean.Elab.withInfoContext'","line":280,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext'","doc":"Use this to descend a node on the infotree that is being built.\n\nIt saves the current list of trees `t₀` and resets it and then runs `x >>= mkInfo`, producing either an `i : Info` or a hole id.\nRunning `x >>= mkInfo` will modify the trees state and produce a new list of trees `t₁`.\nIn the `i : Info` case, `t₁` become the children of a node `node i t₁` that is appended to `t₀`.\n "},"Lean.Elab.withInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L308-L309","name":"Lean.Elab.withInfoContext","line":308,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext","doc":"Run `x` as a new child infotree node with header given by `mkInfo`. "},"Lean.Elab.withEnableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L357-L363","name":"Lean.Elab.withEnableInfoTree","line":357,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withEnableInfoTree","doc":""},"Lean.Elab.withCommonTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L48-L55","name":"Lean.Elab.withCommonTelescope.go","line":48,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope.go","doc":""},"Lean.Elab.withCommonTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L45-L55","name":"Lean.Elab.withCommonTelescope","line":45,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope","doc":""},"Lean.Elab.wfRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L81-L113","name":"Lean.Elab.wfRecursion","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.wfRecursion","doc":""},"Lean.Elab.unsupportedSyntaxExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L12-L12","name":"Lean.Elab.unsupportedSyntaxExceptionId","line":12,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.unsupportedSyntaxExceptionId","doc":""},"Lean.Elab.toAttributeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L28-L36","name":"Lean.Elab.toAttributeKind","line":28,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.toAttributeKind","doc":"```\nattrKind := leading_parser optional («scoped» <|> «local»)\n```\n"},"Lean.Elab.throwUnsupportedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L21-L22","name":"Lean.Elab.throwUnsupportedSyntax","line":21,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwUnsupportedSyntax","doc":""},"Lean.Elab.throwPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L18-L19","name":"Lean.Elab.throwPostpone","line":18,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwPostpone","doc":""},"Lean.Elab.throwIllFormedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L24-L25","name":"Lean.Elab.throwIllFormedSyntax","line":24,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwIllFormedSyntax","doc":""},"Lean.Elab.throwErrorWithNestedErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L222-L223","name":"Lean.Elab.throwErrorWithNestedErrors","line":222,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.throwErrorWithNestedErrors","doc":""},"Lean.Elab.throwAutoBoundImplicitLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L27-L28","name":"Lean.Elab.throwAutoBoundImplicitLocal","line":27,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAutoBoundImplicitLocal","doc":""},"Lean.Elab.throwAlreadyDeclaredUniverseLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L39-L40","name":"Lean.Elab.throwAlreadyDeclaredUniverseLevel","line":39,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAlreadyDeclaredUniverseLevel","doc":""},"Lean.Elab.throwAbortTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L47-L48","name":"Lean.Elab.throwAbortTerm","line":47,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTerm","doc":""},"Lean.Elab.throwAbortTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L51-L52","name":"Lean.Elab.throwAbortTactic","line":51,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTactic","doc":""},"Lean.Elab.throwAbortCommand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L43-L44","name":"Lean.Elab.throwAbortCommand","line":43,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortCommand","doc":""},"Lean.Elab.syntaxNodeKindOfAttrParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L80-L86","name":"Lean.Elab.syntaxNodeKindOfAttrParam","line":80,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.syntaxNodeKindOfAttrParam","doc":""},"Lean.Elab.sortDeclLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L75-L82","name":"Lean.Elab.sortDeclLevelParams","line":75,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.sortDeclLevelParams","doc":"Sort the given list of `usedParams` using the following order:\n- If it is an explicit level `allUserParams`, then use user given order.\n- Otherwise, use lexicographical.\n\nRemark: `scopeParams` are the universe params introduced using the `universe` command. `allUserParams` contains\nthe universe params introduced using the `universe` command *and* the `.{...}` notation.\n\nRemark: this function return an exception if there is an `u` not in `usedParams`, that is in `allUserParams` but not in `scopeParams`.\n\nRemark: `explicitParams` are in reverse declaration order. That is, the head is the last declared parameter. "},"Lean.Elab.setInfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L207-L208","name":"Lean.Elab.setInfoState","line":207,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.setInfoState","doc":""},"Lean.Elab.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Meta.lean#L13-L17","name":"Lean.Elab.runTactic","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Meta.html#Lean.Elab.runTactic","doc":"Apply the give tactic code to `mvarId` in `MetaM`. "},"Lean.Elab.runFrontend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Frontend.lean#L95-L123","name":"Lean.Elab.runFrontend","line":95,"kind":"def","docLink":"./Lean/Elab/Frontend.html#Lean.Elab.runFrontend","doc":""},"Lean.Elab.resolveGlobalNameWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L266-L272","name":"Lean.Elab.resolveGlobalNameWithInfos","line":266,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalNameWithInfos","doc":"Similar to `resolveGlobalName`, but it also adds the resolved name to the info tree. "},"Lean.Elab.resolveGlobalConstWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L257-L263","name":"Lean.Elab.resolveGlobalConstWithInfos","line":257,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstWithInfos","doc":"Similar to `resolveGlobalConstNoOverloadWithInfo`, except if there are multiple name resolutions then it returns them as a list. "},"Lean.Elab.resolveGlobalConstNoOverloadWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L248-L254","name":"Lean.Elab.resolveGlobalConstNoOverloadWithInfo","line":248,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstNoOverloadWithInfo","doc":"This does the same job as `resolveGlobalConstNoOverload`; resolving an identifier\nsyntax to a unique fully resolved name or throwing if there are ambiguities.\nBut also adds this resolved name to the infotree. 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`Macro.Exception.unsupportedSyntax`.\n"},"Lean.Elab.expandDeclSig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L50-L54","name":"Lean.Elab.expandDeclSig","line":50,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.expandDeclSig","doc":""},"Lean.Elab.expandDeclIdCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L210-L216","name":"Lean.Elab.expandDeclIdCore","line":210,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclIdCore","doc":"`declId` is of the form\n```\nleading_parser ident >> optional (\".{\" >> sepBy1 ident \", \" >> \"}\")\n```\nbut we also accept a single identifier to users to make macro writing more convenient .\n"},"Lean.Elab.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L237-L254","name":"Lean.Elab.expandDeclId","line":237,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclId","doc":"Given a declaration identifier (e.g., `ident (\".{\" ident,+ \"}\")?`) that may contain explicit universe parameters\n- Ensure the new universe parameters do not shadow universe parameters declared using `universe` command.\n- Create the fully qualified named for the declaration using the current namespace, and given `modifiers`\n- Create a short version for recursively referring to the declaration. Recall that the `protected` modifier affects the generation of the short name.\n\nThe result also contains the universe parameters provided using `universe` command, and the `.{...}` notation.\n\nThis commands also stores the doc string stored in `modifiers`.\n"},"Lean.Elab.evalSyntaxConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L92-L92","name":"Lean.Elab.evalSyntaxConstant","line":92,"kind":"opaque","docLink":"./Lean/Elab/Util.html#Lean.Elab.evalSyntaxConstant","doc":""},"Lean.Elab.eraseRecAppSyntaxExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L136-L137","name":"Lean.Elab.eraseRecAppSyntaxExpr","line":136,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntaxExpr","doc":"Eliminate recursive application annotations containing syntax. These annotations are used by the well-founded recursion module\nto produce better error messages. "},"Lean.Elab.eraseRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L139-L140","name":"Lean.Elab.eraseRecAppSyntax","line":139,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntax","doc":""},"Lean.Elab.ensureNoRecFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L181-L188","name":"Lean.Elab.ensureNoRecFn","line":181,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.ensureNoRecFn","doc":""},"Lean.Elab.enableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L354-L355","name":"Lean.Elab.enableInfoTree","line":354,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.enableInfoTree","doc":""},"Lean.Elab.elabSetOption.setOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SetOption.lean#L21-L23","name":"Lean.Elab.elabSetOption.setOption","line":21,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption.setOption","doc":""},"Lean.Elab.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SetOption.lean#L13-L34","name":"Lean.Elab.elabSetOption","line":13,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption","doc":""},"Lean.Elab.elabModifiers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L117-L147","name":"Lean.Elab.elabModifiers","line":117,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.elabModifiers","doc":"Elaborate declaration modifiers (i.e., attributes, `partial`, `private`, `proctected`, `unsafe`, `noncomputable`, doc string)"},"Lean.Elab.elabDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L100-L113","name":"Lean.Elab.elabDeriving","line":100,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.elabDeriving","doc":""},"Lean.Elab.elabDeclAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L67-L68","name":"Lean.Elab.elabDeclAttrs","line":67,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabDeclAttrs","doc":""},"Lean.Elab.elabAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L57-L64","name":"Lean.Elab.elabAttrs","line":57,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttrs","doc":""},"Lean.Elab.elabAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L41-L55","name":"Lean.Elab.elabAttr","line":41,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttr","doc":""},"Lean.Elab.derivingHandlersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L66-L66","name":"Lean.Elab.derivingHandlersRef","line":66,"kind":"opaque","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.derivingHandlersRef","doc":""},"Lean.Elab.defaultHandler":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L84-L85","name":"Lean.Elab.defaultHandler","line":84,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.defaultHandler","doc":""},"Lean.Elab.checkSyntaxNodeKindAtNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L71-L74","name":"Lean.Elab.checkSyntaxNodeKindAtNamespaces","line":71,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L76-L78","name":"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","line":76,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L67-L69","name":"Lean.Elab.checkSyntaxNodeKind","line":67,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKind","doc":""},"Lean.Elab.checkNotAlreadyDeclared":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L16-L37","name":"Lean.Elab.checkNotAlreadyDeclared","line":16,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkNotAlreadyDeclared","doc":"Ensure the environment does not contain a declaration with name `declName`.\nRecall that a private declaration cannot shadow a non-private one and vice-versa, although\nthey internally have different names.\n"},"Lean.Elab.checkIfShadowingStructureField":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L168-L176","name":"Lean.Elab.checkIfShadowingStructureField","line":168,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkIfShadowingStructureField","doc":""},"Lean.Elab.autoImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/AutoBound.lean#L12-L15","name":"Lean.Elab.autoImplicit","line":12,"kind":"opaque","docLink":"./Lean/Elab/AutoBound.html#Lean.Elab.autoImplicit","doc":""},"Lean.Elab.autoBoundImplicitExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L16-L16","name":"Lean.Elab.autoBoundImplicitExceptionId","line":16,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.autoBoundImplicitExceptionId","doc":""},"Lean.Elab.assignInfoHoleId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L329-L331","name":"Lean.Elab.assignInfoHoleId","line":329,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.assignInfoHoleId","doc":""},"Lean.Elab.applyVisibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L154-L166","name":"Lean.Elab.applyVisibility","line":154,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.applyVisibility","doc":"Ensure the function has not already been declared, and apply the given visibility setting to `declName`.\nIf `private`, return the updated name using our internal encoding for private names.\nIf `protected`, register `declName` as protected in the environment.\n"},"Lean.Elab.applyDerivingHandlers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L87-L94","name":"Lean.Elab.applyDerivingHandlers","line":87,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.applyDerivingHandlers","doc":""},"Lean.Elab.applyAttributesOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L61-L63","name":"Lean.Elab.applyAttributesOf","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.applyAttributesOf","doc":""},"Lean.Elab.admitGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L12-L15","name":"Lean.Elab.admitGoal","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.admitGoal","doc":"Assign `mvarId := sorry` "},"Lean.Elab.addPreDefinitions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L97-L164","name":"Lean.Elab.addPreDefinitions","line":97,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.addPreDefinitions","doc":""},"Lean.Elab.addNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L130-L131","name":"Lean.Elab.addNonRec","line":130,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addNonRec","doc":""},"Lean.Elab.addMacroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L56-L65","name":"Lean.Elab.addMacroStack","line":56,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.addMacroStack","doc":""},"Lean.Elab.addDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclarationRange.lean#L54-L61","name":"Lean.Elab.addDeclarationRanges","line":54,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addDeclarationRanges","doc":"Store the `range` and `selectionRange` for `declName` where `stx` is the whole syntax object decribing `declName`.\nThis method is for the builtin declarations only.\nUser-defined commands should use `Lean.addDeclarationRanges` to store this information for their commands. "},"Lean.Elab.addConstInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L234-L242","name":"Lean.Elab.addConstInfo","line":234,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addConstInfo","doc":""},"Lean.Elab.addCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L231-L232","name":"Lean.Elab.addCompletionInfo","line":231,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addCompletionInfo","doc":""},"Lean.Elab.addAuxDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclarationRange.lean#L64-L68","name":"Lean.Elab.addAuxDeclarationRanges","line":64,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addAuxDeclarationRanges","doc":"Auxiliary method for recording ranges for auxiliary declarations (e.g., fields, nested declarations, etc. "},"Lean.Elab.addAsAxiom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L73-L75","name":"Lean.Elab.addAsAxiom","line":73,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAsAxiom","doc":"Auxiliary method for (temporarily) adding pre definition as an axiom "},"Lean.Elab.addAndCompileUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L142-L161","name":"Lean.Elab.addAndCompileUnsafe","line":142,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileUnsafe","doc":""},"Lean.Elab.addAndCompilePartialRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L163-L176","name":"Lean.Elab.addAndCompilePartialRec","line":163,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompilePartialRec","doc":""},"Lean.Elab.addAndCompileNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L127-L128","name":"Lean.Elab.addAndCompileNonRec","line":127,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileNonRec","doc":""},"Lean.Elab.adaptMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L183-L184","name":"Lean.Elab.adaptMacro","line":183,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.adaptMacro","doc":""},"Lean.Elab.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L65-L70","name":"Lean.Elab.abstractNestedProofs","line":65,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.abstractNestedProofs","doc":""},"Lean.Elab.abortTermExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L14-L14","name":"Lean.Elab.abortTermExceptionId","line":14,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTermExceptionId","doc":""},"Lean.Elab.abortTacticExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L15-L15","name":"Lean.Elab.abortTacticExceptionId","line":15,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTacticExceptionId","doc":""},"Lean.Elab.abortCommandExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L13-L13","name":"Lean.Elab.abortCommandExceptionId","line":13,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortCommandExceptionId","doc":""},"Lean.Elab.WF.withFixedPrefix.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L126-L131","name":"Lean.Elab.WF.withFixedPrefix.go","line":126,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix.go","doc":""},"Lean.Elab.WF.withFixedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L123-L131","name":"Lean.Elab.WF.withFixedPrefix","line":123,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix","doc":""},"Lean.Elab.WF.simpMatchWF?.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L112-L127","name":"Lean.Elab.WF.simpMatchWF?.pre","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?.pre","doc":""},"Lean.Elab.WF.simpMatchWF?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L105-L127","name":"Lean.Elab.WF.simpMatchWF?","line":105,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?","doc":"Simplify `match`-expressions when trying to prove equation theorems for a recursive declaration defined using well-founded recursion.\nIt is similar to `simpMatch?`, but is also tries to fold `WellFounded.fix` applications occurring in discriminants.\nSee comment at `tryToFoldWellFoundedFix`.\n"},"Lean.Elab.WF.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L211-L222","name":"Lean.Elab.WF.registerEqnsInfo","line":211,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.registerEqnsInfo","doc":""},"Lean.Elab.WF.packMutual":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L174-L188","name":"Lean.Elab.WF.packMutual","line":174,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.packMutual","doc":"If `preDefs.size > 1`, combine different functions in a single one using `PSum`.\nThis method assumes all `preDefs` have arity 1, and have already been processed using `packDomain`.\nHere is a small example. Suppose the input is\n```\nf x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (g ⟨x.1, n, a, b⟩).fst\ng x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (h ⟨x.1, n, a, b⟩, a)\nh x =>\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b => f ⟨x.1, n, a, b⟩\n```\nthis method produces the following pre definition\n```\nf._mutual x :=\n PSum.casesOn x\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inl ⟨val.1, n, a, b⟩))).fst\n fun val =>\n PSum.casesOn val\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inr ⟨val.1, n, a, b⟩)), a)\n fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b =>\n f._mutual (PSum.inl ⟨val.1, n, a, b⟩)\n```\n\nRemark: `preDefsOriginal` is used for error reporting, it contains the definitions before applying `packDomain`.\n"},"Lean.Elab.WF.packDomain.packApplications.visitApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L148-L173","name":"Lean.Elab.WF.packDomain.packApplications.visitApp","line":148,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visitApp","doc":""},"Lean.Elab.WF.packDomain.packApplications.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L131-L147","name":"Lean.Elab.WF.packDomain.packApplications.visit","line":131,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visit","doc":""},"Lean.Elab.WF.packDomain.packApplications":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L121-L174","name":"Lean.Elab.WF.packDomain.packApplications","line":121,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications","doc":""},"Lean.Elab.WF.packDomain.isAppOfPreDef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L116-L119","name":"Lean.Elab.WF.packDomain.isAppOfPreDef?","line":116,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.isAppOfPreDef?","doc":"Return `some i` if `e` is a `preDefs[i]` application "},"Lean.Elab.WF.packDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L61-L174","name":"Lean.Elab.WF.packDomain","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain","doc":"Convert the given pre-definitions into unary functions.\nWe \"pack\" the arguments using `PSigma`.\n"},"Lean.Elab.WF.mkUnaryArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L29-L41","name":"Lean.Elab.WF.mkUnaryArg.go","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg.go","doc":""},"Lean.Elab.WF.mkUnaryArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L26-L41","name":"Lean.Elab.WF.mkUnaryArg","line":26,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg","doc":"Create a unary application by packing the given arguments using `PSigma.mk` "},"Lean.Elab.WF.mkFix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Fix.lean#L166-L189","name":"Lean.Elab.WF.mkFix","line":166,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Fix.html#Lean.Elab.WF.mkFix","doc":""},"Lean.Elab.WF.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L187-L207","name":"Lean.Elab.WF.mkEqns","line":187,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.mkEqns","doc":""},"Lean.Elab.WF.instInhabitedTerminationHintValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L15-L15","name":"Lean.Elab.WF.instInhabitedTerminationHintValue","line":15,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHintValue","doc":""},"Lean.Elab.WF.instInhabitedTerminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L21-L21","name":"Lean.Elab.WF.instInhabitedTerminationHint","line":21,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHint","doc":""},"Lean.Elab.WF.instInhabitedTerminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L84-L84","name":"Lean.Elab.WF.instInhabitedTerminationByElement","line":84,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationByElement","doc":""},"Lean.Elab.WF.instInhabitedTerminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L93-L93","name":"Lean.Elab.WF.instInhabitedTerminationBy","line":93,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationBy","doc":""},"Lean.Elab.WF.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L19-L19","name":"Lean.Elab.WF.instInhabitedEqnInfo","line":19,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.instInhabitedEqnInfo","doc":""},"Lean.Elab.WF.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L230-L232","name":"Lean.Elab.WF.getUnfoldFor?","line":230,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.getUnfoldFor?","doc":""},"Lean.Elab.WF.getNumCandidateArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Rel.lean#L56-L59","name":"Lean.Elab.WF.getNumCandidateArgs","line":56,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getNumCandidateArgs","doc":""},"Lean.Elab.WF.getForbiddenByTrivialSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Rel.lean#L68-L78","name":"Lean.Elab.WF.getForbiddenByTrivialSizeOf","line":68,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getForbiddenByTrivialSizeOf","doc":"Given a predefinition with value `fun (x_₁ ... xₙ) (y_₁ : α₁)... (yₘ : αₘ) => ...`,\nwhere `n = fixedPrefixSize`, return an array `A` s.t. `i ∈ A` iff `sizeOf yᵢ` reduces to a literal.\nThis is the case for types such as `Prop`, `Type u`, etc.\nThis arguments should not be considered when guessing a well-founded relation.\nSee 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"},"Lean.Elab.UserWidgetInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.UserWidgetInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo.mk","doc":""},"Lean.Elab.UserWidgetInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L144-L145","name":"Lean.Elab.UserWidgetInfo.format","line":144,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.UserWidgetInfo.format","doc":""},"Lean.Elab.UserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L102-L108","name":"Lean.Elab.UserWidgetInfo","line":102,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo","doc":"An info that represents a user-widget.\nUser-widgets are custom pieces of code that run on the editor client.\nYou can learn about user widgets at `src/Lean/Widget/UserWidget`\n"},"Lean.Elab.TerminationHints.terminationBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L17-L17","name":"Lean.Elab.TerminationHints.terminationBy?","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.terminationBy?","doc":""},"Lean.Elab.TerminationHints.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L1-L1","name":"Lean.Elab.TerminationHints.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.mk","doc":""},"Lean.Elab.TerminationHints.decreasingBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L18-L18","name":"Lean.Elab.TerminationHints.decreasingBy?","line":18,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.decreasingBy?","doc":""},"Lean.Elab.TerminationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L16-L19","name":"Lean.Elab.TerminationHints","line":16,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints","doc":""},"Lean.Elab.TermInfo.runMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L99-L100","name":"Lean.Elab.TermInfo.runMetaM","line":99,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.runMetaM","doc":""},"Lean.Elab.TermInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TermInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.mk","doc":""},"Lean.Elab.TermInfo.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L37-L37","name":"Lean.Elab.TermInfo.lctx","line":37,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.lctx","doc":""},"Lean.Elab.TermInfo.isBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L40-L40","name":"Lean.Elab.TermInfo.isBinder","line":40,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.isBinder","doc":""},"Lean.Elab.TermInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L102-L108","name":"Lean.Elab.TermInfo.format","line":102,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.format","doc":""},"Lean.Elab.TermInfo.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L39-L39","name":"Lean.Elab.TermInfo.expr","line":39,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expr","doc":""},"Lean.Elab.TermInfo.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L38-L38","name":"Lean.Elab.TermInfo.expectedType?","line":38,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expectedType?","doc":""},"Lean.Elab.TermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L36-L41","name":"Lean.Elab.TermInfo","line":36,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo","doc":""},"Lean.Elab.Term.withoutSavingRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L358-L359","name":"Lean.Elab.Term.withoutSavingRecAppSyntax","line":358,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutSavingRecAppSyntax","doc":"Execute `x` without storing `Syntax` for recursive applications. See `saveRecAppSyntax` field at `Context`.\n"},"Lean.Elab.Term.withoutPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L576-L577","name":"Lean.Elab.Term.withoutPostponing","line":576,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutPostponing","doc":"Execute `x` without allowing it to postpone elaboration tasks.\nThat is, `tryPostpone` is a noop. "},"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L335-L342","name":"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","line":335,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","doc":"Execute `x` but discard changes performed at `Term.State` and `Meta.State`.\nRecall that the `Environment` and `InfoState` are at `Core.State`. Thus, any updates to it will\nbe preserved. This method is useful for performing computations where all\nmetavariable must be resolved or discarded.\nThe `InfoTree`s are not discarded, however, and wrapped in `InfoTree.Context`\nto store their metavariable context. "},"Lean.Elab.Term.withoutMacroStackAtErr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L668-L669","name":"Lean.Elab.Term.withoutMacroStackAtErr","line":668,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutMacroStackAtErr","doc":""},"Lean.Elab.Term.withoutErrToSorryImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L424-L425","name":"Lean.Elab.Term.withoutErrToSorryImp","line":424,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorryImp","doc":""},"Lean.Elab.Term.withoutErrToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L431-L432","name":"Lean.Elab.Term.withoutErrToSorry","line":431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorry","doc":"Execute `x` without converting errors (i.e., exceptions) to `sorry` applications.\nRecall that when `errToSorry = true`, the method `elabTerm` catches exceptions and converts them into `sorry` applications.\n"},"Lean.Elab.Term.withoutAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1494-L1495","name":"Lean.Elab.Term.withoutAutoBoundImplicit","line":1494,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutAutoBoundImplicit","doc":""},"Lean.Elab.Term.withSynthesizeLight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L467-L468","name":"Lean.Elab.Term.withSynthesizeLight","line":467,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesizeLight","doc":"Similar to `withSynthesize`, but sets `mayPostpone` to `true`, and do not use `synthesizeUsingDefault` "},"Lean.Elab.Term.withSynthesize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L463-L464","name":"Lean.Elab.Term.withSynthesize","line":463,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesize","doc":"Execute `k`, and synthesize pending synthetic metavariables created while executing `k` are solved.\nIf `mayPostpone == false`, then all of them must be synthesized.\nRemark: even if `mayPostpone == true`, the method still uses `synthesizeUsingDefault` "},"Lean.Elab.Term.withSavedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L866-L869","name":"Lean.Elab.Term.withSavedContext","line":866,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withSavedContext","doc":"Execute `x` with the context saved using `saveContext`.\n"},"Lean.Elab.Term.withPushMacroExpansionStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L460-L461","name":"Lean.Elab.Term.withPushMacroExpansionStack","line":460,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withPushMacroExpansionStack","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Term.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L464-L466","name":"Lean.Elab.Term.withMacroExpansion","line":464,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack and produce macro expansion info "},"Lean.Elab.Term.withLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L410-L413","name":"Lean.Elab.Term.withLevelNames","line":410,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withLevelNames","doc":"Execute `x` using `levelNames` as the universe level parameter names. See `getLevelNames`. "},"Lean.Elab.Term.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L964-L969","name":"Lean.Elab.Term.withInfoContext'","line":964,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withInfoContext'","doc":""},"Lean.Elab.Term.withDepElimPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L720-L721","name":"Lean.Elab.Term.withDepElimPatterns","line":720,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.withDepElimPatterns","doc":""},"Lean.Elab.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L402-L403","name":"Lean.Elab.Term.withDeclName","line":402,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withDeclName","doc":"Execute `x` with `declName? := name`. See `getDeclName?`. "},"Lean.Elab.Term.withAuxDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L419-L422","name":"Lean.Elab.Term.withAuxDecl","line":419,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAuxDecl","doc":"Declare an auxiliary local declaration `shortDeclName : type` for elaborating recursive declaration `declName`,\nupdate the mapping `auxDeclToFullName`, and then execute `k`.\n"},"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1497-L1498","name":"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","line":1497,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","doc":""},"Lean.Elab.Term.withAutoBoundImplicit.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1478-L1489","name":"Lean.Elab.Term.withAutoBoundImplicit.loop","line":1478,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit.loop","doc":""},"Lean.Elab.Term.withAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1474-L1492","name":"Lean.Elab.Term.withAutoBoundImplicit","line":1474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit","doc":"Enable auto-bound implicits, and execute `k` while catching auto bound implicit exceptions. When an exception is caught,\na new local declaration is created, registered, and `k` is tried to be executed again. "},"Lean.Elab.Term.universeConstraintsCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1684-L1687","name":"Lean.Elab.Term.universeConstraintsCheckpoint","line":1684,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.universeConstraintsCheckpoint","doc":"Execute `x` and then tries to solve pending universe constraints.\nNote that, stuck constraints will not be discarded.\n"},"Lean.Elab.Term.tryPostponeIfNoneOrMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L823-L826","name":"Lean.Elab.Term.tryPostponeIfNoneOrMVar","line":823,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfNoneOrMVar","doc":"If `e? = some e`, then `tryPostponeIfMVar e`, otherwise it is just `tryPostpone`. "},"Lean.Elab.Term.tryPostponeIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L818-L820","name":"Lean.Elab.Term.tryPostponeIfMVar","line":818,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfMVar","doc":"If `mayPostpone == true` and `e`'s head is a metavariable, throw `Exception.postpone`. "},"Lean.Elab.Term.tryPostponeIfHasMVars?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L832-L839","name":"Lean.Elab.Term.tryPostponeIfHasMVars?","line":832,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars?","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIt is a noop if `mayPostpone == false`.\n"},"Lean.Elab.Term.tryPostponeIfHasMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L845-L848","name":"Lean.Elab.Term.tryPostponeIfHasMVars","line":845,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIf `mayPostpone == false`, it throws error `msg`.\n"},"Lean.Elab.Term.tryPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L809-L811","name":"Lean.Elab.Term.tryPostpone","line":809,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostpone","doc":"If `mayPostpone == true`, throw `Expection.postpone`. "},"Lean.Elab.Term.traceAtCmdPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L439-L440","name":"Lean.Elab.Term.traceAtCmdPos","line":439,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.traceAtCmdPos","doc":""},"Lean.Elab.Term.toParserDescr.processSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L138-L147","name":"Lean.Elab.Term.toParserDescr.processSeq","line":138,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSeq","doc":"Sequence (aka NullNode) "},"Lean.Elab.Term.toParserDescr.processSepBy1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L227-L232","name":"Lean.Elab.Term.toParserDescr.processSepBy1","line":227,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy1","doc":""},"Lean.Elab.Term.toParserDescr.processSepBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L220-L225","name":"Lean.Elab.Term.toParserDescr.processSepBy","line":220,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy","doc":""},"Lean.Elab.Term.toParserDescr.processParserCategory":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L153-L159","name":"Lean.Elab.Term.toParserDescr.processParserCategory","line":153,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processParserCategory","doc":""},"Lean.Elab.Term.toParserDescr.processNullaryOrCat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L193-L218","name":"Lean.Elab.Term.toParserDescr.processNullaryOrCat","line":193,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNullaryOrCat","doc":""},"Lean.Elab.Term.toParserDescr.processNonReserved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L254-L256","name":"Lean.Elab.Term.toParserDescr.processNonReserved","line":254,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNonReserved","doc":""},"Lean.Elab.Term.toParserDescr.processAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L241-L252","name":"Lean.Elab.Term.toParserDescr.processAtom","line":241,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAtom","doc":""},"Lean.Elab.Term.toParserDescr.processAlias":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L161-L191","name":"Lean.Elab.Term.toParserDescr.processAlias","line":161,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAlias","doc":""},"Lean.Elab.Term.toParserDescr.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L109-L135","name":"Lean.Elab.Term.toParserDescr.process","line":109,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.process","doc":""},"Lean.Elab.Term.toParserDescr.isValidAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L234-L239","name":"Lean.Elab.Term.toParserDescr.isValidAtom","line":234,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.isValidAtom","doc":""},"Lean.Elab.Term.toParserDescr.ensureNoPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L149-L151","name":"Lean.Elab.Term.toParserDescr.ensureNoPrec","line":149,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.ensureNoPrec","doc":""},"Lean.Elab.Term.toParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L103-L256","name":"Lean.Elab.Term.toParserDescr","line":103,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr","doc":"Given a `stx` of category `syntax`, return a `(newStx, lhsPrec?)`,\nwhere `newStx` is of category `term`. After elaboration, `newStx` should have type\n`TrailingParserDescr` if `lhsPrec?.isSome`, and `ParserDescr` otherwise. "},"Lean.Elab.Term.throwTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L647-L666","name":"Lean.Elab.Term.throwTypeMismatchError","line":647,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwTypeMismatchError","doc":""},"Lean.Elab.Term.throwMVarError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L502-L506","name":"Lean.Elab.Term.throwMVarError","line":502,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwMVarError","doc":"Auxiliary method for reporting errors of the form \"... contains metavariables ...\".\nThis kind of error is thrown, for example, at `Match.lean` where elaboration\ncannot continue if there are metavariables in patterns.\nWe only want to log it if we haven't logged any errors so far. "},"Lean.Elab.Term.throwInvalidNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L33-L36","name":"Lean.Elab.Term.throwInvalidNamedArg","line":33,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.throwInvalidNamedArg","doc":""},"Lean.Elab.Term.throwErrorIfErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L435-L437","name":"Lean.Elab.Term.throwErrorIfErrors","line":435,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwErrorIfErrors","doc":"For testing `TermElabM` methods. The #eval command will sign the error. "},"Lean.Elab.Term.termElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L367-L367","name":"Lean.Elab.Term.termElabAttribute","line":367,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.termElabAttribute","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L443-L445","name":"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","line":443,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L434-L435","name":"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","line":434,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L397-L428","name":"Lean.Elab.Term.synthesizeSyntheticMVars.loop","line":397,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars.loop","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L396-L431","name":"Lean.Elab.Term.synthesizeSyntheticMVars","line":396,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars","doc":"Try to process pending synthetic metavariables. If `mayPostpone == false`,\nthen `pendingMVars` is `[]` after executing this method.\n\nIt keeps executing `synthesizeSyntheticMVarsStep` while progress is being made.\nIf `mayPostpone == false`, then it applies default instances to `SyntheticMVarKind.typeClass` (if available)\nmetavariables that are still unresolved, and then tries to resolve metavariables\nwith `mayPostpone == false`. That is, we force them to produce error messages and/or commit to\na \"best option\". If, after that, we still haven't made progress, we report \"stuck\" errors.\n\nRemark: we set `ignoreStuckTC := true` when elaborating `simp` arguments. Then,\npending TC problems become implicit parameters for the simp theorem.\n"},"Lean.Elab.Term.synthesizeInstMVarCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L715-L759","name":"Lean.Elab.Term.synthesizeInstMVarCore","line":715,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.synthesizeInstMVarCore","doc":"Try to synthesize metavariable using type class resolution.\nThis method assumes the local context and local instances of `instMVar` coincide\nwith the current local context and local instances.\nReturn `true` if the instance was synthesized successfully, and `false` if\nthe instance contains unassigned metavariables that are blocking the type class\nresolution procedure. Throw an exception if resolution or assignment irrevocably fails.\n"},"Lean.Elab.Term.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L58-L62","name":"Lean.Elab.Term.synthesizeAppInstMVars","line":58,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.synthesizeAppInstMVars","doc":""},"Lean.Elab.Term.shouldExpandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L42-L44","name":"Lean.Elab.Term.shouldExpandMatchAlt","line":42,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.shouldExpandMatchAlt","doc":""},"Lean.Elab.Term.setLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L406-L407","name":"Lean.Elab.Term.setLevelNames","line":406,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.setLevelNames","doc":"Update the universe level parameter names. "},"Lean.Elab.Term.setElabConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Config.lean#L56-L57","name":"Lean.Elab.Term.setElabConfig","line":56,"kind":"def","docLink":"./Lean/Elab/Config.html#Lean.Elab.Term.setElabConfig","doc":"Set `isDefEq` configuration for the elaborator.\nNote that we enable all approximations but `quasiPatternApprox`\n\nIn Lean3 and Lean 4, we used to use the quasi-pattern approximation during elaboration.\nThe example:\n```\ndef ex : StateT δ (StateT σ Id) σ :=\nmonadLift (get : StateT σ Id σ)\n```\ndemonstrates why it produces counterintuitive behavior.\nWe have the `Monad-lift` application:\n```\n@monadLift ?m ?n ?c ?α (get : StateT σ id σ) : ?n ?α\n```\nIt produces the following unification problem when we process the expected type:\n```\n?n ?α =?= StateT δ (StateT σ id) σ\n==> (approximate using first-order unification)\n?n := StateT δ (StateT σ id)\n?α := σ\n```\nThen, we need to solve:\n```\n?m ?α =?= StateT σ id σ\n==> instantiate metavars\n?m σ =?= StateT σ id σ\n==> (approximate since it is a quasi-pattern unification constraint)\n?m := fun σ => StateT σ id σ\n```\nNote that the constraint is not a Milner pattern because σ is in\nthe local context of `?m`. We are ignoring the other possible solutions:\n```\n?m := fun σ' => StateT σ id σ\n?m := fun σ' => StateT σ' id σ\n?m := fun σ' => StateT σ id σ'\n```\n\nWe need the quasi-pattern approximation for elaborating recursor-like expressions (e.g., dependent `match with` expressions).\n\nIf we had use first-order unification, then we would have produced\nthe right answer: `?m := StateT σ id`\n\nHaskell would work on this example since it always uses\nfirst-order unification.\n"},"Lean.Elab.Term.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L246-L247","name":"Lean.Elab.Term.saveState","line":246,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveState","doc":""},"Lean.Elab.Term.saveContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L853-L861","name":"Lean.Elab.Term.saveContext","line":853,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveContext","doc":"Save relevant context for term elaboration postponement.\n"},"Lean.Elab.Term.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L295-L329","name":"Lean.Elab.Term.runTactic","line":295,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runTactic","doc":"Try to synthesize a term `val` using the tactic code `tacticCode`, and then assign `mvarId := val`.\n"},"Lean.Elab.Term.runPendingTacticsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L480-L486","name":"Lean.Elab.Term.runPendingTacticsAt","line":480,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runPendingTacticsAt","doc":"Collect unassigned metavariables at `e` that have associated tactic blocks, and then execute them using `runTactic`.\nWe use this method at the `match .. with` elaborator when it cannot be postponed anymore, but it is still waiting\nthe result of a tactic block.\n"},"Lean.Elab.Term.resolveName.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1622-L1630","name":"Lean.Elab.Term.resolveName.process","line":1622,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName.process","doc":""},"Lean.Elab.Term.resolveName'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1636-L1643","name":"Lean.Elab.Term.resolveName'","line":1636,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName'","doc":"Similar to `resolveName`, but creates identifiers for the main part and each projection with position information derived from `ident`.\nExample: Assume resolveName `v.head.bla.boo` produces `(v.head, [\"bla\", \"boo\"])`, then this method produces\n`(v.head, id, [f₁, f₂])` where `id` is an identifier for `v.head`, and `f₁` and `f₂` are identifiers for fields `\"bla\"` and `\"boo\"`. "},"Lean.Elab.Term.resolveName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1604-L1630","name":"Lean.Elab.Term.resolveName","line":1604,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName","doc":""},"Lean.Elab.Term.resolveLocalName.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1237-L1249","name":"Lean.Elab.Term.resolveLocalName.loop","line":1237,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.loop","doc":""},"Lean.Elab.Term.resolveLocalName.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1186-L1191","name":"Lean.Elab.Term.resolveLocalName.go","line":1186,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.go","doc":""},"Lean.Elab.Term.resolveLocalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1102-L1250","name":"Lean.Elab.Term.resolveLocalName","line":1102,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName","doc":""},"Lean.Elab.Term.resolveId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1645-L1657","name":"Lean.Elab.Term.resolveId?","line":1645,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveId?","doc":""},"Lean.Elab.Term.reportUnsolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L20-L22","name":"Lean.Elab.Term.reportUnsolvedGoals","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Term.reportUnsolvedGoals","doc":""},"Lean.Elab.Term.reportStuckSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L209-L223","name":"Lean.Elab.Term.reportStuckSyntheticMVar","line":209,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.reportStuckSyntheticMVar","doc":"We use this method to report typeclass (and coercion) resolution problems that are \"stuck\".\nThat is, there is nothing else to do, and we don't have enough information to synthesize them using TC resolution.\n"},"Lean.Elab.Term.reportMatcherResultErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L989-L999","name":"Lean.Elab.Term.reportMatcherResultErrors","line":989,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.reportMatcherResultErrors","doc":""},"Lean.Elab.Term.removeSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L911-L914","name":"Lean.Elab.Term.removeSaveInfoAnnotation","line":911,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.removeSaveInfoAnnotation","doc":""},"Lean.Elab.Term.registerSyntheticMVarWithCurrRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L474-L475","name":"Lean.Elab.Term.registerSyntheticMVarWithCurrRef","line":474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVarWithCurrRef","doc":""},"Lean.Elab.Term.registerSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L471-L472","name":"Lean.Elab.Term.registerSyntheticMVar","line":471,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVar","doc":"Add the given metavariable to the list of pending synthetic metavariables.\nThe method `synthesizeSyntheticMVars` is used to process the metavariables on this list. "},"Lean.Elab.Term.registerMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L477-L478","name":"Lean.Elab.Term.registerMVarErrorInfo","line":477,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorInfo","doc":""},"Lean.Elab.Term.registerMVarErrorImplicitArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L483-L484","name":"Lean.Elab.Term.registerMVarErrorImplicitArgInfo","line":483,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorImplicitArgInfo","doc":""},"Lean.Elab.Term.registerMVarErrorHoleInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L480-L481","name":"Lean.Elab.Term.registerMVarErrorHoleInfo","line":480,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorHoleInfo","doc":""},"Lean.Elab.Term.registerMVarErrorCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L486-L487","name":"Lean.Elab.Term.registerMVarErrorCustomInfo","line":486,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorCustomInfo","doc":""},"Lean.Elab.Term.registerCustomErrorIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L492-L495","name":"Lean.Elab.Term.registerCustomErrorIfMVar","line":492,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerCustomErrorIfMVar","doc":""},"Lean.Elab.Term.quoteAutoTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L71-L86","name":"Lean.Elab.Term.quoteAutoTactic","line":71,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.quoteAutoTactic","doc":""},"Lean.Elab.Term.processDefDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L41-L59","name":"Lean.Elab.Term.processDefDeriving","line":41,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.Term.processDefDeriving","doc":""},"Lean.Elab.Term.precheckMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L160-L168","name":"Lean.Elab.Term.precheckMatch","line":160,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.precheckMatch","doc":""},"Lean.Elab.Term.precheckFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L607-L616","name":"Lean.Elab.Term.precheckFun","line":607,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckFun","doc":""},"Lean.Elab.Term.precheckArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L272-L276","name":"Lean.Elab.Term.precheckArrow","line":272,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckArrow","doc":""},"Lean.Elab.Term.ppGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L442-L443","name":"Lean.Elab.Term.ppGoal","line":442,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ppGoal","doc":""},"Lean.Elab.Term.postponeElabTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L976-L978","name":"Lean.Elab.Term.postponeElabTerm","line":976,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.postponeElabTerm","doc":"Postpone the elaboration of `stx`, return a metavariable that acts as a placeholder, and\nensures the info tree is updated and a hole id is introduced.\nWhen `stx` is elaborated, new info nodes are created and attached to the new hole id in the info tree.\n"},"Lean.Elab.Term.observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L271-L286","name":"Lean.Elab.Term.observing","line":271,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.observing","doc":"Execute `x`, save resulting expression and new state.\nWe remove any `Info` created by `x`.\nThe info nodes are committed when we execute `applyResult`.\nWe use `observing` to implement overloaded notation and decls.\nWe want to save `Info` nodes for the chosen alternative.\n"},"Lean.Elab.Term.mkTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L641-L645","name":"Lean.Elab.Term.mkTypeMismatchError","line":641,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTypeMismatchError","doc":""},"Lean.Elab.Term.mkTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L930-L935","name":"Lean.Elab.Term.mkTermInfo","line":930,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermInfo","doc":""},"Lean.Elab.Term.mkTermElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L361-L362","name":"Lean.Elab.Term.mkTermElabAttributeUnsafe","line":361,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttributeUnsafe","doc":""},"Lean.Elab.Term.mkTermElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L365-L365","name":"Lean.Elab.Term.mkTermElabAttribute","line":365,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttribute","doc":""},"Lean.Elab.Term.mkSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L902-L906","name":"Lean.Elab.Term.mkSaveInfoAnnotation","line":902,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkSaveInfoAnnotation","doc":"Create an auxiliary annotation to make sure we create an `Info` even if `e` is a metavariable.\nSee `mkTermInfo`.\n\nWe use this function because some elaboration functions elaborate subterms that may not be immediately\npart of the resulting term. Example:\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nIf the type of `b` is not known, then `wait_if_type_mvar% ?m; body` is postponed and just returns a fresh\nmetavariable `?n`. The elaborator for\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nreturns `mkSaveInfoAnnotation ?n` to make sure the info nodes created when elaborating `b` are \"saved\".\nThis is a bit hackish, but elaborators like `let_mvar%` are rare.\n"},"Lean.Elab.Term.mkPairs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L194-L201","name":"Lean.Elab.Term.mkPairs.loop","line":194,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs.loop","doc":""},"Lean.Elab.Term.mkPairs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L193-L202","name":"Lean.Elab.Term.mkPairs","line":193,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs","doc":"Return syntax `Prod.mk elems[0] (Prod.mk elems[1] ... (Prod.mk elems[elems.size - 2] elems[elems.size - 1])))` "},"Lean.Elab.Term.mkNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1089-L1093","name":"Lean.Elab.Term.mkNoImplicitLambdaAnnotation","line":1089,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L981-L982","name":"Lean.Elab.Term.mkMatcher","line":981,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.mkMatcher","doc":""},"Lean.Elab.Term.mkLetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L694-L701","name":"Lean.Elab.Term.mkLetIdDeclView","line":694,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.mkLetIdDeclView","doc":""},"Lean.Elab.Term.mkInstMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1440-L1445","name":"Lean.Elab.Term.mkInstMVar","line":1440,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkInstMVar","doc":"Create a new metavariable with the given type, and try to synthesize it.\nIf type class resolution cannot be executed (e.g., it is stuck because of metavariables in `type`),\nregister metavariable as a pending one.\n"},"Lean.Elab.Term.mkFreshIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L603-L604","name":"Lean.Elab.Term.mkFreshIdent","line":603,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshIdent","doc":"Auxiliary method for creating a `Syntax.ident` containing\na fresh name. This method is intended for creating fresh binder names.\nIt is just a thin layer on top of `mkFreshUserName`. "},"Lean.Elab.Term.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L596-L597","name":"Lean.Elab.Term.mkFreshBinderName","line":596,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshBinderName","doc":"Auxiliary method for creating fresh binder names.\nDo not confuse with the method for creating fresh free/meta variable ids. "},"Lean.Elab.Term.mkExplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L580-L581","name":"Lean.Elab.Term.mkExplicitBinder","line":580,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkExplicitBinder","doc":"Creates syntax for `(` `:` `)` "},"Lean.Elab.Term.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1588-L1595","name":"Lean.Elab.Term.mkConst","line":1588,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkConst","doc":"Create an `Expr.const` using the given name and explicit levels.\nRemark: fresh universe metavariables are created if the constant has more universe\nparameters than `explicitLevels`. "},"Lean.Elab.Term.mkCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L761-L774","name":"Lean.Elab.Term.mkCoe","line":761,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkCoe","doc":""},"Lean.Elab.Term.mkCalcTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L27-L44","name":"Lean.Elab.Term.mkCalcTrans","line":27,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.mkCalcTrans","doc":""},"Lean.Elab.Term.mkAuxName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1569-L1572","name":"Lean.Elab.Term.mkAuxName","line":1569,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkAuxName","doc":""},"Lean.Elab.Term.match.ignoreUnusedAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L984-L987","name":"Lean.Elab.Term.match.ignoreUnusedAlts","line":984,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.match.ignoreUnusedAlts","doc":""},"Lean.Elab.Term.logUnassignedUsingErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L541-L565","name":"Lean.Elab.Term.logUnassignedUsingErrorInfos","line":541,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.logUnassignedUsingErrorInfos","doc":"Try to log errors for the unassigned metavariables `pendingMVarIds`.\n\nReturn `true` if there were \"unfilled holes\", and we should \"abort\" declaration.\nTODO: try to fill \"all\" holes using synthetic \"sorry's\"\n\nRemark: We only log the \"unfilled holes\" as new errors if no error has been logged so far. "},"Lean.Elab.Term.liftLevelM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L447-L454","name":"Lean.Elab.Term.liftLevelM","line":447,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.liftLevelM","doc":""},"Lean.Elab.Term.levelMVarToParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L586-L591","name":"Lean.Elab.Term.levelMVarToParam","line":586,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.levelMVarToParam","doc":"Convert unassigned universe level metavariables into parameters.\nThe new parameter names are fresh names of the form `u_i` with regard to `ctx.levelNames`, which is updated with the new names. "},"Lean.Elab.Term.kindOfBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L65-L69","name":"Lean.Elab.Term.kindOfBinderName","line":65,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.kindOfBinderName","doc":"Determines the local declaration kind depending on the variable name.\n\nThe `__x` in `let __x := 42; body` gets kind `.implDetail`.\n"},"Lean.Elab.Term.isTacticOrPostponedHole?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L921-L928","name":"Lean.Elab.Term.isTacticOrPostponedHole?","line":921,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isTacticOrPostponedHole?","doc":"Return `some mvarId` if `e` corresponds to a hole that is going to be filled \"later\" by executing a tactic or resuming elaboration.\n\nWe do not save `ofTermInfo` for this kind of node in the `InfoTree`.\n"},"Lean.Elab.Term.isSaveInfoAnnotation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L908-L909","name":"Lean.Elab.Term.isSaveInfoAnnotation?","line":908,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isSaveInfoAnnotation?","doc":""},"Lean.Elab.Term.isMVarApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L814-L815","name":"Lean.Elab.Term.isMVarApp","line":814,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isMVarApp","doc":"Return `true` if `e` reduces (by unfolding only `[reducible]` declarations) to `?m ...` "},"Lean.Elab.Term.isLocalIdent?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1253-L1260","name":"Lean.Elab.Term.isLocalIdent?","line":1253,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLocalIdent?","doc":"Return true iff `stx` is a `Syntax.ident`, and it is a local variable. "},"Lean.Elab.Term.isLetRecAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1578-L1582","name":"Lean.Elab.Term.isLetRecAuxMVar","line":1578,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLetRecAuxMVar","doc":"Return true if mvarId is an auxiliary metavariable created for compiling `let rec` or it\nis delayed assigned to one. "},"Lean.Elab.Term.isAtomicDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L45-L50","name":"Lean.Elab.Term.isAtomicDiscr","line":45,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.isAtomicDiscr","doc":"Remark: if the discriminat is `Systax.missing`, we abort the elaboration of the `match`-expression.\nThis can happen due to error recovery. Example\n```\nexample : (p ∨ p) → p := fun h => match\n```\nIf we don't abort, the elaborator loops because we will keep trying to expand\n```\nmatch\n```\ninto\n```\nlet d := ; match\n```\nRecall that `Syntax.setArg stx i arg` is a no-op when `i` is out-of-bounds. "},"Lean.Elab.Term.instToStringSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L42-L47","name":"Lean.Elab.Term.instToStringSyntheticMVarKind","line":42,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringSyntheticMVarKind","doc":""},"Lean.Elab.Term.instToStringNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L30-L31","name":"Lean.Elab.Term.instToStringNamedArg","line":30,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringNamedArg","doc":""},"Lean.Elab.Term.instToStringMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L67-L71","name":"Lean.Elab.Term.instToStringMVarErrorKind","line":67,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringMVarErrorKind","doc":""},"Lean.Elab.Term.instToStringLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L389-L392","name":"Lean.Elab.Term.instToStringLVal","line":389,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringLVal","doc":""},"Lean.Elab.Term.instToStringArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L25-L28","name":"Lean.Elab.Term.instToStringArg","line":25,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringArg","doc":""},"Lean.Elab.Term.instNonemptySavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L244-L244","name":"Lean.Elab.Term.instNonemptySavedState","line":244,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instNonemptySavedState","doc":""},"Lean.Elab.Term.instMonadTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L229-L231","name":"Lean.Elab.Term.instMonadTermElabM","line":229,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadTermElabM","doc":""},"Lean.Elab.Term.instMonadMacroAdapterTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1038-L1041","name":"Lean.Elab.Term.instMonadMacroAdapterTermElabM","line":1038,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadMacroAdapterTermElabM","doc":""},"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L258-L260","name":"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","line":258,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","doc":""},"Lean.Elab.Term.instMetaEvalTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1673-L1678","name":"Lean.Elab.Term.instMetaEvalTermElabM","line":1673,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMetaEvalTermElabM","doc":""},"Lean.Elab.Term.instInhabitedTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L235-L236","name":"Lean.Elab.Term.instInhabitedTermElabM","line":235,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedTermElabM","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L40-L40","name":"Lean.Elab.Term.instInhabitedSyntheticMVarKind","line":40,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarKind","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L52-L52","name":"Lean.Elab.Term.instInhabitedSyntheticMVarDecl","line":52,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarDecl","doc":""},"Lean.Elab.Term.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L109-L109","name":"Lean.Elab.Term.instInhabitedState","line":109,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedState","doc":""},"Lean.Elab.Term.instInhabitedNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedNamedArg","line":23,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedNamedArg","doc":""},"Lean.Elab.Term.instInhabitedMatchAltView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MatchAltView.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedMatchAltView","line":23,"kind":"instance","docLink":"./Lean/Elab/MatchAltView.html#Lean.Elab.Term.instInhabitedMatchAltView","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L65-L65","name":"Lean.Elab.Term.instInhabitedMVarErrorKind","line":65,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorKind","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L81-L81","name":"Lean.Elab.Term.instInhabitedMVarErrorInfo","line":81,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorInfo","doc":""},"Lean.Elab.Term.instInhabitedLetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L98-L98","name":"Lean.Elab.Term.instInhabitedLetRecToLift","line":98,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedLetRecToLift","doc":""},"Lean.Elab.Term.instInhabitedDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L61-L61","name":"Lean.Elab.Term.instInhabitedDiscr","line":61,"kind":"instance","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.instInhabitedDiscr","doc":""},"Lean.Elab.Term.instInhabitedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L16-L16","name":"Lean.Elab.Term.instInhabitedArg","line":16,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedArg","doc":""},"Lean.Elab.Term.instAddErrorMessageContextTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L320-L326","name":"Lean.Elab.Term.instAddErrorMessageContextTermElabM","line":320,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instAddErrorMessageContextTermElabM","doc":""},"Lean.Elab.Term.hasNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1086-L1087","name":"Lean.Elab.Term.hasNoImplicitLambdaAnnotation","line":1086,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.hasNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.hasElabWithoutExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L22-L23","name":"Lean.Elab.Term.hasElabWithoutExpectedType","line":22,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.hasElabWithoutExpectedType","doc":""},"Lean.Elab.Term.hasCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L205-L210","name":"Lean.Elab.Term.hasCDot","line":205,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.hasCDot","doc":""},"Lean.Elab.Term.getSyntheticMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L882-L883","name":"Lean.Elab.Term.getSyntheticMVarDecl?","line":882,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getSyntheticMVarDecl?","doc":""},"Lean.Elab.Term.getPatternsVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L342-L347","name":"Lean.Elab.Term.getPatternsVars","line":342,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternsVars","doc":"Return the pattern variables occurring in the given patterns.\nThis method is used in the `match` and `do` notation elaborators\n"},"Lean.Elab.Term.getPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L333-L336","name":"Lean.Elab.Term.getPatternVars","line":333,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVars","doc":"Return the pattern variables in the given pattern.\nRemark: this method is not used by the main `match` elaborator, but in the precheck hook and other macros (e.g., at `Do.lean`).\n"},"Lean.Elab.Term.getPatternVarNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L349-L350","name":"Lean.Elab.Term.getPatternVarNames","line":349,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVarNames","doc":""},"Lean.Elab.Term.getMatchAltsNumPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L25-L28","name":"Lean.Elab.Term.getMatchAltsNumPatterns","line":25,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.getMatchAltsNumPatterns","doc":"Helper function for `expandEqnsIntoMatch` "},"Lean.Elab.Term.getMVarErrorInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L489-L490","name":"Lean.Elab.Term.getMVarErrorInfo?","line":489,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarErrorInfo?","doc":""},"Lean.Elab.Term.getMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L399-L399","name":"Lean.Elab.Term.getMVarDecl","line":399,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarDecl","doc":"Return the declaration of the given metavariable "},"Lean.Elab.Term.getLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L308-L309","name":"Lean.Elab.Term.getLevelNames","line":308,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLevelNames","doc":"Return the universe level names explicitly provided by the user.\n"},"Lean.Elab.Term.getLetRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L397-L397","name":"Lean.Elab.Term.getLetRecsToLift","line":397,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLetRecsToLift","doc":"Return the list of nested `let rec` declarations that need to be lifted. "},"Lean.Elab.Term.getFVarLocalDecl!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L315-L318","name":"Lean.Elab.Term.getFVarLocalDecl!","line":315,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getFVarLocalDecl!","doc":"Given a free variable `fvar`, return its declaration.\nThis function panics if `fvar` is not a free variable.\n"},"Lean.Elab.Term.getDeclName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L395-L395","name":"Lean.Elab.Term.getDeclName?","line":395,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getDeclName?","doc":"Return the name of the declaration being elaborated if available. "},"Lean.Elab.Term.getCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L78-L83","name":"Lean.Elab.Term.getCalcSteps","line":78,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcSteps","doc":""},"Lean.Elab.Term.getCalcRelation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L15-L19","name":"Lean.Elab.Term.getCalcRelation?","line":15,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcRelation?","doc":"Decompose `e` into `(r, a, b)`.\n\nRemark: it assumes the last two arguments are explicit. "},"Lean.Elab.Term.getCalcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L70-L76","name":"Lean.Elab.Term.getCalcFirstStep","line":70,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcFirstStep","doc":""},"Lean.Elab.Term.exprToSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1704-L1709","name":"Lean.Elab.Term.exprToSyntax","line":1704,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exprToSyntax","doc":"Helper function for \"embedding\" an `Expr` in `Syntax`.\nIt creates a named hole `?m` and immediately assigns `e` to it.\nExamples:\n```lean\nlet e := mkConst ``Nat.zero\n`(Nat.succ $(← exprToSyntax e))\n```\n"},"Lean.Elab.Term.expandWhereDeclsOpt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L458-L462","name":"Lean.Elab.Term.expandWhereDeclsOpt","line":458,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDeclsOpt","doc":""},"Lean.Elab.Term.expandWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L453-L456","name":"Lean.Elab.Term.expandWhereDecls","line":453,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDecls","doc":""},"Lean.Elab.Term.expandUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L172-L173","name":"Lean.Elab.Term.expandUnreachable","line":172,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandUnreachable","doc":""},"Lean.Elab.Term.expandTypeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L278-L283","name":"Lean.Elab.Term.expandTypeAscription","line":278,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTypeAscription","doc":""},"Lean.Elab.Term.expandTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L271-L276","name":"Lean.Elab.Term.expandTuple","line":271,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTuple","doc":""},"Lean.Elab.Term.expandTermUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1701-L1701","name":"Lean.Elab.Term.expandTermUnless","line":1701,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermUnless","doc":""},"Lean.Elab.Term.expandTermTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1698-L1698","name":"Lean.Elab.Term.expandTermTry","line":1698,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermTry","doc":""},"Lean.Elab.Term.expandTermReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1704-L1704","name":"Lean.Elab.Term.expandTermReturn","line":1704,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermReturn","doc":""},"Lean.Elab.Term.expandTermFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1695-L1695","name":"Lean.Elab.Term.expandTermFor","line":1695,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermFor","doc":""},"Lean.Elab.Term.expandSuffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L118-L125","name":"Lean.Elab.Term.expandSuffices","line":118,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandSuffices","doc":""},"Lean.Elab.Term.expandSimpleBinderWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L251-L255","name":"Lean.Elab.Term.expandSimpleBinderWithType","line":251,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandSimpleBinderWithType","doc":"If `binder` is a `_` or an identifier, return a `bracketedBinder` using `type` otherwise throw an exception. "},"Lean.Elab.Term.expandShow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L65-L68","name":"Lean.Elab.Term.expandShow","line":65,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandShow","doc":""},"Lean.Elab.Term.expandParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L267-L269","name":"Lean.Elab.Term.expandParen","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandParen","doc":""},"Lean.Elab.Term.expandOptType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L16-L20","name":"Lean.Elab.Term.expandOptType","line":16,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandOptType","doc":"Recall that\n```\ndef typeSpec := leading_parser \" : \" >> termParser\ndef optType : Parser := optional typeSpec\n```\n"},"Lean.Elab.Term.expandOptPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L14-L18","name":"Lean.Elab.Term.expandOptPrecedence","line":14,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.expandOptPrecedence","doc":"Expand `optional «precedence»` where\n«precedence» := leading_parser \" : \" >> precedenceParser "},"Lean.Elab.Term.expandMatchAltsWhereDecls.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L574-L585","name":"Lean.Elab.Term.expandMatchAltsWhereDecls.loop","line":574,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls.loop","doc":""},"Lean.Elab.Term.expandMatchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L571-L586","name":"Lean.Elab.Term.expandMatchAltsWhereDecls","line":571,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls","doc":"Similar to `expandMatchAltsIntoMatch`, but supports an optional `where` clause.\n\nExpand `matchAltsWhereDecls` into `let rec` + `match`-expression.\nExample\n```\n| 0, true => ... f 0 ...\n| i, _ => ... f i + g i ...\nwhere\n f x := g x + 1\n\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n```\nexpands into\n```\nfux x_1 x_2 =>\n let rec\n f x := g x + 1,\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n match x_1, x_2 with\n | 0, true => ... f 0 ...\n | i, _ => ... f i + g i ...\n```\n"},"Lean.Elab.Term.expandMatchAltsIntoMatchTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L540-L541","name":"Lean.Elab.Term.expandMatchAltsIntoMatchTactic","line":540,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatchTactic","doc":""},"Lean.Elab.Term.expandMatchAltsIntoMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L537-L538","name":"Lean.Elab.Term.expandMatchAltsIntoMatch","line":537,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatch","doc":"Expand `matchAlts` syntax into a full `match`-expression.\nExample:\n```\n| 0, true => alt_1\n| i, _ => alt_2\n```\nexpands into (for tactic == false)\n```\nfun x_1 x_2 =>\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\nand (for tactic == true)\n```\nintro x_1; intro x_2;\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\n\nIf `useExplicit = true`, we add a `@` before `fun` to disable implicit lambdas. We disable them when processing `let` and `let rec` declarations\nto make sure the behavior is consistent with top-level declarations where we can write\n```\ndef f : {α : Type} → α → α\n | _, a => a\n```\nWe use `useExplicit = false` when we are elaborating the `fun | ... => ... | ...` notation. See issue #1132.\nIf `@fun` is used with this notation, the we set `useExplicit = true`.\nWe also use `useExplicit = false` when processing `instance ... where` notation declarations. The motivation is to have compact declarations such as\n```\ninstance [Alternative m] : MonadLiftT Option m where\nmonadLift -- We don't want to provide the implicit arguments of `monadLift` here. One should use `monadLift := @fun ...` if they want to provide them.\n | some a => pure a\n | none => failure\n```\n\nRemark: we add `@` at discriminants to make sure we don't consume implicit arguments, and to make the behavior consistent with `fun`.\nExample:\n```\ninductive T : Type 1 :=\n| mkT : (forall {a : Type}, a -> a) -> T\n\ndef makeT (f : forall {a : Type}, a -> a) : T :=\n mkT f\n\ndef makeT' : (forall {a : Type}, a -> a) -> T\n| f => mkT f\n```\nThe two definitions should be elaborated without errors and be equivalent.\n"},"Lean.Elab.Term.expandMatchAlts?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L46-L54","name":"Lean.Elab.Term.expandMatchAlts?","line":46,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlts?","doc":""},"Lean.Elab.Term.expandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L33-L40","name":"Lean.Elab.Term.expandMatchAlt","line":33,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlt","doc":"Expand a match alternative such as `| 0 | 1 => rhs` to an array containing `| 0 => rhs` and `| 1 => rhs`.\n"},"Lean.Elab.Term.expandMacrosInPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L133-L136","name":"Lean.Elab.Term.expandMacrosInPatterns","line":133,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.expandMacrosInPatterns","doc":""},"Lean.Elab.Term.expandLetEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L703-L707","name":"Lean.Elab.Term.expandLetEqnsDecl","line":703,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandLetEqnsDecl","doc":""},"Lean.Elab.Term.expandHave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L105-L116","name":"Lean.Elab.Term.expandHave","line":105,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandHave","doc":""},"Lean.Elab.Term.expandFunBinders.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L342-L380","name":"Lean.Elab.Term.expandFunBinders.loop","line":342,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders.loop","doc":""},"Lean.Elab.Term.expandFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L341-L381","name":"Lean.Elab.Term.expandFunBinders","line":341,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders","doc":"Auxiliary function for expanding `fun` notation binders. Recall that `fun` parser is defined as\n```\ndef funBinder : Parser := implicitBinder <|> instBinder <|> termParser maxPrec\nleading_parser unicodeSymbol \"λ\" \"fun\" >> many1 funBinder >> \"=>\" >> termParser\n```\nto allow notation such as `fun (a, b) => a + b`, where `(a, b)` should be treated as a pattern.\nThe result is a pair `(explicitBinders, newBody)`, where `explicitBinders` is syntax of the form\n```\n`(` ident `:` term `)`\n```\nwhich can be elaborated using `elabBinders`, and `newBody` is the updated `body` syntax.\nWe update the `body` syntax when expanding the pattern notation.\nExample: `fun (a, b) => a + b` expands into `fun _a_1 => match _a_1 with | (a, b) => a + b`.\nSee local function `processAsPattern` at `expandFunBindersAux`.\n\nThe resulting `Bool` is true if a pattern was found. We use it \"mark\" a macro expansion. "},"Lean.Elab.Term.expandFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L588-L599","name":"Lean.Elab.Term.expandFun","line":588,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFun","doc":""},"Lean.Elab.Term.expandForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L257-L261","name":"Lean.Elab.Term.expandForall","line":257,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandForall","doc":""},"Lean.Elab.Term.expandExplicitFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L601-L604","name":"Lean.Elab.Term.expandExplicitFun","line":601,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandExplicitFun","doc":""},"Lean.Elab.Term.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1689-L1693","name":"Lean.Elab.Term.expandDeclId","line":1689,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.expandDeclId","doc":""},"Lean.Elab.Term.expandDbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L183-L186","name":"Lean.Elab.Term.expandDbgTrace","line":183,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandDbgTrace","doc":""},"Lean.Elab.Term.expandCDot?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L230-L240","name":"Lean.Elab.Term.expandCDot?.go","line":230,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?.go","doc":"Auxiliary function for expanding the `·` notation.\nThe extra state `Array Syntax` contains the new binder names.\nIf `stx` is a `·`, we create a fresh identifier, store in the\nextra state, and return it. Otherwise, we just return `stx`. "},"Lean.Elab.Term.expandCDot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L218-L240","name":"Lean.Elab.Term.expandCDot?","line":218,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?","doc":"Return `some` if succeeded expanding `·` notation occurring in\nthe given syntax. Otherwise, return `none`.\nExamples:\n- `· + 1` => `fun _a_1 => _a_1 + 1`\n- `f · · b` => `fun _a_1 _a_2 => f _a_1 _a_2 b` "},"Lean.Elab.Term.expandAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L175-L181","name":"Lean.Elab.Term.expandAssert","line":175,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandAssert","doc":""},"Lean.Elab.Term.expandArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L33-L52","name":"Lean.Elab.Term.expandArgs","line":33,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandArgs","doc":""},"Lean.Elab.Term.expandApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L54-L56","name":"Lean.Elab.Term.expandApp","line":54,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandApp","doc":""},"Lean.Elab.Term.exceptionToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L803-L806","name":"Lean.Elab.Term.exceptionToSorry","line":803,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exceptionToSorry","doc":"Log the given exception, and create a synthetic sorry for representing the failed\nelaboration step with exception `ex`.\n"},"Lean.Elab.Term.evalTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Eval.lean#L12-L17","name":"Lean.Elab.Term.evalTerm","line":12,"kind":"def","docLink":"./Lean/Elab/Eval.html#Lean.Elab.Term.evalTerm","doc":""},"Lean.Elab.Term.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L69-L70","name":"Lean.Elab.Term.eraseNamedArg","line":69,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.eraseNamedArg","doc":"Erase entry for `binderName` from `namedArgs`. "},"Lean.Elab.Term.ensureUnaryOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L46-L51","name":"Lean.Elab.Term.ensureUnaryOutput","line":46,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ensureUnaryOutput","doc":""},"Lean.Elab.Term.ensureType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1450-L1463","name":"Lean.Elab.Term.ensureType","line":1450,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureType","doc":"Make sure `e` is a type by inferring its type and making sure it is an `Expr.sort`\nor is unifiable with `Expr.sort`, or can be coerced into one. "},"Lean.Elab.Term.ensureNoUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L568-L571","name":"Lean.Elab.Term.ensureNoUnassignedMVars","line":568,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureNoUnassignedMVars","doc":"Ensure metavariables registered using `registerMVarErrorInfos` (and used in the given declaration) have been assigned. "},"Lean.Elab.Term.ensureHasType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L781-L787","name":"Lean.Elab.Term.ensureHasType","line":781,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureHasType","doc":"If `expectedType?` is `some t`, then ensure `t` and `eType` are definitionally equal.\nIf they are not, then try coercions.\n\nArgument `f?` is used only for generating error messages. 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`useLetExpr` is true, then a kernel let-expression `let x : type := val; body` is created.\nOtherwise, we create a term of the form `(fun (x : type) => body) val`\n\nThe default elaboration order is `binders`, `typeStx`, `valStx`, and `body`.\nIf `elabBodyFirst == true`, then we use the order `binders`, `typeStx`, `body`, and `valStx`. "},"Lean.Elab.Term.elabLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L744-L745","name":"Lean.Elab.Term.elabLetDecl","line":744,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabLetDecl","doc":""},"Lean.Elab.Term.elabLeadingParserMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L143-L147","name":"Lean.Elab.Term.elabLeadingParserMacro","line":143,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabLeadingParserMacro","doc":""},"Lean.Elab.Term.elabIncludeStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L319-L328","name":"Lean.Elab.Term.elabIncludeStr","line":319,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabIncludeStr","doc":""},"Lean.Elab.Term.elabInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L155-L157","name":"Lean.Elab.Term.elabInaccessible","line":155,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.elabInaccessible","doc":""},"Lean.Elab.Term.elabIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1473-L1473","name":"Lean.Elab.Term.elabIdent","line":1473,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabIdent","doc":""},"Lean.Elab.Term.elabHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L57-L61","name":"Lean.Elab.Term.elabHole","line":57,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabHole","doc":""},"Lean.Elab.Term.elabFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L443-L451","name":"Lean.Elab.Term.elabFunBinders","line":443,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFunBinders","doc":""},"Lean.Elab.Term.elabFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L618-L631","name":"Lean.Elab.Term.elabFun","line":618,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFun","doc":""},"Lean.Elab.Term.elabForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L263-L269","name":"Lean.Elab.Term.elabForall","line":263,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabForall","doc":""},"Lean.Elab.Term.elabForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L51-L77","name":"Lean.Elab.Term.elabForIn'","line":51,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn'","doc":""},"Lean.Elab.Term.elabForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L25-L49","name":"Lean.Elab.Term.elabForIn","line":25,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn","doc":""},"Lean.Elab.Term.elabExplicitUnivs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1253-L1254","name":"Lean.Elab.Term.elabExplicitUnivs","line":1253,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUnivs","doc":""},"Lean.Elab.Term.elabExplicitUniv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1476-L1476","name":"Lean.Elab.Term.elabExplicitUniv","line":1476,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUniv","doc":""},"Lean.Elab.Term.elabExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1484-L1490","name":"Lean.Elab.Term.elabExplicit","line":1484,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicit","doc":""},"Lean.Elab.Term.elabEnsureTypeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L258-L265","name":"Lean.Elab.Term.elabEnsureTypeOf","line":258,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureTypeOf","doc":""},"Lean.Elab.Term.elabEnsureExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L267-L270","name":"Lean.Elab.Term.elabEnsureExpectedType","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureExpectedType","doc":""},"Lean.Elab.Term.elabDoubleQuotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec831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dependent arrow. `(x : α) → β` is equivalent to `∀ x : α, β`, but we usually\nreserve the latter for propositions. Also written as `Π x : α, β` (the \"Pi-type\")\nin the literature. "},"Lean.Elab.Term.elabDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L216-L219","name":"Lean.Elab.Term.elabDeclName","line":216,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabDeclName","doc":""},"Lean.Elab.Term.elabCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L40-L55","name":"Lean.Elab.Term.elabCompletion","line":40,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCompletion","doc":""},"Lean.Elab.Term.elabCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L14-L20","name":"Lean.Elab.Term.elabCoe","line":14,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCoe","doc":""},"Lean.Elab.Term.elabClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L272-L290","name":"Lean.Elab.Term.elabClear","line":272,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabClear","doc":""},"Lean.Elab.Term.elabChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1492-L1492","name":"Lean.Elab.Term.elabChoice","line":1492,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabChoice","doc":""},"Lean.Elab.Term.elabCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L203-L206","name":"Lean.Elab.Term.elabCharLit","line":203,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCharLit","doc":""},"Lean.Elab.Term.elabCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L85-L108","name":"Lean.Elab.Term.elabCalcSteps","line":85,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalcSteps","doc":""},"Lean.Elab.Term.elabCalc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L112-L117","name":"Lean.Elab.Term.elabCalc","line":112,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalc","doc":"Elaborator for the `calc` term mode variant. "},"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L262-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","line":262,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","doc":""},"Lean.Elab.Term.elabCDotFunctionAlias?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L246-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?","line":246,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?","doc":"Helper method for elaborating terms such as `(.+.)` where a constant name is expected.\nThis method is usually used to implement tactics that function names as arguments (e.g., `simp`).\n"},"Lean.Elab.Term.elabByTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L150-L155","name":"Lean.Elab.Term.elabByTactic","line":150,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabByTactic","doc":""},"Lean.Elab.Term.elabBorrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L60-L63","name":"Lean.Elab.Term.elabBorrowed","line":60,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabBorrowed","doc":""},"Lean.Elab.Term.elabBindersEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L227-L232","name":"Lean.Elab.Term.elabBindersEx","line":227,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBindersEx","doc":"Like `elabBinders`, but also pass syntax node per binder.\n`elabBinders(Ex)` automatically adds binder info nodes for the produced fvars, but storing the syntax nodes\nmight be necessary when later adding the same binders back to the local context so that info nodes can\nmanually be added for the new fvars; see `MutualDef` for an example. "},"Lean.Elab.Term.elabBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L243-L244","name":"Lean.Elab.Term.elabBinders","line":243,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinders","doc":"Elaborate the given binders (i.e., `Syntax` objects for `bracketedBinder`),\nupdate the local context, set of local instances, reset instance chache (if needed), and then\nexecute `k` with the updated context.\nThe local context will only be included inside `k`.\n\nFor example, suppose you have binders `[(a : α), (b : β a)]`, then the elaborator will\ncreate two new free variables `a` and `b`, push these to the context and pass to `k #[a,b]`.\n"},"Lean.Elab.Term.elabBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L247-L248","name":"Lean.Elab.Term.elabBinder","line":247,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinder","doc":"Same as `elabBinder` with a single binder."},"Lean.Elab.Term.elabBadCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L160-L161","name":"Lean.Elab.Term.elabBadCDot","line":160,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabBadCDot","doc":""},"Lean.Elab.Term.elabAsElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L682-L697","name":"Lean.Elab.Term.elabAsElim","line":682,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAsElim","doc":""},"Lean.Elab.Term.elabArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L278-L285","name":"Lean.Elab.Term.elabArrow","line":278,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabArrow","doc":""},"Lean.Elab.Term.elabAppArgs.isFirstOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L978-L980","name":"Lean.Elab.Term.elabAppArgs.isFirstOrder","line":978,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.isFirstOrder","doc":""},"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L959-L972","name":"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","line":959,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","doc":"Collect extra argument positions that must be elaborated eagerly when using `elab_as_elim`.\nThe idea is that the contribute to motive inference. See comment at `ElamElim.Context.extraArgsPos`.\n"},"Lean.Elab.Term.elabAppArgs.elabAsElim?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L939-L953","name":"Lean.Elab.Term.elabAppArgs.elabAsElim?","line":939,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.elabAsElim?","doc":"Return `some info` if we should elaborate as an eliminator. "},"Lean.Elab.Term.elabAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L907-L980","name":"Lean.Elab.Term.elabAppArgs","line":907,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs","doc":"Elaborate a `f`-application using `namedArgs` and `args` as the arguments.\n- `expectedType?` the expected type if available. It is used to propagate typing information only. This method does **not** ensure the result has this type.\n- `explicit = true` when notation `@` is used, and implicit arguments are assumed to be provided at `namedArgs` and `args`.\n- `ellipsis = true` when notation `..` is used. That is, we add `_` for missing arguments.\n- `resultIsOutParamSupport` is used to control whether special support is used when processing applications of functions that return\n output parameter of some local instance. Example:\n ```\n GetElem.getElem : {Cont : Type u_1} → {Idx : Type u_2} → {elem : Type u_3} → {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] → (xs : cont) → (i : idx) → dom xs i → elem\n ```\n The result type `elem` is the output parameter of the local instance `self`.\n When this parameter is set to `true`, we execute `synthesizeSyntheticMVarsUsingDefault`. For additional details, see comment at\n `ElabAppArgs.resultIsOutParam`.\n"},"Lean.Elab.Term.elabApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1465-L1468","name":"Lean.Elab.Term.elabApp","line":1465,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabApp","doc":""},"Lean.Elab.Term.elabAnonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L22-L58","name":"Lean.Elab.Term.elabAnonymousCtor","line":22,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabAnonymousCtor","doc":""},"Lean.Elab.Term.declareTacticSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L88-L100","name":"Lean.Elab.Term.declareTacticSyntax","line":88,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.declareTacticSyntax","doc":""},"Lean.Elab.Term.containsPendingMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L702-L705","name":"Lean.Elab.Term.containsPendingMVar","line":702,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.containsPendingMVar","doc":"Return `true` if `e` contains a pending metavariable. Remark: it also visits let-declarations. "},"Lean.Elab.Term.commitIfNoErrors?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1415-L1428","name":"Lean.Elab.Term.commitIfNoErrors?","line":1415,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfNoErrors?","doc":"Execute `x` and return `some` if no new errors were recorded or exceptions were thrown. Otherwise, return `none`. "},"Lean.Elab.Term.commitIfDidNotPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L300-L303","name":"Lean.Elab.Term.commitIfDidNotPostpone","line":300,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfDidNotPostpone","doc":"Execute `x`, but keep state modifications only if `x` did not postpone.\nThis method is useful to implement elaboration functions that cannot decide whether\nthey need to postpone or not without updating the state. "},"Lean.Elab.Term.collectUnassignedMVars.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1511-L1527","name":"Lean.Elab.Term.collectUnassignedMVars.go","line":1511,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars.go","doc":""},"Lean.Elab.Term.collectUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1503-L1527","name":"Lean.Elab.Term.collectUnassignedMVars","line":1503,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars","doc":"Collect unassigned metavariables in `type` that are not already in `init` and not satisfying `except`.\n"},"Lean.Elab.Term.collectPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L325-L327","name":"Lean.Elab.Term.collectPatternVars","line":325,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.collectPatternVars","doc":"Collect pattern variables occurring in the `match`-alternative object views.\nIt also returns the updated views.\n"},"Lean.Elab.Term.clearInMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L57-L62","name":"Lean.Elab.Term.clearInMatchAlt","line":57,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatchAlt","doc":""},"Lean.Elab.Term.clearInMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L64-L70","name":"Lean.Elab.Term.clearInMatch","line":64,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatch","doc":""},"Lean.Elab.Term.checkLeftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L68-L80","name":"Lean.Elab.Term.checkLeftRec","line":68,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.checkLeftRec","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L744-L753","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","line":744,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L754-L764","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visit","line":754,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visit","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L730-L767","name":"Lean.Elab.Term.checkForHiddenUnivLevels","line":730,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels","doc":""},"Lean.Elab.Term.checkBinderAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L177-L180","name":"Lean.Elab.Term.checkBinderAnnotations","line":177,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.checkBinderAnnotations","doc":""},"Lean.Elab.Term.blockImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1096-L1100","name":"Lean.Elab.Term.blockImplicitLambda","line":1096,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.blockImplicitLambda","doc":"Block usage of implicit lambdas if `stx` is `@f` or `@f arg1 ...` or `fun` with an implicit binder annotation. "},"Lean.Elab.Term.applyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L291-L294","name":"Lean.Elab.Term.applyResult","line":291,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyResult","doc":"Apply the result/exception and state captured with `observing`.\nWe use this method to implement overloaded notation and symbols. "},"Lean.Elab.Term.applyAttributesAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L635-L636","name":"Lean.Elab.Term.applyAttributesAt","line":635,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributesAt","doc":"Apply given attributes **at** a given application time "},"Lean.Elab.Term.applyAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L638-L639","name":"Lean.Elab.Term.applyAttributes","line":638,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributes","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L61-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType.go","line":61,"kind":"opaque","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType.go","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L57-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType","line":57,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType","doc":"Adds a type annotation to a hole that occurs immediately at the beginning of the term.\nThis is so that coercions can trigger when elaborating the term.\nSee https://github.com/leanprover/lean4/issues/2040 for futher rationale.\n\n- `_ < 3` is annotated\n- `(_) < 3` is not, because it occurs after an atom\n- in `_ < _` only the first one is annotated\n- `_ + 2 < 3` is annotated (not the best heuristic, ideally we'd like to annotate `_ + 2`)\n- `lt _ 3` is not, because it occurs after an identifier\n"},"Lean.Elab.Term.addTermInfo'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L961-L962","name":"Lean.Elab.Term.addTermInfo'","line":961,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo'","doc":""},"Lean.Elab.Term.addTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L952-L959","name":"Lean.Elab.Term.addTermInfo","line":952,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo","doc":"Pushes a new leaf node to the info tree associating the expression `e` to the syntax `stx`.\nAs a result, when the user hovers over `stx` they will see the type of `e`, and if `e`\nis a constant they will see the constant's doc string.\n\n* `expectedType?`: the expected type of `e` at the point of elaboration, if available\n* `lctx?`: the local context in which to interpret `e` (otherwise it will use `← getLCtx`)\n* `elaborator`: a declaration name used as an alternative target for go-to-definition\n* `isBinder`: if true, this will be treated as defining `e` (which should be a local constant)\n for the purpose of go-to-definition on local variables\n* `force`: In patterns, the effect of `addTermInfo` is usually suppressed and replaced\n by a `patternWithRef?` annotation which will be turned into a term info on the\n post-match-elaboration expression. This flag overrides that behavior and adds the term\n info immediately. (See https://github.com/leanprover/lean4/pull/1664.)\n"},"Lean.Elab.Term.addNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L28-L31","name":"Lean.Elab.Term.addNamedArg","line":28,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.addNamedArg","doc":"Add a new named argument to `namedArgs`, and throw an error if it already contains a named argument\nwith the same name. "},"Lean.Elab.Term.addLocalVarInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L169-L170","name":"Lean.Elab.Term.addLocalVarInfo","line":169,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.addLocalVarInfo","doc":""},"Lean.Elab.Term.addDotCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1387-L1388","name":"Lean.Elab.Term.addDotCompletionInfo","line":1387,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addDotCompletionInfo","doc":"Store in the `InfoTree` that `e` is a \"dot\"-completion target. "},"Lean.Elab.Term.addCategoryInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L57-L60","name":"Lean.Elab.Term.addCategoryInfo","line":57,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addCategoryInfo","doc":"(Try to) add a term info for the category `catName` at `ref`. "},"Lean.Elab.Term.addAutoBoundImplicits.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1542-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits.go","line":1542,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits.go","doc":""},"Lean.Elab.Term.addAutoBoundImplicits'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1562-L1567","name":"Lean.Elab.Term.addAutoBoundImplicits'","line":1562,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits'","doc":"Similar to `autoBoundImplicits`, but immediately if the resulting array of expressions contains metavariables,\nit immediately uses `mkForallFVars` + `forallBoundedTelescope` to convert them into free variables.\nThe type `type` is modified during the process if type depends on `xs`.\nWe use this method to simplify the conversion of code using `autoBoundImplicitsOld` to `autoBoundImplicits`.\n"},"Lean.Elab.Term.addAutoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1538-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits","line":1538,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits","doc":"Return `autoBoundImplicits ++ xs`\nThis method throws an error if a variable in `autoBoundImplicits` depends on some `x` in `xs`.\nThe `autoBoundImplicits` may contain free variables created by the auto-implicit feature, and unassigned free variables.\nIt avoids the hack used at `autoBoundImplicitsOld`.\n\nRemark: we cannot simply replace every occurrence of `addAutoBoundImplicitsOld` with this one because a particular\nuse-case may not be able to handle the metavariables in the array being given to `k`.\n"},"Lean.Elab.Term.addAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L63-L66","name":"Lean.Elab.Term.addAliasInfo","line":63,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addAliasInfo","doc":"(Try to) add a term info for the alias with info `info` at `ref`. "},"Lean.Elab.Term.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1431-L1433","name":"Lean.Elab.Term.adaptExpander","line":1431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.adaptExpander","doc":"Adapt a syntax transformation to a regular, term-producing elaborator. "},"Lean.Elab.Term.UseImplicitLambdaResult.yes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1264-L1264","name":"Lean.Elab.Term.UseImplicitLambdaResult.yes","line":1264,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.yes","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.postpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1265-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult.postpone","line":1265,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.postpone","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.no":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1263-L1263","name":"Lean.Elab.Term.UseImplicitLambdaResult.no","line":1263,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.no","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1262-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult","line":1262,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult","doc":""},"Lean.Elab.Term.ToParserDescrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L39-L39","name":"Lean.Elab.Term.ToParserDescrM","line":39,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrM","doc":""},"Lean.Elab.Term.ToParserDescrContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L1-L1","name":"Lean.Elab.Term.ToParserDescrContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.mk","doc":""},"Lean.Elab.Term.ToParserDescrContext.leftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L35-L35","name":"Lean.Elab.Term.ToParserDescrContext.leftRec","line":35,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.leftRec","doc":""},"Lean.Elab.Term.ToParserDescrContext.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L34-L34","name":"Lean.Elab.Term.ToParserDescrContext.first","line":34,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.first","doc":""},"Lean.Elab.Term.ToParserDescrContext.catName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L33-L33","name":"Lean.Elab.Term.ToParserDescrContext.catName","line":33,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.catName","doc":""},"Lean.Elab.Term.ToParserDescrContext.behavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L37-L37","name":"Lean.Elab.Term.ToParserDescrContext.behavior","line":37,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.behavior","doc":"See comment at `Parser.ParserCategory`. "},"Lean.Elab.Term.ToParserDescrContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L32-L37","name":"Lean.Elab.Term.ToParserDescrContext","line":32,"kind":"structure","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext","doc":""},"Lean.Elab.Term.ToParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L40-L40","name":"Lean.Elab.Term.ToParserDescr","line":40,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescr","doc":""},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L635-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","line":635,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","doc":"The `Bool` context is true iff we are inside of an \"inaccessible\" pattern. "},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L631-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo","line":631,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo","doc":"Save pattern information in the info tree, and remove `patternWithRef?` annotations.\n"},"Lean.Elab.Term.ToDepElimPattern.normalize.processVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L512-L520","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processVar","line":512,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L522-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","line":522,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.addVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L507-L510","name":"Lean.Elab.Term.ToDepElimPattern.normalize.addVar","line":507,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.addVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L455-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize","line":455,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize","doc":"Normalize the pattern and collect all patterns variables (explicit and implicit).\nThis method is the one that decides where the inaccessible annotations must be inserted.\nThe pattern variables are both free variables (for explicit pattern variables) and metavariables (for implicit ones).\nRecall that `mkLambdaFVars` now allows us to abstract both free variables and metavariables.\n"},"Lean.Elab.Term.ToDepElimPattern.main.unpack.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L706-L715","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack.go","line":706,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack.go","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.unpack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L705-L716","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack","line":705,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.pack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L681-L703","name":"Lean.Elab.Term.ToDepElimPattern.main.pack","line":681,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.pack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L662-L716","name":"Lean.Elab.Term.ToDepElimPattern.main","line":662,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main","doc":"Main method for `withDepElimPatterns`.\n- `PatternVarDecls`: are the explicit pattern variables provided by the user.\n- `ps`: are the patterns provided by the user.\n- `matchType`: the expected typ for this branch. It depends on the explicit pattern variables and the implicit ones that are still represented as metavariables,\n and are found by this function.\n- `k` is the continuation that is executed in an updated local context with the all pattern variables (explicit and implicit). Note that, `patternVarDecls` are all\n replaced since they may depend on implicit pattern variables (i.e., metavariables) that are converted into new free variables by this method.\n"},"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L381-L385","name":"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","line":381,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","doc":"Return true iff `e` is an explicit pattern variable provided by the user. "},"Lean.Elab.Term.ToDepElimPattern.TopSortM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L591-L591","name":"Lean.Elab.Term.ToDepElimPattern.TopSortM","line":591,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSortM","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L588-L588","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","line":588,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L587-L587","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","line":587,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L589-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","line":589,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L586-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State","line":586,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.patternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L364-L364","name":"Lean.Elab.Term.ToDepElimPattern.State.patternVars","line":364,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.patternVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L363-L364","name":"Lean.Elab.Term.ToDepElimPattern.State","line":363,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L378-L378","name":"Lean.Elab.Term.ToDepElimPattern.M","line":378,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.M","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.userName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L370-L370","name":"Lean.Elab.Term.ToDepElimPattern.Context.userName","line":370,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.userName","doc":"When visiting an assigned metavariable, if it has an user-name. We save it here.\nWe want to preserve these user-names when generating new pattern variables. "},"Lean.Elab.Term.ToDepElimPattern.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L376-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","line":376,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","doc":"Pattern variables that were explicitly provided by the user.\nRecall that implicit parameters and `_` are elaborated as metavariables, and then converted into pattern variables\nby the `normalize` procedure.\n"},"Lean.Elab.Term.ToDepElimPattern.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L366-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context","line":366,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context","doc":""},"Lean.Elab.Term.TermElabResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L262-L262","name":"Lean.Elab.Term.TermElabResult","line":262,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabResult","doc":""},"Lean.Elab.Term.TermElabM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1666-L1671","name":"Lean.Elab.Term.TermElabM.toIO","line":1666,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.toIO","doc":""},"Lean.Elab.Term.TermElabM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1663-L1664","name":"Lean.Elab.Term.TermElabM.run'","line":1663,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run'","doc":""},"Lean.Elab.Term.TermElabM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1660-L1661","name":"Lean.Elab.Term.TermElabM.run","line":1660,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run","doc":""},"Lean.Elab.Term.TermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L221-L221","name":"Lean.Elab.Term.TermElabM","line":221,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM","doc":""},"Lean.Elab.Term.TermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L222-L222","name":"Lean.Elab.Term.TermElab","line":222,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElab","doc":""},"Lean.Elab.Term.SyntheticMVarKind.typeClass":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L29-L30","name":"Lean.Elab.Term.SyntheticMVarKind.typeClass","line":29,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.typeClass","doc":"Use typeclass resolution to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L36-L37","name":"Lean.Elab.Term.SyntheticMVarKind.tactic","line":36,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.tactic","doc":"Use tactic to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.postponed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L38-L39","name":"Lean.Elab.Term.SyntheticMVarKind.postponed","line":38,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.postponed","doc":"Metavariable represents a hole whose elaboration has been postponed. 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the following example:\n```\nstructure A where\n x : Nat := 1\n\nstructure B extends A where\n y : Nat := x + 1\n x := y + 1\n\nstructure C extends B where\n z : Nat := 2*y\n x := z + 3\n```\nAnd we are trying to elaborate a structure instance for `C`. There are default values for `x` at `A`, `B`, and `C`.\nWe say the default value at `C` has distance 0, the one at `B` distance 1, and the one at `A` distance 2.\nThe field `maxDistance` specifies the maximum distance considered in a round of Default field computation.\nRemark: since `C` does not set a default value of `y`, the default value at `B` is at distance 0.\n\nThe fixpoint for setting default values works in the following way.\n- Keep computing default values using `maxDistance == 0`.\n- We increase `maxDistance` whenever we failed to compute a new default value in a round.\n- If `maxDistance > 0`, then we interrupt a round as soon as we compute some default value.\n We use depth-first search.\n- We sign an error if no progress is made when `maxDistance` == structure hierarchy depth (2 in the example above).\n"},"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L652-L652","name":"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","line":652,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","doc":""},"Lean.Elab.Term.StructInst.DefaultFields.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L649-L679","name":"Lean.Elab.Term.StructInst.DefaultFields.Context","line":649,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L537-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.params","line":537,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.params","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L1-L1","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.mk","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L536-L536","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","line":536,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L535-L535","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","line":535,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L534-L534","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","line":534,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L533-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult","line":533,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult","doc":""},"Lean.Elab.Term.State.syntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L105-L105","name":"Lean.Elab.Term.State.syntheticMVars","line":105,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.syntheticMVars","doc":""},"Lean.Elab.Term.State.pendingMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L106-L106","name":"Lean.Elab.Term.State.pendingMVars","line":106,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.pendingMVars","doc":""},"Lean.Elab.Term.State.mvarErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L107-L107","name":"Lean.Elab.Term.State.mvarErrorInfos","line":107,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mvarErrorInfos","doc":""},"Lean.Elab.Term.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mk","doc":""},"Lean.Elab.Term.State.levelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L104-L104","name":"Lean.Elab.Term.State.levelNames","line":104,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.levelNames","doc":""},"Lean.Elab.Term.State.letRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L108-L108","name":"Lean.Elab.Term.State.letRecsToLift","line":108,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.letRecsToLift","doc":""},"Lean.Elab.Term.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/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state for the `TermElabM` 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all pattern vars (as `Syntax.ident`s) in `stx` "},"Lean.Elab.Term.Quotation.getAntiquotationIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Util.lean#L16-L24","name":"Lean.Elab.Term.Quotation.getAntiquotationIds","line":16,"kind":"def","docLink":"./Lean/Elab/Quotation/Util.html#Lean.Elab.Term.Quotation.getAntiquotationIds","doc":""},"Lean.Elab.Term.Quotation.getAntiquotKindSpec?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Util.lean#L43-L45","name":"Lean.Elab.Term.Quotation.getAntiquotKindSpec?","line":43,"kind":"def","docLink":"./Lean/Elab/Quotation/Util.html#Lean.Elab.Term.Quotation.getAntiquotKindSpec?","doc":"Given an antiquotation like `$e:term` (i.e. `Syntax.antiquotKind?` returns `some`),\nreturns the `\"term\"` atom if present.\n"},"Lean.Elab.Term.Quotation.elabPrecheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L139-L142","name":"Lean.Elab.Term.Quotation.elabPrecheckedQuot","line":139,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.elabPrecheckedQuot","doc":""},"Lean.Elab.Term.Quotation.elabNoErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L680-L683","name":"Lean.Elab.Term.Quotation.elabNoErrorIfUnused","line":680,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabNoErrorIfUnused","doc":""},"Lean.Elab.Term.Quotation.elabMatchSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L677-L678","name":"Lean.Elab.Term.Quotation.elabMatchSyntax","line":677,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabMatchSyntax","doc":""},"Lean.Elab.Term.Quotation.commandElab_stx_quot_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L261-L262","name":"Lean.Elab.Term.Quotation.commandElab_stx_quot_","line":261,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.commandElab_stx_quot_","doc":""},"Lean.Elab.Term.Quotation.addNamedQuotInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L208-L216","name":"Lean.Elab.Term.Quotation.addNamedQuotInfo","line":208,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.addNamedQuotInfo","doc":""},"Lean.Elab.Term.Quotation.PrecheckM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L19-L19","name":"Lean.Elab.Term.Quotation.PrecheckM","line":19,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.PrecheckM","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L17-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","line":17,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L1-L1","name":"Lean.Elab.Term.Quotation.Precheck.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.mk","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L16-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context","line":16,"kind":"structure","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context","doc":""},"Lean.Elab.Term.Quotation.Precheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L20-L20","name":"Lean.Elab.Term.Quotation.Precheck","line":20,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck","doc":""},"Lean.Elab.Term.Quotation.MatchResult.undecided":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L307-L308","name":"Lean.Elab.Term.Quotation.MatchResult.undecided","line":307,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult.undecided","doc":"Pattern 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"},"Lean.Elab.Term.Quotation.MatchResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L301-L308","name":"Lean.Elab.Term.Quotation.MatchResult","line":301,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult","doc":"Describe whether a pattern is covered by a head check (induced by the pattern itself or a different pattern). "},"Lean.Elab.Term.Quotation.IdxSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L595-L595","name":"Lean.Elab.Term.Quotation.IdxSet","line":595,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.IdxSet","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.onMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L323-L323","name":"Lean.Elab.Term.Quotation.HeadInfo.onMatch","line":323,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.onMatch","doc":"compute compatibility of pattern with given head check "},"Lean.Elab.Term.Quotation.HeadInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L1-L1","name":"Lean.Elab.Term.Quotation.HeadInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.mk","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.doMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L325-L325","name":"Lean.Elab.Term.Quotation.HeadInfo.doMatch","line":325,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.doMatch","doc":"actually run the specified head check, with the discriminant bound to `__discr` "},"Lean.Elab.Term.Quotation.HeadInfo.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L321-L321","name":"Lean.Elab.Term.Quotation.HeadInfo.check","line":321,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.check","doc":"check induced by the pattern "},"Lean.Elab.Term.Quotation.HeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L319-L325","name":"Lean.Elab.Term.Quotation.HeadInfo","line":319,"kind":"structure","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo","doc":"All necessary information on a pattern head. "},"Lean.Elab.Term.Quotation.HeadCheck.unconditional":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L280-L281","name":"Lean.Elab.Term.Quotation.HeadCheck.unconditional","line":280,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.unconditional","doc":"match step that always succeeds: _, x, `($x), ... "},"Lean.Elab.Term.Quotation.HeadCheck.slice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L290-L293","name":"Lean.Elab.Term.Quotation.HeadCheck.slice","line":290,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.slice","doc":"Match step that succeeds on `null` nodes of arity at least `numPrefix + numSuffix`, introducing discriminants\nfor the first `numPrefix` children, one `null` node for those in between, and for the `numSuffix` last children.\nexample: `([$x, $xs,*, $y]) is `slice 2 2` "},"Lean.Elab.Term.Quotation.HeadCheck.shape":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L282-L289","name":"Lean.Elab.Term.Quotation.HeadCheck.shape","line":282,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.shape","doc":"match step based on kind and, optionally, arity of discriminant\nIf `arity` is given, that number of new discriminants is introduced. `covered` patterns should then introduce the\nsame number of new patterns.\nWe actually check the arity at run time only in the case of `null` nodes since it should otherwise by implied by\nthe node kind.\nwithout arity: `($x:k)\nwith arity: any quotation without an antiquotation head pattern "},"Lean.Elab.Term.Quotation.HeadCheck.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L294-L296","name":"Lean.Elab.Term.Quotation.HeadCheck.other","line":294,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.other","doc":"other, complicated match step that will probably only cover identical patterns\nexample: antiquotation splices `($[...]*) "},"Lean.Elab.Term.Quotation.HeadCheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L279-L296","name":"Lean.Elab.Term.Quotation.HeadCheck","line":279,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck","doc":"In a single match step, we match the first discriminant against the \"head\" of the first pattern of the first\nalternative. This datatype describes what kind of check this involves, which helps other patterns decide if\nthey are covered by the same check and don't have to be checked again (see also `MatchResult`). "},"Lean.Elab.Term.Quotation.ArrayStxBuilder.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L87-L90","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.push","line":87,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.push","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L95-L106","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","line":95,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L81-L81","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","line":81,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.build":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L83-L85","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.build","line":83,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.build","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L92-L93","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.append","line":92,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.append","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L77-L77","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder","line":77,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder","doc":"Transform 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structure for storing an type mismatch exception when processing the\npattern #`idx` of some alternative. "},"Lean.Elab.Term.Op.elabUnOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L406-L406","name":"Lean.Elab.Term.Op.elabUnOp","line":406,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabUnOp","doc":""},"Lean.Elab.Term.Op.elabOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L396-L397","name":"Lean.Elab.Term.Op.elabOp","line":396,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabOp","doc":""},"Lean.Elab.Term.Op.elabDefaultOrNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L487-L502","name":"Lean.Elab.Term.Op.elabDefaultOrNonempty","line":487,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabDefaultOrNonempty","doc":""},"Lean.Elab.Term.Op.elabBinRelNoProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L484-L484","name":"Lean.Elab.Term.Op.elabBinRelNoProp","line":484,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelNoProp","doc":""},"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L475-L480","name":"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","line":475,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","doc":"If `noProp == true` and `e` has type `Prop`, then coerce it to `Bool`. "},"Lean.Elab.Term.Op.elabBinRelCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L416-L480","name":"Lean.Elab.Term.Op.elabBinRelCore","line":416,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore","doc":"Elaboration functionf for `binrel%` and `binrel_no_prop%` notations.\nWe use the infrastructure for `binop%` to make sure we propagate information between the left and right hand sides\nof a binary relation.\n\nRecall that the `binrel_no_prop%` notation is used for relations such as `==` which do not support `Prop`, but\nwe still want to be able to write `(5 > 2) == (2 > 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arguments created using the notation `(x := val)` "},"Lean.Elab.Term.MutualClosure.pushMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L628-L641","name":"Lean.Elab.Term.MutualClosure.pushMain","line":628,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushMain","doc":""},"Lean.Elab.Term.MutualClosure.pushLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L643-L659","name":"Lean.Elab.Term.MutualClosure.pushLetRecs","line":643,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L678-L704","name":"Lean.Elab.Term.MutualClosure.main","line":678,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.main","doc":"- 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lifted\n"},"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L612-L614","name":"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","line":612,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","doc":""},"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L617-L619","name":"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","line":617,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L665-L669","name":"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","line":665,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getKindForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L661-L663","name":"Lean.Elab.Term.MutualClosure.getKindForLetRecs","line":661,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getKindForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.UsedFVarsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L318-L318","name":"Lean.Elab.Term.MutualClosure.UsedFVarsMap","line":318,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.UsedFVarsMap","doc":"A 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metavariables.\n"},"Lean.Elab.Term.LetRecView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.mk","doc":""},"Lean.Elab.Term.LetRecView.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L26-L26","name":"Lean.Elab.Term.LetRecView.decls","line":26,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.decls","doc":""},"Lean.Elab.Term.LetRecView.body":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L27-L27","name":"Lean.Elab.Term.LetRecView.body","line":27,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.body","doc":""},"Lean.Elab.Term.LetRecView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L25-L27","name":"Lean.Elab.Term.LetRecView","line":25,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView","doc":""},"Lean.Elab.Term.LetRecToLift.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L96-L96","name":"Lean.Elab.Term.LetRecToLift.val","line":96,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.val","doc":""},"Lean.Elab.Term.LetRecToLift.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L95-L95","name":"Lean.Elab.Term.LetRecToLift.type","line":95,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.type","doc":""},"Lean.Elab.Term.LetRecToLift.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L91-L91","name":"Lean.Elab.Term.LetRecToLift.shortDeclName","line":91,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.shortDeclName","doc":""},"Lean.Elab.Term.LetRecToLift.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L88-L88","name":"Lean.Elab.Term.LetRecToLift.ref","line":88,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.ref","doc":""},"Lean.Elab.Term.LetRecToLift.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L97-L97","name":"Lean.Elab.Term.LetRecToLift.mvarId","line":97,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mvarId","doc":""},"Lean.Elab.Term.LetRecToLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.LetRecToLift.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mk","doc":""},"Lean.Elab.Term.LetRecToLift.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L94-L94","name":"Lean.Elab.Term.LetRecToLift.localInstances","line":94,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.localInstances","doc":""},"Lean.Elab.Term.LetRecToLift.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L93-L93","name":"Lean.Elab.Term.LetRecToLift.lctx","line":93,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.lctx","doc":""},"Lean.Elab.Term.LetRecToLift.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L89-L89","name":"Lean.Elab.Term.LetRecToLift.fvarId","line":89,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.fvarId","doc":""},"Lean.Elab.Term.LetRecToLift.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L92-L92","name":"Lean.Elab.Term.LetRecToLift.declName","line":92,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.declName","doc":""},"Lean.Elab.Term.LetRecToLift.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L90-L90","name":"Lean.Elab.Term.LetRecToLift.attrs","line":90,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.attrs","doc":""},"Lean.Elab.Term.LetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L87-L98","name":"Lean.Elab.Term.LetRecToLift","line":87,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift","doc":"Nested `let rec` expressions are eagerly lifted by the elaborator.\nWe store the information necessary for performing the lifting here.\n"},"Lean.Elab.Term.LetRecDeclView.valStx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L23-L23","name":"Lean.Elab.Term.LetRecDeclView.valStx","line":23,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.valStx","doc":""},"Lean.Elab.Term.LetRecDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L21-L21","name":"Lean.Elab.Term.LetRecDeclView.type","line":21,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.type","doc":""},"Lean.Elab.Term.LetRecDeclView.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L18-L18","name":"Lean.Elab.Term.LetRecDeclView.shortDeclName","line":18,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.shortDeclName","doc":""},"Lean.Elab.Term.LetRecDeclView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L16-L16","name":"Lean.Elab.Term.LetRecDeclView.ref","line":16,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.ref","doc":""},"Lean.Elab.Term.LetRecDeclView.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L22-L22","name":"Lean.Elab.Term.LetRecDeclView.mvar","line":22,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mvar","doc":""},"Lean.Elab.Term.LetRecDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mk","doc":""},"Lean.Elab.Term.LetRecDeclView.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L19-L19","name":"Lean.Elab.Term.LetRecDeclView.declName","line":19,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.declName","doc":""},"Lean.Elab.Term.LetRecDeclView.binderIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L20-L20","name":"Lean.Elab.Term.LetRecDeclView.binderIds","line":20,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.binderIds","doc":""},"Lean.Elab.Term.LetRecDeclView.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L17-L17","name":"Lean.Elab.Term.LetRecDeclView.attrs","line":17,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.attrs","doc":""},"Lean.Elab.Term.LetRecDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L15-L23","name":"Lean.Elab.Term.LetRecDeclView","line":15,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView","doc":""},"Lean.Elab.Term.LetIdDeclView.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L692-L692","name":"Lean.Elab.Term.LetIdDeclView.value","line":692,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.value","doc":""},"Lean.Elab.Term.LetIdDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L691-L691","name":"Lean.Elab.Term.LetIdDeclView.type","line":691,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.type","doc":""},"Lean.Elab.Term.LetIdDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.LetIdDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.mk","doc":""},"Lean.Elab.Term.LetIdDeclView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L689-L689","name":"Lean.Elab.Term.LetIdDeclView.id","line":689,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.id","doc":""},"Lean.Elab.Term.LetIdDeclView.binders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L690-L690","name":"Lean.Elab.Term.LetIdDeclView.binders","line":690,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.binders","doc":""},"Lean.Elab.Term.LetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L688-L692","name":"Lean.Elab.Ter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inductive datatype that represents the resolution of an `LVal`. "},"Lean.Elab.Term.LVal.isFieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L385-L387","name":"Lean.Elab.Term.LVal.isFieldName","line":385,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.isFieldName","doc":""},"Lean.Elab.Term.LVal.getRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L381-L383","name":"Lean.Elab.Term.LVal.getRef","line":381,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.getRef","doc":""},"Lean.Elab.Term.LVal.fieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L377-L379","name":"Lean.Elab.Term.LVal.fieldName","line":377,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldName","doc":"Field `suffix?` is for producing better error messages because `x.y` may be a field access or a hierarchical/composite name.\n`ref` is the syntax object representing the field. `targetStx` is the target object being accessed. "},"Lean.Elab.Term.LVal.fieldIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L376-L376","name":"Lean.Elab.Term.LVal.fieldIdx","line":376,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldIdx","doc":""},"Lean.Elab.Term.LVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L375-L379","name":"Lean.Elab.Term.LVal","line":375,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal","doc":"Auxiliary datatype for presenting a Lean lvalue modifier.\nWe represent an unelaborated lvalue as a `Syntax` (or `Expr`) and `List LVal`.\nExample: `a.foo.1` is represented as the `Syntax` `a` and the list\n`[LVal.fieldName \"foo\", LVal.fieldIdx 1]`.\n"},"Lean.Elab.Term.GeneralizeResult.toClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L820-L820","name":"Lean.Elab.Term.GeneralizeResult.toClear","line":820,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.toClear","doc":"`FVarId`s of the variables that have been generalized. We store them to clear after in each branch. "},"Lean.Elab.Term.GeneralizeResult.refined":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L823-L823","name":"Lean.Elab.Term.GeneralizeResult.refined","line":823,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.refined","doc":""},"Lean.Elab.Term.GeneralizeResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.GeneralizeResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.mk","doc":""},"Lean.Elab.Term.GeneralizeResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L821-L821","name":"Lean.Elab.Term.GeneralizeResult.matchType","line":821,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.matchType","doc":""},"Lean.Elab.Term.GeneralizeResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L818-L818","name":"Lean.Elab.Term.GeneralizeResult.discrs","line":818,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.discrs","doc":""},"Lean.Elab.Term.GeneralizeResult.altViews":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L822-L822","name":"Lean.Elab.Term.GeneralizeResult.altViews","line":822,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.altViews","doc":""},"Lean.Elab.Term.GeneralizeResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L817-L823","name":"Lean.Elab.Term.GeneralizeResult","line":817,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult","doc":""},"Lean.Elab.Term.FunBinders.elabFunBindersAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L433-L439","name":"Lean.Elab.Term.FunBinders.elabFunBindersAux","line":433,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.elabFunBindersAux","doc":""},"Lean.Elab.Term.FunBinders.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.FunBinders.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.mk","doc":""},"Lean.Elab.Term.FunBinders.State.localInsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L388-L388","name":"Lean.Elab.Term.FunBinders.State.localInsts","line":388,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.localInsts","doc":""},"Lean.Elab.Term.FunBinders.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L387-L387","name":"Lean.Elab.Term.FunBinders.State.lctx","line":387,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.lctx","doc":""},"Lean.Elab.Term.FunBinders.State.fvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L386-L386","name":"Lean.Elab.Term.FunBinders.State.fvars","line":386,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.fvars","doc":""},"Lean.Elab.Term.FunBinders.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L389-L389","name":"Lean.Elab.Term.FunBinders.State.expectedType?","line":389,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.expectedType?","doc":""},"Lean.Elab.Term.FunBinders.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L385-L389","name":"Lean.Elab.Term.FunBinders.State","line":385,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State","doc":""},"Lean.Elab.Term.ExtractMonadResult.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L90-L90","name":"Lean.Elab.Term.ExtractMonadResult.returnType","line":90,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.returnType","doc":""},"Lean.Elab.Term.ExtractMonadResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.ExtractMonadResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.mk","doc":""},"Lean.Elab.Term.ExtractMonadResult.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L89-L89","name":"Lean.Elab.Term.ExtractMonadResult.m","line":89,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.m","doc":""},"Lean.Elab.Term.ExtractMonadResult.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L91-L91","name":"Lean.Elab.Term.ExtractMonadResult.expectedType","line":91,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.expectedType","doc":""},"Lean.Elab.Term.ExtractMonadResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L88-L91","name":"Lean.Elab.Term.ExtractMonadResult","line":88,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L65-L65","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","line":65,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L68-L68","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","line":68,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","doc":"`true` when performing dependent elimination. We use this to decide whether we optimize the \"match unit\" case.\nSee `isMatchUnit?`. "},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L64-L64","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","line":64,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L69-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","line":69,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L63-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","line":63,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","doc":""},"Lean.Elab.Term.ElabElim.setMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L817-L818","name":"Lean.Elab.Term.ElabElim.setMotive","line":817,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.setMotive","doc":"Set the `motive` field in the state. "},"Lean.Elab.Term.ElabElim.saveArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L833-L837","name":"Lean.Elab.Term.ElabElim.saveArgInfo","line":833,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.saveArgInfo","doc":"Save information for producing error messages. "},"Lean.Elab.Term.ElabElim.revertArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L749-L759","name":"Lean.Elab.Term.ElabElim.revertArgs","line":749,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.revertArgs","doc":"If the eliminator is over-applied, we \"revert\" the extra arguments. "},"Lean.Elab.Term.ElabElim.mkMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L740-L746","name":"Lean.Elab.Term.ElabElim.mkMotive","line":740,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkMotive","doc":"Infer the `motive` using the expected type by `kabstract`ing the discriminants. "},"Lean.Elab.Term.ElabElim.mkImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L840-L844","name":"Lean.Elab.Term.ElabElim.mkImplicitArg","line":840,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkImplicitArg","doc":"Create an implicit argument using the given `BinderInfo`. "},"Lean.Elab.Term.ElabElim.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L847-L873","name":"Lean.Elab.Term.ElabElim.main","line":847,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.main","doc":"Main loop of the `elimAsElab` procedure. "},"Lean.Elab.Term.ElabElim.getNextArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L801-L814","name":"Lean.Elab.Term.ElabElim.getNextArg?","line":801,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.getNextArg?","doc":"Return the next argument to be processed.\nThe result is `.none` if it is an implicit argument which was not provided using a named argument.\nThe result is `.undef` if `args` is empty and `namedArgs` does contain an entry for `binderName`.\n"},"Lean.Elab.Term.ElabElim.finalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L765-L794","name":"Lean.Elab.Term.ElabElim.finalize","line":765,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.finalize","doc":"Construct the resulting application after all discriminants have bee elaborated, and we have\nconsumed as many given arguments as possible.\n"},"Lean.Elab.Term.ElabElim.addDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L821-L822","name":"Lean.Elab.Term.ElabElim.addDiscr","line":821,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.addDiscr","doc":"Push the given expression into the `discrs` field in the state. "},"Lean.Elab.Term.ElabElim.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L725-L725","name":"Lean.Elab.Term.ElabElim.State.namedArgs","line":725,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.namedArgs","doc":"User-provided named arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State.motive?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L735-L735","name":"Lean.Elab.Term.ElabElim.State.motive?","line":735,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.motive?","doc":"Store the metavariable used to represent the motive that will be computed at `finalize`. "},"Lean.Elab.Term.ElabElim.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.mk","doc":""},"Lean.Elab.Term.ElabElim.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L731-L731","name":"Lean.Elab.Term.ElabElim.State.instMVars","line":731,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.instMVars","doc":"Instance implicit arguments collected so far. "},"Lean.Elab.Term.ElabElim.State.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L733-L733","name":"Lean.Elab.Term.ElabElim.State.idx","line":733,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.idx","doc":"Position of the next argument to be processed. We use it to decide whether the argument is the motive or a discriminant. "},"Lean.Elab.Term.ElabElim.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L723-L723","name":"Lean.Elab.Term.ElabElim.State.fType","line":723,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.fType","doc":"`f : fType "},"Lean.Elab.Term.ElabElim.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L721-L721","name":"Lean.Elab.Term.ElabElim.State.f","line":721,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.f","doc":"The resultant expression being built. "},"Lean.Elab.Term.ElabElim.State.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L729-L729","name":"Lean.Elab.Term.ElabElim.State.discrs","line":729,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.discrs","doc":"Discriminants processed so far. "},"Lean.Elab.Term.ElabElim.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L727-L727","name":"Lean.Elab.Term.ElabElim.State.args","line":727,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.args","doc":"User-provided arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L719-L735","name":"Lean.Elab.Term.ElabElim.State","line":719,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State","doc":"State of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabElim.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L737-L737","name":"Lean.Elab.Term.ElabElim.M","line":737,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.M","doc":""},"Lean.Elab.Term.ElabElim.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.mk","doc":""},"Lean.Elab.Term.ElabElim.Context.extraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L716-L716","name":"Lean.Elab.Term.ElabElim.Context.extraArgsPos","line":716,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.extraArgsPos","doc":"Position of additional arguments that should be elaborated eagerly\nbecause they can contribute to the motive inference procedure.\nFor example, in the following theorem the argument `h : a = b`\nshould be elaborated eagerly because it contains `b` which occurs\nin `motive b`.\n```\ntheorem Eq.subst' {α} {motive : α → Prop} {a b : α} (h : a = b) : motive a → motive b\n```\n"},"Lean.Elab.Term.ElabElim.Context.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L705-L705","name":"Lean.Elab.Term.ElabElim.Context.expectedType","line":705,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.expectedType","doc":""},"Lean.Elab.Term.ElabElim.Context.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L704-L704","name":"Lean.Elab.Term.ElabElim.Context.elimInfo","line":704,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.elimInfo","doc":""},"Lean.Elab.Term.ElabElim.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L703-L716","name":"Lean.Elab.Term.ElabElim.Context","line":703,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context","doc":"Context of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L174-L181","name":"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","line":174,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet stay in the `instMVars` list.\nRemark: we use this method\n - before trying to apply coercions to function,\n - before unifying the expected type.\n"},"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L187-L189","name":"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","line":187,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet are registered.\n"},"Lean.Elab.Term.ElabAppArgs.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L654-L676","name":"Lean.Elab.Term.ElabAppArgs.main","line":654,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.main","doc":"Elaborate function application arguments. "},"Lean.Elab.Term.ElabAppArgs.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L226-L227","name":"Lean.Elab.Term.ElabAppArgs.eraseNamedArg","line":226,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.eraseNamedArg","doc":"Remove named argument with name `binderName` from `namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L147-L147","name":"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","line":147,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","doc":"Metavariables that we need to set the error context using the application being built. "},"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L159-L159","name":"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","line":159,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","doc":"If the result type may be the `outParam` of some local instance.\nSee comment at `Context.resultIsOutParamSupport`\n"},"Lean.Elab.Term.ElabAppArgs.State.propagateExpected":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L154-L154","name":"Lean.Elab.Term.ElabAppArgs.State.propagateExpected","line":154,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.propagateExpected","doc":"The following field is used to implement the `propagateExpectedType` heuristic.\nIt is set to `true` true when `expectedType` still has to be propagated.\n"},"Lean.Elab.Term.ElabAppArgs.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L132-L132","name":"Lean.Elab.Term.ElabAppArgs.State.namedArgs","line":132,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.namedArgs","doc":"remaining named arguments to be processed. "},"Lean.Elab.Term.ElabAppArgs.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L149-L149","name":"Lean.Elab.Term.ElabAppArgs.State.instMVars","line":149,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.instMVars","doc":"Metavariables for the instance implicit arguments that have already been processed. "},"Lean.Elab.Term.ElabAppArgs.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L128-L128","name":"Lean.Elab.Term.ElabAppArgs.State.fType","line":128,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.fType","doc":""},"Lean.Elab.Term.ElabAppArgs.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L127-L127","name":"Lean.Elab.Term.ElabAppArgs.State.f","line":127,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.f","doc":""},"Lean.Elab.Term.ElabAppArgs.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L133-L133","name":"Lean.Elab.Term.ElabAppArgs.State.expectedType?","line":133,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.expectedType?","doc":""},"Lean.Elab.Term.ElabAppArgs.State.etaArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L145-L145","name":"Lean.Elab.Term.ElabAppArgs.State.etaArgs","line":145,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.etaArgs","doc":"When named arguments are provided and explicit arguments occurring before them are missing,\nthe elaborator eta-expands the declaration. For example,\n```\ndef f (x y : Nat) := x + y\n#check f (y := 5)\n-- fun x => f x 5\n```\n`etaArgs` stores the fresh free variables for implementing the eta-expansion.\nWhen `..` is used, eta-expansion is disabled, and missing arguments are treated as `_`.\n"},"Lean.Elab.Term.ElabAppArgs.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L130-L130","name":"Lean.Elab.Term.ElabAppArgs.State.args","line":130,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.args","doc":"Remaining regular arguments. "},"Lean.Elab.Term.ElabAppArgs.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L126-L159","name":"Lean.Elab.Term.ElabAppArgs.State","line":126,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State","doc":"Auxiliary structure for elaborating the application `f args namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L161-L161","name":"Lean.Elab.Term.ElabAppArgs.M","line":161,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.M","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L123-L123","name":"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","line":123,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","doc":"If the result type of an application is the `outParam` of some local instance, then special support may be needed\nbecause type class resolution interacts poorly with coercions in this kind of situation.\nThis flag enables the special support.\n\nThe idea is quite simple, if the result type is the `outParam` of some local instance, we simply\nexecute `synthesizeSyntheticMVarsUsingDefault`. We added this feature to make sure examples as follows\nare correctly elaborated.\n```lean\nclass GetElem (Cont : Type u) (Idx : Type v) (Elem : outParam (Type w)) where\n getElem (xs : Cont) (i : Idx) : Elem\n\nexport GetElem (getElem)\n\ninstance : GetElem (Array α) Nat α where\n getElem xs i := xs.get ⟨i, sorry⟩\n\nopaque f : Option Bool → Bool\nopaque g : Bool → Bool\n\ndef bad (xs : Array Bool) : Bool :=\n let x := getElem xs 0\n f x && g x\n```\nWithout the special support, Lean fails at `g x` saying `x` has type `Option Bool` but is expected to have type `Bool`.\nFrom the user's point of view this is a bug, since `let x := getElem xs 0` clearly constrains `x` to be `Bool`, but\nwe only obtain this information after we apply the `OfNat` default instance for `0`.\n\nBefore converging to this solution, we have tried to create a \"coercion placeholder\" when `resultIsOutParamSupport = true`,\nbut it did not work well in practice. For example, it failed in the example above.\n"},"Lean.Elab.Term.ElabAppArgs.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L91-L91","name":"Lean.Elab.Term.ElabAppArgs.Context.explicit","line":91,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.explicit","doc":"`true` if `@` modifier was used\n"},"Lean.Elab.Term.ElabAppArgs.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L87-L87","name":"Lean.Elab.Term.ElabAppArgs.Context.ellipsis","line":87,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.ellipsis","doc":"`true` if `..` was used\n"},"Lean.Elab.Term.ElabAppArgs.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L83-L123","name":"Lean.Elab.Term.ElabAppArgs.Context","line":83,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context","doc":""},"Lean.Elab.Term.Do.pullExitPointsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L374-L390","name":"Lean.Elab.Term.Do.pullExitPointsAux","line":374,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPointsAux","doc":"`pullExitPointsAux rs c` auxiliary method for `pullExitPoints`, `rs` is the set of update variable in the current path. "},"Lean.Elab.Term.Do.pullExitPoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L441-L446","name":"Lean.Elab.Term.Do.pullExitPoints","line":441,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPoints","doc":"Auxiliary operation for adding new variables to the collection of updated variables in a CodeBlock.\nWhen a new variable is not already in the collection, but is shadowed by some declaration in `c`,\nwe create auxiliary join points to make sure we preserve the semantics of the code block.\nExample: suppose we have the code block `print x; let x := 10; return x`. And we want to extend it\nwith the reassignment `x := x + 1`. We first use `pullExitPoints` to create\n```\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nand then we add the reassignment\n```\nx := x + 1\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nNote that we created a fresh variable `x!1` to avoid accidental name capture.\nAs another example, consider\n```\nprint x;\nlet x := 10\ny := y + 1;\nreturn x;\n```\nWe transform it into\n```\nlet jp (y x!1) := return x!1;\nprint x;\nlet x := 10\ny := y + 1;\njmp jp y x\n```\nand then we add the reassignment as in the previous example.\nWe need to include `y` in the jump, because each exit point is implicitly returning the set of\nupdate variables.\n\nWe implement the method as follows. Let `us` be `c.uvars`, then\n1- for each `return _ y` in `c`, we create a join point\n `let j (us y!1) := return y!1`\n and replace the `return _ y` with `jmp us y`\n2- for each `break`, we create a join point\n `let j (us) := break`\n and replace the `break` with `jmp us`.\n3- Same as 2 for `continue`.\n"},"Lean.Elab.Term.Do.mkVarDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L509-L512","name":"Lean.Elab.Term.Do.mkVarDeclCore","line":509,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkVarDeclCore","doc":"Extending code blocks with variable declarations: `let x : t := v` and `let x : t ← v`.\nWe remove `x` from the collection of updated varibles.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `let (x, y) := t`\n"},"Lean.Elab.Term.Do.mkUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L560-L562","name":"Lean.Elab.Term.Do.mkUnless","line":560,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkUnless","doc":""},"Lean.Elab.Term.Do.mkTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L531-L532","name":"Lean.Elab.Term.Do.mkTerminalAction","line":531,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkTerminalAction","doc":""},"Lean.Elab.Term.Do.mkSimpleJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L351-L358","name":"Lean.Elab.Term.Do.mkSimpleJmp","line":351,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSimpleJmp","doc":"Create a new jointpoint for `c`, and jump to it with the variables `rs` "},"Lean.Elab.Term.Do.mkSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L528-L529","name":"Lean.Elab.Term.Do.mkSeq","line":528,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSeq","doc":""},"Lean.Elab.Term.Do.mkReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L534-L535","name":"Lean.Elab.Term.Do.mkReturn","line":534,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReturn","doc":""},"Lean.Elab.Term.Do.mkReassignCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L520-L526","name":"Lean.Elab.Term.Do.mkReassignCore","line":520,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReassignCore","doc":"Extending code blocks with reassignments: `x : t := v` and `x : t ← v`.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `(x, y) ← t`\n"},"Lean.Elab.Term.Do.mkPureUnitAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L557-L558","name":"Lean.Elab.Term.Do.mkPureUnitAction","line":557,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkPureUnitAction","doc":""},"Lean.Elab.Term.Do.mkMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L564-L570","name":"Lean.Elab.Term.Do.mkMatch","line":564,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkMatch","doc":""},"Lean.Elab.Term.Do.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L363-L371","name":"Lean.Elab.Term.Do.mkJmp","line":363,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkJmp","doc":"Create a new joinpoint that takes `rs` and `val` as arguments. `val` must be syntax representing a pure value.\nThe body of the joinpoint is created using `mkJPBody yFresh`, where `yFresh`\nis a fresh variable created by this method. "},"Lean.Elab.Term.Do.mkIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L543-L549","name":"Lean.Elab.Term.Do.mkIte","line":543,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkIte","doc":""},"Lean.Elab.Term.Do.mkFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L322-L332","name":"Lean.Elab.Term.Do.mkFreshJP","line":322,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkFreshJP","doc":""},"Lean.Elab.Term.Do.mkDoSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L687-L688","name":"Lean.Elab.Term.Do.mkDoSeq","line":687,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkDoSeq","doc":""},"Lean.Elab.Term.Do.mkContinue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L540-L541","name":"Lean.Elab.Term.Do.mkContinue","line":540,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkContinue","doc":""},"Lean.Elab.Term.Do.mkBreak":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L537-L538","name":"Lean.Elab.Term.Do.mkBreak","line":537,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkBreak","doc":""},"Lean.Elab.Term.Do.mkAuxDeclFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L286-L292","name":"Lean.Elab.Term.Do.mkAuxDeclFor","line":286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkAuxDeclFor","doc":""},"Lean.Elab.Term.Do.isMutableLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1162-L1166","name":"Lean.Elab.Term.Do.isMutableLet","line":1162,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.isMutableLet","doc":""},"Lean.Elab.Term.Do.isDoExpr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L743-L747","name":"Lean.Elab.Term.Do.isDoExpr?","line":743,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.isDoExpr?","doc":"Return 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`"},"Lean.Elab.Term.Do.instInhabitedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L201-L201","name":"Lean.Elab.Term.Do.instInhabitedCode","line":201,"kind":"instance","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.instInhabitedCode","doc":""},"Lean.Elab.Term.Do.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L137-L137","name":"Lean.Elab.Term.Do.instInhabitedAlt","line":137,"kind":"instance","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.instInhabitedAlt","doc":""},"Lean.Elab.Term.Do.insertVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L339-L340","name":"Lean.Elab.Term.Do.insertVars","line":339,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.insertVars","doc":""},"Lean.Elab.Term.Do.homogenize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L496-L500","name":"Lean.Elab.Term.Do.homogenize","line":496,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.homogenize","doc":"Given two code blocks `c₁` and `c₂`, make sure they have the same set of updated variables.\nLet `ws` the union of the updated variables in `c₁‵ and ‵c₂`.\nWe use `extendUpdatedVars c₁ ws` and `extendUpdatedVars c₂ ws`\n"},"Lean.Elab.Term.Do.hasTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L268-L271","name":"Lean.Elab.Term.Do.hasTerminalAction","line":268,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasTerminalAction","doc":""},"Lean.Elab.Term.Do.hasReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L263-L266","name":"Lean.Elab.Term.Do.hasReturn","line":263,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasReturn","doc":""},"Lean.Elab.Term.Do.hasExitPointPred.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L249-L257","name":"Lean.Elab.Term.Do.hasExitPointPred.loop","line":249,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred.loop","doc":""},"Lean.Elab.Term.Do.hasExitPointPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L248-L258","name":"Lean.Elab.Term.Do.hasExitPointPred","line":248,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred","doc":"Return true if the give code contains an exit point that satisfies `p` "},"Lean.Elab.Term.Do.hasExitPoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L260-L261","name":"Lean.Elab.Term.Do.hasExitPoint","line":260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPoint","doc":""},"Lean.Elab.Term.Do.hasBreakContinueReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L279-L284","name":"Lean.Elab.Term.Do.hasBreakContinueReturn","line":279,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasBreakContinueReturn","doc":""},"Lean.Elab.Term.Do.hasBreakContinue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L273-L277","name":"Lean.Elab.Term.Do.hasBreakContinue","line":273,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasBreakContinue","doc":""},"Lean.Elab.Term.Do.getPatternsVarsEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L598-L600","name":"Lean.Elab.Term.Do.getPatternsVarsEx","line":598,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getPatternsVarsEx","doc":""},"Lean.Elab.Term.Do.getPatternVarsEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L594-L596","name":"Lean.Elab.Term.Do.getPatternVarsEx","line":594,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getPatternVarsEx","doc":""},"Lean.Elab.Term.Do.getLetPatDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L602-L604","name":"Lean.Elab.Term.Do.getLetPatDeclVars","line":602,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetPatDeclVars","doc":""},"Lean.Elab.Term.Do.getLetIdDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L587-L591","name":"Lean.Elab.Term.Do.getLetIdDeclVars","line":587,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetIdDeclVars","doc":""},"Lean.Elab.Term.Do.getLetEqnsDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L606-L610","name":"Lean.Elab.Term.Do.getLetEqnsDeclVars","line":606,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetEqnsDeclVars","doc":""},"Lean.Elab.Term.Do.getLetDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L612-L621","name":"Lean.Elab.Term.Do.getLetDeclVars","line":612,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetDeclVars","doc":""},"Lean.Elab.Term.Do.getHaveIdLhsVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L627-L631","name":"Lean.Elab.Term.Do.getHaveIdLhsVar","line":627,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getHaveIdLhsVar","doc":""},"Lean.Elab.Term.Do.getDoReassignVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L678-L685","name":"Lean.Elab.Term.Do.getDoReassignVars","line":678,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoReassignVars","doc":""},"Lean.Elab.Term.Do.getDoPatDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L664-L666","name":"Lean.Elab.Term.Do.getDoPatDeclVars","line":664,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoPatDeclVars","doc":""},"Lean.Elab.Term.Do.getDoLetVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L623-L625","name":"Lean.Elab.Term.Do.getDoLetVars","line":623,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetVars","doc":""},"Lean.Elab.Term.Do.getDoLetRecVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L649-L657","name":"Lean.Elab.Term.Do.getDoLetRecVars","line":649,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetRecVars","doc":""},"Lean.Elab.Term.Do.getDoLetArrowVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L669-L676","name":"Lean.Elab.Term.Do.getDoLetArrowVars","line":669,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetArrowVars","doc":""},"Lean.Elab.Term.Do.getDoIdDeclVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L660-L661","name":"Lean.Elab.Term.Do.getDoIdDeclVar","line":660,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoIdDeclVar","doc":""},"Lean.Elab.Term.Do.getDoHaveVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L633-L647","name":"Lean.Elab.Term.Do.getDoHaveVars","line":633,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoHaveVars","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L449-L473","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux.update","line":449,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux.update","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L448-L474","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux","line":448,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux","doc":""},"Lean.Elab.Term.Do.extendUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L481-L486","name":"Lean.Elab.Term.Do.extendUpdatedVars","line":481,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVars","doc":"Extend the set of updated variables. It assumes `ws` is a super set of `c.uvars`.\nWe **cannot** simply update the field `c.uvars`, because `c` may have shadowed some variable in `ws`.\nSee discussion at `pullExitPoints`.\n"},"Lean.Elab.Term.Do.eraseVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L342-L343","name":"Lean.Elab.Term.Do.eraseVars","line":342,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseVars","doc":""},"Lean.Elab.Term.Do.eraseOptVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L345-L348","name":"Lean.Elab.Term.Do.eraseOptVar","line":345,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseOptVar","doc":""},"Lean.Elab.Term.Do.elabDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1676-L1684","name":"Lean.Elab.Term.Do.elabDo","line":1676,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.elabDo","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L296-L308","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","line":296,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L295-L309","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp","line":295,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp","doc":"Convert `action _ e` instructions in `c` into `let y ← e; jmp _ jp (xs y)`. "},"Lean.Elab.Term.Do.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L574-L585","name":"Lean.Elab.Term.Do.concat","line":574,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.concat","doc":"Return a code block that executes `terminal` and then `k` with the value produced by `terminal`.\nThis method assumes `terminal` is a terminal "},"Lean.Elab.Term.Do.attachJPs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L319-L320","name":"Lean.Elab.Term.Do.attachJPs","line":319,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJPs","doc":""},"Lean.Elab.Term.Do.attachJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L316-L317","name":"Lean.Elab.Term.Do.attachJP","line":316,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJP","doc":""},"Lean.Elab.Term.Do.annotate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L885-L886","name":"Lean.Elab.Term.Do.annotate","line":885,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.annotate","doc":"Helper method for annotating `term` with the raw syntax `ref`.\nWe use this method to implement finer-grained term infos for `do`-blocks.\n\nWe use `withRef term` to make sure the synthetic position for the `with_annotate_term` is equal\nto the one for `term`. This is important for producing error messages when there is a type mismatch.\nConsider the following example:\n```\nopaque f : IO Nat\n\ndef g : IO String := do\n f\n```\nThere is at type mismatch at `f`, but it is detected when elaborating the expanded term\ncontaining the `with_annotate_term .. f`. The current `getRef` when this `annotate` is invoked\nis not necessarily `f`. Actually, it is the whole `do`-block. By using `withRef` we ensure\nthe synthetic position for the `with_annotate_term ..` is equal to `term`.\nRecall that synthetic positions are used when generating error messages.\n"},"Lean.Elab.Term.Do.addFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L334-L337","name":"Lean.Elab.Term.Do.addFreshJP","line":334,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.addFreshJP","doc":""},"Lean.Elab.Term.Do.VarSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L216-L216","name":"Lean.Elab.Term.Do.VarSet","line":216,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.VarSet","doc":""},"Lean.Elab.Term.Do.Var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L129-L129","name":"Lean.Elab.Term.Do.Var","line":129,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Var","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1063-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm.go","line":1063,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm.go","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1056-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm","line":1056,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.seqToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L967-L976","name":"Lean.Elab.Term.Do.ToTerm.seqToTerm","line":967,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.seqToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1084-L1085","name":"Lean.Elab.Term.Do.ToTerm.run","line":1084,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.run","doc":""},"Lean.Elab.Term.Do.ToTerm.returnToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L919-L929","name":"Lean.Elab.Term.Do.ToTerm.returnToTerm","line":919,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.returnToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.reassignToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1009-L1015","name":"Lean.Elab.Term.Do.ToTerm.reassignToTerm","line":1009,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.reassignToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkUVarTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L915-L917","name":"Lean.Elab.Term.Do.ToTerm.mkUVarTuple","line":915,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkUVarTuple","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1104-L1105","name":"Lean.Elab.Term.Do.ToTerm.mkNestedTerm","line":1104,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1093-L1102","name":"Lean.Elab.Term.Do.ToTerm.mkNestedKind","line":1093,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedKind","doc":"Given\n- `a` is true if the code block has a `Code.action _` exit point\n- `r` is true if the code block has a `Code.return _ _` exit point\n- `bc` is true if the code block has a `Code.break _` or `Code.continue _` exit point\n\ngenerate Kind. See comment at the beginning of the `ToTerm` namespace. 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"},"Lean.Elab.Term.Do.ToTerm.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToTerm.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.mk","doc":""},"Lean.Elab.Term.Do.ToTerm.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L907-L907","name":"Lean.Elab.Term.Do.ToTerm.Context.m","line":907,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.m","doc":"Syntax to reference the monad associated with the do notation. "},"Lean.Elab.Term.Do.ToTerm.Context.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L911-L911","name":"Lean.Elab.Term.Do.ToTerm.Context.kind","line":911,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.kind","doc":""},"Lean.Elab.Term.Do.ToTerm.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L905-L911","name":"Lean.Elab.Term.Do.ToTerm.Context","line":905,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1181-L1182","name":"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","line":1181,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1200-L1201","name":"Lean.Elab.Term.Do.ToCodeBlock.withFor","line":1200,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1294-L1299","name":"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","line":1294,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1671-L1672","name":"Lean.Elab.Term.Do.ToCodeBlock.run","line":1671,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.run","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1207-L1212","name":"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","line":1207,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1286-L1292","name":"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","line":1286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1252-L1258","name":"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","line":1252,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1214-L1216","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","line":1214,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1218-L1220","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","line":1218,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1418-L1423","name":"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","line":1418,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","doc":"Generate `CodeBlock` for `doUnless; doElems`\n`doUnless` is of the form\n```\n\"unless \" >> termParser >> \"do \" >> doSeq\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1544-L1593","name":"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","line":1544,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","doc":"Generate `CodeBlock` for `doTry; doElems`\n```\ndef doTry := leading_parser \"try \" >> doSeq >> many (doCatch <|> doCatchMatch) >> optional doFinally\ndef doCatch := leading_parser \"catch \" >> binderIdent >> optional (\":\" >> termParser) >> darrow >> doSeq\ndef doCatchMatch := leading_parser \"catch \" >> doMatchAlts\ndef doFinally := leading_parser \"finally \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1595-L1668","name":"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","line":1595,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1275-L1279","name":"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","line":1275,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","doc":"Generate `CodeBlock` for `doReturn` which is of the form\n```\n\"return \" >> optional termParser\n```\n`doElems` is only used for sanity checking. "},"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1380-L1397","name":"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","line":1380,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","doc":"Generate `CodeBlock` for `doReassignArrow; doElems`\n`doReassignArrow` is of the form\n```\n(doIdDecl <|> doPatDecl)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1518-L1533","name":"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","line":1518,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","doc":"Generate `CodeBlock` for `doMatch; doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1360-L1372","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","line":1360,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1322-L1358","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","line":1322,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","doc":"Generate `CodeBlock` for `doLetArrow; doElems`\n`doLetArrow` is of the form\n```\n\"let \" >> optional \"mut \" >> (doIdDecl <|> doPatDecl)\n```\nwhere\n```\ndef doIdDecl := leading_parser ident >> optType >> leftArrow >> doElemParser\ndef doPatDecl := leading_parser termParser >> leftArrow >> doElemParser >> optional (\" | \" >> doSeq)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1406-L1411","name":"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","line":1406,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","doc":"Generate `CodeBlock` for `doIf; doElems`\n`doIf` is of the form\n```\n\"if \" >> optIdent >> termParser >> \" then \" >> doSeq\n >> many (group (try (group (\" else \" >> \" if \")) >> optIdent >> termParser >> \" then \" >> doSeq))\n >> optional (\" else \" >> doSeq)\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doForToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1432-L1515","name":"Lean.Elab.Term.Do.ToCodeBlock.doForToCode","line":1432,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doForToCode","doc":"Generate `CodeBlock` for `doFor; doElems`\n`doFor` is of the form\n```\ndef doForDecl := leading_parser termParser >> \" in \" >> withForbidden \"do\" termParser\ndef doFor := leading_parser \"for \" >> sepBy1 doForDecl \", \" >> \"do \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.concatWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1303-L1309","name":"Lean.Elab.Term.Do.ToCodeBlock.concatWith","line":1303,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.concatWith","doc":"\"Concatenate\" `c` with `doSeqToCode doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1184-L1190","name":"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","line":1184,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1192-L1198","name":"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","line":1192,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1260-L1268","name":"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","line":1260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1204-L1204","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","line":1204,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1205-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","line":1205,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1203-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","line":1203,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1179-L1179","name":"Lean.Elab.Term.Do.ToCodeBlock.M","line":1179,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.M","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1175-L1175","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","line":1175,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","doc":"Syntax to reference the result of the monadic computation performed by the do notation. 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code block, and the collection of variables updated by it. 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We store the variable name at `var?`. "},"Lean.Elab.Term.Do.Code.getRef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L203-L214","name":"Lean.Elab.Term.Do.Code.getRef?","line":203,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.getRef?","doc":""},"Lean.Elab.Term.Do.Code.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L188-L188","name":"Lean.Elab.Term.Do.Code.decl","line":188,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.decl","doc":""},"Lean.Elab.Term.Do.Code.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L195-L195","name":"Lean.Elab.Term.Do.Code.continue","line":195,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.continue","doc":""},"Lean.Elab.Term.Do.Code.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L194-L194","name":"Lean.Elab.Term.Do.Code.break","line":194,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.break","doc":""},"Lean.Elab.Term.Do.Code.action":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L193-L193","name":"Lean.Elab.Term.Do.Code.action","line":193,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.action","doc":""},"Lean.Elab.Term.Do.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L187-L201","name":"Lean.Elab.Term.Do.Code","line":187,"kind":"inductive","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code","doc":"Auxiliary datastructure for representing a `do` code block, and compiling \"reassignments\" (e.g., `x := x + 1`).\nWe convert `Code` into a `Syntax` term representing the:\n- `do`-block, or\n- the visitor argument for the `forIn` combinator.\n\nWe say the following constructors are terminals:\n- `break`: for interrupting a `for x in s`\n- `continue`: for interrupting the current iteration of a `for x in s`\n- `return e`: for returning `e` as the result for the whole `do` computation block\n- `action a`: for executing action `a` as a terminal\n- `ite`: if-then-else\n- `match`: pattern matching\n- `jmp` a goto to a join-point\n\nWe say the terminals `break`, `continue`, `action`, and `return` are \"exit points\"\n\nNote that, `return e` is not equivalent to `action (pure e)`. Here is an example:\n```\ndef f (x : Nat) : IO Unit := do\nif x == 0 then\n return ()\nIO.println \"hello\"\n```\nExecuting `#eval f 0` will not print \"hello\". Now, consider\n```\ndef g (x : Nat) : IO Unit := do\nif x == 0 then\n pure ()\nIO.println \"hello\"\n```\nThe `if` statement is essentially a noop, and \"hello\" is printed when we execute `g 0`.\n\n- `decl` represents all declaration-like `doElem`s (e.g., `let`, `have`, `let rec`).\n The field `stx` is the actual `doElem`,\n `vars` is the array of variables declared by it, and `cont` is the next instruction in the `do` code block.\n `vars` is an array since we have declarations such as `let (a, b) := s`.\n\n- `reassign` is an reassignment-like `doElem` (e.g., `x := x + 1`).\n\n- `joinpoint` is a join point declaration: an auxiliary `let`-declaration used to represent the control-flow.\n\n- `seq a k` executes action `a`, ignores its result, and then executes `k`.\n We also store the do-elements `dbg_trace` and `assert!` as actions in a `seq`.\n\nA code block `C` is well-formed if\n- For every `jmp ref j as` in `C`, there is a `joinpoint j ps b k` and `jmp ref j as` is in `k`, and\n `ps.size == as.size` "},"Lean.Elab.Term.Do.Alt.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L134-L134","name":"Lean.Elab.Term.Do.Alt.vars","line":134,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.vars","doc":""},"Lean.Elab.Term.Do.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L136-L136","name":"Lean.Elab.Term.Do.Alt.rhs","line":136,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.rhs","doc":""},"Lean.Elab.Term.Do.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L133-L133","name":"Lean.Elab.Term.Do.Alt.ref","line":133,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.ref","doc":""},"Lean.Elab.Term.Do.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L135-L135","name":"Lean.Elab.Term.Do.Alt.patterns","line":135,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.patterns","doc":""},"Lean.Elab.Term.Do.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L132-L132","name":"Lean.Elab.Term.Do.Alt.mk","line":132,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.mk","doc":""},"Lean.Elab.Term.Do.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L132-L137","name":"Lean.Elab.Term.Do.Alt","line":132,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt","doc":"A `doMatch` alternative. `vars` is the array of variables declared by `patterns`. "},"Lean.Elab.Term.Discr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.Discr.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.mk","doc":""},"Lean.Elab.Term.Discr.h?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L60-L60","name":"Lean.Elab.Term.Discr.h?","line":60,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.h?","doc":"`some h` if discriminant is annotated with the `h : ` notation. "},"Lean.Elab.Term.Discr.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L58-L58","name":"Lean.Elab.Term.Discr.expr","line":58,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.expr","doc":""},"Lean.Elab.Term.Discr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L57-L61","name":"Lean.Elab.Term.Discr","line":57,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr","doc":""},"Lean.Elab.Term.Context.tacticCache?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L206-L206","name":"Lean.Elab.Term.Context.tacticCache?","line":206,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.tacticCache?","doc":"Cache for the `save` tactic. It is only `some` in the LSP server. "},"Lean.Elab.Term.Context.sectionVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L194-L194","name":"Lean.Elab.Term.Context.sectionVars","line":194,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionVars","doc":"Map from user name to internal unique name "},"Lean.Elab.Term.Context.sectionFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L196-L196","name":"Lean.Elab.Term.Context.sectionFVars","line":196,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionFVars","doc":"Map from internal name to fvar "},"Lean.Elab.Term.Context.saveRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L211-L211","name":"Lean.Elab.Term.Context.saveRecAppSyntax","line":211,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.saveRecAppSyntax","doc":"If `true`, we store in the `Expr` the `Syntax` for recursive applications (i.e., applications\nof free variables tagged with `isAuxDecl`). We store the `Syntax` using `mkRecAppWithSyntax`.\nWe use the `Syntax` object to produce better error messages at `Structural.lean` and `WF.lean`. "},"Lean.Elab.Term.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mk","doc":""},"Lean.Elab.Term.Context.mayPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L166-L166","name":"Lean.Elab.Term.Context.mayPostpone","line":166,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mayPostpone","doc":"When `mayPostpone == true`, an elaboration function may interrupt its execution by throwing `Exception.postpone`.\nThe function `elabTerm` catches this exception and creates fresh synthetic metavariable `?m`, stores `?m` in\nthe list of pending synthetic metavariables, and returns `?m`. "},"Lean.Elab.Term.Context.macroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L161-L161","name":"Lean.Elab.Term.Context.macroStack","line":161,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.macroStack","doc":""},"Lean.Elab.Term.Context.isNoncomputableSection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L200-L200","name":"Lean.Elab.Term.Context.isNoncomputableSection","line":200,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.isNoncomputableSection","doc":"Noncomputable sections automatically add the `noncomputable` modifier to any declaration we cannot generate code for. "},"Lean.Elab.Term.Context.inPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L204-L204","name":"Lean.Elab.Term.Context.inPattern","line":204,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.inPattern","doc":"`true` when elaborating patterns. It affects how we elaborate named holes. "},"Lean.Elab.Term.Context.implicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L198-L198","name":"Lean.Elab.Term.Context.implicitLambda","line":198,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.implicitLambda","doc":"Enable/disable implicit lambdas feature. "},"Lean.Elab.Term.Context.ignoreTCFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L202-L202","name":"Lean.Elab.Term.Context.ignoreTCFailures","line":202,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.ignoreTCFailures","doc":"When `true` we skip TC failures. We use this option when processing patterns. "},"Lean.Elab.Term.Context.holesAsSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L219-L219","name":"Lean.Elab.Term.Context.holesAsSyntheticOpaque","line":219,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.holesAsSyntheticOpaque","doc":"If `holesAsSyntheticOpaque` is `true`, then we mark metavariables associated\nwith `_`s as `synthethicOpaque` if they do not occur in patterns.\nThis option is useful when elaborating terms in tactics such as `refine'` where\nwe want holes there to become new goals. See issue #1681, we have\n`refine' (fun x => _)\n"},"Lean.Elab.Term.Context.errToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L175-L175","name":"Lean.Elab.Term.Context.errToSorry","line":175,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.errToSorry","doc":"When `errToSorry` is set to true, the method `elabTerm` catches\nexceptions and converts them into synthetic `sorry`s.\nThe implementation of choice nodes and overloaded symbols rely on the fact\nthat when `errToSorry` is set to false for an elaboration function `F`, then\n`errToSorry` remains `false` for all elaboration functions invoked by `F`.\nThat is, it is safe to transition `errToSorry` from `true` to `false`, but\nwe must not set `errToSorry` to `true` when it is currently set to `false`. "},"Lean.Elab.Term.Context.declName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L156-L156","name":"Lean.Elab.Term.Context.declName?","line":156,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.declName?","doc":""},"Lean.Elab.Term.Context.auxDeclToFullName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L160-L160","name":"Lean.Elab.Term.Context.auxDeclToFullName","line":160,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.auxDeclToFullName","doc":"Map `.auxDecl` local declarations used to encode recursive declarations to their full-names.\n"},"Lean.Elab.Term.Context.autoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L183-L183","name":"Lean.Elab.Term.Context.autoBoundImplicits","line":183,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicits","doc":""},"Lean.Elab.Term.Context.autoBoundImplicitForbidden":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L192-L192","name":"Lean.Elab.Term.Context.autoBoundImplicitForbidden","line":192,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicitForbidden","doc":"A name `n` is only eligible to be an auto implicit name if `autoBoundImplicitForbidden n = false`.\nWe use this predicate to disallow `f` to be considered an auto implicit name in a definition such\nas\n```\ndef f : f → Bool := fun _ => true\n```\n"},"Lean.Elab.Term.Context.autoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L182-L182","name":"Lean.Elab.Term.Context.autoBoundImplicit","line":182,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicit","doc":"When `autoBoundImplicit` is set to true, instead of producing\nan \"unknown identifier\" error for unbound variables, we generate an\ninternal exception. This exception is caught at `elabBinders` and\n`elabTypeWithUnboldImplicit`. Both methods add implicit declarations\nfor the unbound variable and try again. "},"Lean.Elab.Term.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L155-L219","name":"Lean.Elab.Term.Context","line":155,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context","doc":""},"Lean.Elab.Term.ContainsPendingMVar.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L676-L697","name":"Lean.Elab.Term.ContainsPendingMVar.visit","line":676,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.visit","doc":"See `containsPostponedTerm` "},"Lean.Elab.Term.ContainsPendingMVar.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L673-L673","name":"Lean.Elab.Term.ContainsPendingMVar.M","line":673,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.M","doc":""},"Lean.Elab.Term.CollectPatternVars.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L313-L317","name":"Lean.Elab.Term.CollectPatternVars.main","line":313,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.main","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L45-L45","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedState","line":45,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedState","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L75-L75","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedContext","line":75,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L248-L253","name":"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","line":248,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L265-L269","name":"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","line":265,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L233-L246","name":"Lean.Elab.Term.CollectPatternVars.collect.processId","line":233,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processId","doc":"Check whether `stx` is a pattern variable or constructor-like (i.e., constructor or constant tagged with `[match_pattern]` attribute) "},"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L255-L263","name":"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","line":255,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L291-L311","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","line":291,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L271-L289","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","line":271,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L216-L227","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","line":216,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L229-L230","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtor","line":229,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtor","doc":""},"Lean.Elab.Term.CollectPatternVars.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L122-L311","name":"Lean.Elab.Term.CollectPatternVars.collect","line":122,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect","doc":""},"Lean.Elab.Term.CollectPatternVars.State.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L44-L44","name":"Lean.Elab.Term.CollectPatternVars.State.vars","line":44,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.vars","doc":"Pattern variables found so far as an array. It contains the order they were found. "},"Lean.Elab.Term.CollectPatternVars.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.State.found":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L42-L42","name":"Lean.Elab.Term.CollectPatternVars.State.found","line":42,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.found","doc":"Pattern variables found so far. "},"Lean.Elab.Term.CollectPatternVars.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L40-L45","name":"Lean.Elab.Term.CollectPatternVars.State","line":40,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State","doc":"State for the pattern variable collector monad. "},"Lean.Elab.Term.CollectPatternVars.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L47-L47","name":"Lean.Elab.Term.CollectPatternVars.M","line":47,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.M","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L70-L70","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDecls","line":70,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDecls","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L71-L71","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","line":71,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.newArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L74-L74","name":"Lean.Elab.Term.CollectPatternVars.Context.newArgs","line":74,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.newArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L72-L72","name":"Lean.Elab.Term.CollectPatternVars.Context.namedArgs","line":72,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.namedArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.funId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L66-L66","name":"Lean.Elab.Term.CollectPatternVars.Context.funId","line":66,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.funId","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L68-L68","name":"Lean.Elab.Term.CollectPatternVars.Context.explicit","line":68,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.explicit","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L69-L69","name":"Lean.Elab.Term.CollectPatternVars.Context.ellipsis","line":69,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ellipsis","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L67-L67","name":"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","line":67,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L73-L73","name":"Lean.Elab.Term.CollectPatternVars.Context.args","line":73,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.args","doc":""},"Lean.Elab.Term.CollectPatternVars.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L65-L75","name":"Lean.Elab.Term.CollectPatternVars.Context","line":65,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context","doc":""},"Lean.Elab.Term.BinderView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L57-L57","name":"Lean.Elab.Term.BinderView.type","line":57,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.type","doc":""},"Lean.Elab.Term.BinderView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L55-L55","name":"Lean.Elab.Term.BinderView.ref","line":55,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.ref","doc":"Position 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The fresh identifier\nhas synthetic position since it was not written by the user, and we would not get\nhover information for the `_` because we also don't have this macro expansion step\nstored in the info tree. Thus, we store the original `Syntax` in `ref`, and use\nit when storing the binder information in the info tree.\n\nPotential better solution: add a binder syntax category, an extensible `elabBinder`\n(like we have `elabTerm`), and perform all macro expansion steps at `elabBinder` and\nrecord them in the infro tree.\n"},"Lean.Elab.Term.BinderView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.BinderView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.mk","doc":""},"Lean.Elab.Term.BinderView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L56-L56","name":"Lean.Elab.Term.BinderView.id","line":56,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.id","doc":""},"Lean.Elab.Term.BinderView.bi":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L58-L58","name":"Lean.Elab.Term.BinderView.bi","line":58,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.bi","doc":""},"Lean.Elab.Term.BinderView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L41-L58","name":"Lean.Elab.Term.BinderView","line":41,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView","doc":"Auxiliary datatype for elaborating binders. "},"Lean.Elab.Term.Arg.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L14-L14","name":"Lean.Elab.Term.Arg.stx","line":14,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.stx","doc":""},"Lean.Elab.Term.Arg.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L15-L15","name":"Lean.Elab.Term.Arg.expr","line":15,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.expr","doc":""},"Lean.Elab.Term.Arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L13-L16","name":"Lean.Elab.Term.Arg","line":13,"kind":"inductive","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg","doc":"Auxiliary inductive datatype for combining unelaborated syntax\nand already elaborated expressions. It is used to elaborate applications. "},"Lean.Elab.TacticInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TacticInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mk","doc":""},"Lean.Elab.TacticInfo.mctxBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L81-L81","name":"Lean.Elab.TacticInfo.mctxBefore","line":81,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxBefore","doc":""},"Lean.Elab.TacticInfo.mctxAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L83-L83","name":"Lean.Elab.TacticInfo.mctxAfter","line":83,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxAfter","doc":""},"Lean.Elab.TacticInfo.goalsBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L82-L82","name":"Lean.Elab.TacticInfo.goalsBefore","line":82,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsBefore","doc":""},"Lean.Elab.TacticInfo.goalsAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L84-L84","name":"Lean.Elab.TacticInfo.goalsAfter","line":84,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsAfter","doc":""},"Lean.Elab.TacticInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L132-L137","name":"Lean.Elab.TacticInfo.format","line":132,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TacticInfo.format","doc":""},"Lean.Elab.TacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L80-L85","name":"Lean.Elab.TacticInfo","line":80,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo","doc":"The information needed to render the tactic state in the infoview.\n\nWe store the list of goals before and after the execution of a tactic.\nWe also store the metavariable context at each time since we want metavariables\nunassigned at tactic execution time to be displayed as `?m...`. "},"Lean.Elab.Tactic.withoutRecover":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L255-L256","name":"Lean.Elab.Tactic.withoutRecover","line":255,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withoutRecover","doc":"Execute `x` with error recovery disabled "},"Lean.Elab.Tactic.withTacticInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L125-L126","name":"Lean.Elab.Tactic.withTacticInfoContext","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withTacticInfoContext","doc":""},"Lean.Elab.Tactic.withRWRulesSeq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L48-L50","name":"Lean.Elab.Tactic.withRWRulesSeq.go","line":48,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq.go","doc":""},"Lean.Elab.Tactic.withRWRulesSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L29-L56","name":"Lean.Elab.Tactic.withRWRulesSeq","line":29,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq","doc":""},"Lean.Elab.Tactic.withMainContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L324-L325","name":"Lean.Elab.Tactic.withMainContext","line":324,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMainContext","doc":"Execute `x` using the main goal local context and instances "},"Lean.Elab.Tactic.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L279-L281","name":"Lean.Elab.Tactic.withMacroExpansion","line":279,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Tactic.withLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L45-L63","name":"Lean.Elab.Tactic.withLocation","line":45,"kind":"def","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.withLocation","doc":"Runs the given `atLocal` and `atTarget` methods on each of the locations selected by the given `loc`.\nIf any of the selected tactic applications fail, it will call `failed` with the main goal mvar.\n "},"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L121-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","doc":""},"Lean.Elab.Tactic.withCollectingNewGoalsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L92-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom","doc":"Execute `k`, and collect new \"holes\" in the resulting expression.\n"},"Lean.Elab.Tactic.withCaseRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L417-L418","name":"Lean.Elab.Tactic.withCaseRef","line":417,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withCaseRef","doc":"Use position of `=> $body` for error messages.\nIf there is a line break before `body`, the message will be displayed on `=>` only,\nbut the \"full range\" for the info view will still include `body`. "},"Lean.Elab.Tactic.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Unfold.lean#L16-L17","name":"Lean.Elab.Tactic.unfoldTarget","line":16,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldTarget","doc":""},"Lean.Elab.Tactic.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Unfold.lean#L13-L14","name":"Lean.Elab.Tactic.unfoldLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldLocalDecl","doc":""},"Lean.Elab.Tactic.tryTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L375-L379","name":"Lean.Elab.Tactic.tryTactic?","line":375,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic?","doc":""},"Lean.Elab.Tactic.tryTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L381-L386","name":"Lean.Elab.Tactic.tryTactic","line":381,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic","doc":""},"Lean.Elab.Tactic.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L246-L248","name":"Lean.Elab.Tactic.tryCatch","line":246,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryCatch","doc":""},"Lean.Elab.Tactic.traceSimpCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L252-L285","name":"Lean.Elab.Tactic.traceSimpCall","line":252,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.traceSimpCall","doc":""},"Lean.Elab.Tactic.throwNoGoalsToBeSolved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L204-L205","name":"Lean.Elab.Tactic.throwNoGoalsToBeSolved","line":204,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.throwNoGoalsToBeSolved","doc":""},"Lean.Elab.Tactic.tagUntaggedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L391-L407","name":"Lean.Elab.Tactic.tagUntaggedGoals","line":391,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tagUntaggedGoals","doc":"Use `parentTag` to tag untagged goals at `newGoals`.\nIf there are multiple new untagged goals, they are named using `._` where `idx > 0`.\nIf there is only one new untagged goal, then we just use `parentTag` "},"Lean.Elab.Tactic.tacticToDischarge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L36-L59","name":"Lean.Elab.Tactic.tacticToDischarge","line":36,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tacticToDischarge","doc":"Implement a `simp` discharge function using the given tactic syntax code.\nRecall that `simp` dischargers are in `SimpM` which does not have access to `Term.State`.\nWe need access to `Term.State` to store messages and update the info tree.\nThus, we create an `IO.ref` to track these changes at `Term.State` when we execute `tacticCode`.\nWe must set this reference with the current `Term.State` before we execute `simp` using the\ngenerated `Simp.Discharge`. "},"Lean.Elab.Tactic.tacticElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L108-L108","name":"Lean.Elab.Tactic.tacticElabAttribute","line":108,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tacticElabAttribute","doc":""},"Lean.Elab.Tactic.tactic.simp.trace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L247-L250","name":"Lean.Elab.Tactic.tactic.simp.trace","line":247,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tactic.simp.trace","doc":""},"Lean.Elab.Tactic.tactic.dbg_cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Cache.lean#L26-L30","name":"Lean.Elab.Tactic.tactic.dbg_cache","line":26,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Cache.html#Lean.Elab.Tactic.tactic.dbg_cache","doc":""},"Lean.Elab.Tactic.sortMVarIdsByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L86-L87","name":"Lean.Elab.Tactic.sortMVarIdsByIndex","line":86,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdsByIndex","doc":""},"Lean.Elab.Tactic.sortMVarIdArrayByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L76-L84","name":"Lean.Elab.Tactic.sortMVarIdArrayByIndex","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdArrayByIndex","doc":""},"Lean.Elab.Tactic.simpOnlyBuiltins":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L206-L206","name":"Lean.Elab.Tactic.simpOnlyBuiltins","line":206,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpOnlyBuiltins","doc":""},"Lean.Elab.Tactic.simpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L311-L317","name":"Lean.Elab.Tactic.simpLocation.go","line":311,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation.go","doc":""},"Lean.Elab.Tactic.simpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L301-L317","name":"Lean.Elab.Tactic.simpLocation","line":301,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation","doc":"`simpLocation ctx discharge? varIdToLemmaId loc`\nruns the simplifier at locations specified by `loc`,\nusing the simp theorems collected in `ctx`\noptionally running a discharger specified in `discharge?` on generated subgoals.\n\nIts primary use is as the implementation of the\n`simp [...] at ...` and `simp only [...] at ...` syntaxes,\nbut can also be used by other tactics when a `Syntax` is not available.\n\nFor many tactics other than the simplifier,\none should use the `withLocation` tactic combinator\nwhen working with a `location`.\n"},"Lean.Elab.Tactic.setGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L57-L58","name":"Lean.Elab.Tactic.setGoals","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.setGoals","doc":""},"Lean.Elab.Tactic.saveTacticInfoForToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L273-L275","name":"Lean.Elab.Tactic.saveTacticInfoForToken","line":273,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveTacticInfoForToken","doc":"Save the current tactic state for a token `stx`.\nThis method is a no-op if `stx` has no position information.\nWe use this method to save the tactic state at punctuation such as `;`\n"},"Lean.Elab.Tactic.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L95-L96","name":"Lean.Elab.Tactic.saveState","line":95,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveState","doc":""},"Lean.Elab.Tactic.runTermElab.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L31-L31","name":"Lean.Elab.Tactic.runTermElab.go","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab.go","doc":""},"Lean.Elab.Tactic.runTermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L24-L31","name":"Lean.Elab.Tactic.runTermElab","line":24,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab","doc":"Runs a term elaborator inside a tactic.\n\nThis function ensures that term elaboration fails when backtracking,\ni.e., in `first| tac term | other`.\n"},"Lean.Elab.Tactic.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L75-L93","name":"Lean.Elab.Tactic.run","line":75,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.run","doc":""},"Lean.Elab.Tactic.rewriteTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L14-L19","name":"Lean.Elab.Tactic.rewriteTarget","line":14,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteTarget","doc":""},"Lean.Elab.Tactic.rewriteLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L21-L27","name":"Lean.Elab.Tactic.rewriteLocalDecl","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteLocalDecl","doc":""},"Lean.Elab.Tactic.replaceMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L294-L296","name":"Lean.Elab.Tactic.replaceMainGoal","line":294,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.replaceMainGoal","doc":"Discard the first goal and replace it by the given list of goals,\nkeeping the other goals. "},"Lean.Elab.Tactic.renameInaccessibles":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L335-L366","name":"Lean.Elab.Tactic.renameInaccessibles","line":335,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.renameInaccessibles","doc":""},"Lean.Elab.Tactic.refineCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L152-L161","name":"Lean.Elab.Tactic.refineCore","line":152,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.refineCore","doc":"If `allowNaturalHoles == true`, then we allow the resultant expression to contain unassigned \"natural\" metavariables.\nRecall that \"natutal\" metavariables are created for explicit holes `_` and implicit arguments. They are meant to be\nfilled by typing constraints.\n\"Synthetic\" metavariables are meant to be filled by tactics and are usually created using the synthetic hole notation `?`. "},"Lean.Elab.Tactic.pruneSolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L60-L63","name":"Lean.Elab.Tactic.pruneSolvedGoals","line":60,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.pruneSolvedGoals","doc":""},"Lean.Elab.Tactic.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L258-L259","name":"Lean.Elab.Tactic.orElse","line":258,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.orElse","doc":""},"Lean.Elab.Tactic.mkTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L110-L118","name":"Lean.Elab.Tactic.mkTacticInfo","line":110,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticInfo","doc":""},"Lean.Elab.Tactic.mkTacticAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L105-L106","name":"Lean.Elab.Tactic.mkTacticAttribute","line":105,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticAttribute","doc":""},"Lean.Elab.Tactic.mkSimpContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L218-L245","name":"Lean.Elab.Tactic.mkSimpContext","line":218,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.mkSimpContext","doc":"Create the `Simp.Context` for the `simp`, `dsimp`, and `simp_all` tactics.\nIf `kind != SimpKind.simp`, the `discharge` option must be `none`\n\nTODO: generate error message if non `rfl` theorems are provided as arguments to 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"},"Lean.Elab.Tactic.elabSimpConfigCtxCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L20-L20","name":"Lean.Elab.Tactic.elabSimpConfigCtxCore","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfigCtxCore","doc":""},"Lean.Elab.Tactic.elabSimpConfigCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L19-L19","name":"Lean.Elab.Tactic.elabSimpConfigCore","line":19,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfigCore","doc":""},"Lean.Elab.Tactic.elabSimpConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L85-L89","name":"Lean.Elab.Tactic.elabSimpConfig","line":85,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfig","doc":""},"Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L185-L204","name":"Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?","line":185,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?","doc":""},"Lean.Elab.Tactic.elabSimpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L134-L204","name":"Lean.Elab.Tactic.elabSimpArgs","line":134,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpArgs","doc":"Elaborate extra simp theorems provided to `simp`. `stx` is of the form `\"[\" simpTheorem,* \"]\"`\nIf `eraseLocal == true`, then we consider local declarations when resolving names for erased theorems (`- id`),\nthis option only makes sense for `simp_all` or `*` is used.\n"},"Lean.Elab.Tactic.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L160-L163","name":"Lean.Elab.Tactic.elabSetOption","line":160,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.elabSetOption","doc":""},"Lean.Elab.Tactic.elabRewriteConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L59-L59","name":"Lean.Elab.Tactic.elabRewriteConfig","line":59,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.elabRewriteConfig","doc":""},"Lean.Elab.Tactic.elabDSimpConfigCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L21-L21","name":"Lean.Elab.Tactic.elabDSimpConfigCore","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabDSimpConfigCore","doc":""},"Lean.Elab.Tactic.elabCasesTargets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L568-L588","name":"Lean.Elab.Tactic.elabCasesTargets","line":568,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.elabCasesTargets","doc":""},"Lean.Elab.Tactic.elabAsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L300-L316","name":"Lean.Elab.Tactic.elabAsFVar","line":300,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.elabAsFVar","doc":"Elaborate `stx`. If it a free variable, return it. Otherwise, assert it, and return the free variable.\nNote that, the main goal is updated when `Meta.assert` is used in the second case. "},"Lean.Elab.Tactic.dsimpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L348-L355","name":"Lean.Elab.Tactic.dsimpLocation.go","line":348,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation.go","doc":""},"Lean.Elab.Tactic.dsimpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L338-L355","name":"Lean.Elab.Tactic.dsimpLocation","line":338,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation","doc":""},"Lean.Elab.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L207-L211","name":"Lean.Elab.Tactic.done","line":207,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.done","doc":""},"Lean.Elab.Tactic.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Delta.lean#L21-L27","name":"Lean.Elab.Tactic.deltaTarget","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaTarget","doc":""},"Lean.Elab.Tactic.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Delta.lean#L13-L19","name":"Lean.Elab.Tactic.deltaLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaLocalDecl","doc":""},"Lean.Elab.Tactic.configElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Config.lean#L13-L27","name":"Lean.Elab.Tactic.configElab","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.configElab","doc":""},"Lean.Elab.Tactic.closeUsingOrAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L228-L240","name":"Lean.Elab.Tactic.closeUsingOrAdmit","line":228,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeUsingOrAdmit","doc":"Close the main goal using the given tactic. If it fails, log the error and `admit` "},"Lean.Elab.Tactic.closeMainGoalUsing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L55-L57","name":"Lean.Elab.Tactic.closeMainGoalUsing","line":55,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.closeMainGoalUsing","doc":"Try to close main goal using `x target`, where `target` is the type of the main goal. "},"Lean.Elab.Tactic.closeMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L346-L350","name":"Lean.Elab.Tactic.closeMainGoal","line":346,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeMainGoal","doc":"Close main goal using the given expression. If `checkUnassigned == true`, then `val` must not contain unassigned metavariables. "},"Lean.Elab.Tactic.checkConfigElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Config.lean#L31-L31","name":"Lean.Elab.Tactic.checkConfigElab","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.checkConfigElab","doc":""},"Lean.Elab.Tactic.appendGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L289-L290","name":"Lean.Elab.Tactic.appendGoals","line":289,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.appendGoals","doc":"Add the given goals at the end of the current goals collection. "},"Lean.Elab.Tactic.addCheckpoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L71-L100","name":"Lean.Elab.Tactic.addCheckpoints","line":71,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.addCheckpoints","doc":"Takes a `sepByIndent tactic \"; \"`, and inserts `checkpoint` blocks for `save` tactics.\n\nInput:\n```\n a\n b\n save\n c\n d\n save\n e\n```\n\nOutput:\n```\n checkpoint\n a\n b\n save\n checkpoint\n c\n d\n save\n e\n```\n"},"Lean.Elab.Tactic.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L284-L286","name":"Lean.Elab.Tactic.adaptExpander","line":284,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.adaptExpander","doc":"Adapt a syntax transformation to a regular tactic evaluator. "},"Lean.Elab.Tactic.TacticM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L40-L40","name":"Lean.Elab.Tactic.TacticM","line":40,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.TacticM","doc":""},"Lean.Elab.Tactic.Tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L41-L41","name":"Lean.Elab.Tactic.Tactic","line":41,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Tactic","doc":""},"Lean.Elab.Tactic.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.mk","doc":""},"Lean.Elab.Tactic.State.goals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L119-L119","name":"Lean.Elab.Tactic.State.goals","line":119,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.goals","doc":""},"Lean.Elab.Tactic.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L118-L120","name":"Lean.Elab.Tactic.State","line":118,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State","doc":"State of the `TacticM` monad.\n"},"Lean.Elab.Tactic.Snapshot.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L131-L131","name":"Lean.Elab.Tactic.Snapshot.term","line":131,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.term","doc":""},"Lean.Elab.Tactic.Snapshot.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L132-L132","name":"Lean.Elab.Tactic.Snapshot.tactic","line":132,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.tactic","doc":""},"Lean.Elab.Tactic.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L133-L133","name":"Lean.Elab.Tactic.Snapshot.stx","line":133,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.stx","doc":""},"Lean.Elab.Tactic.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.mk","doc":""},"Lean.Elab.Tactic.Snapshot.meta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L130-L130","name":"Lean.Elab.Tactic.Snapshot.meta","line":130,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.meta","doc":""},"Lean.Elab.Tactic.Snapshot.core":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L129-L129","name":"Lean.Elab.Tactic.Snapshot.core","line":129,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.core","doc":""},"Lean.Elab.Tactic.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L128-L133","name":"Lean.Elab.Tactic.Snapshot","line":128,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot","doc":"Snapshots are used to implement the `save` tactic.\nThis tactic caches the state of the system, and allows us to \"replay\"\nexpensive proofs efficiently. This is only relevant implementing the\nLSP server.\n"},"Lean.Elab.Tactic.SimpKind.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L25-L25","name":"Lean.Elab.Tactic.SimpKind.simpAll","line":25,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simpAll","doc":""},"Lean.Elab.Tactic.SimpKind.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L24-L24","name":"Lean.Elab.Tactic.SimpKind.simp","line":24,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simp","doc":""},"Lean.Elab.Tactic.SimpKind.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L26-L26","name":"Lean.Elab.Tactic.SimpKind.dsimp","line":26,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.dsimp","doc":""},"Lean.Elab.Tactic.SimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L23-L27","name":"Lean.Elab.Tactic.SimpKind","line":23,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.with":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L65-L73","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.with","line":65,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.with","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L62-L62","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.default","line":62,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.default","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.custom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L63-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.custom","line":63,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.custom","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L61-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper","line":61,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper","doc":""},"Lean.Elab.Tactic.SavedState.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L37-L37","name":"Lean.Elab.Tactic.SavedState.term","line":37,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.term","doc":""},"Lean.Elab.Tactic.SavedState.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L38-L38","name":"Lean.Elab.Tactic.SavedState.tactic","line":38,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.tactic","doc":""},"Lean.Elab.Tactic.SavedState.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L98-L100","name":"Lean.Elab.Tactic.SavedState.restore","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.restore","doc":""},"Lean.Elab.Tactic.SavedState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.SavedState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.mk","doc":""},"Lean.Elab.Tactic.SavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L36-L38","name":"Lean.Elab.Tactic.SavedState","line":36,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L125-L125","name":"Lean.Elab.Tactic.ResolveSimpIdResult.none","line":125,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.none","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L127-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult.ext","line":127,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.ext","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L126-L126","name":"Lean.Elab.Tactic.ResolveSimpIdResult.expr","line":126,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.expr","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L124-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult","line":124,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L1-L1","name":"Lean.Elab.Tactic.MkSimpContextResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.mk","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L210-L210","name":"Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper","line":210,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.ctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L209-L209","name":"Lean.Elab.Tactic.MkSimpContextResult.ctx","line":209,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.ctx","doc":""},"Lean.Elab.Tactic.MkSimpContextResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L208-L210","name":"Lean.Elab.Tactic.MkSimpContextResult","line":208,"kind":"structure","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult","doc":""},"Lean.Elab.Tactic.Location.wildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L13-L14","name":"Lean.Elab.Tactic.Location.wildcard","line":13,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.wildcard","doc":"Apply the tactic everywhere. "},"Lean.Elab.Tactic.Location.targets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L15-L17","name":"Lean.Elab.Tactic.Location.targets","line":15,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.targets","doc":"`hypotheses` are hypothesis names in the main goal that the tactic should be applied to.\nIf `type` is true, then the tactic should also be applied to the target type. "},"Lean.Elab.Tactic.Location":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L12-L17","name":"Lean.Elab.Tactic.Location","line":12,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location","doc":"Denotes a set of locations where a tactic should be applied for the main goal. See also `withLocation`. "},"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Congr.lean#L12-L18","name":"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Congr.html#Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L140-L140","name":"Lean.Elab.Tactic.EvalTacticFailure.state","line":140,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.state","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.EvalTacticFailure.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.mk","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L139-L139","name":"Lean.Elab.Tactic.EvalTacticFailure.exception","line":139,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.exception","doc":""},"Lean.Elab.Tactic.EvalTacticFailure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L138-L140","name":"Lean.Elab.Tactic.EvalTacticFailure","line":138,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure","doc":"Auxiliary datastructure for capturing exceptions at `evalTactic`.\n"},"Lean.Elab.Tactic.ElimApp.setMotiveArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L186-L193","name":"Lean.Elab.Tactic.ElimApp.setMotiveArg","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.setMotiveArg","doc":"Given a goal `... targets ... |- C[targets]` associated with `mvarId`, assign\n`motiveArg := fun targets => C[targets]` "},"Lean.Elab.Tactic.ElimApp.reorderAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L251-L262","name":"Lean.Elab.Tactic.ElimApp.reorderAlts","line":251,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.reorderAlts","doc":"If `altsSyntax` is not empty we reorder `alts` using the order the alternatives have been provided\nin `altsSyntax`. Motivations:\n\n1- It improves the effectiveness of the `checkpoint` and `save` tactics. Consider the following example:\n```lean\nexample (h₁ : p ∨ q) (h₂ : p → x = 0) (h₃ : q → y = 0) : x * y = 0 := by\n cases h₁ with\n | inr h =>\n sleep 5000 -- sleeps for 5 seconds\n save\n have : y = 0 := h₃ h\n -- We can confortably work here\n | inl h => stop ...\n```\nIf we do reorder, the `inl` alternative will be executed first. Moreover, as we type in the `inr` alternative,\ntype errors will \"swallow\" the `inl` alternative and affect the tactic state at `save` making it ineffective.\n\n2- The errors are produced in the same order the appear in the code above. This is not super important when using IDEs.\n"},"Lean.Elab.Tactic.ElimApp.mkElimApp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L130-L168","name":"Lean.Elab.Tactic.ElimApp.mkElimApp.loop","line":130,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp.loop","doc":""},"Lean.Elab.Tactic.ElimApp.mkElimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L129-L182","name":"Lean.Elab.Tactic.ElimApp.mkElimApp","line":129,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp","doc":"Construct the an eliminator/recursor application. `targets` contains the explicit and implicit targets for\nthe eliminator. For example, the indices of builtin recursors are considered implicit targets.\nRemark: the method `addImplicitTargets` may be used to compute the sequence of implicit and explicit targets\nfrom the explicit ones.\n"},"Lean.Elab.Tactic.ElimApp.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L89-L89","name":"Lean.Elab.Tactic.ElimApp.instInhabitedAlt","line":89,"kind":"instance","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.instInhabitedAlt","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L278-L355","name":"Lean.Elab.Tactic.ElimApp.evalAlts.go","line":278,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.go","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L356-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","line":356,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L264-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts","line":264,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts","doc":""},"Lean.Elab.Tactic.ElimApp.State.targetPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L97-L97","name":"Lean.Elab.Tactic.ElimApp.State.targetPos","line":97,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.targetPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.mk","doc":""},"Lean.Elab.Tactic.ElimApp.State.insts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L101-L101","name":"Lean.Elab.Tactic.ElimApp.State.insts","line":101,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.insts","doc":""},"Lean.Elab.Tactic.ElimApp.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L99-L99","name":"Lean.Elab.Tactic.ElimApp.State.fType","line":99,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.fType","doc":""},"Lean.Elab.Tactic.ElimApp.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L98-L98","name":"Lean.Elab.Tactic.ElimApp.State.f","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.f","doc":""},"Lean.Elab.Tactic.ElimApp.State.argPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L96-L96","name":"Lean.Elab.Tactic.ElimApp.State.argPos","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.argPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L100-L100","name":"Lean.Elab.Tactic.ElimApp.State.alts","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.alts","doc":""},"Lean.Elab.Tactic.ElimApp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L95-L101","name":"Lean.Elab.Tactic.ElimApp.State","line":95,"kind":"structure","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State","doc":""},"Lean.Elab.Tactic.ElimApp.Result.others":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L121-L121","name":"Lean.Elab.Tactic.ElimApp.Result.others","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.others","doc":""},"Lean.Elab.Tactic.ElimApp.Result.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.Result.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.mk","doc":""},"Lean.Elab.Tactic.ElimApp.Result.elimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tac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`sepByIndent conv \"; \" "},"Lean.Elab.Tactic.Conv.evalRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L100-L102","name":"Lean.Elab.Tactic.Conv.evalRhs","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalRhs","doc":""},"Lean.Elab.Tactic.Conv.evalRewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Rewrite.lean#L13-L20","name":"Lean.Elab.Tactic.Conv.evalRewrite","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Rewrite.html#Lean.Elab.Tactic.Conv.evalRewrite","doc":""},"Lean.Elab.Tactic.Conv.evalReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L92-L94","name":"Lean.Elab.Tactic.Conv.evalReduce","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalReduce","doc":""},"Lean.Elab.Tactic.Conv.evalPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L104-L141","name":"Lean.Elab.Tactic.Conv.evalPattern","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.evalPattern","doc":""},"Lean.Elab.Tactic.Conv.evalParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L130-L131","name":"Lean.Elab.Tactic.Conv.evalParen","line":130,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalParen","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L146-L148","name":"Lean.Elab.Tactic.Conv.evalNestedTacticCore","line":146,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTacticCore","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L150-L156","name":"Lean.Elab.Tactic.Conv.evalNestedTactic","line":150,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTactic","doc":""},"Lean.Elab.Tactic.Conv.evalNestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L119-L120","name":"Lean.Elab.Tactic.Conv.evalNestedConv","line":119,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedConv","doc":""},"Lean.Elab.Tactic.Conv.evalLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L96-L98","name":"Lean.Elab.Tactic.Conv.evalLhs","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalLhs","doc":""},"Lean.Elab.Tactic.Conv.evalFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L186-L187","name":"Lean.Elab.Tactic.Conv.evalFirst","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalFirst","doc":""},"Lean.Elab.Tactic.Conv.evalExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L177-L183","name":"Lean.Elab.Tactic.Conv.evalExt","line":177,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalExt","doc":""},"Lean.Elab.Tactic.Conv.evalDelta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Delta.lean#L12-L15","name":"Lean.Elab.Tactic.Conv.evalDelta","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Delta.html#Lean.Elab.Tactic.Conv.evalDelta","doc":""},"Lean.Elab.Tactic.Conv.evalDSimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Simp.lean#L28-L30","name":"Lean.Elab.Tactic.Conv.evalDSimp","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.evalDSimp","doc":""},"Lean.Elab.Tactic.Conv.evalConvTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L158-L159","name":"Lean.Elab.Tactic.Conv.evalConvTactic","line":158,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvTactic","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L111-L117","name":"Lean.Elab.Tactic.Conv.evalConvSeqBracketed","line":111,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeqBracketed","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L108-L109","name":"Lean.Elab.Tactic.Conv.evalConvSeq1Indented","line":108,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq1Indented","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L122-L123","name":"Lean.Elab.Tactic.Conv.evalConvSeq","line":122,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConvConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L125-L128","name":"Lean.Elab.Tactic.Conv.evalConvConvSeq","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L173-L184","name":"Lean.Elab.Tactic.Conv.evalConv","line":173,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConv","doc":""},"Lean.Elab.Tactic.Conv.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L74-L75","name":"Lean.Elab.Tactic.Conv.evalCongr","line":74,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalCongr","doc":""},"Lean.Elab.Tactic.Conv.evalChange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Change.lean#L12-L22","name":"Lean.Elab.Tactic.Conv.evalChange","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Change.html#Lean.Elab.Tactic.Conv.evalChange","doc":""},"Lean.Elab.Tactic.Conv.evalArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L104-L113","name":"Lean.Elab.Tactic.Conv.evalArg","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalArg","doc":""},"Lean.Elab.Tactic.Conv.convert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L44-L58","name":"Lean.Elab.Tactic.Conv.convert","line":44,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.convert","doc":"Given `lhs`, runs the `conv` tactic with the goal `⊢ lhs = ?rhs`.\n`conv` should produce no remaining goals that are not solvable with refl.\nReturns a pair of instantiated expressions `(?rhs, ?p)` where `?p : lhs = ?rhs`. "},"Lean.Elab.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L25-L72","name":"Lean.Elab.Tactic.Conv.congr","line":25,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.congr","doc":""},"Lean.Elab.Tactic.Conv.changeLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L83-L86","name":"Lean.Elab.Tactic.Conv.changeLhs","line":83,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.changeLhs","doc":"Replace `lhs` with the definitionally equal `lhs'`. "},"Lean.Elab.Tactic.Conv.applySimpResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Simp.lean#L13-L17","name":"Lean.Elab.Tactic.Conv.applySimpResult","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.applySimpResult","doc":""},"Lean.Elab.Tactic.Conv.PatternMatchState.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L68-L70","name":"Lean.Elab.Tactic.Conv.PatternMatchState.skip","line":68,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.skip","doc":"Assuming `isReady` returned false, this advances to the next match. "},"Lean.Elab.Tactic.Conv.PatternMatchState.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L43-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState.occs","line":43,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.occs","doc":"The state corresponding to a partially consumed `(occs := a₁ a₂ ...)` pattern.\n* `subgoals` is the list of subgoals for patterns already matched,\n along with their index in the original occs list\n* `idx` is the number of matches that have occurred so far\n* `remaining` is a list of `(i, orig)` pairs representing matches we have not yet reached.\n We maintain the invariant that `idx :: remaining.map (·.1)` is sorted.\n The number `i` is the value in the `occs` list and `orig` is its index in the list.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.isReady":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L62-L65","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isReady","line":62,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isReady","doc":"Is this pattern interested in accepting the next match? "},"Lean.Elab.Tactic.Conv.PatternMatchState.isDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L57-L59","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isDone","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isDone","doc":"Is this pattern no longer interested in accepting matches? "},"Lean.Elab.Tactic.Conv.PatternMatchState.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L37-L42","name":"Lean.Elab.Tactic.Conv.PatternMatchState.all","line":37,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.all","doc":"The state corresponding to a `(occs := *)` pattern, which acts like `occs := 1 2 ... n` where\n`n` is the total number of pattern matches.\n* `subgoals` is the list of subgoals for patterns already matched\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.accept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L76-L79","name":"Lean.Elab.Tactic.Conv.PatternMatchState.accept","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.accept","doc":"Assuming `isReady` returned true, this adds the generated subgoal to the list\nand advances to the next match.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L36-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState","line":36,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState","doc":""},"Lean.Elab.Tactic.Context.recover":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L34-L34","name":"Lean.Elab.Tactic.Context.recover","line":34,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.recover","doc":"If `true`, enable \"error recovery\" in some tactics. For example, `cases` tactic\nadmits unsolved alternatives when `recover == true`. The combinator `withoutRecover ` disables\n\"error recovery\" while executing ``. This is useful for tactics such as `first | ... | ...`.\n"},"Lean.Elab.Tactic.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.mk","doc":""},"Lean.Elab.Tactic.Context.elaborator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L28-L28","name":"Lean.Elab.Tactic.Context.elaborator","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.elaborator","doc":"Declaration name of the executing elaborator, used by `mkTacticInfo` to persist it in the info tree "},"Lean.Elab.Tactic.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L26-L34","name":"Lean.Elab.Tactic.Context","line":26,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context","doc":""},"Lean.Elab.Tactic.CacheKey.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L140-L140","name":"Lean.Elab.Tactic.CacheKey.pos","line":140,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.pos","doc":""},"Lean.Elab.Tactic.CacheKey.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L139-L139","name":"Lean.Elab.Tactic.CacheKey.mvarId","line":139,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mvarId","doc":""},"Lean.Elab.Tactic.CacheKey.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.CacheKey.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mk","doc":""},"Lean.Elab.Tactic.CacheKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L138-L141","name":"Lean.Elab.Tactic.CacheKey","line":138,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey","doc":"Key for the cache used to implement the `save` tactic.\n"},"Lean.Elab.Tactic.Cache.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L147-L147","name":"Lean.Elab.Tactic.Cache.pre","line":147,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.pre","doc":""},"Lean.Elab.Tactic.Cache.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L148-L148","name":"Lean.Elab.Tactic.Cache.post","line":148,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.post","doc":""},"Lean.Elab.Tactic.Cache.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Cache.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.mk","doc":""},"Lean.Elab.Tactic.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L146-L149","name":"Lean.Elab.Tactic.Cache","line":146,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache","doc":"Cache for the `save` tactic.\n"},"Lean.Elab.Structural.structuralRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Main.lean#L80-L100","name":"Lean.Elab.Structural.structuralRecursion","line":80,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Main.html#Lean.Elab.Structural.structuralRecursion","doc":""},"Lean.Elab.Structural.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L49-L50","name":"Lean.Elab.Structural.run","line":49,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.run","doc":""},"Lean.Elab.Structural.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L82-L83","name":"Lean.Elab.Structural.registerEqnsInfo","line":82,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.registerEqnsInfo","doc":""},"Lean.Elab.Structural.refinedArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L90-L98","name":"Lean.Elab.Structural.refinedArgType","line":90,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.refinedArgType","doc":"This method is used after `matcherApp.addArg arg` to check whether the new type of `arg` has been \"refined/modified\"\nin at least one alternative.\n"},"Lean.Elab.Structural.recArgHasLooseBVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L61-L64","name":"Lean.Elab.Structural.recArgHasLooseBVarsAt","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.recArgHasLooseBVarsAt","doc":"Return true iff `e` contains an application `recFnName .. t ..` where the term `t` is\nthe argument we are trying to recurse on, and it contains loose bound variables.\n\nWe use this test to decide whether we should process a matcher-application as a regular\napplicaton or not. That is, whether we should push the `below` argument should be affected by the matcher or not.\nIf `e` does not contain an application of the form `recFnName .. t ..`, then we know\nthe recursion doesn't depend on any pattern variable in this matcher.\n"},"Lean.Elab.Structural.preprocess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Preprocess.lean#L27-L33","name":"Lean.Elab.Structural.preprocess","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Preprocess.html#Lean.Elab.Structural.preprocess","doc":"Beta reduce terms where the recursive function occurs in the lambda term.\nThis is useful to improve the effectiveness of `elimRecursion`.\nExample:\n```\ndef f : Nat → Nat\n | 0 => 1\n | i+1 => (fun x => f x) i\n```\n"},"Lean.Elab.Structural.mkIndPredBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/IndPred.lean#L64-L97","name":"Lean.Elab.Structural.mkIndPredBRecOn","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/IndPred.html#Lean.Elab.Structural.mkIndPredBRecOn","doc":""},"Lean.Elab.Structural.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L58-L78","name":"Lean.Elab.Structural.mkEqns","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.mkEqns","doc":""},"Lean.Elab.Structural.mkBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L199-L239","name":"Lean.Elab.Structural.mkBRecOn","line":199,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.mkBRecOn","doc":""},"Lean.Elab.Structural.instInhabitedM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L46-L47","name":"Lean.Elab.Structural.instInhabitedM","line":46,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.instInhabitedM","doc":""},"Lean.Elab.Structural.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L22-L22","name":"Lean.Elab.Structural.instInhabitedEqnInfo","line":22,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.instInhabitedEqnInfo","doc":""},"Lean.Elab.Structural.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L91-L93","name":"Lean.Elab.Structural.getUnfoldFor?","line":91,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getUnfoldFor?","doc":""},"Lean.Elab.Structural.getStructuralRecArgPosImp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L96-L98","name":"Lean.Elab.Structural.getStructuralRecArgPosImp?","line":96,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getStructuralRecArgPosImp?","doc":""},"Lean.Elab.Structural.getEqnsFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L85-L89","name":"Lean.Elab.Structural.getEqnsFor?","line":85,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getEqnsFor?","doc":""},"Lean.Elab.Structural.findRecArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L74-L137","name":"Lean.Elab.Structural.findRecArg.go","line":74,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg.go","doc":""},"Lean.Elab.Structural.findRecArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L58-L139","name":"Lean.Elab.Structural.findRecArg","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg","doc":"Try to find an argument that is structurally smaller in every recursive application.\nWe use this argument to justify termination using the auxiliary `brecOn` construction.\n\nWe give preference for arguments that are *not* indices of inductive types of other arguments.\nSee issue #837 for an example where we can show termination using the index of an inductive family, but\nwe don't get the desired definitional equalities.\n\nWe perform two passes. In the first-pass, we only consider arguments that are not indices.\nIn the second pass, we consider them.\n\nTODO: explore whether there are better solutions, and whether there are other ways to break the heuristic used\nfor creating the smart unfolding auxiliary definition.\n"},"Lean.Elab.Structural.eqnInfoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L80-L80","name":"Lean.Elab.Structural.eqnInfoExt","line":80,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.eqnInfoExt","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L29-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","doc":"Auxiliary method for annotating `match`-alternatives with `markSmartUnfoldingMatch` and `markSmartUnfoldingMatchAlt`.\n\nIt uses the following approach:\n- Whenever it finds a `match` application `e` s.t. `recArgHasLooseBVarsAt preDef.declName recArgPos e`,\n it marks the `match` with `markSmartUnfoldingMatch`, and each alternative that does not contain a nested marked `match`\n is marked with `markSmartUnfoldingMatchAlt`.\n\nRecall that the condition `recArgHasLooseBVarsAt preDef.declName recArgPos e` is the one used at `mkBRecOn`.\n"},"Lean.Elab.Structural.addSmartUnfoldingDefAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L12-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux","line":12,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L64-L70","name":"Lean.Elab.Structural.addSmartUnfoldingDef","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDef","doc":""},"Lean.Elab.Structural.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.mk","doc":""},"Lean.Elab.Structural.State.addMatchers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L42-L42","name":"Lean.Elab.Structural.State.addMatchers","line":42,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.addMatchers","doc":"As part of the inductive predicates case, we keep adding more and more discriminants from the\nlocal context and build up a bigger matcher application until we reach a fixed point.\nAs a side-effect, this creates matchers. Here we capture all these side-effects, because\nthe construction rolls back any changes done to the environment and the side-effects\nneed to be replayed. "},"Lean.Elab.Structural.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L36-L42","name":"Lean.Elab.Structural.State","line":36,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State","doc":""},"Lean.Elab.Structural.RecArgInfo.ys":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L15-L15","name":"Lean.Elab.Structural.RecArgInfo.ys","line":15,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.ys","doc":"recursion arguments "},"Lean.Elab.Structural.RecArgInfo.reflexive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L29-L29","name":"Lean.Elab.Structural.RecArgInfo.reflexive","line":29,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.reflexive","doc":"true if we are recursing over a reflexive inductive datatype "},"Lean.Elab.Structural.RecArgInfo.recArgPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L33-L34","name":"Lean.Elab.Structural.RecArgInfo.recArgPos","line":33,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.recArgPos","doc":""},"Lean.Elab.Structural.RecArgInfo.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L17-L17","name":"Lean.Elab.Structural.RecArgInfo.pos","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.pos","doc":"position in `ys` of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.RecArgInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.mk","doc":""},"Lean.Elab.Structural.RecArgInfo.indicesPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L19-L19","name":"Lean.Elab.Structural.RecArgInfo.indicesPos","line":19,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indicesPos","doc":"position in `ys` of the inductive datatype indices we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L31-L31","name":"Lean.Elab.Structural.RecArgInfo.indPred","line":31,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indPred","doc":"true if the type is an inductive predicate "},"Lean.Elab.Structural.RecArgInfo.indParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L25-L25","name":"Lean.Elab.Structural.RecArgInfo.indParams","line":25,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indParams","doc":"inductive datatype parameters of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L21-L21","name":"Lean.Elab.Structural.RecArgInfo.indName","line":21,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indName","doc":"inductive datatype name of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L23-L23","name":"Lean.Elab.Structural.RecArgInfo.indLevels","line":23,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indLevels","doc":"inductive datatype universe levels of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L27-L27","name":"Lean.Elab.Structural.RecArgInfo.indIndices","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indIndices","doc":"inductive datatype indices of the argument we are recursing on, it is equal to `indicesPos.map fun i => ys.get! i` "},"Lean.Elab.Structural.RecArgInfo.fixedParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L13-L13","name":"Lean.Elab.Structural.RecArgInfo.fixedParams","line":13,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.fixedParams","doc":"`fixedParams ++ ys` are the arguments of the function we are trying to justify termination using structural recursion. 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It should not be used in user widgets.\n"},"Lean.Elab.InfoTree.visitM.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L44-L51","name":"Lean.Elab.InfoTree.visitM.go","line":44,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM.go","doc":""},"Lean.Elab.InfoTree.visitM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L54-L57","name":"Lean.Elab.InfoTree.visitM'","line":54,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM'","doc":"`InfoTree.visitM` specialized to `Unit` return type "},"Lean.Elab.InfoTree.visitM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L39-L51","name":"Lean.Elab.InfoTree.visitM","line":39,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM","doc":"Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back up. "},"Lean.Elab.InfoTree.termGoalAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L363-L365","name":"Lean.Elab.InfoTree.termGoalAt?","line":363,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.termGoalAt?","doc":""},"Lean.Elab.InfoTree.substitute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L56-L62","name":"Lean.Elab.InfoTree.substitute","line":56,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.substitute","doc":"Instantiate the holes on the given `tree` with the assignment table.\n(analoguous to instantiating the metavariables in an expression) "},"Lean.Elab.InfoTree.smallestInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L155-L162","name":"Lean.Elab.InfoTree.smallestInfo?","line":155,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.smallestInfo?","doc":""},"Lean.Elab.InfoTree.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L172-L173","name":"Lean.Elab.InfoTree.node","line":172,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.node","doc":"The children contain information for nested term elaboration and tactic evaluation "},"Lean.Elab.InfoTree.hoverableInfoAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L165-L208","name":"Lean.Elab.InfoTree.hoverableInfoAt?","line":165,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hoverableInfoAt?","doc":"Find an info node, if any, which should be shown on hover/cursor at position `hoverPos`. "},"Lean.Elab.InfoTree.hole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L174-L175","name":"Lean.Elab.InfoTree.hole","line":174,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.hole","doc":"The elaborator creates holes (aka metavariables) for tactics and postponed terms "},"Lean.Elab.InfoTree.hasSorry.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L369-L379","name":"Lean.Elab.InfoTree.hasSorry.go","line":369,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry.go","doc":""},"Lean.Elab.InfoTree.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L367-L379","name":"Lean.Elab.InfoTree.hasSorry","line":367,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry","doc":""},"Lean.Elab.InfoTree.goalsAt?.isEmptyBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L358-L360","name":"Lean.Elab.InfoTree.goalsAt?.isEmptyBy","line":358,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.isEmptyBy","doc":""},"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L345-L357","name":"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","line":345,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","doc":""},"Lean.Elab.InfoTree.goalsAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L319-L360","name":"Lean.Elab.InfoTree.goalsAt?","line":319,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?","doc":"Try to retrieve `TacticInfo` for `hoverPos`.\nWe retrieve all `TacticInfo` nodes s.t. `hoverPos` is inside the node's range plus trailing whitespace.\nWe usually prefer the innermost such nodes so that for composite tactics such as `induction`, we show the nested proofs' states.\nHowever, if `hoverPos` is after the tactic, we prefer nodes that are not indented relative to it, meaning that e.g. at `|` in\n```lean\nhave := by\n exact foo\n|\n```\nwe show the (final, see below) state of `have`, not `exact`.\n\nMoreover, we instruct the LSP server to use the state after tactic execution if\n- the hover position is after the info's start position *and*\n- there is no nested tactic info after the hover position (tactic combinators should decide for themselves\n where to show intermediate states by calling `withTacticInfoContext`) "},"Lean.Elab.InfoTree.getCompletionInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L96-L100","name":"Lean.Elab.InfoTree.getCompletionInfos","line":96,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.getCompletionInfos","doc":""},"Lean.Elab.InfoTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L197-L209","name":"Lean.Elab.InfoTree.format","line":197,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.format","doc":""},"Lean.Elab.InfoTree.foldInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L79-L86","name":"Lean.Elab.InfoTree.foldInfo.go","line":79,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo.go","doc":""},"Lean.Elab.InfoTree.foldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L77-L86","name":"Lean.Elab.InfoTree.foldInfo","line":77,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo","doc":""},"Lean.Elab.InfoTree.findInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L44-L52","name":"Lean.Elab.InfoTree.findInfo?","line":44,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.findInfo?","doc":""},"Lean.Elab.InfoTree.deepestNodes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L68-L75","name":"Lean.Elab.InfoTree.deepestNodes","line":68,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.deepestNodes","doc":"For every branch of the `InfoTree`, find the deepest node in that branch for which `p` returns\n`some _` and return the union of all such nodes. The visitor `p` is given a node together with\nits innermost surrounding `ContextInfo`. "},"Lean.Elab.InfoTree.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L170-L171","name":"Lean.Elab.InfoTree.context","line":170,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.context","doc":"The context object is created by `liftTermElabM` at `Command.lean` "},"Lean.Elab.InfoTree.collectNodesBottomUp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L61-L62","name":"Lean.Elab.InfoTree.collectNodesBottomUp","line":61,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.collectNodesBottomUp","doc":"Visit nodes bottom-up, passing in a surrounding context (the innermost one) and the union of nested results (empty at leaves). "},"Lean.Elab.InfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L169-L176","name":"Lean.Elab.InfoTree","line":169,"kind":"inductive","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree","doc":"The InfoTree is a structure that is generated during elaboration and used\nby the language server to look up information about objects at particular points\nin the Lean document. For example, tactic information and expected type information in\nthe infoview and information about completions.\n\nThe infotree consists of nodes which may have child nodes. Each node\nhas an `Info` object that contains details about what kind of information\nis present. Each `Info` object also contains a `Syntax` instance, this is used to\nmap positions in the Lean document to particular info objects.\n\nAn example of a function that extracts information from an infotree for a given\nposition is `InfoTree.goalsAt?` which finds `TacticInfo`.\n\nInformation concerning expressions requires that a context also be saved.\n`context` nodes store a local context that is used to process expressions\nin nodes below.\n\nBecause the info tree is generated during elaboration, some parts of the infotree\nfor a particular piece of syntax may not be ready yet. Hence InfoTree supports metavariable-like\n`hole`s which are filled in later in the same way that unassigned metavariables are.\n"},"Lean.Elab.InfoState.trees":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L194-L194","name":"Lean.Elab.InfoState.trees","line":194,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.trees","doc":"Pending child trees of a node. "},"Lean.Elab.InfoState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.InfoState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.mk","doc":""},"Lean.Elab.InfoState.enabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L190-L190","name":"Lean.Elab.InfoState.enabled","line":190,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.enabled","doc":"Whether info trees should be recorded. "},"Lean.Elab.InfoState.assignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L192-L192","name":"Lean.Elab.InfoState.assignment","line":192,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.assignment","doc":"Map from holes in the infotree to child infotrees. "},"Lean.Elab.InfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L188-L195","name":"Lean.Elab.InfoState","line":188,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState","doc":"This structure is the state that is being used to build an InfoTree object.\nDuring elaboration, some parts of the info tree may be `holes` which need to be filled later.\nThe `assignments` field is used to assign these holes.\nThe `trees` field is a list of pending child trees for the infotree node currently being built.\n\nYou should not need to use `InfoState` directly, instead infotrees should be built with the help of the methods here\nsuch as `pushInfoLeaf` to create leaf nodes and `withInfoContext` to create a nested child node.\n\nTo see how `trees` is used, look at the function body of `withInfoContext'`.\n"},"Lean.Elab.Info.updateContext?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L193-L195","name":"Lean.Elab.Info.updateContext?","line":193,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.updateContext?","doc":"Helper function for propagating the tactic metavariable context to its children nodes.\nWe need this function because we preserve `TacticInfo` nodes during backtracking *and* their\nchildren. Moreover, we backtrack the metavariable context to undo metavariable assignments.\n`TacticInfo` nodes save the metavariable context before/after the tactic application, and\ncan be pretty printed without any extra information. This is not the case for `TermInfo` nodes.\nWithout this function, the formatting method would often fail when processing `TermInfo` nodes\nthat are children of `TacticInfo` nodes that have been preserved during backtracking.\nSaving the metavariable context at `TermInfo` nodes is also not a good option because\nat `TermInfo` creation time, the metavariable context often miss information, e.g.,\na TC problem has not been resolved, a postponed subterm has not been elaborated, etc.\n\nSee `Term.SavedState.restore`.\n"},"Lean.Elab.Info.type?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L210-L214","name":"Lean.Elab.Info.type?","line":210,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.type?","doc":""},"Lean.Elab.Info.toElabInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L166-L177","name":"Lean.Elab.Info.toElabInfo?","line":166,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.toElabInfo?","doc":""},"Lean.Elab.Info.tailPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L123-L124","name":"Lean.Elab.Info.tailPos?","line":123,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.tailPos?","doc":""},"Lean.Elab.Info.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L102-L113","name":"Lean.Elab.Info.stx","line":102,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.stx","doc":""},"Lean.Elab.Info.size?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L132-L135","name":"Lean.Elab.Info.size?","line":132,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.size?","doc":""},"Lean.Elab.Info.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L126-L127","name":"Lean.Elab.Info.range?","line":126,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.range?","doc":""},"Lean.Elab.Info.pos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L120-L121","name":"Lean.Elab.Info.pos?","line":120,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.pos?","doc":""},"Lean.Elab.Info.ofUserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L142-L142","name":"Lean.Elab.Info.ofUserWidgetInfo","line":142,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofUserWidgetInfo","doc":""},"Lean.Elab.Info.ofTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L136-L136","name":"Lean.Elab.Info.ofTermInfo","line":136,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTermInfo","doc":""},"Lean.Elab.Info.ofTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L135-L135","name":"Lean.Elab.Info.ofTacticInfo","line":135,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTacticInfo","doc":""},"Lean.Elab.Info.ofOptionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L139-L139","name":"Lean.Elab.Info.ofOptionInfo","line":139,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofOptionInfo","doc":""},"Lean.Elab.Info.ofMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L138-L138","name":"Lean.Elab.Info.ofMacroExpansionInfo","line":138,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofMacroExpansionInfo","doc":""},"Lean.Elab.Info.ofFieldRedeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L145-L145","name":"Lean.Elab.Info.ofFieldRedeclInfo","line":145,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldRedeclInfo","doc":""},"Lean.Elab.Info.ofFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L140-L140","name":"Lean.Elab.Info.ofFieldInfo","line":140,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldInfo","doc":""},"Lean.Elab.Info.ofFVarAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L144-L144","name":"Lean.Elab.Info.ofFVarAliasInfo","line":144,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFVarAliasInfo","doc":""},"Lean.Elab.Info.ofCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L143-L143","name":"Lean.Elab.Info.ofCustomInfo","line":143,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofCustomInfo","doc":""},"Lean.Elab.Info.ofCompletionInfo"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"},"Lean.Elab.Command.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L438-L455","name":"Lean.Elab.Command.runTermElabM","line":438,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runTermElabM","doc":"Execute the monadic action `elabFn xs` as a `CommandElabM` monadic action, where `xs` are free variables\ncorresponding to all active scoped variables declared using the `variable` command.\n\nThis method is similar to `liftTermElabM`, but it elaborates all scoped variables declared using the `variable`\ncommand.\n\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\nvariable {α : Type u} {f : α → α}\nvariable (n : Nat)\n\n#eval\n runTermElabM fun xs => do\n for x in xs do\n IO.println s!\"{← ppExpr x} : {← ppExpr (← inferType x)}\"\n```\n"},"Lean.Elab.Command.runLinters":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L201-L214","name":"Lean.Elab.Command.runLinters","line":201,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runLinters","doc":""},"Lean.Elab.Command.resolveSyntaxKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L348-L351","name":"Lean.Elab.Command.resolveSyntaxKind","line":348,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.resolveSyntaxKind","doc":""},"Lean.Elab.Command.removeParenthesesAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L55-L60","name":"Lean.Elab.Command.removeParenthesesAux","line":55,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParenthesesAux","doc":""},"Lean.Elab.Command.removeParentheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L62-L68","name":"Lean.Elab.Command.removeParentheses","line":62,"kind":"opaque","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParentheses","doc":""},"Lean.Elab.Command.modifyScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L466-L471","name":"Lean.Elab.Command.modifyScope","line":466,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.modifyScope","doc":""},"Lean.Elab.Command.mkUnexpander.flattenApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L120-L124","name":"Lean.Elab.Command.mkUnexpander.flattenApp","line":120,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander.flattenApp","doc":""},"Lean.Elab.Command.mkUnexpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L86-L124","name":"Lean.Elab.Command.mkUnexpander","line":86,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander","doc":"Try to derive an unexpander from a notation.\nThe notation must be of the form `notation ... => c body`\nwhere `c` is a declaration in the current scope and `body` any syntax\nthat contains each variable from the LHS at most once. 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id.\n"},"Lean.Compiler.LCNF.replaceFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L470-L471","name":"Lean.Compiler.LCNF.replaceFVars","line":470,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceFVars","doc":""},"Lean.Compiler.LCNF.replaceExprFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L467-L468","name":"Lean.Compiler.LCNF.replaceExprFVars","line":467,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceExprFVars","doc":""},"Lean.Compiler.LCNF.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L73-L74","name":"Lean.Compiler.LCNF.reduceJpArity","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.reduceJpArity","doc":""},"Lean.Compiler.LCNF.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L180-L184","name":"Lean.Compiler.LCNF.reduceArity","line":180,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.reduceArity","doc":""},"Lean.Compiler.LCNF.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L111-L112","name":"Lean.Compiler.LCNF.pullInstances","line":111,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.pullInstances","doc":""},"Lean.Compiler.LCNF.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L178-L179","name":"Lean.Compiler.LCNF.pullFunDecls","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.pullFunDecls","doc":""},"Lean.Compiler.LCNF.ppLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L118-L119","name":"Lean.Compiler.LCNF.ppLetValue","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppLetValue","doc":""},"Lean.Compiler.LCNF.ppFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L125-L127","name":"Lean.Compiler.LCNF.ppFunDecl","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppFunDecl","doc":""},"Lean.Compiler.LCNF.ppDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L145-L147","name":"Lean.Compiler.LCNF.ppDecl'","line":145,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl'","doc":"Similar to `ppDecl`, but in `CoreM`, and it does not assume\n`decl` has already been internalized.\nThis function is used for debugging purposes.\n"},"Lean.Compiler.LCNF.ppDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L121-L123","name":"Lean.Compiler.LCNF.ppDecl","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl","doc":""},"Lean.Compiler.LCNF.ppCode'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L153-L155","name":"Lean.Compiler.LCNF.ppCode'","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode'","doc":"Similar to `ppCode`, but in `CoreM`, and it does not assume\n`code` has already been internalized.\n"},"Lean.Compiler.LCNF.ppCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L115-L116","name":"Lean.Compiler.LCNF.ppCode","line":115,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode","doc":""},"Lean.Compiler.LCNF.passManagerExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Passes.lean#L90-L96","name":"Lean.Compiler.LCNF.passManagerExt","line":90,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Passes.html#Lean.Compiler.LCNF.passManagerExt","doc":""},"Lean.Compiler.LCNF.normalizeFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L122-L128","name":"Lean.Compiler.LCNF.normalizeFVarIds","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.normalizeFVarIds","doc":""},"Lean.Compiler.LCNF.normParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L416-L417","name":"Lean.Compiler.LCNF.normParams","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParams","doc":""},"Lean.Compiler.LCNF.normParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L413-L414","name":"Lean.Compiler.LCNF.normParam","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParam","doc":""},"Lean.Compiler.LCNF.normLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Level.lean#L83-L85","name":"Lean.Compiler.LCNF.normLevelParams","line":83,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.normLevelParams","doc":"Normalize universe level parameter names in the given expression.\nThe function also returns the list of universe level parameter names that have been normalized.\n"},"Lean.Compiler.LCNF.normLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L318-L319","name":"Lean.Compiler.LCNF.normLetValue","line":318,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetValue","doc":"Replace the free variables in `e` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.normLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L419-L420","name":"Lean.Compiler.LCNF.normLetDecl","line":419,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetDecl","doc":""},"Lean.Compiler.LCNF.normFunDeclImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L437-L441","name":"Lean.Compiler.LCNF.normFunDeclImp","line":437,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDeclImp","doc":""},"Lean.Compiler.LCNF.normFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L460-L461","name":"Lean.Compiler.LCNF.normFunDecl","line":460,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDecl","doc":""},"Lean.Compiler.LCNF.normFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L309-L310","name":"Lean.Compiler.LCNF.normFVar","line":309,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFVar","doc":"Normalize the given free variable.\nSee `normExprImp` for documentation on the `translator` parameter.\nThis function is meant to be used in contexts where the input free-variable is computationally relevant.\nThis function panics if the substitution is mapping `fvarId` to an expression that is not another free variable.\nThat is, it is not a type (or type former), nor `lcErased`. Recall that a valid `FVarSubst` contains only\nexpressions that are free variables, `lcErased`, or type formers.\n"},"Lean.Compiler.LCNF.normExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L322-L323","name":"Lean.Compiler.LCNF.normExprCore","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExprCore","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L312-L313","name":"Lean.Compiler.LCNF.normExpr","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExpr","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normCodeImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L443-L457","name":"Lean.Compiler.LCNF.normCodeImp","line":443,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCodeImp","doc":""},"Lean.Compiler.LCNF.normCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L464-L465","name":"Lean.Compiler.LCNF.normCode","line":464,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCode","doc":"Similar to `internalize`, but does not refresh `FVarId`s. "},"Lean.Compiler.LCNF.normArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L328-L329","name":"Lean.Compiler.LCNF.normArgs","line":328,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArgs","doc":"Normalize the given arguments using the current substitution.\n"},"Lean.Compiler.LCNF.normArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L315-L316","name":"Lean.Compiler.LCNF.normArg","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArg","doc":"Replace the free variables in `arg` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.monoTypeExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonoTypes.lean#L120-L121","name":"Lean.Compiler.LCNF.monoTypeExt","line":120,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/MonoTypes.html#Lean.Compiler.LCNF.monoTypeExt","doc":""},"Lean.Compiler.LCNF.monoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L37-L37","name":"Lean.Compiler.LCNF.monoExt","line":37,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.monoExt","doc":""},"Lean.Compiler.LCNF.modifyLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L119-L120","name":"Lean.Compiler.LCNF.modifyLCtx","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.modifyLCtx","doc":""},"Lean.Compiler.LCNF.mkReturnErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L370-L372","name":"Lean.Compiler.LCNF.mkReturnErased","line":370,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkReturnErased","doc":""},"Lean.Compiler.LCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L346-L351","name":"Lean.Compiler.LCNF.mkParam","line":346,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkParam","doc":""},"Lean.Compiler.LCNF.mkNewParams.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L82-L94","name":"Lean.Compiler.LCNF.mkNewParams.go","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams.go","doc":""},"Lean.Compiler.LCNF.mkNewParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L79-L94","name":"Lean.Compiler.LCNF.mkNewParams","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams","doc":"Create new parameters for the given arrow type.\nExample: if `type` is `Nat → Bool → Int`, the result is\nan array containing two new parameters with types `Nat` and `Bool`.\n"},"Lean.Compiler.LCNF.mkLetDeclErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L367-L368","name":"Lean.Compiler.LCNF.mkLetDeclErased","line":367,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDeclErased","doc":""},"Lean.Compiler.LCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L353-L358","name":"Lean.Compiler.LCNF.mkLetDecl","line":353,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.mkFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L360-L365","name":"Lean.Compiler.LCNF.mkFunDecl","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFunDecl","doc":""},"Lean.Compiler.LCNF.mkFreshJpName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L473-L474","name":"Lean.Compiler.LCNF.mkFreshJpName","line":473,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshJpName","doc":""},"Lean.Compiler.LCNF.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L331-L334","name":"Lean.Compiler.LCNF.mkFreshBinderName","line":331,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshBinderName","doc":""},"Lean.Compiler.LCNF.mkForallParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L269-L270","name":"Lean.Compiler.LCNF.mkForallParams","line":269,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkForallParams","doc":""},"Lean.Compiler.LCNF.mkFixedParamsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FixedParams.lean#L165-L173","name":"Lean.Compiler.LCNF.mkFixedParamsMap","line":165,"kind":"def","docLink":"./Lean/Compiler/LCNF/FixedParams.html#Lean.Compiler.LCNF.mkFixedParamsMap","doc":"Given the (potentially mutually) recursive declarations `decls`,\nreturn a map from declaration name `decl.name` to a bit-mask `m` where `m[i]` is true\niff the `decl.params[i]` is a fixed argument. That is, it does not change in recursive\napplications.\nThe function assumes that if a function `f` was declared in a mutual block, then `decls`\ncontains all (computationally relevant) functions in the mutual block.\n"},"Lean.Compiler.LCNF.mkDeclExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L25-L34","name":"Lean.Compiler.LCNF.mkDeclExt","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.mkDeclExt","doc":""},"Lean.Compiler.LCNF.mkCasesResultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L284-L290","name":"Lean.Compiler.LCNF.mkCasesResultType","line":284,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkCasesResultType","doc":""},"Lean.Compiler.LCNF.mkAuxParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L476-L477","name":"Lean.Compiler.LCNF.mkAuxParam","line":476,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkAuxParam","doc":""},"Lean.Compiler.LCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L266-L267","name":"Lean.Compiler.LCNF.mkAuxLetDecl","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L280-L282","name":"Lean.Compiler.LCNF.mkAuxJpDecl'","line":280,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl'","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L277-L278","name":"Lean.Compiler.LCNF.mkAuxJpDecl","line":277,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl","doc":""},"Lean.Compiler.LCNF.mkAuxFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L272-L275","name":"Lean.Compiler.LCNF.mkAuxFunDecl","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxFunDecl","doc":""},"Lean.Compiler.LCNF.maybeTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L255-L259","name":"Lean.Compiler.LCNF.maybeTypeFormerType","line":255,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.maybeTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type or it is an \"any\" type.\nThis function is similar to `isTypeFormerType`, but more liberal.\nFor example, `isTypeFormerType` returns false for `◾` and `Nat → ◾`, but\nthis function returns 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the given block of potentially mutually recursive functions\nand mark a declaration `f` as recursive if there is an application\n`f ...` in the block.\nThis is an overapproximation, and relies on the fact that our frontend\ncomputes strongly connected components.\nSee comment at `recursive` field.\n"},"Lean.Compiler.LCNF.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Main.lean#L95-L98","name":"Lean.Compiler.LCNF.main","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/Main.html#Lean.Compiler.LCNF.main","doc":""},"Lean.Compiler.LCNF.macroInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToDecl.lean#L15-L20","name":"Lean.Compiler.LCNF.macroInline","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToDecl.html#Lean.Compiler.LCNF.macroInline","doc":"Inline constants tagged with the `[macro_inline]` attribute occurring in `e`.\n"},"Lean.Compiler.LCNF.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L163-L167","name":"Lean.Compiler.LCNF.lambdaLifting","line":163,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.lambdaLifting","doc":"Eliminate all local function declarations.\n"},"Lean.Compiler.LCNF.joinTypes?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L178-L204","name":"Lean.Compiler.LCNF.joinTypes?","line":178,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes?","doc":""},"Lean.Compiler.LCNF.joinTypes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L175-L176","name":"Lean.Compiler.LCNF.joinTypes","line":175,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes","doc":""},"Lean.Compiler.LCNF.isTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L214-L218","name":"Lean.Compiler.LCNF.isTypeFormerType","line":214,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type.\n\nRemark: This is faster than `Lean.Meta.isTypeFormer`, as this\nassumes that the input `type` is an LCNF type.\n"},"Lean.Compiler.LCNF.isTrivialConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L21-L24","name":"Lean.Compiler.LCNF.isTrivialConstructorApp?","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.isTrivialConstructorApp?","doc":""},"Lean.Compiler.LCNF.isSpecCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L209-L210","name":"Lean.Compiler.LCNF.isSpecCandidate","line":209,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.isSpecCandidate","doc":""},"Lean.Compiler.LCNF.isRuntimeBultinType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L90-L91","name":"Lean.Compiler.LCNF.isRuntimeBultinType","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isRuntimeBultinType","doc":"Return `true` iff `declName` is the name of a type with builtin support in the runtime.\n"},"Lean.Compiler.LCNF.isPropFormerTypeQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L19-L22","name":"Lean.Compiler.LCNF.isPropFormerTypeQuick","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerTypeQuick","doc":""},"Lean.Compiler.LCNF.isPropFormerType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L32-L41","name":"Lean.Compiler.LCNF.isPropFormerType.go","line":32,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType.go","doc":""},"Lean.Compiler.LCNF.isPropFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L27-L41","name":"Lean.Compiler.LCNF.isPropFormerType","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType","doc":"Return true iff `type` is `Prop` or `As → Prop`.\n"},"Lean.Compiler.LCNF.isPropFormer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L46-L47","name":"Lean.Compiler.LCNF.isPropFormer","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormer","doc":"Return true iff `e : Prop` or `e : As → Prop`.\n"},"Lean.Compiler.LCNF.isPredicateType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L243-L247","name":"Lean.Compiler.LCNF.isPredicateType","line":243,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPredicateType","doc":"Return `true` if `type` is a predicate.\nExamples: `Nat → Prop`, `Prop`, `Int → Bool → Prop`.\n"},"Lean.Compiler.LCNF.isLcCast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L22-L26","name":"Lean.Compiler.LCNF.isLcCast?","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isLcCast?","doc":"Return `true` if `e` is a `lcCast` application.\n"},"Lean.Compiler.LCNF.isInductiveWithNoCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L286-L289","name":"Lean.Compiler.LCNF.isInductiveWithNoCtors","line":286,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isInductiveWithNoCtors","doc":"Return `true` if `type` is an inductive datatype with 0 constructors. "},"Lean.Compiler.LCNF.isEtaExpandCandidateCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L96-L99","name":"Lean.Compiler.LCNF.isEtaExpandCandidateCore","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.isEtaExpandCandidateCore","doc":""},"Lean.Compiler.LCNF.isErasedCompatible.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L302-L313","name":"Lean.Compiler.LCNF.isErasedCompatible.go","line":302,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible.go","doc":""},"Lean.Compiler.LCNF.isErasedCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L299-L313","name":"Lean.Compiler.LCNF.isErasedCompatible","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible","doc":"Return `true` if `type` should be erased. See item 1 in the note above where `x ◾ ◾` is\na proposition and should be erased when the universe level parameter is set to 0.\n\nRemark: `predVars` is a bitmask that indicates whether de-bruijn variables are predicates or not.\nThat is, `#i` is a predicate if `predVars[predVars.size - i - 1] = true`\n"},"Lean.Compiler.LCNF.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L99-L101","name":"Lean.Compiler.LCNF.isConstructorApp","line":99,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.isConstructorApp","doc":""},"Lean.Compiler.LCNF.isCompilerRelevantMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L16-L17","name":"Lean.Compiler.LCNF.isCompilerRelevantMData","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCompilerRelevantMData","doc":"Return `true` if `mdata` should be preserved.\nRight now, we don't preserve any `MData`, but this may\nchange in the future when we add support for debugging information\n"},"Lean.Compiler.LCNF.isClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L264-L269","name":"Lean.Compiler.LCNF.isClass?","line":264,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isClass?","doc":"`isClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.isCasesApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L63-L69","name":"Lean.Compiler.LCNF.isCasesApp?","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCasesApp?","doc":""},"Lean.Compiler.LCNF.isArrowClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L275-L278","name":"Lean.Compiler.LCNF.isArrowClass?","line":275,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isArrowClass?","doc":"`isArrowClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`, or\nif it is arrow producing an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.instantiateRevRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L702-L706","name":"Lean.Compiler.LCNF.instantiateRevRangeArgs","line":702,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRevRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L696-L700","name":"Lean.Compiler.LCNF.instantiateRangeArgs","line":696,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateForall.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L229-L236","name":"Lean.Compiler.LCNF.instantiateForall.go","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall.go","doc":""},"Lean.Compiler.LCNF.instantiateForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L226-L237","name":"Lean.Compiler.LCNF.instantiateForall","line":226,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall","doc":"Given a LCNF `type` of the form `forall (a_1 : A_1) ... 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`LetValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L492-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","line":492,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L487-L490","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","line":487,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","doc":"If we see a function being passed as an argument to a higher order\nfunction we cannot know what arguments it will be passed further\ndown the line. Hence we set all of its arguments to `top` since anything\nis possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L477-L479","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","line":477,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L408-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode","line":408,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode","doc":"The actual abstract interpreter on a block of `Code`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.instReprValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instReprValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instReprValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.inferStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L505-L519","name":"Lean.Compiler.LCNF.UnreachableBranches.inferStep","line":505,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferStep","doc":"Rerun the abstract interpreter on all declarations except of the unsafe\nones. Return whether any `Value` got updated in the process.\n"},"Lean.Compiler.LCNF.UnreachableBranches.inferMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L524-L531","name":"Lean.Compiler.LCNF.UnreachableBranches.inferMain","line":524,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferMain","doc":"Run `inferStep` until it reaches a fix point.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L261-L264","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","doc":"Obtain the `Value` for a function name if possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L312-L313","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunVal","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunVal","doc":"Get the `Value` of a certain function in the current block by index.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L306-L307","name":"Lean.Compiler.LCNF.UnreachableBranches.getAssignment","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getAssignment","doc":"Get the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L242-L250","name":"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","line":242,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","doc":"Storing `FunctionSummaries` for all functions in a `.olean`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findVarValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L332-L334","name":"Lean.Compiler.LCNF.UnreachableBranches.findVarValue","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findVarValue","doc":"Obtain the `Value` associated with `var` from the context of `InterpM`.\nIf none is available return `Value.bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L315-L318","name":"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.findArgValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L339-L342","name":"Lean.Compiler.LCNF.UnreachableBranches.findArgValue","line":339,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findArgValue","doc":"Find the value of `arg` using the logic of `findVarValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L542-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","line":542,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.elimDead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L538-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead","line":538,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead","doc":"Use the information produced by the abstract interpeter to:\n- Eliminate branches that we know cannot be hit\n- Eliminate values that we know have to be constants.\n"},"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L255-L256","name":"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","line":255,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","doc":"Add a `Value` for a function name.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.widening":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L129-L130","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.widening","line":129,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.widening","doc":"Widening operator that guarantees termination in our abstract interpreter. "},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L101-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","line":101,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L98-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","line":98,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","doc":"Make sure constructors of recursive inductive datatypes can only occur once in each path.\nValues at depth > `maxValueDepth` are also approximated at `top`.\nWe use this function to implement a simple widening operation for our abstract interpreter.\nRecall the widening functions is used to ensure termination in abstract interpreters.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L24-L27","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.top","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.top","doc":"All values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L177-L180","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.proj","line":177,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.proj","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L168-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","line":168,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L163-L167","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","line":163,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L157-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","line":157,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L172-L175","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","line":172,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L76-L88","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.merge","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.merge","doc":"Merge two values into one. `bot` is the neutral element, `top` the annihilator.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L41-L41","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L186-L188","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","line":186,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","doc":"We say that a `Value` is a literal iff it is only a tree of `Value.ctor`\nnodes.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L53-L53","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","line":53,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L206-L221","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","line":206,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L223-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","line":223,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L199-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","line":199,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","doc":"Attempt to turn a `Value` that is representing a literal into a set of\nauxiliary declarations + the final `FVarId` of the declaration that\ncontains the actual literal. If it is not a literal return none.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L147-L155","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","doc":"Obtain the arguments of a certain constructor within the `Value`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L28-L31","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","doc":"A certian consructor with a certain sets of parameters is possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L138-L142","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","doc":"Check whether a certain constructor is part of a `Value` by name.\nNote that both `top` and `bot` will always true here. For bot this is\nbecause we have no information about the `Value` so just to be sure\nwe don't claim the absence of a certain constructor.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L32-L35","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.choice","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.choice","doc":"A set of values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.bot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L20-L23","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.bot","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.bot","doc":"Undefined, could be anything we have no information.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L43-L51","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.beq","line":43,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.beq","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L63-L71","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","line":63,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","doc":"Fuse `v` into `vs`. That is do not only append but if we see that `v`\nis a constructor that is already contained within `vs` try to detect\nthe difference between these values and merge them accordingly into a\nchoice node further down the tree.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L19-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.Value","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value","doc":"The abstract domain of the interpreter. Representing sets of values\nof a certain type.\n"},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L1-L1","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L296-L296","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","doc":"`Value`s of functions in the `InterpContext` use during computation of\nthe fixpoint. 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args[arity:]\n```\n"},"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L635-L643","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","line":635,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","doc":""},"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L478-L483","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","line":478,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","doc":"Eta expand if under applied, otherwise apply k "},"Lean.Compiler.LCNF.ToLCNF.toLCNF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L416-L752","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF","doc":"Put the given expression in `LCNF`.\n\n- Nested proofs are replaced with `lcProof`-applications.\n- Eta-expand applications of declarations that satisfy `shouldEtaExpand`.\n- Put computationally relevant expressions in A-normal form.\n"},"Lean.Compiler.LCNF.ToLCNF.toCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L240-L245","name":"Lean.Compiler.LCNF.ToLCNF.toCode","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toCode","doc":"Create `Code` that executes the current `seq` and then returns `result` "},"Lean.Compiler.LCNF.ToLCNF.seqToCode.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L154-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode.go","line":154,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.seqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L151-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode","line":151,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode","doc":""},"Lean.Compiler.LCNF.ToLCNF.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L247-L248","name":"Lean.Compiler.LCNF.ToLCNF.run","line":247,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.run","doc":""},"Lean.Compiler.LCNF.ToLCNF.pushElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L220-L221","name":"Lean.Compiler.LCNF.ToLCNF.pushElement","line":220,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.pushElement","doc":"Add LCNF element to the current sequence "},"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L366-L372","name":"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","line":366,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L223-L226","name":"Lean.Compiler.LCNF.ToLCNF.mkUnreachable","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkUnreachable","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L322-L328","name":"Lean.Compiler.LCNF.ToLCNF.mkParam","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkParam","doc":"Create a new local declaration using a Lean regular type. "},"Lean.Compiler.LCNF.ToLCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L330-L340","name":"Lean.Compiler.LCNF.ToLCNF.mkLetDecl","line":330,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkLcProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L24-L25","name":"Lean.Compiler.LCNF.ToLCNF.mkLcProof","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLcProof","doc":"Create the temporary `lcProof` "},"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L228-L234","name":"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","line":228,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.litToValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L404-L407","name":"Lean.Compiler.LCNF.ToLCNF.litToValue","line":404,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.litToValue","doc":""},"Lean.Compiler.LCNF.ToLCNF.liftMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L216-L217","name":"Lean.Compiler.LCNF.ToLCNF.liftMetaM","line":216,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.liftMetaM","doc":""},"Lean.Compiler.LCNF.ToLCNF.letValueToArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L236-L237","name":"Lean.Compiler.LCNF.ToLCNF.letValueToArg","line":236,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.letValueToArg","doc":""},"Lean.Compiler.LCNF.ToLCNF.isLCProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L20-L21","name":"Lean.Compiler.LCNF.ToLCNF.isLCProof","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.isLCProof","doc":"Return `true` if `e` is a `lcProof` application.\nRecall that we use `lcProof` to erase all nested proofs.\n"},"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L38-L38","name":"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","doc":""},"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L388-L402","name":"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","line":388,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","doc":"Eta reduce implicits. We use this function to eliminate introduced by the implicit lambda feature,\nwhere it generates terms such as `fun {α} => ReaderT.pure`\n"},"Lean.Compiler.LCNF.ToLCNF.etaExpandN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L377-L382","name":"Lean.Compiler.LCNF.ToLCNF.etaExpandN","line":377,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaExpandN","doc":"Eta-expand with `n` lambdas.\n"},"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L314-L319","name":"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","line":314,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L67-L68","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","line":67,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L78-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.go","line":78,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L70-L76","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","line":70,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L60-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases","doc":"This method returns code that at each exit point of `cases`, it jumps to `jpDecl`.\nIt is similar to `Code.bind`, but we add special support for `inlineMatcher`.\nThe `inlineMatcher` function inlines the auxiliary `_match_` declarations.\nTo make sure there is no code duplication, `inlineMatcher` creates auxiliary declarations `_alt.`.\nWe can say the `_alt.` declarations are pre join points. For each auxiliary declaration used at\nan exit point of `cases`, this method creates an new auxiliary join point that invokes `_alt.`,\nand then jumps to `jpDecl`. The goal is to make sure the auxiliary join point is the only occurrence\nof `_alt.`, then `simp` will inline it.\nThat is, our goal is to try to promote the pre join points `_alt.` into a proper join point.\n"},"Lean.Compiler.LCNF.ToLCNF.applyToAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L299-L303","name":"Lean.Compiler.LCNF.ToLCNF.applyToAny","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.applyToAny","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.typeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L200-L200","name":"Lean.Compiler.LCNF.ToLCNF.State.typeCache","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.typeCache","doc":"`toLCNFType` cache "},"Lean.Compiler.LCNF.ToLCNF.State.toAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L212-L212","name":"Lean.Compiler.LCNF.ToLCNF.State.toAny","line":212,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.toAny","doc":"Fields that are type formers must be replaced with `◾`\nin the resulting code. Otherwise, we have data occurring in\ntypes.\nWhen converting a `casesOn` into LCNF, we add constructor fields\nthat are types and type formers into this set. See `visitCases`.\n"},"Lean.Compiler.LCNF.ToLCNF.State.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L204-L204","name":"Lean.Compiler.LCNF.ToLCNF.State.seq","line":204,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.seq","doc":"LCNF sequence, we chain it to create a LCNF `Code` object. "},"Lean.Compiler.LCNF.ToLCNF.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L1-L1","name":"Lean.Compiler.LCNF.ToLCNF.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.mk","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L196-L196","name":"Lean.Compiler.LCNF.ToLCNF.State.lctx","line":196,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.lctx","doc":"Local context containing the original Lean types (not LCNF ones). "},"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L202-L202","name":"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","line":202,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","doc":"isTypeFormerType cache "},"Lean.Compiler.LCNF.ToLCNF.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L198-L198","name":"Lean.Compiler.LCNF.ToLCNF.State.cache","line":198,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.cache","doc":"Cache from Lean regular expression to LCNF argument. 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processed\n"},"Lean.Compiler.LCNF.Specialize.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L42-L55","name":"Lean.Compiler.LCNF.Specialize.Context","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Context","doc":""},"Lean.Compiler.LCNF.Specialize.Collector.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L137-L152","name":"Lean.Compiler.LCNF.Specialize.Collector.collect","line":137,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Collector.collect","doc":"Given the specialization mask `paramsInfo` and the arguments `args`,\ncollect their dependencies, and return an array `mask` of size `paramsInfo.size` s.t.\n- `mask[i] = some args[i]` if `paramsInfo[i] != .other`\n- `mask[i] = none`, otherwise.\nThat is, `mask` contains only the arguments that are contributing to the code specialization.\nWe use this information to compute a \"key\" to uniquely identify the code specialization, and\ncreating the specialized code.\n"},"Lean.Compiler.LCNF.Specialize.CacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L1-L1","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.mk","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L23-L23","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.key","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.key","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L24-L24","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.declName","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.declName","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L22-L25","name":"Lean.Compiler.LCNF.Specialize.CacheEntry","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry","doc":""},"Lean.Compiler.LCNF.Specialize.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L20-L20","name":"Lean.Compiler.LCNF.Specialize.Cache","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Cache","doc":""},"Lean.Compiler.LCNF.SpecState.specInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L53-L53","name":"Lean.Compiler.LCNF.SpecState.specInfo","line":53,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.specInfo","doc":""},"Lean.Compiler.LCNF.SpecState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.mk","doc":""},"Lean.Compiler.LCNF.SpecState.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L63-L65","name":"Lean.Compiler.LCNF.SpecState.addEntry","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.addEntry","doc":""},"Lean.Compiler.LCNF.SpecState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L52-L54","name":"Lean.Compiler.LCNF.SpecState","line":52,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState","doc":""},"Lean.Compiler.LCNF.SpecParamInfo.user":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L32-L37","name":"Lean.Compiler.LCNF.SpecParamInfo.user","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.user","doc":"An argument that has been specified in the `@[specialize]` attribute. Lean specializes it even if it is\nnot fixed in recursive declarations. Non-termination can happen, and Lean interrupts it with an error message\nbased on the stack depth.\n"},"Lean.Compiler.LCNF.SpecParamInfo.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L38-L41","name":"Lean.Compiler.LCNF.SpecParamInfo.other","line":38,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.other","doc":"Parameter is not going to be specialized.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L27-L31","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","line":27,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","doc":"Computationally irrelevant parameters that are fixed in recursive declarations,\n*and* there is a `fixedInst`, `fixedHO`, or `user` param that depends on it.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L16-L20","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedInst","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedInst","doc":"A parameter that is an type class instance (or an arrow that produces a type class instance),\nand is fixed in recursive declarations. By default, Lean always specializes this kind of argument.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedHO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L21-L26","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedHO","line":21,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedHO","doc":"A parameter that is a function and is fixed in recursive declarations. If the user tags a declaration\nwith `@[specialize]` without specifying which arguments should be specialized, Lean will specialize\n`.fixedHO` arguments in addition to `.fixedInst`.\n"},"Lean.Compiler.LCNF.SpecParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L15-L42","name":"Lean.Compiler.LCNF.SpecParamInfo","line":15,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo","doc":"Each parameter is associated with a `SpecParamInfo`. This information is used by `LCNF/Specialize.lean`.\n"},"Lean.Compiler.LCNF.SpecEntry.paramsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L58-L58","name":"Lean.Compiler.LCNF.SpecEntry.paramsInfo","line":58,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.paramsInfo","doc":""},"Lean.Compiler.LCNF.SpecEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.mk","doc":""},"Lean.Compiler.LCNF.SpecEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L57-L57","name":"Lean.Compiler.LCNF.SpecEntry.declName","line":57,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.declName","doc":""},"Lean.Compiler.LCNF.SpecEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L56-L59","name":"Lean.Compiler.LCNF.SpecEntry","line":56,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry","doc":""},"Lean.Compiler.LCNF.Simp.withInlining.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L132-L139","name":"Lean.Compiler.LCNF.Simp.withInlining.check","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining.check","doc":""},"Lean.Compiler.LCNF.Simp.withInlining":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L125-L139","name":"Lean.Compiler.LCNF.Simp.withInlining","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining","doc":"Execute `x` with an updated `inlineStack`. If `value` is of the form `const ...`, add `const` to the stack.\nOtherwise, do not change the `inlineStack`.\n"},"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L152-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","line":152,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","doc":""},"Lean.Compiler.LCNF.Simp.withIncRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L144-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth","line":144,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth","doc":"Similar to the default `Lean.withIncRecDepth`, but include the `inlineStack` in the error messsage.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","doc":""},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L85-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp","line":85,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L103-L104","name":"Lean.Compiler.LCNF.Simp.withDiscrCtor","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtor","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withAddMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L174-L180","name":"Lean.Compiler.LCNF.Simp.withAddMustInline","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withAddMustInline","doc":"Execute `x` with `fvarId` set as `mustInline`.\nAfter execution the original setting is restored.\n"},"Lean.Compiler.LCNF.Simp.updateFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L116-L119","name":"Lean.Compiler.LCNF.Simp.updateFunDeclInfo","line":116,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.updateFunDeclInfo","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.specializePartialApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L45-L57","name":"Lean.Compiler.LCNF.Simp.specializePartialApp","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.specializePartialApp","doc":"Create a new local function declaration when `info.args.size < info.params.size`.\nWe use this function to inline/specialize a partial application of a local function.\n"},"Lean.Compiler.LCNF.Simp.simpValue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L54-L56","name":"Lean.Compiler.LCNF.Simp.simpValue?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpValue?","doc":"Try to apply simple simplifications. "},"Lean.Compiler.LCNF.Simp.simpProj?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L14-L19","name":"Lean.Compiler.LCNF.Simp.simpProj?","line":14,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpProj?","doc":"Try to simplify projections `.proj _ i s` where `s` is constructor.\n"},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L232-L271","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","line":232,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L273-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","line":273,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L204-L230","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visit","line":204,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visit","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L194-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?","doc":"Try to optimize `jpCases` join points.\nWe say a join point is a `jpCases` when it satifies the predicate `isJpCases`.\nIf we have a jump to `jpCases` with a constructor, then we can optimize the code by creating an new join point for\nthe constructor.\nExample: suppose we have\n```lean\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => let x.3 := h x.1; return x.3\n...\ncases x.4\n| ctor1 =>\n let x.5 := cons z.1 z.2\n jmp _jp.1 x.5\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nThis `simpJpCases?` converts it to\n```lean\njp _jp.2 h t :=\n let x.1 := true\n let x.3 := h x.1\n return x.3\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => jmp _jp.2 h t\n...\ncases x.4\n| ctor1 =>\n -- The constructor has been eliminated here\n jmp _jp.2 z.1 z.2\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nNote that if all jumps to the join point are with constructors,\nthen the join point is eliminated as dead code.\n"},"Lean.Compiler.LCNF.Simp.simpFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L179-L183","name":"Lean.Compiler.LCNF.Simp.simpFunDecl","line":179,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpFunDecl","doc":"Simplify the given local function declaration.\n"},"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L106-L109","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","line":106,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","doc":""},"Lean.Compiler.LCNF.Simp.simpCtorDiscr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L41-L45","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscr?","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpCtorDiscr?","doc":""},"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L188-L213","name":"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","line":188,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","doc":"Try to simplify `cases` of `constructor`\n"},"Lean.Compiler.LCNF.Simp.simpAppApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L29-L39","name":"Lean.Compiler.LCNF.Simp.simpAppApp?","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpAppApp?","doc":"Application over application.\n```\nlet g := f a\ng b\n```\nis simplified to `f a b`.\n"},"Lean.Compiler.LCNF.Simp.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L218-L333","name":"Lean.Compiler.LCNF.Simp.simp","line":218,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simp","doc":"Simplify `code`\n"},"Lean.Compiler.LCNF.Simp.shouldInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L200-L204","name":"Lean.Compiler.LCNF.Simp.shouldInlineLocal","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.shouldInlineLocal","doc":"Return `true` if the given local function declaration should be inlined.\n"},"Lean.Compiler.LCNF.Simp.markUsedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L22-L23","name":"Lean.Compiler.LCNF.Simp.markUsedType","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedType","doc":"Mark all free variables occurring in `type` as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L37-L42","name":"Lean.Compiler.LCNF.Simp.markUsedLetValue","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetValue","doc":"Mark all free variables occurring in `e` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L48-L49","name":"Lean.Compiler.LCNF.Simp.markUsedLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetDecl","doc":"Mark all free variables occurring on the right-hand side of the given let declaration as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L67-L68","name":"Lean.Compiler.LCNF.Simp.markUsedFunDecl","line":67,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFunDecl","doc":"Mark all free variables occurring in `funDecl` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L15-L16","name":"Lean.Compiler.LCNF.Simp.markUsedFVar","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFVar","doc":"Mark `fvarId` as an used free variable.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L55-L62","name":"Lean.Compiler.LCNF.Simp.markUsedCode","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedCode","doc":"Mark all free variables occurring in `code` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L28-L32","name":"Lean.Compiler.LCNF.Simp.markUsedArg","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedArg","doc":"Mark all free variables occurring in `arg` as used.\n"},"Lean.Compiler.LCNF.Simp.markSimplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L88-L89","name":"Lean.Compiler.LCNF.Simp.markSimplified","line":88,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.markSimplified","doc":"Set the `simplified` flag to `true`. "},"Lean.Compiler.LCNF.Simp.isUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L74-L75","name":"Lean.Compiler.LCNF.Simp.isUsed","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.isUsed","doc":"Return `true` if `fvarId` is in the `used` set.\n"},"Lean.Compiler.LCNF.Simp.isSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L194-L195","name":"Lean.Compiler.LCNF.Simp.isSmall","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isSmall","doc":"Return `true` if the given code is considered \"small\".\n"},"Lean.Compiler.LCNF.Simp.isReturnOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L93-L98","name":"Lean.Compiler.LCNF.Simp.isReturnOf","line":93,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.isReturnOf","doc":"Similar to `Code.isReturnOf`, but taking the current substitution into account.\n"},"Lean.Compiler.LCNF.Simp.isOnceOrMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L186-L189","name":"Lean.Compiler.LCNF.Simp.isOnceOrMustInline","line":186,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isOnceOrMustInline","doc":"Return true if the given local function declaration or join point id is marked as\n`once` or `mustInline`. We use this information to decide whether to inline them.\n"},"Lean.Compiler.LCNF.Simp.isJpCases?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L31-L36","name":"Lean.Compiler.LCNF.Simp.isJpCases?.go","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?.go","doc":""},"Lean.Compiler.LCNF.Simp.isJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L26-L37","name":"Lean.Compiler.LCNF.Simp.isJpCases?","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?","doc":"Given the function declaration `decl`, return `some idx` if it is of the form\n```\nf y :=\n ... /- This part is not bigger than smallThreshold. -/\n cases y\n | ... => ...\n ...\n```\n`idx` is the index of the parameter used in the `cases` statement.\n"},"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instMonadSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L79-L79","name":"Lean.Compiler.LCNF.Simp.instMonadSimpM","line":79,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L84-L85","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","line":84,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L81-L82","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","line":81,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L50-L50","name":"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","line":50,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L43-L43","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","line":43,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L38-L38","name":"Lean.Compiler.LCNF.Simp.instInhabitedConfig","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.instInhabitedConfig","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L77-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","line":77,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L50-L75","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","line":50,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L37-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?","doc":"Auxiliary function for projecting \"type class dictionary access\".\nThat is, we are trying to extract one of the type class instance elements.\nRemark: We do not consider parent instances to be elements.\nFor example, suppose `e` is `_x_4.1`, and we have\n```\n_x_2 : Monad (ReaderT Bool (ExceptT String Id)) := @ReaderT.Monad Bool (ExceptT String Id) _x_1\n_x_3 : Applicative (ReaderT Bool (ExceptT String Id)) := _x_2.1\n_x_4 : Functor (ReaderT Bool (ExceptT String Id)) := _x_3.1\n```\nThen, we will expand `_x_4.1` since it corresponds to the `Functor` `map` element,\nand its type is not a type class, but is of the form\n```\n{α β : Type u} → (α → β) → ...\n```\nIn the example above, the compiler should not expand `_x_3.1` or `_x_2.1` because they are\ntype class applications: `Functor` and `Applicative` respectively.\nBy eagerly expanding them, we may produce inefficient and bloated code.\nFor example, we may be using `_x_3.1` to invoke a function that expects a `Functor` instance.\nBy expanding `_x_3.1` we will be just expanding the code that creates this instance.\n\nThe result is representing a sequence of code containing let-declarations and local function declarations (`Array CodeDecl`)\nand the free variable containing the result (`FVarId`). The resulting `FVarId` often depends only on a small\nsubset of `Array CodeDecl`. However, this method does try to filter the relevant ones.\nWe rely on the `used` var set available in `SimpM` to filter them. See `attachCodeDecls`.\n"},"Lean.Compiler.LCNF.Simp.inlineJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L62-L67","name":"Lean.Compiler.LCNF.Simp.inlineJp?","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineJp?","doc":"Try to inline a join point.\n"},"Lean.Compiler.LCNF.Simp.inlineCandidate?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L34-L106","name":"Lean.Compiler.LCNF.Simp.inlineCandidate?","line":34,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.inlineCandidate?","doc":"Return `some info` if `e` should be inlined.\n"},"Lean.Compiler.LCNF.Simp.inlineApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L121-L174","name":"Lean.Compiler.LCNF.Simp.inlineApp?","line":121,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineApp?","doc":"If the value of the given let-declaration is an application that can be inlined,\ninline it and simplify the result.\n\n`k` is the \"continuation\" for the let declaration, if the application is inlined,\nit will also be simplified.\n\nNote: `inlineApp?` did not use to be in this mutually recursive declaration.\nIt used to be invoked by `simp`, and would return `Option Code` that would be\nthen simplified by `simp`. However, this simpler architecture produced an\nexponential blowup in when processing functions such as `Lean.Elab.Deriving.Ord.mkMatch.mkAlts`.\nThe key problem is that when inlining a declaration we often can reduce the number\nof exit points by simplified the inlined code, and then connecting the result to the\ncontinuation `k`. However, this optimization is only possible if we simplify the\ninlined code **before** we attach it to the continuation.\n"},"Lean.Compiler.LCNF.Simp.incVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L92-L93","name":"Lean.Compiler.LCNF.Simp.incVisited","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incVisited","doc":"Increment `visited` performance counter. "},"Lean.Compiler.LCNF.Simp.incInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L100-L101","name":"Lean.Compiler.LCNF.Simp.incInlineLocal","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInlineLocal","doc":"Increment `inlineLocal` performance counter. It is the number of inlined local function and join point declarations. "},"Lean.Compiler.LCNF.Simp.incInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L96-L97","name":"Lean.Compiler.LCNF.Simp.incInline","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInline","doc":"Increment `inline` performance counter. It is the number of inlined global declarations. "},"Lean.Compiler.LCNF.Simp.getIndInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L71-L79","name":"Lean.Compiler.LCNF.Simp.getIndInfo?","line":71,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.getIndInfo?","doc":"If `type` is an inductive datatype, return its universe levels and parameters.\n"},"Lean.Compiler.LCNF.Simp.findFunDecl'?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Basic.lean#L23-L29","name":"Lean.Compiler.LCNF.Simp.findFunDecl'?","line":23,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Basic.html#Lean.Compiler.LCNF.Simp.findFunDecl'?","doc":"Similar to `findFunDecl?`, but follows aliases (i.e., `let _x.i := _x.j`).\nConsider the following example\n```\nfun _f.1 ... := ...\nlet _x.2 := _f.1\n```\n`findFunDecl? _x.2` returns `none`, but `findFunDecl'? _x.2` returns the declaration for `_f.1`.\n"},"Lean.Compiler.LCNF.Simp.findCtorName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.findCtorName?","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtorName?","doc":""},"Lean.Compiler.LCNF.Simp.findCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L54-L62","name":"Lean.Compiler.LCNF.Simp.findCtor?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtor?","doc":"If `fvarId` is a constructor application, returns constructor information.\nRemark: we use the map `discrCtorMap`.\nRemark: We use this method when simplifying projections and cases-constructor.\n"},"Lean.Compiler.LCNF.Simp.etaPolyApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L75-L88","name":"Lean.Compiler.LCNF.Simp.etaPolyApp?","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.etaPolyApp?","doc":"When the configuration flag `etaPoly = true`, we eta-expand\npartial applications of functions that take local instances as arguments.\nThis kind of function is inlined or specialized, and we create new\nsimplification opportunities by eta-expanding them.\n"},"Lean.Compiler.LCNF.Simp.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L223-L225","name":"Lean.Compiler.LCNF.Simp.eraseLetDecl","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseLetDecl","doc":"Erase the given let-declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L231-L233","name":"Lean.Compiler.LCNF.Simp.eraseFunDecl","line":231,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseFunDecl","doc":"Erase the given local function declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.elimVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L100-L102","name":"Lean.Compiler.LCNF.Simp.elimVar?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.elimVar?","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L68-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","line":68,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L64-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo","doc":"Return a map containing entries `jpFVarId ↦ { paramIdx, ctorNames }` where `jpFVarId` is the id of join point\nin code that satisfies `isJpCases`, and `ctorNames` is a set of constructor names such that\nthere is a jump `.jmp jpFVarId #[..., x, ...]` in `code` and `x` is a constructor application.\n`paramIdx` is the index of the parameter\n"},"Lean.Compiler.LCNF.Simp.betaReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L211-L217","name":"Lean.Compiler.LCNF.Simp.betaReduce","line":211,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.betaReduce","doc":"LCNF \"Beta-reduce\". The equivalent of `(fun params => code) args`.\nIf `mustInline` is true, the local function declarations in the resulting code are marked as `.mustInline`.\nSee comment at `updateFunDeclInfo`.\n"},"Lean.Compiler.LCNF.Simp.attachCodeDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls.go","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls.go","doc":""},"Lean.Compiler.LCNF.Simp.attachCodeDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L86-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls","doc":"Attach the given `decls` to `code`. For example, assume `decls` is `#[.let _x.1 := 10, .let _x.2 := true]`,\nthen the result is\n```\nlet _x.1 := 10\nlet _x.2 := true\n\n```\n"},"Lean.Compiler.LCNF.Simp.applyImplementedBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L47-L51","name":"Lean.Compiler.LCNF.Simp.applyImplementedBy?","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.applyImplementedBy?","doc":""},"Lean.Compiler.LCNF.Simp.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L104-L105","name":"Lean.Compiler.LCNF.Simp.addMustInline","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addMustInline","doc":"Mark the local function declaration or join point with the given id as a \"must inline\". "},"Lean.Compiler.LCNF.Simp.addFunOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L108-L109","name":"Lean.Compiler.LCNF.Simp.addFunOcc","line":108,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunOcc","doc":"Add a new occurrence of local function `fvarId`. "},"Lean.Compiler.LCNF.Simp.addFunHoOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L112-L113","name":"Lean.Compiler.LCNF.Simp.addFunHoOcc","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunHoOcc","doc":"Add a new occurrence of local function `fvarId` in argument position . "},"Lean.Compiler.LCNF.Simp.addFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L242-L248","name":"Lean.Compiler.LCNF.Simp.addFVarSubst","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFVarSubst","doc":"Similar to `LCNF.addFVarSubst`. That is, add the entry\n`fvarId ↦ fvarId'` to the free variable substitution.\nIf `fvarId` has a non-internal binder name `n`, but `fvarId'` does not,\nthis method also adds the entry `fvarId' ↦ n` to the `binderRenaming` map.\nThe goal is to preserve user provided names.\n"},"Lean.Compiler.LCNF.Simp.addDefaultAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DefaultAlt.lean#L45-L65","name":"Lean.Compiler.LCNF.Simp.addDefaultAlt","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DefaultAlt.html#Lean.Compiler.LCNF.Simp.addDefaultAlt","doc":"Add a default case to the given `cases` alternatives if there\nare alternatives with equivalent (aka alpha equivalent) right hand sides.\n"},"Lean.Compiler.LCNF.Simp.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L64-L64","name":"Lean.Compiler.LCNF.Simp.State.visited","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.visited","doc":"Number of visited `let-declarations` and terminal values.\nThis is a performance counter, and currently has no impact on code generation.\n"},"Lean.Compiler.LCNF.Simp.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L46-L46","name":"Lean.Compiler.LCNF.Simp.State.used","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.used","doc":"Track used local declarations to be able to eliminate dead variables.\n"},"Lean.Compiler.LCNF.Simp.State.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.State.subst","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.subst","doc":"Free variable substitution. We use it to implement inlining and removing redundant variables `let _x.i := _x.j`\n"},"Lean.Compiler.LCNF.Simp.State.simplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L59-L59","name":"Lean.Compiler.LCNF.Simp.State.simplified","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.simplified","doc":"`true` if some simplification was performed in the current simplification pass.\n"},"Lean.Compiler.LCNF.Simp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.mk","doc":""},"Lean.Compiler.LCNF.Simp.State.inlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L74-L74","name":"Lean.Compiler.LCNF.Simp.State.inlineLocal","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inlineLocal","doc":"Number of local functions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.inline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L69-L69","name":"Lean.Compiler.LCNF.Simp.State.inline","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inline","doc":"Number of definitions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L55-L55","name":"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","doc":"Mapping used to decide whether a local function declaration must be inlined or not.\n"},"Lean.Compiler.LCNF.Simp.State.binderRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L51-L51","name":"Lean.Compiler.LCNF.Simp.State.binderRenaming","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.binderRenaming","doc":"Mapping containing free variables ids that need to be renamed (i.e., the `binderName`).\nWe use this map to preserve user provide names.\n"},"Lean.Compiler.LCNF.Simp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L38-L74","name":"Lean.Compiler.LCNF.Simp.State","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State","doc":""},"Lean.Compiler.LCNF.Simp.SimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L76-L76","name":"Lean.Compiler.LCNF.Simp.SimpM","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.SimpM","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L55-L56","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","doc":"Return `true` if the collected information suggests opportunities for the `JpCases` optimization. "},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L52-L52","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L44-L44","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","line":44,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","doc":"Parameter index returned by `isJpCases?`. This parameter is the one the join point is performing the case-split. "},"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L49-L49","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","line":49,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","doc":"Set of constructor names s.t. `ctorName` is in the set if there is a jump to the join point where the parameter\n`paramIdx` is a constructor application.\n"},"Lean.Compiler.LCNF.Simp.JpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L42-L50","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo","doc":"Information for join points that satisfy `isJpCases?`\n"},"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L102-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L101-L101","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.default","line":101,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.default","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L100-L100","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L99-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt","line":99,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","doc":"Value (lambda expression) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","doc":"`recursive = true` if the declaration being inline is in a mutually recursive block. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L16-L16","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L23-L23","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","doc":"`ifReduce = true` if the declaration being inlined was tagged with `inline_if_reduce`. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L20-L20","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L28-L29","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","doc":"The arity (aka number of parameters) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L21-L21","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L15-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo","line":15,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo","doc":"Result of `inlineCandidate?`.\nIt contains information for inlining local and global functions.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L112-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","line":112,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L103-L110","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L96-L101","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L92-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L80-L83","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","line":80,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","doc":"Mapping from local function name to inlining information.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L45-L50","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L76-L78","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L66-L71","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","line":66,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","doc":"Add new occurrence for the local function occurring as an argument for another function.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L55-L61","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L38-L43","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap","doc":"Local function declaration statistics.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.once":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L20-L23","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.once","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.once","doc":"Local function is applied once, and must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L29-L32","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","line":29,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","doc":"Function must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.many":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L24-L28","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.many","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.many","doc":"Local function is applied many times or occur as an argument of another function,\nand will only be inlined if it is small.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L19-L33","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo","doc":"Local function usage information used to decide whether it should be inlined or not.\nThe information is an approximation, but it is on the \"safe\" side. That is, if we tagged\na function with `.once`, then it is applied only once. A local function may be marked as\n`.many`, but after simplifications the number of applications may reduce to 1. This is not\na big problem in practice because we run the simplifier multiple times, and this information\nis recomputed from scratch at the beginning of each simplification step.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","doc":"A mapping from discriminant to constructor application it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L41-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","doc":"A mapping from constructor application to discriminant it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L33-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context","line":33,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L47-L47","name":"Lean.Compiler.LCNF.Simp.DiscrM","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM","doc":"Helper monad for tracking mappings from discriminant to constructor applications and back.\nThe combinator `withDiscrCtor` should be used when visiting `cases` alternatives.\n"},"Lean.Compiler.LCNF.Simp.CtorInfo.natVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L16-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo.natVal","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.natVal","doc":"Natural numbers are morally constructor applications "},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L24-L26","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L28-L31","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L19-L22","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getName","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getName","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L15-L15","name":"Lean.Compiler.LCNF.Simp.CtorInfo.ctor","line":15,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.ctor","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L14-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo","line":14,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo","doc":""},"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L104-L104","name":"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","doc":"Mapping from declaration names to number of occurrences at `inlineStack`\n"},"Lean.Compiler.LCNF.Simp.Context.inlineStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Context.inlineStack","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStack","doc":"Stack of global declarations being recursively inlined.\n"},"Lean.Compiler.LCNF.Simp.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L27-L27","name":"Lean.Compiler.LCNF.Simp.Context.declName","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.declName","doc":"Name of the declaration being simplified.\nWe currently use this information because we are generating phase1 declarations on demand,\nand it may trigger non-termination when trying to access the phase1 declaration.\n"},"Lean.Compiler.LCNF.Simp.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L28-L28","name":"Lean.Compiler.LCNF.Simp.Context.config","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.config","doc":""},"Lean.Compiler.LCNF.Simp.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L21-L36","name":"Lean.Compiler.LCNF.Simp.Context","line":21,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L359-L363","name":"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","line":359,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","doc":"All 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folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L336-L354","name":"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","line":336,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L413-L415","name":"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L79-L80","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L153-L158","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","doc":"Turn an `#[a, b, c]` into:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n_x.26\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L104-L108","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L68-L69","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","line":68,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L90-L92","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L60-L62","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","doc":"A wrapper around `mkAuxLetDecl` that also calls `mkLit`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L50-L53","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","doc":"A wrapper around `LCNF.mkAuxLetDecl` that will automatically store the\n`LetDecl` in the state of `FolderM`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L110-L110","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","line":110,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L113-L113","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","line":113,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L112-L112","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","line":112,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L111-L111","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","line":111,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L82-L84","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","line":82,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L71-L73","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","line":71,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L114-L114","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","line":114,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L94-L96","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","line":94,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L302-L304","name":"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","line":302,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","doc":"Literal folders for higher order datastructures.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L75-L77","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L133-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","line":133,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L130-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","line":130,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","doc":"Turns an expression chain of the form\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ a _x.1\nlet _x.3 := @List.cons _ b _x.2\nlet _x.4 := @List.cons _ c _x.3\nlet _x.5 := @List.cons _ d _x.4\nlet _x.6 := @List.cons _ e _x.5\n```\ninto: `[a, b, c, d ,e]` + The type contained in the list\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L417-L418","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","line":417,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L86-L88","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L398-L411","name":"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L423-L424","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","line":423,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","doc":"Apply a list of default folders to `decl`\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L178-L183","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","doc":"Evaluate array literals at compile time, that is turn:\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ z _x.1\nlet _x.3 := @List.cons _ y _x.2\nlet _x.4 := @List.cons _ x _x.3\nlet _x.5 := @List.toArray _ _x.4\n```\nTo its array form:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L387-L389","name":"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","line":387,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L312-L334","name":"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","doc":"All arithmetic folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L368-L376","name":"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","line":368,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","doc":"Apply all known folders to `decl`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","doc":"Turn a value of type `α` into a series of auxiliary `LetDecl`s + a\nfinal `Expr` putting them all together into a literal of type `α`,\nwhere again the idea of what a literal is depends on `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L30","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","line":30,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","doc":"Attempt to turn the provided `Expr` into a value of type `α` if\nit is whatever concept of a literal `α` has. Note that this function\ndoes assume that the provided `Expr` does indeed have type `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal","line":30,"kind":"class","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal","doc":"A typeclass for detecting and producing literals of arbitrary types\ninside of LCNF.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L393-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","line":393,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L392-L392","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","line":392,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L391-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","line":391,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","doc":"A constant folding monad, the additional state stores auxiliary declarations\nrequired to build the new constant.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L396-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","line":396,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L395-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","line":395,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L224-L228","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","doc":"Provide a folder for an operation with a right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L242-L246","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","doc":"Provide a folder for an operation with a right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L306-L307","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L257-L264","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","line":257,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L266-L273","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L188-L192","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","line":188,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","doc":"Turn a unary function such as `Nat.succ` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L203-L210","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","line":203,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L197-L201","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","line":197,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","doc":"Turn a binary function such as `Nat.add` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L290-L291","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","line":290,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","doc":"Provide a folder for an operation that has the same left and right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L296-L297","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","doc":"Provide a folder for an operation that has the same left and right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L215-L219","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","line":215,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","doc":"Provide a folder for an operation with a left neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L233-L237","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","line":233,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","doc":"Provide a folder for an operation with a left annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L278-L285","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","line":278,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","doc":"Pick the first folder out of `folders` that succeeds.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L248-L255","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","line":248,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L24-L24","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder","doc":"A constant folder for a specific function, takes all the arguments of a\ncertain function and produces a new `Expr` + auxiliary declarations in\nthe `FolderM` monad on success. If the folding fails it returns `none`.\n"},"Lean.Compiler.LCNF.Simp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.mk","doc":""},"Lean.Compiler.LCNF.Simp.Config.inlinePartial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.Config.inlinePartial","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlinePartial","doc":"If `inlinePartial` is `true`, we inline partial function applications tagged\nwith `[inline]`. Note that this option is automatically disabled when processing\ndeclarations tagged with `[inline]`, marked to be specialized, or instances.\n"},"Lean.Compiler.LCNF.Simp.Config.inlineDefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.Config.inlineDefs","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlineDefs","doc":"If `inlineDefs` is `true` then top-level definitions are inlined when they are small are\nannotated with inlining attributes.\n"},"Lean.Compiler.LCNF.Simp.Config.implementedBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Config.implementedBy","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.implementedBy","doc":"If `implementedBy` is `true`, we apply the `implemented_by` replacements.\nRemark: we only apply `casesOn` replacements at phase 2 because `cases` constructor\nmay not have enough information for reconstructing the original `casesOn` application at\nphase 1.\n"},"Lean.Compiler.LCNF.Simp.Config.etaPoly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.Config.etaPoly","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.etaPoly","doc":"If `etaPoly` is true, we eta expand any global function application when\nthe function takes local instances. The idea is that we do not generate code\nfor this kind of application, and we want all of them to specialized or inlined.\n"},"Lean.Compiler.LCNF.Simp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L13-L38","name":"Lean.Compiler.LCNF.Simp.Config","line":13,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config","doc":"Configuration options for `Simp` that are not controlled using `set_option`.\nRecall that we have multiple `Simp` passes and they use different configurations.\n"},"Lean.Compiler.LCNF.ScopeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonadScope.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeT","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.ScopeT","doc":""},"Lean.Compiler.LCNF.ScopeM.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L32-L35","name":"Lean.Compiler.LCNF.ScopeM.withNewScope","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withNewScope","doc":"Clear the current scope for the monadic action `x`, afterwards continuing\nwith the old one.\n"},"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L24-L26","name":"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","doc":"Execute `x` but recover the previous scope after doing so.\n"},"Lean.Compiler.LCNF.ScopeM.setScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeM.setScope","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.setScope","doc":""},"Lean.Compiler.LCNF.ScopeM.isInScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L41-L43","name":"Lean.Compiler.LCNF.ScopeM.isInScope","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.isInScope","doc":"Check whether `fvarId` is in the current scope, that is, was declared within\nthe current `fun` declaration that is being processed.\n"},"Lean.Compiler.LCNF.ScopeM.getScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L17-L17","name":"Lean.Compiler.LCNF.ScopeM.getScope","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.getScope","doc":""},"Lean.Compiler.LCNF.ScopeM.clearScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L19-L19","name":"Lean.Compiler.LCNF.ScopeM.clearScope","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.clearScope","doc":""},"Lean.Compiler.LCNF.ScopeM.addToScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L48-L49","name":"Lean.Compiler.LCNF.ScopeM.addToScope","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.addToScope","doc":"Add a new `FVarId` to the current scope.\n"},"Lean.Compiler.LCNF.ScopeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L13-L13","name":"Lean.Compiler.LCNF.ScopeM","line":13,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM","doc":"A general abstraction for the idea of a scope in the compiler.\n"},"Lean.Compiler.LCNF.Scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonadScope.lean#L10-L10","name":"Lean.Compiler.LCNF.Scope","line":10,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.Scope","doc":""},"Lean.Compiler.LCNF.Renaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Renaming.lean#L12-L12","name":"Lean.Compiler.LCNF.Renaming","line":12,"kind":"def","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Renaming","doc":"A mapping from free variable id to binder name.\n"},"Lean.Compiler.LCNF.ReduceJpArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L18-L60","name":"Lean.Compiler.LCNF.ReduceJpArity.reduce","line":18,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceJpArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L16-L16","name":"Lean.Compiler.LCNF.ReduceJpArity.ReduceM","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L124-L141","name":"Lean.Compiler.LCNF.ReduceArity.reduce","line":124,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L122-L122","name":"Lean.Compiler.LCNF.ReduceArity.ReduceM","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.paramMask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L120-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context.paramMask","line":120,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.paramMask","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L1-L1","name":"Lean.Compiler.LCNF.ReduceArity.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.mk","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L118-L118","name":"Lean.Compiler.LCNF.ReduceArity.Context.declName","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.declName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L119-L119","name":"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L117-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context","line":117,"kind":"structure","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L26-L27","name":"Lean.Compiler.LCNF.PullLetDecls.withParams","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withParams","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L29-L30","name":"Lean.Compiler.LCNF.PullLetDecls.withNewScope","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withNewScope","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L23-L24","name":"Lean.Compiler.LCNF.PullLetDecls.withFVar","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withFVar","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L36-L46","name":"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","line":36,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fd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cLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context","doc":""},"Lean.Compiler.LCNF.PullFunDecls.pull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L146-L163","name":"Lean.Compiler.LCNF.PullFunDecls.pull","line":146,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.pull","doc":"Pull local function declarations and join points in `code`.\nThe state contains the declarations being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L20-L20","name":"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","line":20,"kind":"instance","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L64-L68","name":"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","doc":"Similar to `findFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L40-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L32-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable. The idea is that we have to stop pulling these declarations because they\ndepend on `fvarId`.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L49-L54","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L56-L58","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L117-L119","name":"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","line":117,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","doc":"Similar to `attachFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attachJps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L121-L125","name":"Lean.Compiler.LCNF.PullFunDecls.attachJps","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachJps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L109-L111","name":"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","line":109,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attach.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L91-L92","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visited","line":91,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visited","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L94-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visit","line":94,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visit","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L87-L89","name":"Lean.Compiler.LCNF.PullFunDecls.attach.go","line":87,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L82-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach","line":82,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach","doc":"Attach the given array of local function declarations and join points to `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.addToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L131-L140","name":"Lean.Compiler.LCNF.PullFunDecls.addToPull","line":131,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.addToPull","doc":"Add local function declaration (or join point if `isFun = false`) to the state.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L19-L19","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.used","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.used","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L1-L1","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L17-L17","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L18-L18","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L73-L77","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","doc":"Construct the code `fun p.decl k` or `jp p.decl k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L16-L20","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull","line":16,"kind":"structure","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull","doc":"Local function declaration and join point being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.PullM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L25-L25","name":"Lean.Compiler.LCNF.PullFunDecls.PullM","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.PullM","doc":"The `PullM` state contains the local function declarations and join points being 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"},"Lean.Compiler.LCNF.LambdaLifting.LiftM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L56-L56","name":"Lean.Compiler.LCNF.LambdaLifting.LiftM","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.LiftM","doc":"Monad for applying lambda lifting. "},"Lean.Compiler.LCNF.LambdaLifting.Context.suffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L26-L26","name":"Lean.Compiler.LCNF.LambdaLifting.Context.suffix","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.suffix","doc":"Suffix for the new auxiliary declarations being created. "},"Lean.Compiler.LCNF.LambdaLifting.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L1-L1","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mk","doc":""},"Lean.Compiler.LCNF.LambdaLifting.Context.minSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L41-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context.minSize","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.minSize","doc":"Only local functions with `size > minSize` are lambda lifted.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L31-L31","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","doc":"Declaration where lambda lifting is being applied.\nWe use it to provide the \"base name\" for auxiliary declarations and the flag `safe`.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L24-L24","name":"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","doc":"If `liftInstParamOnly` is `true`, then only local functions that take\nlocal instances as parameters are lambda lifted.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L36-L36","name":"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","doc":"If true, the lambda-lifted functions inherit the inline attribute from `mainDecl`.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L19-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context","line":19,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context","doc":"Context for the `LiftM` monad. "},"Lean.Compiler.LCNF.LCtx.toLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L63-L71","name":"Lean.Compiler.LCNF.LCtx.toLocalContext","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.toLocalContext","doc":"Convert a LCNF local context into a regular Lean local context.\n"},"Lean.Compiler.LCNF.LCtx.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L15-L15","name":"Lean.Compiler.LCNF.LCtx.params","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.params","doc":""},"Lean.Compiler.LCNF.LCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L1-L1","name":"Lean.Compiler.LCNF.LCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.mk","doc":""},"Lean.Compiler.LCNF.LCtx.letDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L16-L16","name":"Lean.Compiler.LCNF.LCtx.letDecls","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.letDecls","doc":""},"Lean.Compiler.LCNF.LCtx.funDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L17-L17","name":"Lean.Compiler.LCNF.LCtx.funDecls","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.funDecls","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L32-L33","name":"Lean.Compiler.LCNF.LCtx.eraseParams","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParams","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L29-L30","name":"Lean.Compiler.LCNF.LCtx.eraseParam","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParam","doc":""},"Lean.Compiler.LCNF.LCtx.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L35-L36","name":"Lean.Compiler.LCNF.LCtx.eraseLetDecl","line":35,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L39-L44","name":"Lean.Compiler.LCNF.LCtx.eraseFunDecl","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L52-L57","name":"Lean.Compiler.LCNF.LCtx.eraseCode","line":52,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseCode","doc":""},"Lean.Compiler.LCNF.LCtx.eraseAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L46-L50","name":"Lean.Compiler.LCNF.LCtx.eraseAlts","line":46,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseAlts","doc":""},"Lean.Compiler.LCNF.LCtx.addParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L20-L21","name":"Lean.Compiler.LCNF.LCtx.addParam","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addParam","doc":""},"Lean.Compiler.LCNF.LCtx.addLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L23-L24","name":"Lean.Compiler.LCNF.LCtx.addLetDecl","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.addFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L26-L27","name":"Lean.Compiler.LCNF.LCtx.addFunDecl","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L14-L18","name":"Lean.Compiler.LCNF.LCtx","line":14,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx","doc":"LCNF local context.\n"},"Lean.Compiler.LCNF.JoinPointFinder.replace.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L183-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace.go","line":183,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L177-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace","line":177,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace","doc":"Replace all join point candidate `fun` declarations with `jp` ones\nand all calls to them with `jmp`s.\n"},"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L32-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L138-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find.go","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L134-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find","line":134,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find","doc":"Find all `fun` declarations that qualify as a join point, that is:\n- are always fully applied\n- are always called in tail position\n\nWhere a `fun` `f` is in tail position iff it is called as follows:\n```\nlet res := f arg\nres\n```\nThe majority (if not all) tail calls will be brought into this form\nby the simplifier pass.\n\nFurthermore a `fun` disqualifies as a join point if turning it into a join\npoint would turn a call to it into an out of scope join point.\nThis can happen if we have something like:\n```\ndef test (b : Bool) (x y : Nat) : Nat :=\n fun myjp x => Nat.add x (Nat.add x x)\n fun f y =>\n let x := Nat.add y y\n myjp x\n fun f y =>\n let x := Nat.mul y y\n myjp x\n cases b (f x) (g y)\n```\n`f` and `g` can be detected as a join point right away, however\n`myjp` can only ever be detected as a join point after we have established\nthis. This is because otherwise the calls to `myjp` in `f` and `g` would\nproduce out of scope join point jumps.\n"},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L51-L51","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L48-L48","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L46-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","doc":"The `FVarId`s of all `fun` declarations that were declared within the\ncurrent `fun`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L41-L41","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","doc":"All current join point candidates accessible by their `FVarId`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L37-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState","line":37,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState","doc":"The state for the join point candidate finder.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L50-L50","name":"Lean.Compiler.LCNF.JoinPointFinder.FindM","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L31-L31","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","doc":"The set of candidates that rely on this candidate to be a join point.\nFor a more detailed explanation see the documentation of `find`\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L26-L26","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","doc":"The arity of the candidate\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L22-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","doc":"Info about a join point candidate (a `fun` declaration) during the find phase.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L360-L365","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","doc":"We call this whenever we enter a new join point. It will set the current\njoin point and extend the list of candidates by all of the parameters of\nthe join point. This is so in the case of nested join points that refer\nto parameters of the current one we extend the context of the nested\njoin points by said parameters.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L348-L351","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","line":348,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","doc":"We call this whenever we enter a new local function. It clears both the\ncurrent join point and the list of candidates since we cant lift join\npoints outside of functions as explained in `mergeJpContextIfNecessary`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L283-L293","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","line":283,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","doc":"Same as `withNewCandidate` but with multiple `FVarId`s.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L272-L278","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","doc":"Add a new candidate to the current scope + to the list of candidates\nif we are currently within a join point. Then execute `x`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L373-L376","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","line":373,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","doc":"We call this whenever we visit a new arm of a cases statement.\nIt will back up the current scope (since we are doing a case split\nand want to continue with other arms afterwards) and add all of the\nparameters of the match arm to the list of candidates.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L261-L266","name":"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","doc":"Replace a free variable if necessary, that is:\n- It is in the list of candidates\n- We are currently within a join point (if we are within a function there\n cannot be a need to replace them since we dont extend their context)\n- Said join point actually has a replacement parameter registered.\notherwise just return `fvar`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L337-L341","name":"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","line":337,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","doc":"Merge the extended context of two join points if necessary. That is\nif we have a structure such as:\n```\njp j.1 ... =>\n jp j.2 .. =>\n ...\n ...\n```\nAnd we are just done visiting `j.2` we want to extend the context of\n`j.1` by all free variables that the context of `j.2` was extended by\nas well because we need to drag these variables through at the call sites\nof `j.2` in `j.1`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L313-L321","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","line":313,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","doc":"Extend the context of the current join point (if we are within one)\nby `fvar` if necessary.\nThis is necessary if:\n- `fvar` is not in scope (that is, was declared outside of the current jp)\n- we have not already extended the context by `fvar`\n- the list of candidates contains `fvar`. This is because if we have something\n like:\n ```\n let x := ..\n fun f a =>\n jp j b =>\n let y := x\n y\n ```\n There is no point in extending the context of `j` by `x` because we\n cannot lift a join point outside of a local function declaration.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L395-L397","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","line":395,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L398-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L390-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend","line":390,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend","doc":"Use all of the above functions to find free variables declared outside\nof join points that said join points can be reasonaly extended by. Reasonable\nmeaning that in case the current join point is nested within a function\ndeclaration we will not extend it by free variables declared before the\nfunction declaration because we cannot lift join points outside of function\ndeclarations.\n\nAll of this is done to eliminate dependencies of join points onto their\nposition within the code so we can pull them out as far as possible, hopefully\nenabling new inlining possibilities in the next simplifier run.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L246-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","line":246,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","doc":"A map from join point `FVarId`s to a respective map from free variables\nto `Param`s. The free variables in this map are the once that the context\nof said join point will be extended by by passing in the respective parameter.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L240-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","line":240,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","doc":"The state managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L251-L251","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","line":251,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","doc":"The monad for the `extendJoinPointContext` pass.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L229-L229","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","doc":"The `FVarId` of the current join point if we are currently inside one.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L235-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","line":235,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","doc":"The list of valid candidates for extending the context. This will be\nall `let` and `fun` declarations as well as all `jp` parameters up\nuntil the last `fun` declaration in the tree.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L225-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","line":225,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","doc":"The context managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L561-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","line":561,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L516-L519","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","line":516,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L521-L559","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","line":521,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L511-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","line":511,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","doc":"Take a look at each join point and each of their call sites. If all\ncall sites of a join point have one or more arguments in common, for example:\n```\njp _jp.1 a b c => ...\n...\ncases foo\n| n1 => jmp _jp.1 d e f\n| n2 => jmp _jp.1 g e h\n```\nWe can get rid of the common argument in favour of inlining it directly\ninto the join point (in this case the `e`). This reduces the amount of\narguments we have to pass around drastically for example in `ReaderT` based\nmonad stacks.\n\nNote 1: This transformation can in certain niche cases obtain better results.\nFor example:\n```\njp foo a b => ..\nlet x := ...\ncases discr\n| n1 => jmp foo x y\n| n2 => jmp foo x z\n```\nHere we will not collapse the `x` since it is defined after the join point `foo`\nand thus not accessible for substitution yet. We could however reorder the code in\nsuch a way that this is possible, this is currently not done since we observe\nthan in praxis most of the applications of this transformation can occur naturally\nwithout reordering.\n\nNote 2: This transformation is kind of the opposite of `JoinPointContextExtender`.\nHowever we still benefit from the extender because in the `simp` run after it\nwe might be able to pull join point declarations further up in the hierarchy\nof nested functions/join points which in turn might enable additional optimizations.\nAfter we have performed all of these optimizations we can take away the\n(remaining) common arguments and end up with nicely floated and optimized\ncode that has as little arguments as possible in the join points.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L468-L469","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","line":468,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L465-L465","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","line":465,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L466-L466","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L463-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","line":463,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","doc":"A map, that for each join point id contains a map from all (so far)\nduplicated argument ids to the respective duplicate value\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L458-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","line":458,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","doc":"State for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L453-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","line":453,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","doc":"The variables that are in scope at the time of the definition of\nthe join point.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L448-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","line":448,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","doc":"Context for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.Internalize.internalizeParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L40-L46","name":"Lean.Compiler.LCNF.Internalize.internalizeParam","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeParam","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L48-L55","name":"Lean.Compiler.LCNF.Internalize.internalizeLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeLetDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L59-L67","name":"Lean.Compiler.LCNF.Internalize.internalizeFunDecl","line":59,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeFunDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L89-L93","name":"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L69-L85","name":"Lean.Compiler.LCNF.Internalize.internalizeCode","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCode","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L32-L33","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L29-L30","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","line":29,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","doc":"The 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context.\n"},"Lean.Compiler.LCNF.FloatLetIn.instReprDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instReprDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instReprDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialNewArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L149-L152","name":"Lean.Compiler.LCNF.FloatLetIn.initialNewArms","line":149,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialNewArms","doc":"Compute the initial new arms. This will just set up a map from all arms of\n`cs` to empty `Array`s, plus one additional entry for `dont`.\n"},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L132-L137","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L142-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","line":142,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L140-L141","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","line":140,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L118-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions","doc":"Compute the initial decision for all declarations that `BaseFloatM` collected\nup to this point, with respect to `cs`. The initial decisions are:\n- `dont` if the declaration is detected by `ignore?`\n- `dont` if the declaration is the discriminant of `cs` since we obviously need\n the discriminant to be computed before the match.\n- `dont` if we see the declaration being used in more than one cases arm\n- `arm` or `default` if we see the declaration only being used in exactly one cases arm\n- `unknown` otherwise\n"},"Lean.Compiler.LCNF.FloatLetIn.ignore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L100-L106","name":"Lean.Compiler.LCNF.FloatLetIn.ignore?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.ignore?","doc":"Whether to ignore `decl` for the floating mechanism. We want to do this if:\n- `decl`' is storing a typeclass instance\n- `decl` is a projection from a variable that is storing a typeclass instance\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L249-L261","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","line":249,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","doc":"Iterate through the collected declarations,\ndetermining from the bottom up whether they (and the declarations they refer to)\nshould get moved down into the arms of the cases statement or not.\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L263-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","line":263,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","doc":""},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L240-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn","doc":"Iterate throgh `decl`, pushing local declarations that are only used in one\ncontrol flow arm into said arm in order to avoid useless computations.\n"},"Lean.Compiler.LCNF.FloatLetIn.float.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L229-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float.goFVar","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L224-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float","doc":"Will:\n- put `decl` into the arm it is marked to be moved into\n- for any variables that might occur in `decl` and are of interest:\n - if they are already meant to be floated into the same arm or not at all leave them untouched:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => x * y\n | m => z\n ```\n If we are at `y` `x` is alreayd marked to be floated into `n` as well.\n - if there hasn't be a decision yet, that is they are marked with `.unknown` we float\n them into the same arm as the current value:\n ```\n let x := ..\n let y := x + 2\n cases z with\n | n => y\n | m => z\n ```\n Here `x` is initially marked as `.unknown` since it occurs in no branch, however\n since we want to move `y` into the `n` branch we can also decide to move `x`\n into the `n` branch. Note that this decision might be revoked later on in the case of:\n ```\n let x := ..\n let a := x + 1\n let y := x + 2\n cases z with\n | n => y\n | m => a\n ```\n When we visit `a` `x` is now marked as getting moved into `n` but since it also occurs\n in `a` which wants to be moved somewhere else we will instead decide to not move `x`\n at all.\n - if they are meant to be floated somewhere else decide that they wont get floated:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => y\n | m => x\n ```\n If we are at `y` `x` is still marked to be moved but we don't want that.\n"},"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L174-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.dontFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L170-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat","line":170,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat","doc":"Will:\n- put `decl` into the `dont` arm\n- decide that any free variable that occurs in `decl` and is a declaration\n of interest as not getting moved either.\n```\nlet x := ...\nlet y := ...\nlet z := x + y\ncases z with\n| n => z * x\n| m => z * y\n```\nHere `x` and `y` are originally marked as getting floated into `n` and `m`\nrespectively but since `z` can't be moved we don't want that to move `x` and `y`.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L69-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","doc":"A map from decisions (excluding `unknown`) to the declarations with\nthese decisions (in correct order). Basically:\n- Which declarations do we not move\n- Which declarations do we move into a certain arm\n- Which declarations do we move into the default arm\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L61-L61","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","line":61,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","doc":"A map from identifiers of declarations to their current decision.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L57-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState","line":57,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState","doc":"The state for `FloatM`\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L79-L79","name":"Lean.Compiler.LCNF.FloatLetIn.FloatM","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatM","doc":"Use to compute the actual floating.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L33-L37","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","line":33,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","doc":"No decision has been made yet.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L40-L42","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.Decision.dont":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L28-L32","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.dont","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.dont","doc":"Dont move this declaration it is needed where it is right now.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L24-L27","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.default","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.default","doc":"Push into the default arm.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.arm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L19-L23","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.arm","line":19,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.arm","doc":"Push into the arm with name `name`.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L18-L38","name":"Lean.Compiler.LCNF.FloatLetIn.Decision","line":18,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision","doc":"The decision of the float mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L74-L74","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","doc":"Use to collect relevant declarations for the floating mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L52-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","doc":"All the declarations that were collected in the current LCNF basic\nblock up to the current statement (in reverse order for efficiency).\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L47-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","line":47,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","doc":"The context for 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Note that this is an erased LCNF type\ninstead of the fully dependent one that might have been the original\ntype of the declaration in the `Environment`.\n"},"Lean.Compiler.LCNF.Decl.toMono.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L138-L144","name":"Lean.Compiler.LCNF.Decl.toMono.go","line":138,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono.go","doc":""},"Lean.Compiler.LCNF.Decl.toMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L135-L144","name":"Lean.Compiler.LCNF.Decl.toMono","line":135,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono","doc":""},"Lean.Compiler.LCNF.Decl.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToExpr.lean#L112-L113","name":"Lean.Compiler.LCNF.Decl.toExpr","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToExpr.html#Lean.Compiler.LCNF.Decl.toExpr","doc":""},"Lean.Compiler.LCNF.Decl.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L332-L334","name":"Lean.Compiler.LCNF.Decl.specialize","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Decl.specialize","doc":""},"Lean.Compiler.LCNF.Decl.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L498-L499","name":"Lean.Compiler.LCNF.Decl.size","line":498,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.size","doc":""},"Lean.Compiler.LCNF.Decl.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L23-L38","name":"Lean.Compiler.LCNF.Decl.simp?","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp?","doc":""},"Lean.Compiler.LCNF.Decl.simp.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L69-L74","name":"Lean.Compiler.LCNF.Decl.simp.go","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp.go","doc":""},"Lean.Compiler.LCNF.Decl.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L40-L74","name":"Lean.Compiler.LCNF.Decl.simp","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp","doc":""},"Lean.Compiler.LCNF.Decl.setLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Level.lean#L150-L152","name":"Lean.Compiler.LCNF.Decl.setLevelParams","line":150,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.Decl.setLevelParams","doc":"Collect universe level parameters collecting in the type, parameters, and value, and then\nset `decl.levelParams` with the resulting value.\n"},"Lean.Compiler.LCNF.Decl.saveMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L59-L60","name":"Lean.Compiler.LCNF.Decl.saveMono","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveMono","doc":""},"Lean.Compiler.LCNF.Decl.saveBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L56-L57","name":"Lean.Compiler.LCNF.Decl.saveBase","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveBase","doc":""},"Lean.Compiler.LCNF.Decl.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L62-L66","name":"Lean.Compiler.LCNF.Decl.save","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.save","doc":""},"Lean.Compiler.LCNF.Decl.safe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L490-L490","name":"Lean.Compiler.LCNF.Decl.safe","line":490,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.safe","doc":"We set this flag to false during LCNF conversion if the Lean function\nassociated with this function was tagged as partial or unsafe. This\ninformation affects how static analyzers treat function applications\nof this kind. See `DefinitionSafety`.\n`partial` and `unsafe` functions may not be terminating, but Lean\nfunctions terminate, and some static analyzers exploit this\nfact. So, we use the following semantics. Suppose whe hav a (large) natural\nnumber `C`. We consider a nondeterministic model for computation of Lean expressions as\nfollows:\nEach call to a partial/unsafe function uses up one \"recursion token\".\nPrior to consuming `C` recursion tokens all partial functions must be called\nas normal. Once the model has used up `C` recursion tokens, a subsequent call to\na partial function has the following nondeterministic options: it can either call\nthe function again, or return any value of the target type (even a noncomputable one).\nLarger values of `C` yield less nondeterminism in the model, but even the intersection of\nall choices of `C` yields nondeterminism where `def loop : A := loop` returns any value of type `A`.\nThe compiler fixes a choice for `C`. This is a fixed constant greater than 2^2^64,\nwhich is allowed to be compiler and architecture dependent, and promises that it will\nproduce an execution consistent with every possible nondeterministic outcome of the `C`-model.\nIn the event that different nondeterministic executions disagree, the compiler is required to\nexhaust resources or output a looping computation.\n"},"Lean.Compiler.LCNF.Decl.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L69-L71","name":"Lean.Compiler.LCNF.Decl.reduceJpArity","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.Decl.reduceJpArity","doc":"Try to reduce arity of join points\n"},"Lean.Compiler.LCNF.Decl.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L147-L178","name":"Lean.Compiler.LCNF.Decl.reduceArity","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.Decl.reduceArity","doc":""},"Lean.Compiler.LCNF.Decl.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L466-L466","name":"Lean.Compiler.LCNF.Decl.recursive","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.recursive","doc":"We set this flag to true during LCNF conversion. When we receive\na block of functions to be compiled, we set this flag to `true`\nif there is an application to the function in the block containing\nit. This is an approximation, but it should be good enough because\nin the frontend, we invoke the compiler with blocks of strongly connected\ncomponents only.\nWe use this information to control inlining.\n"},"Lean.Compiler.LCNF.Decl.pullLetDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L95-L100","name":"Lean.Compiler.LCNF.Decl.pullLetDecls","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullLetDecls","doc":""},"Lean.Compiler.LCNF.Decl.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L102-L109","name":"Lean.Compiler.LCNF.Decl.pullInstances","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullInstances","doc":""},"Lean.Compiler.LCNF.Decl.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L173-L176","name":"Lean.Compiler.LCNF.Decl.pullFunDecls","line":173,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.Decl.pullFunDecls","doc":"Pull local function declarations and join points in the given declaration.\n"},"Lean.Compiler.LCNF.Decl.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L451-L451","name":"Lean.Compiler.LCNF.Decl.params","line":451,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.params","doc":"Parameters.\n"},"Lean.Compiler.LCNF.Decl.noinlineAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L507-L508","name":"Lean.Compiler.LCNF.Decl.noinlineAttr","line":507,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.noinlineAttr","doc":""},"Lean.Compiler.LCNF.Decl.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L437-L437","name":"Lean.Compiler.LCNF.Decl.name","line":437,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.name","doc":"The name of the declaration from the `Environment` it came from\n"},"Lean.Compiler.LCNF.Decl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L1-L1","name":"Lean.Compiler.LCNF.Decl.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.mk","doc":""},"Lean.Compiler.LCNF.Decl.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L441-L441","name":"Lean.Compiler.LCNF.Decl.levelParams","line":441,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.levelParams","doc":"Universe level parameter names.\n"},"Lean.Compiler.LCNF.Decl.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L156-L158","name":"Lean.Compiler.LCNF.Decl.lambdaLifting","line":156,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.Decl.lambdaLifting","doc":""},"Lean.Compiler.LCNF.Decl.isTemplateLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L605-L613","name":"Lean.Compiler.LCNF.Decl.isTemplateLike","line":605,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isTemplateLike","doc":"Return `true` if `decl` is supposed to be inlined/specialized.\n"},"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L539-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","line":539,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","doc":""},"Lean.Compiler.LCNF.Decl.isCasesOnParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L536-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?","line":536,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?","doc":"Return `some i` if `decl` is of the form\n```\ndef f (a_0 ... a_i ...) :=\n ...\n cases a_i\n | ...\n | ...\n```\nThat is, `f` is a sequence of declarations followed by a `cases` on the parameter `i`.\nWe use this function to decide whether we should inline a declaration tagged with\n`[inline_if_reduce]` or 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That is, executes `c`, and then `f x`, where\n`x` is a variable that contains the result of `c`'s computation.\n\nIf `c` contains a jump to a join point `jp_i` not declared in `c`, we throw an exception because\nan invalid block would be generated. It would be invalid because `f` would not\nbe applied to `jp_i`. Note that, we could have decided to create a copy of `jp_i` where we apply `f` to it,\nby we decided to not do it to avoid code duplication.\n"},"Lean.Compiler.LCNF.Code.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L231-L231","name":"Lean.Compiler.LCNF.Code.beq","line":231,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.beq","doc":""},"Lean.Compiler.LCNF.Code.applyRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Renaming.lean#L39-L49","name":"Lean.Compiler.LCNF.Code.applyRenaming","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Code.applyRenaming","doc":""},"Lean.Compiler.LCNF.Code.alphaEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/AlphaEqv.lean#L133-L134","name":"Lean.Compiler.LCNF.Code.alphaEqv","line":133,"kind":"def","docLink":"./Lean/Compiler/LCNF/AlphaEqv.html#Lean.Compiler.LCNF.Code.alphaEqv","doc":"Return `true` if `c₁` and `c₂` are alpha equivalent.\n"},"Lean.Compiler.LCNF.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L154-L162","name":"Lean.Compiler.LCNF.Code","line":154,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code","doc":""},"Lean.Compiler.LCNF.Closure.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L148-L150","name":"Lean.Compiler.LCNF.Closure.run","line":148,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.run","doc":""},"Lean.Compiler.LCNF.Closure.markVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L65-L66","name":"Lean.Compiler.LCNF.Closure.markVisited","line":65,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.markVisited","doc":"Mark a free variable as already visited.\nWe perform a topological sort over the dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L143-L144","name":"Lean.Compiler.LCNF.Closure.collectType","line":143,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectType","doc":"Collect dependencies of the given expression. "},"Lean.Compiler.LCNF.Closure.collectParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L73-L74","name":"Lean.Compiler.LCNF.Closure.collectParams","line":73,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectParams","doc":"Collect dependencies in parameters. We need this because parameters may\ncontain other type parameters.\n"},"Lean.Compiler.LCNF.Closure.collectLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L82-L87","name":"Lean.Compiler.LCNF.Closure.collectLetValue","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectLetValue","doc":""},"Lean.Compiler.LCNF.Closure.collectFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L109-L112","name":"Lean.Compiler.LCNF.Closure.collectFunDecl","line":109,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFunDecl","doc":"Collect dependencies of a local function declaration. "},"Lean.Compiler.LCNF.Closure.collectFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L118-L140","name":"Lean.Compiler.LCNF.Closure.collectFVar","line":118,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFVar","doc":"Process the given free variable.\nIf it has not already been visited and is in scope, we collect its dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L93-L106","name":"Lean.Compiler.LCNF.Closure.collectCode","line":93,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectCode","doc":"Collect dependencies in the given code. We need this function to be able\nto collect dependencies in a local function declaration.\n"},"Lean.Compiler.LCNF.Closure.collectArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L76-L80","name":"Lean.Compiler.LCNF.Closure.collectArg","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectArg","doc":""},"Lean.Compiler.LCNF.Closure.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L39-L39","name":"Lean.Compiler.LCNF.Closure.State.visited","line":39,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.visited","doc":"Set of already visited free variables.\n"},"Lean.Compiler.LCNF.Closure.State.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L43-L43","name":"Lean.Compiler.LCNF.Closure.State.params","line":43,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.params","doc":"Free variables that must become new parameters of the code being specialized.\n"},"Lean.Compiler.LCNF.Closure.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L1-L1","name":"Lean.Compiler.LCNF.Closure.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.mk","doc":""},"Lean.Compiler.LCNF.Closure.State.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L54-L54","name":"Lean.Compiler.LCNF.Closure.State.decls","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.decls","doc":"Let-declarations and local function declarations that are going to be \"copied\" to the code\nbeing processed. For example, when this module is used in the code specializer, the let-declarations\noften contain the instance values. In the current specialization heuristic all let-declarations are ground values\n(i.e., they do not contain free-variables).\nHowever, local function declarations may contain free variables.\n\nAll customers of this module try to avoid work duplication. 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"},"Lake.getLeanLibDir":{"sourceLink":"https://example.com#L148-L149","name":"Lake.getLeanLibDir","line":148,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanLibDir","doc":"Get the Lean library directory of the detected Lean installation. "},"Lake.getLeanInstall":{"sourceLink":"https://example.com#L136-L137","name":"Lake.getLeanInstall","line":136,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanInstall","doc":"Get the detected Lean installation. "},"Lake.getLeanIncludeDir":{"sourceLink":"https://example.com#L152-L153","name":"Lake.getLeanIncludeDir","line":152,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanIncludeDir","doc":"Get the C include directory of the detected Lean installation. "},"Lake.getLeanCc?":{"sourceLink":"https://example.com#L180-L181","name":"Lake.getLeanCc?","line":180,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc?","doc":"Get the optional `LEAN_CC` compiler override of the detected Lean installation. "},"Lake.getLeanCc":{"sourceLink":"https://example.com#L176-L177","name":"Lake.getLeanCc","line":176,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc","doc":"Get the path of C compiler in the detected Lean installation. "},"Lake.getLeanAr":{"sourceLink":"https://example.com#L172-L173","name":"Lake.getLeanAr","line":172,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanAr","doc":"Get the path of the `ar` binary in the detected Lean installation. "},"Lake.getLean":{"sourceLink":"https://example.com#L160-L161","name":"Lake.getLean","line":160,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLean","doc":"Get the path of the `lean` binary in the detected Lean installation. "},"Lake.getLakeSrcDir":{"sourceLink":"https://example.com#L194-L195","name":"Lake.getLakeSrcDir","line":194,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeSrcDir","doc":"Get the source directory of the detected Lake installation. "},"Lake.getLakeLibDir":{"sourceLink":"https://example.com#L198-L199","name":"Lake.getLakeLibDir","line":198,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeLibDir","doc":"Get the Lean library directory of the detected Lake installation. "},"Lake.getLakeInstall":{"sourceLink":"https://example.com#L186-L187","name":"Lake.getLakeInstall","line":186,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeInstall","doc":"Get the detected Lake installation. "},"Lake.getLakeHome":{"sourceLink":"https://example.com#L190-L191","name":"Lake.getLakeHome","line":190,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeHome","doc":"Get the root directory of the detected Lake installation (e.g., `LAKE_HOME`). "},"Lake.getLakeEnv":{"sourceLink":"https://example.com#L116-L117","name":"Lake.getLakeEnv","line":116,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeEnv","doc":""},"Lake.getLake":{"sourceLink":"https://example.com#L202-L203","name":"Lake.getLake","line":202,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLake","doc":"Get the path of the `lake` binary in the detected Lake installation. "},"Lake.getIsVerbose":{"sourceLink":"https://example.com#L32-L33","name":"Lake.getIsVerbose","line":32,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsVerbose","doc":""},"Lake.getIsQuiet":{"sourceLink":"https://example.com#L35-L36","name":"Lake.getIsQuiet","line":35,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsQuiet","doc":""},"Lake.getIsOldMode":{"sourceLink":"https://example.com#L26-L27","name":"Lake.getIsOldMode","line":26,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.getIsOldMode","doc":""},"Lake.getFileMTime":{"sourceLink":"https://example.com#L199-L200","name":"Lake.getFileMTime","line":199,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.getFileMTime","doc":""},"Lake.getEnvSharedLibPath":{"sourceLink":"https://example.com#L130-L131","name":"Lake.getEnvSharedLibPath","line":130,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvSharedLibPath","doc":"Get the detected `sharedLibPathEnvVar` value of the Lake environment. "},"Lake.getEnvLeanSrcPath":{"sourceLink":"https://example.com#L126-L127","name":"Lake.getEnvLeanSrcPath","line":126,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanSrcPath","doc":"Get the detected `LEAN_SRC_PATH` value of the Lake environment. "},"Lake.getEnvLeanPath":{"sourceLink":"https://example.com#L122-L123","name":"Lake.getEnvLeanPath","line":122,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanPath","doc":"Get the detected `LEAN_PATH` value of the Lake environment. "},"Lake.getBinderIds":{"sourceLink":"https://example.com#L72-L78","name":"Lake.getBinderIds","line":72,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.getBinderIds","doc":""},"Lake.getAugmentedSharedLibPath":{"sourceLink":"https://example.com#L102-L103","name":"Lake.getAugmentedSharedLibPath","line":102,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedSharedLibPath","doc":"Get the augmented shared library path set by the context's workspace. "},"Lake.getAugmentedLeanSrcPath":{"sourceLink":"https://example.com#L98-L99","name":"Lake.getAugmentedLeanSrcPath","line":98,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanSrcPath","doc":"Get the augmented `LEAN_SRC_PATH` set by the context's workspace. "},"Lake.getAugmentedLeanPath":{"sourceLink":"https://example.com#L94-L95","name":"Lake.getAugmentedLeanPath","line":94,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanPath","doc":"Get the augmented `LEAN_PATH` set by the context's workspace. "},"Lake.getAugmentedEnv":{"sourceLink":"https://example.com#L106-L107","name":"Lake.getAugmentedEnv","line":106,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedEnv","doc":"Get the augmented environment variables set by the context's workspace. "},"Lake.forEachModuleIn":{"sourceLink":"https://example.com#L26-L35","name":"Lake.forEachModuleIn","line":26,"kind":"opaque","docLink":"./Lake/Config/Glob.html#Lake.forEachModuleIn","doc":""},"Lake.foldRightListAsync":{"sourceLink":"https://example.com#L262-L263","name":"Lake.foldRightListAsync","line":262,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightListAsync","doc":"Fold a `List` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldRightArrayAsync":{"sourceLink":"https://example.com#L266-L267","name":"Lake.foldRightArrayAsync","line":266,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldLeftListAsync":{"sourceLink":"https://example.com#L254-L255","name":"Lake.foldLeftListAsync","line":254,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftListAsync","doc":"Fold a `List` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.foldLeftArrayAsync":{"sourceLink":"https://example.com#L258-L259","name":"Lake.foldLeftArrayAsync","line":258,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.findPackage?":{"sourceLink":"https://example.com#L62-L63","name":"Lake.findPackage?","line":62,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.findModule?":{"sourceLink":"https://example.com#L66-L67","name":"Lake.findModule?","line":66,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.findLeanSysroot?":{"sourceLink":"https://example.com#L85-L95","name":"Lake.findLeanSysroot?","line":85,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanSysroot?","doc":"Try to find the sysroot of the given `lean` command (if it exists)\nby calling `lean --print-prefix` and returning the path it prints.\nDefaults to trying the `lean` in `PATH`.\n"},"Lake.findLeanLib?":{"sourceLink":"https://example.com#L74-L75","name":"Lake.findLeanLib?","line":74,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.findLeanInstall?":{"sourceLink":"https://example.com#L187-L192","name":"Lake.findLeanInstall?","line":187,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanInstall?","doc":"Try to find Lean's installation by first checking the\n`LEAN_SYSROOT` environment variable and then by trying `findLeanCmdHome?`.\nSee `LeanInstall.get` for how it assumes the Lean install is organized.\n"},"Lake.findLeanExe?":{"sourceLink":"https://example.com#L70-L71","name":"Lake.findLeanExe?","line":70,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.findLeanCmdInstall?":{"sourceLink":"https://example.com#L160-L161","name":"Lake.findLeanCmdInstall?","line":160,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanCmdInstall?","doc":"Try to find the installation of the given `lean` command\nby calling `findLeanCmdHome?`. See `LeanInstall.get` for how it assumes the\nLean install is organized.\n"},"Lake.findLakeLeanJointHome?":{"sourceLink":"https://example.com#L167-L173","name":"Lake.findLakeLeanJointHome?","line":167,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeLeanJointHome?","doc":"Check if Lake's executable is co-located with Lean, and, if so,\ntry to return their joint home by assuming they are both located at `/bin`.\n"},"Lake.findLakeInstall?":{"sourceLink":"https://example.com#L204-L210","name":"Lake.findLakeInstall?","line":204,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeInstall?","doc":"Try to find Lake's installation by\nfirst checking the `LAKE_HOME` environment variable\nand then by trying the `lakePackageHome?` of the running executable.\n\nIt assumes that the Lake installation is organized the same way it is built.\nThat is, with its binary located at `/build/bin/lake` and its static\nlibrary and `.olean` files in `/build/lib`, and its source files\nlocated directly in ``.\n"},"Lake.findInstall?":{"sourceLink":"https://example.com#L225-L239","name":"Lake.findInstall?","line":225,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findInstall?","doc":"Try to get Lake's install path by first trying `findLakeLeanHome?`\nthen by running `findLeanInstall?` and `findLakeInstall?`.\n\nIf Lake is co-located with `lean` (i.e., there is `lean` executable\nin the same directory as itself), it will assume it was installed with\nLean and that both Lake's and Lean's files are all located their shared\nsysroot.\nIn particular, their binaries are located in `/bin`,\ntheir Lean libraries in `/lib/lean`,\nLean's source files in `/src/lean`,\nand Lake's source files in `/src/lean/lake`.\n"},"Lake.findExternLib?":{"sourceLink":"https://example.com#L78-L79","name":"Lake.findExternLib?","line":78,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.fetchOrCreate":{"sourceLink":"https://example.com#L31-L38","name":"Lake.fetchOrCreate","line":31,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.fetchOrCreate","doc":""},"Lake.familyDef":{"sourceLink":"https://example.com#L169-L178","name":"Lake.familyDef","line":169,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.familyDef","doc":"The syntax:\n\n```lean\nfamily_def foo : Fam 0 := Nat\n```\n\nDeclares a new mapping for the open type family `Fam` type via the\nproduction of an axiom `Fam.foo : Data 0 = Nat` and an instance of `FamilyDef`\nthat uses this axiom for key `0`.\n"},"Lake.failOnBuildCycle":{"sourceLink":"https://example.com#L29-L33","name":"Lake.failOnBuildCycle","line":29,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.failOnBuildCycle","doc":""},"Lake.externLibAttr":{"sourceLink":"https://example.com#L32-L33","name":"Lake.externLibAttr","line":32,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.externLibAttr","doc":""},"Lake.expandOptType":{"sourceLink":"https://example.com#L66-L70","name":"Lake.expandOptType","line":66,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptType","doc":""},"Lake.expandOptIdent":{"sourceLink":"https://example.com#L85-L86","name":"Lake.expandOptIdent","line":85,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptIdent","doc":""},"Lake.expandBinders":{"sourceLink":"https://example.com#L152-L160","name":"Lake.expandBinders","line":152,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinders","doc":""},"Lake.expandBinderType":{"sourceLink":"https://example.com#L88-L89","name":"Lake.expandBinderType","line":88,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderType","doc":""},"Lake.expandBinderModifier":{"sourceLink":"https://example.com#L91-L95","name":"Lake.expandBinderModifier","line":91,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderModifier","doc":""},"Lake.expandBinderIdent":{"sourceLink":"https://example.com#L80-L83","name":"Lake.expandBinderIdent","line":80,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderIdent","doc":""},"Lake.exitIfErrorCode":{"sourceLink":"https://example.com#L20-L21","name":"Lake.exitIfErrorCode","line":20,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.exitIfErrorCode","doc":"Exit with `ExitCode` if it is not 0. Otherwise, continue. "},"Lake.exe":{"sourceLink":"https://example.com#L13-L19","name":"Lake.exe","line":13,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.exe","doc":""},"Lake.evalTerm":{"sourceLink":"https://example.com#L15-L15","name":"Lake.evalTerm","line":15,"kind":"opaque","docLink":"./Lake/Util/EvalTerm.html#Lake.evalTerm","doc":""},"Lake.eq_of_compareOfLessAndEq":{"sourceLink":"https://example.com#L51-L56","name":"Lake.eq_of_compareOfLessAndEq","line":51,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.eq_of_compareOfLessAndEq","doc":""},"Lake.env":{"sourceLink":"https://example.com#L10-L11","name":"Lake.env","line":10,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.env","doc":""},"Lake.drbmapOf":{"sourceLink":"https://example.com#L148-L149","name":"Lake.drbmapOf","line":148,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.drbmapOf","doc":""},"Lake.download":{"sourceLink":"https://example.com#L79-L90","name":"Lake.download","line":79,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.download","doc":"Download a file using `curl`, clobbering any existing file. "},"Lake.doElemTry_Else_":{"sourceLink":"https://example.com#L11-L12","name":"Lake.doElemTry_Else_","line":11,"kind":"def","docLink":"./Lake/Util/Sugar.html#Lake.doElemTry_Else_","doc":""},"Lake.dirExt":{"sourceLink":"https://example.com#L13-L14","name":"Lake.dirExt","line":13,"kind":"opaque","docLink":"./Lake/DSL/Extensions.html#Lake.dirExt","doc":""},"Lake.defaultTargetAttr":{"sourceLink":"https://example.com#L38-L47","name":"Lake.defaultTargetAttr","line":38,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultTargetAttr","doc":""},"Lake.defaultScriptAttr":{"sourceLink":"https://example.com#L20-L24","name":"Lake.defaultScriptAttr","line":20,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultScriptAttr","doc":""},"Lake.defaultPackagesDir":{"sourceLink":"https://example.com#L11-L11","name":"Lake.defaultPackagesDir","line":11,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.defaultPackagesDir","doc":"The default setting for a `WorkspaceConfig`'s `packagesDir` option. "},"Lake.defaultNativeLibDir":{"sourceLink":"https://example.com#L64-L64","name":"Lake.defaultNativeLibDir","line":64,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultNativeLibDir","doc":"The default setting for a `PackageConfig`'s `nativeLibDir` option. "},"Lake.defaultManifestFile":{"sourceLink":"https://example.com#L55-L55","name":"Lake.defaultManifestFile","line":55,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultManifestFile","doc":"The default setting for a `PackageConfig`'s `manifestFile` option. "},"Lake.defaultLeanLibDir":{"sourceLink":"https://example.com#L61-L61","name":"Lake.defaultLeanLibDir","line":61,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultLeanLibDir","doc":"The default setting for a `PackageConfig`'s `leanLibDir` option. "},"Lake.defaultIrDir":{"sourceLink":"https://example.com#L70-L70","name":"Lake.defaultIrDir","line":70,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultIrDir","doc":"The default setting for a `PackageConfig`'s `irDir` option. "},"Lake.defaultBuildDir":{"sourceLink":"https://example.com#L58-L58","name":"Lake.defaultBuildDir","line":58,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBuildDir","doc":"The default setting for a `PackageConfig`'s `buildDir` option. "},"Lake.defaultBinDir":{"sourceLink":"https://example.com#L67-L67","name":"Lake.defaultBinDir","line":67,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBinDir","doc":"The default setting for a `PackageConfig`'s `binDir` option. "},"Lake.declareOpaqueType":{"sourceLink":"https://example.com#L19-L29","name":"Lake.declareOpaqueType","line":19,"kind":"def","docLink":"./Lake/Util/Opaque.html#Lake.declareOpaqueType","doc":""},"Lake.customDataDecl":{"sourceLink":"https://example.com#L125-L131","name":"Lake.customDataDecl","line":125,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.customDataDecl","doc":"Macro for declaring new `CustomData`. "},"Lake.crlf2lf.go":{"sourceLink":"https://example.com#L144-L155","name":"Lake.crlf2lf.go","line":144,"kind":"opaque","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf.go","doc":""},"Lake.crlf2lf":{"sourceLink":"https://example.com#L141-L155","name":"Lake.crlf2lf","line":141,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf","doc":"This is the same as `String.replace text \"\\r\\n\" \"\\n\"`, but more efficient. "},"Lake.createParentDirs":{"sourceLink":"https://example.com#L60-L61","name":"Lake.createParentDirs","line":60,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.createParentDirs","doc":""},"Lake.computeTrace":{"sourceLink":"https://example.com#L31-L32","name":"Lake.computeTrace","line":31,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeTrace","doc":""},"Lake.computeListTrace":{"sourceLink":"https://example.com#L62-L63","name":"Lake.computeListTrace","line":62,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeListTrace","doc":""},"Lake.computeHash":{"sourceLink":"https://example.com#L124-L125","name":"Lake.computeHash","line":124,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeHash","doc":""},"Lake.computeFileHash":{"sourceLink":"https://example.com#L129-L130","name":"Lake.computeFileHash","line":129,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeFileHash","doc":""},"Lake.computeDynlibOfShared":{"sourceLink":"https://example.com#L106-L117","name":"Lake.computeDynlibOfShared","line":106,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.computeDynlibOfShared","doc":""},"Lake.computeArrayTrace":{"sourceLink":"https://example.com#L67-L68","name":"Lake.computeArrayTrace","line":67,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeArrayTrace","doc":""},"Lake.compileStaticLib":{"sourceLink":"https://example.com#L51-L58","name":"Lake.compileStaticLib","line":51,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileStaticLib","doc":""},"Lake.compileSharedLib":{"sourceLink":"https://example.com#L60-L67","name":"Lake.compileSharedLib","line":60,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileSharedLib","doc":""},"Lake.compileO":{"sourceLink":"https://example.com#L42-L49","name":"Lake.compileO","line":42,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileO","doc":""},"Lake.compileLeanModule":{"sourceLink":"https://example.com#L13-L40","name":"Lake.compileLeanModule","line":13,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileLeanModule","doc":""},"Lake.compileExe":{"sourceLink":"https://example.com#L69-L76","name":"Lake.compileExe","line":69,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileExe","doc":""},"Lake.compareOfLessAndEq_rfl":{"sourceLink":"https://example.com#L58-L60","name":"Lake.compareOfLessAndEq_rfl","line":58,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.compareOfLessAndEq_rfl","doc":""},"Lake.cmp_iff_eq":{"sourceLink":"https://example.com#L29-L30","name":"Lake.cmp_iff_eq","line":29,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.cmp_iff_eq","doc":""},"Lake.checkIfNewer":{"sourceLink":"https://example.com#L206-L207","name":"Lake.checkIfNewer","line":206,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.checkIfNewer","doc":"Check if the info's `MTIme` is at least `depMTime`. "},"Lake.captureProc?":{"sourceLink":"https://example.com#L55-L61","name":"Lake.captureProc?","line":55,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc?","doc":""},"Lake.captureProc":{"sourceLink":"https://example.com#L44-L53","name":"Lake.captureProc","line":44,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc","doc":""},"Lake.busyAcquireLockFile.busyLoop":{"sourceLink":"https://example.com#L57-L72","name":"Lake.busyAcquireLockFile.busyLoop","line":57,"kind":"opaque","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile.busyLoop","doc":""},"Lake.busyAcquireLockFile":{"sourceLink":"https://example.com#L54-L72","name":"Lake.busyAcquireLockFile","line":54,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile","doc":"Busy waits to acquire the lock represented by the `lockFile`.\nPrints a warning if on the first time it has to wait.\n"},"Lake.buildUnlessUpToDate":{"sourceLink":"https://example.com#L17-L28","name":"Lake.buildUnlessUpToDate","line":17,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildUnlessUpToDate","doc":""},"Lake.buildTop":{"sourceLink":"https://example.com#L137-L139","name":"Lake.buildTop","line":137,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildTop","doc":"Recursively fills a `MonadStore` of key-object pairs by\nbuilding objects topologically (ι.e., depth-first with memoization).\nIf a cycle is detected, the list of keys traversed is thrown.\n"},"Lake.buildStaticLib":{"sourceLink":"https://example.com#L68-L72","name":"Lake.buildStaticLib","line":68,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildStaticLib","doc":""},"Lake.buildO":{"sourceLink":"https://example.com#L56-L60","name":"Lake.buildO","line":56,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildO","doc":""},"Lake.buildLeanSharedLibOfStatic":{"sourceLink":"https://example.com#L90-L104","name":"Lake.buildLeanSharedLibOfStatic","line":90,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLibOfStatic","doc":""},"Lake.buildLeanSharedLib":{"sourceLink":"https://example.com#L74-L80","name":"Lake.buildLeanSharedLib","line":74,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLib","doc":""},"Lake.buildLeanO":{"sourceLink":"https://example.com#L62-L66","name":"Lake.buildLeanO","line":62,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanO","doc":""},"Lake.buildLeanExe":{"sourceLink":"https://example.com#L82-L88","name":"Lake.buildLeanExe","line":82,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanExe","doc":""},"Lake.buildIndexTop'":{"sourceLink":"https://example.com#L84-L85","name":"Lake.buildIndexTop'","line":84,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop'","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.buildIndexTop":{"sourceLink":"https://example.com#L91-L93","name":"Lake.buildIndexTop","line":91,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler and return the dynamic result.\n"},"Lake.buildImportsAndDeps":{"sourceLink":"https://example.com#L55-L70","name":"Lake.buildImportsAndDeps","line":55,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.buildImportsAndDeps","doc":"Builds the workspace-local modules of list of imports.\nUsed by `lake print-paths` to build modules for the Lean server.\nReturns the set of module dynlibs built (so they can be loaded by the server).\n\nBuilds only module `.olean` and `.ilean` files if the package is configured\nas \"Lean-only\". Otherwise, also builds `.c` files.\n"},"Lake.buildFileUnlessUpToDate":{"sourceLink":"https://example.com#L30-L34","name":"Lake.buildFileUnlessUpToDate","line":30,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileUnlessUpToDate","doc":""},"Lake.buildFileAfterDepList":{"sourceLink":"https://example.com#L44-L47","name":"Lake.buildFileAfterDepList","line":44,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepList","doc":""},"Lake.buildFileAfterDepArray":{"sourceLink":"https://example.com#L49-L52","name":"Lake.buildFileAfterDepArray","line":49,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepArray","doc":""},"Lake.buildFileAfterDep":{"sourceLink":"https://example.com#L36-L42","name":"Lake.buildFileAfterDep","line":36,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDep","doc":""},"Lake.buildDTop":{"sourceLink":"https://example.com#L127-L130","name":"Lake.buildDTop","line":127,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildDTop","doc":"Dependently typed version of `buildTop`. "},"Lake.buildAcyclic":{"sourceLink":"https://example.com#L122-L124","name":"Lake.buildAcyclic","line":122,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildAcyclic","doc":"Recursively builds objects for the keys `κ`, avoiding cycles. "},"Lake.binder":{"sourceLink":"https://example.com#L49-L49","name":"Lake.binder","line":49,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.binder","doc":""},"Lake.archiveSuffix":{"sourceLink":"https://example.com#L33-L34","name":"Lake.archiveSuffix","line":33,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.archiveSuffix","doc":"A `tar.gz` file name suffix encoding the the current Platform.\n(i.e, `osDescriptor` joined with `System.Platform.numBits`).\n"},"Lake.WorkspaceConfig.packagesDir":{"sourceLink":"https://example.com#L19-L19","name":"Lake.WorkspaceConfig.packagesDir","line":19,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.packagesDir","doc":"The directory to which Lake should download remote dependencies.\nDefaults to `defaultPackagesDir` (i.e., `lake-packages`).\n"},"Lake.WorkspaceConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.WorkspaceConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.mk","doc":""},"Lake.WorkspaceConfig":{"sourceLink":"https://example.com#L14-L20","name":"Lake.WorkspaceConfig","line":14,"kind":"structure","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig","doc":"A `Workspace`'s declarative configuration. "},"Lake.Workspace.sharedLibPath":{"sourceLink":"https://example.com#L147-L148","name":"Lake.Workspace.sharedLibPath","line":147,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.sharedLibPath","doc":"The workspace's shared library path (e.g., for `--load-dynlib`).\nThis is added to the `sharedLibPathEnvVar` by `lake env`.\n"},"Lake.Workspace.runBuild":{"sourceLink":"https://example.com#L95-L104","name":"Lake.Workspace.runBuild","line":95,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.runBuild","doc":"Run the given build function in the Workspace's context. "},"Lake.Workspace.root":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Workspace.root","line":19,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.root","doc":"The root package of the workspace. "},"Lake.Workspace.relPkgsDir":{"sourceLink":"https://example.com#L48-L49","name":"Lake.Workspace.relPkgsDir","line":48,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.relPkgsDir","doc":"The path to the workspace's remote packages directory relative to `dir`. "},"Lake.Workspace.processImportList":{"sourceLink":"https://example.com#L19-L25","name":"Lake.Workspace.processImportList","line":19,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.Workspace.processImportList","doc":"Construct an `Array` of `Module`s for the workspace-local modules of\na `List` of import strings.\n"},"Lake.Workspace.pkgsDir":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Workspace.pkgsDir","line":52,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.pkgsDir","doc":"The workspace's `dir` joined with its `relPkgsDir`. "},"Lake.Workspace.packageMap":{"sourceLink":"https://example.com#L23-L23","name":"Lake.Workspace.packageMap","line":23,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageMap","doc":"Name-package map of packages within the workspace. "},"Lake.Workspace.packageList":{"sourceLink":"https://example.com#L60-L61","name":"Lake.Workspace.packageList","line":60,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageList","doc":"The `List` of packages to the workspace. "},"Lake.Workspace.packageFacetConfigs":{"sourceLink":"https://example.com#L27-L27","name":"Lake.Workspace.packageFacetConfigs","line":27,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageFacetConfigs","doc":"Name-configuration map of package facets defined in the workspace. "},"Lake.Workspace.packageArray":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Workspace.packageArray","line":64,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageArray","doc":"The `Array` of packages to the workspace. "},"Lake.Workspace.moduleFacetConfigs":{"sourceLink":"https://example.com#L25-L25","name":"Lake.Workspace.moduleFacetConfigs","line":25,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.moduleFacetConfigs","doc":"Name-configuration map of module facets defined in the workspace. "},"Lake.Workspace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Workspace.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.mk","doc":""},"Lake.Workspace.manifestFile":{"sourceLink":"https://example.com#L56-L57","name":"Lake.Workspace.manifestFile","line":56,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.manifestFile","doc":"The workspace's Lake manifest. "},"Lake.Workspace.lockFile":{"sourceLink":"https://example.com#L91-L92","name":"Lake.Workspace.lockFile","line":91,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.lockFile","doc":"The workspace's build lock file. "},"Lake.Workspace.libraryFacetConfigs":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Workspace.libraryFacetConfigs","line":29,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.libraryFacetConfigs","doc":"Name-configuration map of library facets defined in the workspace. "},"Lake.Workspace.leanSrcPath":{"sourceLink":"https://example.com#L136-L141","name":"Lake.Workspace.leanSrcPath","line":136,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanSrcPath","doc":"The workspace's source directories (which are added to `LEAN_SRC_PATH`). "},"Lake.Workspace.leanPath":{"sourceLink":"https://example.com#L132-L133","name":"Lake.Workspace.leanPath","line":132,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanPath","doc":"The workspace's Lean library directories (which are added to `LEAN_PATH`). "},"Lake.Workspace.lakeEnv":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Workspace.lakeEnv","line":21,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.lakeEnv","doc":"The detect `Lake.Env` of the workspace. "},"Lake.Workspace.isLocalModule":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Workspace.isLocalModule","line":76,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isLocalModule","doc":"Check if the module is local to any package in the workspace. "},"Lake.Workspace.isBuildableModule":{"sourceLink":"https://example.com#L80-L81","name":"Lake.Workspace.isBuildableModule","line":80,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isBuildableModule","doc":"Check if the module is buildable by any package in the workspace. "},"Lake.Workspace.findTargetConfig?":{"sourceLink":"https://example.com#L100-L101","name":"Lake.Workspace.findTargetConfig?","line":100,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findTargetConfig?","doc":"Try to find a target configuration in the workspace with the given name. "},"Lake.Workspace.findPackageFacetConfig?":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Workspace.findPackageFacetConfig?","line":116,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackageFacetConfig?","doc":"Try to find a package facet configuration in the workspace with the given name. "},"Lake.Workspace.findPackage?":{"sourceLink":"https://example.com#L72-L73","name":"Lake.Workspace.findPackage?","line":72,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.Workspace.findModuleFacetConfig?":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Workspace.findModuleFacetConfig?","line":108,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModuleFacetConfig?","doc":"Try to find a module facet configuration in the workspace with the given name. "},"Lake.Workspace.findModule?":{"sourceLink":"https://example.com#L84-L85","name":"Lake.Workspace.findModule?","line":84,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.Workspace.findLibraryFacetConfig?":{"sourceLink":"https://example.com#L124-L125","name":"Lake.Workspace.findLibraryFacetConfig?","line":124,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLibraryFacetConfig?","doc":"Try to find a library facet configuration in the workspace with the given name. "},"Lake.Workspace.findLeanLib?":{"sourceLink":"https://example.com#L88-L89","name":"Lake.Workspace.findLeanLib?","line":88,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.Workspace.findLeanExe?":{"sourceLink":"https://example.com#L92-L93","name":"Lake.Workspace.findLeanExe?","line":92,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.Workspace.findExternLib?":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Workspace.findExternLib?","line":96,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.Workspace.dir":{"sourceLink":"https://example.com#L40-L41","name":"Lake.Workspace.dir","line":40,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.dir","doc":"The path to the workspace's directory (i.e., the directory of the root package). "},"Lake.Workspace.config":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Workspace.config","line":44,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.config","doc":"The workspace's configuration. "},"Lake.Workspace.clean":{"sourceLink":"https://example.com#L194-L195","name":"Lake.Workspace.clean","line":194,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.clean","doc":"Remove all packages' build outputs (i.e., delete their build directories). "},"Lake.Workspace.binPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Workspace.binPath","line":128,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.binPath","doc":"The workspace's binary directories (which are added to `Path`). "},"Lake.Workspace.augmentedSharedLibPath":{"sourceLink":"https://example.com#L175-L176","name":"Lake.Workspace.augmentedSharedLibPath","line":175,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedSharedLibPath","doc":""},"Lake.Workspace.augmentedPath":{"sourceLink":"https://example.com#L154-L155","name":"Lake.Workspace.augmentedPath","line":154,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedPath","doc":"The detected `PATH` of the environment augmented with\nthe workspace's `binDir` and Lean and Lake installations' `binDir`.\n"},"Lake.Workspace.augmentedLeanSrcPath":{"sourceLink":"https://example.com#L168-L169","name":"Lake.Workspace.augmentedLeanSrcPath","line":168,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanSrcPath","doc":"The detected `LEAN_SRC_PATH` of the environment augmented with\nthe workspace's `leanSrcPath` and Lake's `srcDir`.\n"},"Lake.Workspace.augmentedLeanPath":{"sourceLink":"https://example.com#L161-L162","name":"Lake.Workspace.augmentedLeanPath","line":161,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanPath","doc":"The detected `LEAN_PATH` of the environment augmented with\nthe workspace's `leanPath` and Lake's `libDir`.\n"},"Lake.Workspace.augmentedEnvVars":{"sourceLink":"https://example.com#L182-L191","name":"Lake.Workspace.augmentedEnvVars","line":182,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedEnvVars","doc":"The detected environment augmented with Lake's and the workspace's paths.\nThese are the settings use by `lake env` / `Lake.env` to run executables.\n"},"Lake.Workspace.addPackageFacetConfig":{"sourceLink":"https://example.com#L112-L113","name":"Lake.Workspace.addPackageFacetConfig","line":112,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackageFacetConfig","doc":"Add a package facet to the workspace. "},"Lake.Workspace.addPackage":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Workspace.addPackage","line":68,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackage","doc":"Add a package to the workspace. "},"Lake.Workspace.addModuleFacetConfig":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Workspace.addModuleFacetConfig","line":104,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addModuleFacetConfig","doc":"Add a module facet to the workspace. "},"Lake.Workspace.addLibraryFacetConfig":{"sourceLink":"https://example.com#L120-L121","name":"Lake.Workspace.addLibraryFacetConfig","line":120,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addLibraryFacetConfig","doc":"Add a library facet to the workspace. "},"Lake.Workspace":{"sourceLink":"https://example.com#L17-L29","name":"Lake.Workspace","line":17,"kind":"structure","docLink":"./Lake/Config/Workspace.html#Lake.Workspace","doc":"A Lake workspace -- the top-level package directory. "},"Lake.Verbosity.verbose":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Verbosity.verbose","line":19,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.verbose","doc":""},"Lake.Verbosity.quiet":{"sourceLink":"https://example.com#L17-L17","name":"Lake.Verbosity.quiet","line":17,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.quiet","doc":""},"Lake.Verbosity.normal":{"sourceLink":"https://example.com#L18-L18","name":"Lake.Verbosity.normal","line":18,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.normal","doc":""},"Lake.Verbosity":{"sourceLink":"https://example.com#L16-L20","name":"Lake.Verbosity","line":16,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.Verbosity","doc":""},"Lake.TypeSpec":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TypeSpec","line":28,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.TypeSpec","doc":""},"Lake.TextFilePath.path":{"sourceLink":"https://example.com#L138-L138","name":"Lake.TextFilePath.path","line":138,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.path","doc":""},"Lake.TextFilePath.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TextFilePath.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.mk","doc":""},"Lake.TextFilePath":{"sourceLink":"https://example.com#L137-L138","name":"Lake.TextFilePath","line":137,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath","doc":"A wrapper around `FilePath` that adjusts its `ComputeHash` implementation\nto normalize `\\r\\n` sequences to `\\n` for cross-platform compatibility. "},"Lake.TargetDecl.pkg":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TargetDecl.pkg","line":28,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.pkg","doc":""},"Lake.TargetDecl.name":{"sourceLink":"https://example.com#L29-L29","name":"Lake.TargetDecl.name","line":29,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.name","doc":""},"Lake.TargetDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TargetDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.mk","doc":""},"Lake.TargetDecl.fetchJob":{"sourceLink":"https://example.com#L31-L34","name":"Lake.TargetDecl.fetchJob","line":31,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetchJob","doc":"Fetch the build job of the target. "},"Lake.TargetDecl.fetch":{"sourceLink":"https://example.com#L24-L28","name":"Lake.TargetDecl.fetch","line":24,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetch","doc":"Fetch the build result of a target. "},"Lake.TargetDecl.config":{"sourceLink":"https://example.com#L30-L30","name":"Lake.TargetDecl.config","line":30,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.config","doc":""},"Lake.TargetDecl":{"sourceLink":"https://example.com#L27-L30","name":"Lake.TargetDecl","line":27,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.TargetData.leanLib.static":{"sourceLink":"https://example.com#L106-L106","name":"Lake.TargetData.leanLib.static","line":106,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.static","doc":""},"Lake.TargetData.leanLib.shared":{"sourceLink":"https://example.com#L110-L110","name":"Lake.TargetData.leanLib.shared","line":110,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.shared","doc":""},"Lake.TargetData.leanLib.modules":{"sourceLink":"https://example.com#L164-L164","name":"Lake.TargetData.leanLib.modules","line":164,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.TargetData.leanLib.modules","doc":""},"Lake.TargetData.leanLib.lean":{"sourceLink":"https://example.com#L102-L102","name":"Lake.TargetData.leanLib.lean","line":102,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.lean","doc":""},"Lake.TargetData.leanLib.extraDep":{"sourceLink":"https://example.com#L114-L114","name":"Lake.TargetData.leanLib.extraDep","line":114,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.extraDep","doc":""},"Lake.TargetData.leanExe":{"sourceLink":"https://example.com#L118-L118","name":"Lake.TargetData.leanExe","line":118,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanExe","doc":""},"Lake.TargetData.externLib.static":{"sourceLink":"https://example.com#L122-L122","name":"Lake.TargetData.externLib.static","line":122,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.static","doc":""},"Lake.TargetData.externLib.shared":{"sourceLink":"https://example.com#L126-L126","name":"Lake.TargetData.externLib.shared","line":126,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.shared","doc":""},"Lake.TargetData.externLib.dynlib":{"sourceLink":"https://example.com#L130-L130","name":"Lake.TargetData.externLib.dynlib","line":130,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.dynlib","doc":""},"Lake.TargetData":{"sourceLink":"https://example.com#L44-L44","name":"Lake.TargetData","line":44,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.TargetData","doc":"The open type family which maps a (builtin) Lake target's (e.g., `extern_lib`)\nfacet to its associated build data. For example, an active build target for\nthe `externLib.static` facet.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `target_data`).\n"},"Lake.TargetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.TargetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.mk","doc":""},"Lake.TargetConfig.getJob":{"sourceLink":"https://example.com#L16-L16","name":"Lake.TargetConfig.getJob","line":16,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.getJob","doc":"The target's resulting build job. "},"Lake.TargetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.TargetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.build","doc":"The target's build function. "},"Lake.TargetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.TargetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig","doc":"A custom target's declarative configuration. "},"Lake.Sync.sync":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Sync.sync","line":30,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Sync.sync","doc":"Run the monadic action as a synchronous task. "},"Lake.Sync.mk":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Sync.mk","line":28,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Sync.mk","doc":""},"Lake.Sync":{"sourceLink":"https://example.com#L28-L30","name":"Lake.Sync","line":28,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Sync","doc":""},"Lake.String.lt_irrefl":{"sourceLink":"https://example.com#L84-L85","name":"Lake.String.lt_irrefl","line":84,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.String.lt_irrefl","doc":""},"Lake.Source.path":{"sourceLink":"https://example.com#L20-L20","name":"Lake.Source.path","line":20,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.path","doc":""},"Lake.Source.git":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Source.git","line":21,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.git","doc":""},"Lake.Source":{"sourceLink":"https://example.com#L19-L22","name":"Lake.Source","line":19,"kind":"inductive","docLink":"./Lake/Config/Dependency.html#Lake.Source","doc":"The `src` of a `Dependency`.\n\nIn Lake, dependency sources currently come into flavors:\n* Local `path`s relative to the package's directory.\n* Remote `git` repositories that are download from a given `url`\n into the workspace's `packagesDir`.\n"},"Lake.SeqWithAsync.seqWithAsync":{"sourceLink":"https://example.com#L134-L134","name":"Lake.SeqWithAsync.seqWithAsync","line":134,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.seqWithAsync","doc":"Combine two (a)synchronous tasks using `f`. "},"Lake.SeqWithAsync.mk":{"sourceLink":"https://example.com#L132-L132","name":"Lake.SeqWithAsync.mk","line":132,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.mk","doc":""},"Lake.SeqWithAsync":{"sourceLink":"https://example.com#L132-L134","name":"Lake.SeqWithAsync","line":132,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync","doc":""},"Lake.SeqRightAsync.seqRightAsync":{"sourceLink":"https://example.com#L128-L128","name":"Lake.SeqRightAsync.seqRightAsync","line":128,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.seqRightAsync","doc":"Combine two (a)synchronous tasks, returning the result of the second one. "},"Lake.SeqRightAsync.mk":{"sourceLink":"https://example.com#L126-L126","name":"Lake.SeqRightAsync.mk","line":126,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.mk","doc":""},"Lake.SeqRightAsync":{"sourceLink":"https://example.com#L126-L128","name":"Lake.SeqRightAsync","line":126,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync","doc":""},"Lake.SeqLeftAsync.seqLeftAsync":{"sourceLink":"https://example.com#L122-L122","name":"Lake.SeqLeftAsync.seqLeftAsync","line":122,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.seqLeftAsync","doc":"Combine two (a)synchronous tasks, returning the result of the first one. "},"Lake.SeqLeftAsync.mk":{"sourceLink":"https://example.com#L120-L120","name":"Lake.SeqLeftAsync.mk","line":120,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.mk","doc":""},"Lake.SeqLeftAsync":{"sourceLink":"https://example.com#L120-L122","name":"Lake.SeqLeftAsync","line":120,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync","doc":""},"Lake.SeqAsync.seqAsync":{"sourceLink":"https://example.com#L116-L116","name":"Lake.SeqAsync.seqAsync","line":116,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.seqAsync","doc":"Combine two (a)synchronous tasks, applying the result of the second one ot the first one. "},"Lake.SeqAsync.mk":{"sourceLink":"https://example.com#L114-L114","name":"Lake.SeqAsync.mk","line":114,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.mk","doc":""},"Lake.SeqAsync":{"sourceLink":"https://example.com#L114-L116","name":"Lake.SeqAsync","line":114,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqAsync","doc":""},"Lake.ScriptM":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ScriptM","line":15,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptM","doc":"The type of a `Script`'s monad.\n`IO` equipped information about the Lake configuration.\n"},"Lake.ScriptFn":{"sourceLink":"https://example.com#L22-L22","name":"Lake.ScriptFn","line":22,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptFn","doc":"The type of a `Script`'s function.\nSimilar to the `main` function's signature, except that its monad is\nalso equipped with information about the Lake configuration.\n"},"Lake.Script.run":{"sourceLink":"https://example.com#L33-L34","name":"Lake.Script.run","line":33,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.run","doc":""},"Lake.Script.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Script.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Script.html#Lake.Script.mk","doc":""},"Lake.Script.fn":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Script.fn","line":29,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.fn","doc":""},"Lake.Script.doc?":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Script.doc?","line":30,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.doc?","doc":""},"Lake.Script":{"sourceLink":"https://example.com#L28-L31","name":"Lake.Script","line":28,"kind":"structure","docLink":"./Lake/Config/Script.html#Lake.Script","doc":"A package `Script` is a `ScriptFn` definition that is\nindexed by a `String` key and can be be run by `lake run [-- ]`.\n"},"Lake.SchedulerM":{"sourceLink":"https://example.com#L29-L29","name":"Lake.SchedulerM","line":29,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.SchedulerM","doc":"The monad for the Lake build manager. "},"Lake.ResultM":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ResultM","line":20,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.ResultM","doc":"The monad of a finished Lake job. "},"Lake.RecFetchFn":{"sourceLink":"https://example.com#L65-L66","name":"Lake.RecFetchFn","line":65,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.RecFetchFn","doc":"A `DRecFetchFn` that is not dependently typed. "},"Lake.RecBuildM.runIn":{"sourceLink":"https://example.com#L39-L41","name":"Lake.RecBuildM.runIn","line":39,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.runIn","doc":"Run the recursive build in the given build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM.run":{"sourceLink":"https://example.com#L47-L48","name":"Lake.RecBuildM.run","line":47,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.run","doc":"Run the recursive build in a fresh build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM":{"sourceLink":"https://example.com#L44-L44","name":"Lake.RecBuildM","line":44,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.RecBuildM","doc":"A recursive build of a Lake build store that may encounter a cycle. "},"Lake.RBNode.dFind":{"sourceLink":"https://example.com#L21-L28","name":"Lake.RBNode.dFind","line":21,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.RBNode.dFind","doc":""},"Lake.Prod.compareWith":{"sourceLink":"https://example.com#L111-L114","name":"Lake.Prod.compareWith","line":111,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Prod.compareWith","doc":""},"Lake.PackageSet.empty":{"sourceLink":"https://example.com#L224-L224","name":"Lake.PackageSet.empty","line":224,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet.empty","doc":""},"Lake.PackageSet":{"sourceLink":"https://example.com#L223-L223","name":"Lake.PackageSet","line":223,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet","doc":""},"Lake.PackageFacetDecl.fetch":{"sourceLink":"https://example.com#L37-L39","name":"Lake.PackageFacetDecl.fetch","line":37,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetDecl.fetch","doc":"Fetch the build result of a package facet. "},"Lake.PackageFacetDecl":{"sourceLink":"https://example.com#L62-L62","name":"Lake.PackageFacetDecl","line":62,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetDecl","doc":"A package facet declaration from a configuration file. "},"Lake.PackageFacetConfig.fetchJob":{"sourceLink":"https://example.com#L42-L46","name":"Lake.PackageFacetConfig.fetchJob","line":42,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetConfig.fetchJob","doc":"Fetch the build job of a package facet. "},"Lake.PackageFacetConfig":{"sourceLink":"https://example.com#L59-L59","name":"Lake.PackageFacetConfig","line":59,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetConfig","doc":"A package facet's declarative configuration. "},"Lake.PackageData.release":{"sourceLink":"https://example.com#L92-L92","name":"Lake.PackageData.release","line":92,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.release","doc":""},"Lake.PackageData.extraDep":{"sourceLink":"https://example.com#L96-L96","name":"Lake.PackageData.extraDep","line":96,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.extraDep","doc":""},"Lake.PackageData.deps":{"sourceLink":"https://example.com#L168-L168","name":"Lake.PackageData.deps","line":168,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.PackageData.deps","doc":""},"Lake.PackageData":{"sourceLink":"https://example.com#L34-L34","name":"Lake.PackageData","line":34,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.PackageData","doc":"The open type family which maps a package facet's name to its build data\nin the Lake build store. For example, a transitive dependencies of the package\nfor the facet `deps`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `package_data`).\n"},"Lake.PackageConfig.srcDir":{"sourceLink":"https://example.com#L114-L114","name":"Lake.PackageConfig.srcDir","line":114,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.srcDir","doc":"The directory containing the package's Lean source files.\nDefaults to the package's directory.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.PackageConfig.releaseRepo?":{"sourceLink":"https://example.com#L154-L154","name":"Lake.PackageConfig.releaseRepo?","line":154,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.releaseRepo?","doc":"The URL of the GitHub repository to upload and download releases of this package.\nIf `none` (the default), for downloads, Lake uses the URL the package was download\nfrom (if it is a dependency) and for uploads, uses `gh`'s default.\n"},"Lake.PackageConfig.preferReleaseBuild":{"sourceLink":"https://example.com#L166-L166","name":"Lake.PackageConfig.preferReleaseBuild","line":166,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.preferReleaseBuild","doc":"Whether to prefer downloading a prebuilt release (from GitHub) rather than\nbuilding this package from the source when this package is used as a dependency.\n"},"Lake.PackageConfig.precompileModules":{"sourceLink":"https://example.com#L100-L100","name":"Lake.PackageConfig.precompileModules","line":100,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.precompileModules","doc":"Whether to compile each of the package's module into a native shared library\nthat is loaded whenever the module is imported. This speeds up evaluation of\nmetaprograms and enables the interpreter to run functions marked `@[extern]`.\n\nDefaults to `false`.\n"},"Lake.PackageConfig.nativeLibDir":{"sourceLink":"https://example.com#L134-L134","name":"Lake.PackageConfig.nativeLibDir","line":134,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.nativeLibDir","doc":"The build subdirectory to which Lake should output the package's\nnative libraries (e.g., `.a`, `.so`, `.dll` files).\nDefaults to `defaultNativeLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.name":{"sourceLink":"https://example.com#L80-L80","name":"Lake.PackageConfig.name","line":80,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.name","doc":"The `Name` of the package. "},"Lake.PackageConfig.moreServerArgs":{"sourceLink":"https://example.com#L106-L106","name":"Lake.PackageConfig.moreServerArgs","line":106,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.moreServerArgs","doc":"Additional arguments to pass to the Lean language server\n(i.e., `lean --server`) launched by `lake server`.\n"},"Lake.PackageConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.PackageConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.mk","doc":""},"Lake.PackageConfig.manifestFile":{"sourceLink":"https://example.com#L88-L88","name":"Lake.PackageConfig.manifestFile","line":88,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.manifestFile","doc":"The path of a package's manifest file, which stores the exact versions\nof its resolved dependencies.\n\nDefaults to `defaultManifestFile` (i.e., `lake-manifest.json`).\n"},"Lake.PackageConfig.leanLibDir":{"sourceLink":"https://example.com#L127-L127","name":"Lake.PackageConfig.leanLibDir","line":127,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.leanLibDir","doc":"The build subdirectory to which Lake should output the package's\nbinary Lean libraries (e.g., `.olean`, `.ilean` files).\nDefaults to `defaultLeanLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.irDir":{"sourceLink":"https://example.com#L147-L147","name":"Lake.PackageConfig.irDir","line":147,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.irDir","doc":"The build subdirectory to which Lake should output\nthe package's intermediary results (e.g., `.c` and `.o` files).\nDefaults to `defaultIrDir` (i.e., `ir`).\n"},"Lake.PackageConfig.extraDepTargets":{"sourceLink":"https://example.com#L91-L91","name":"Lake.PackageConfig.extraDepTargets","line":91,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.extraDepTargets","doc":"An `Array` of target names to build whenever the package is used. "},"Lake.PackageConfig.buildDir":{"sourceLink":"https://example.com#L120-L120","name":"Lake.PackageConfig.buildDir","line":120,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildDir","doc":"The directory to which Lake should output the package's build results.\nDefaults to `defaultBuildDir` (i.e., `build`).\n"},"Lake.PackageConfig.buildArchive?":{"sourceLink":"https://example.com#L160-L160","name":"Lake.PackageConfig.buildArchive?","line":160,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildArchive?","doc":"The name of the build archive on GitHub. Defaults to `none`.\nThe archive's full file name will be `nameToArchive buildArchive?`.\n"},"Lake.PackageConfig.binDir":{"sourceLink":"https://example.com#L140-L140","name":"Lake.PackageConfig.binDir","line":140,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.binDir","doc":"The build subdirectory to which Lake should output the package's binary executable.\nDefaults to `defaultBinDir` (i.e., `bin`).\n"},"Lake.PackageConfig":{"sourceLink":"https://example.com#L77-L168","name":"Lake.PackageConfig","line":77,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.PackageConfig","doc":"A `Package`'s declarative configuration. "},"Lake.Package.weakLeanArgs":{"sourceLink":"https://example.com#L320-L321","name":"Lake.Package.weakLeanArgs","line":320,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.weakLeanArgs","doc":"The package's `weakLeanArgs` configuration. "},"Lake.Package.targetBuildKey":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Package.targetBuildKey","line":44,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.targetBuildKey","doc":""},"Lake.Package.target":{"sourceLink":"https://example.com#L232-L233","name":"Lake.Package.target","line":232,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.target","doc":"Build info for a custom package target. "},"Lake.Package.srcDir":{"sourceLink":"https://example.com#L332-L333","name":"Lake.Package.srcDir","line":332,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.srcDir","doc":"The package's `dir` joined with its `srcDir` configuration. "},"Lake.Package.scripts":{"sourceLink":"https://example.com#L207-L207","name":"Lake.Package.scripts","line":207,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.scripts","doc":"Scripts for the package. "},"Lake.Package.rootDir":{"sourceLink":"https://example.com#L336-L337","name":"Lake.Package.rootDir","line":336,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.rootDir","doc":"The package's root directory for `lean` (i.e., `srcDir`). "},"Lake.Package.remoteUrl?":{"sourceLink":"https://example.com#L188-L188","name":"Lake.Package.remoteUrl?","line":188,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.remoteUrl?","doc":"The URL to this package's Git remote. "},"Lake.Package.releaseRepo?":{"sourceLink":"https://example.com#L275-L276","name":"Lake.Package.releaseRepo?","line":275,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.releaseRepo?","doc":"The package's `releaseRepo?` configuration. "},"Lake.Package.releaseFacetConfig":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Package.releaseFacetConfig","line":73,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.releaseFacetConfig","doc":"The `PackageFacetConfig` for the builtin `releaseFacet`. "},"Lake.Package.releaseFacet":{"sourceLink":"https://example.com#L91-L91","name":"Lake.Package.releaseFacet","line":91,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.releaseFacet","doc":"A package's cloud build release. "},"Lake.Package.release?":{"sourceLink":"https://example.com#L282-L285","name":"Lake.Package.release?","line":282,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.release?","doc":"The package's URL × tag release.\nTries `releaseRepo?` first and then falls back to `remoteUrl?`.\n"},"Lake.Package.release":{"sourceLink":"https://example.com#L224-L225","name":"Lake.Package.release","line":224,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.release","doc":"A package's cloud build release. "},"Lake.Package.relPkgsDir":{"sourceLink":"https://example.com#L255-L256","name":"Lake.Package.relPkgsDir","line":255,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.relPkgsDir","doc":"The path for storing the package's remote dependencies relative to `dir`.\nEither its `packagesDir` configuration or `defaultPackagesDir`.\n"},"Lake.Package.recComputeDeps":{"sourceLink":"https://example.com#L18-L29","name":"Lake.Package.recComputeDeps","line":18,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recComputeDeps","doc":"Compute a topological ordering of the package's transitive dependencies. "},"Lake.Package.recBuildExtraDepTargets":{"sourceLink":"https://example.com#L39-L50","name":"Lake.Package.recBuildExtraDepTargets","line":39,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recBuildExtraDepTargets","doc":"Build the `extraDepTargets` for the package and its transitive dependencies.\nAlso fetch pre-built releases for the package's' dependencies.\n"},"Lake.Package.preferReleaseBuild":{"sourceLink":"https://example.com#L300-L301","name":"Lake.Package.preferReleaseBuild","line":300,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.preferReleaseBuild","doc":"The package's `preferReleaseBuild` configuration. "},"Lake.Package.precompileModules":{"sourceLink":"https://example.com#L304-L305","name":"Lake.Package.precompileModules","line":304,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.precompileModules","doc":"The package's `precompileModules` configuration. "},"Lake.Package.pkgsDir":{"sourceLink":"https://example.com#L259-L260","name":"Lake.Package.pkgsDir","line":259,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.pkgsDir","doc":"The package's `dir` joined with its `relPkgsDir` "},"Lake.Package.opaqueTargetConfigs":{"sourceLink":"https://example.com#L200-L200","name":"Lake.Package.opaqueTargetConfigs","line":200,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueTargetConfigs","doc":"(Opaque references to) targets defined in the package. "},"Lake.Package.opaqueDeps":{"sourceLink":"https://example.com#L192-L192","name":"Lake.Package.opaqueDeps","line":192,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueDeps","doc":"(Opaque references to) the package's direct dependencies. "},"Lake.Package.nativeLibDir":{"sourceLink":"https://example.com#L344-L345","name":"Lake.Package.nativeLibDir","line":344,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.nativeLibDir","doc":"The package's `buildDir` joined with its `nativeLibDir` configuration. "},"Lake.Package.name":{"sourceLink":"https://example.com#L230-L231","name":"Lake.Package.name","line":230,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.name","doc":"The package's name. "},"Lake.Package.moreServerArgs":{"sourceLink":"https://example.com#L308-L309","name":"Lake.Package.moreServerArgs","line":308,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreServerArgs","doc":"The package's `moreServerArgs` configuration. "},"Lake.Package.moreLinkArgs":{"sourceLink":"https://example.com#L328-L329","name":"Lake.Package.moreLinkArgs","line":328,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLinkArgs","doc":"The package's `moreLinkArgs` configuration. "},"Lake.Package.moreLeancArgs":{"sourceLink":"https://example.com#L324-L325","name":"Lake.Package.moreLeancArgs","line":324,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeancArgs","doc":"The package's `moreLeancArgs` configuration. "},"Lake.Package.moreLeanArgs":{"sourceLink":"https://example.com#L316-L317","name":"Lake.Package.moreLeanArgs","line":316,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeanArgs","doc":"The package's `moreLeanArgs` configuration. "},"Lake.Package.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Package.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.Package.mk","doc":""},"Lake.Package.manifestFile":{"sourceLink":"https://example.com#L263-L264","name":"Lake.Package.manifestFile","line":263,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.manifestFile","doc":"The package's JSON manifest of remote dependencies. "},"Lake.Package.leanOpts":{"sourceLink":"https://example.com#L186-L186","name":"Lake.Package.leanOpts","line":186,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanOpts","doc":"The Lean `Options` the package configuration was elaborated with. "},"Lake.Package.leanLibs":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanLibs","line":19,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.leanLibs","doc":"The Lean libraries of the package (as an Array). "},"Lake.Package.leanLibDir":{"sourceLink":"https://example.com#L340-L341","name":"Lake.Package.leanLibDir","line":340,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibDir","doc":"The package's `buildDir` joined with its `leanLibDir` configuration. "},"Lake.Package.leanLibConfigs":{"sourceLink":"https://example.com#L194-L194","name":"Lake.Package.leanLibConfigs","line":194,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibConfigs","doc":"Lean library configurations for the package. "},"Lake.Package.leanExes":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanExes","line":19,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.leanExes","doc":"The Lean executables of the package (as an Array). "},"Lake.Package.leanExeConfigs":{"sourceLink":"https://example.com#L196-L196","name":"Lake.Package.leanExeConfigs","line":196,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanExeConfigs","doc":"Lean binary executable configurations for the package. "},"Lake.Package.isLocalModule":{"sourceLink":"https://example.com#L356-L357","name":"Lake.Package.isLocalModule","line":356,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isLocalModule","doc":"Whether the given module is considered local to the package. "},"Lake.Package.isBuildableModule":{"sourceLink":"https://example.com#L360-L362","name":"Lake.Package.isBuildableModule","line":360,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isBuildableModule","doc":"Whether the given module is in the package (i.e., can build it). "},"Lake.Package.irDir":{"sourceLink":"https://example.com#L352-L353","name":"Lake.Package.irDir","line":352,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.irDir","doc":"The package's `buildDir` joined with its `irDir` configuration. "},"Lake.Package.gitTag?":{"sourceLink":"https://example.com#L190-L190","name":"Lake.Package.gitTag?","line":190,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.gitTag?","doc":"The Git tag of this package. "},"Lake.Package.findTargetConfig?":{"sourceLink":"https://example.com#L35-L36","name":"Lake.Package.findTargetConfig?","line":35,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.Package.findTargetConfig?","doc":"Try to find a target configuration in the package with the given name . "},"Lake.Package.findModule?":{"sourceLink":"https://example.com#L85-L87","name":"Lake.Package.findModule?","line":85,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findModule?","doc":"Locate the named module in the package (if it is buildable and local to it). "},"Lake.Package.findLeanLib?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanLib?","line":23,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.findLeanLib?","doc":"Try to find a Lean library in the package with the given name. "},"Lake.Package.findLeanExe?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanExe?","line":23,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findLeanExe?","doc":"Try to find a Lean executable in the package with the given name. "},"Lake.Package.findExternLib?":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Package.findExternLib?","line":24,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.findExternLib?","doc":"Try to find a external library in the package with the given name. "},"Lake.Package.fetchTargetJob":{"sourceLink":"https://example.com#L17-L21","name":"Lake.Package.fetchTargetJob","line":17,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchTargetJob","doc":"Fetch the build job of the specified package target. "},"Lake.Package.fetchRelease":{"sourceLink":"https://example.com#L57-L70","name":"Lake.Package.fetchRelease","line":57,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.fetchRelease","doc":"Download and unpack the package's prebuilt release archive (from GitHub). "},"Lake.Package.fetchFacetJob":{"sourceLink":"https://example.com#L49-L53","name":"Lake.Package.fetchFacetJob","line":49,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.Package.facetBuildKey":{"sourceLink":"https://example.com#L41-L42","name":"Lake.Package.facetBuildKey","line":41,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facetBuildKey","doc":""},"Lake.Package.facet":{"sourceLink":"https://example.com#L220-L221","name":"Lake.Package.facet","line":220,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facet","doc":"Build info for the package's specified facet. "},"Lake.Package.extraDepTargets":{"sourceLink":"https://example.com#L271-L272","name":"Lake.Package.extraDepTargets","line":271,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.extraDepTargets","doc":"The package's `extraDepTargets` configuration. "},"Lake.Package.extraDepFacetConfig":{"sourceLink":"https://example.com#L53-L54","name":"Lake.Package.extraDepFacetConfig","line":53,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.extraDepFacetConfig","doc":"The `PackageFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Package.extraDepFacet":{"sourceLink":"https://example.com#L95-L95","name":"Lake.Package.extraDepFacet","line":95,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.extraDepFacet","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.extraDep":{"sourceLink":"https://example.com#L228-L229","name":"Lake.Package.extraDep","line":228,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.extraDep","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.externLibs":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Package.externLibs","line":20,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.externLibs","doc":"The external libraries of the package (as an Array). "},"Lake.Package.externLibConfigs":{"sourceLink":"https://example.com#L198-L198","name":"Lake.Package.externLibConfigs","line":198,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.externLibConfigs","doc":"External library targets for the package. "},"Lake.Package.dir":{"sourceLink":"https://example.com#L180-L180","name":"Lake.Package.dir","line":180,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.dir","doc":"The path to the package's directory. "},"Lake.Package.depsFacetConfig":{"sourceLink":"https://example.com#L32-L33","name":"Lake.Package.depsFacetConfig","line":32,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.depsFacetConfig","doc":"The `PackageFacetConfig` for the builtin `depsFacet`. "},"Lake.Package.depsFacet":{"sourceLink":"https://example.com#L167-L167","name":"Lake.Package.depsFacet","line":167,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.depsFacet","doc":"The package's complete array of transitive dependencies. "},"Lake.Package.deps":{"sourceLink":"https://example.com#L248-L249","name":"Lake.Package.deps","line":248,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.deps","doc":"The package's direct dependencies. "},"Lake.Package.defaultTargets":{"sourceLink":"https://example.com#L205-L205","name":"Lake.Package.defaultTargets","line":205,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultTargets","doc":"The names of the package's targets to build by default\n(i.e., on a bare `lake build` of the package).\n"},"Lake.Package.defaultScripts":{"sourceLink":"https://example.com#L212-L212","name":"Lake.Package.defaultScripts","line":212,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultScripts","doc":"The names of the package's scripts run by default\n(i.e., on a bare `lake run` of the package).\n"},"Lake.Package.configEnv":{"sourceLink":"https://example.com#L184-L184","name":"Lake.Package.configEnv","line":184,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.configEnv","doc":"The elaboration environment of the package's configuration file. "},"Lake.Package.config":{"sourceLink":"https://example.com#L182-L182","name":"Lake.Package.config","line":182,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.config","doc":"The package's user-defined configuration. "},"Lake.Package.clean":{"sourceLink":"https://example.com#L365-L367","name":"Lake.Package.clean","line":365,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.clean","doc":"Remove the package's build outputs (i.e., delete its build directory). "},"Lake.Package.buildType":{"sourceLink":"https://example.com#L312-L313","name":"Lake.Package.buildType","line":312,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildType","doc":"The package's `buildType` configuration. "},"Lake.Package.buildDir":{"sourceLink":"https://example.com#L267-L268","name":"Lake.Package.buildDir","line":267,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildDir","doc":"The package's `dir` joined with its `buildDir` configuration. "},"Lake.Package.buildArchiveFile":{"sourceLink":"https://example.com#L296-L297","name":"Lake.Package.buildArchiveFile","line":296,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchiveFile","doc":"The package's `buildDir` joined with its `buildArchive` configuration. "},"Lake.Package.buildArchive?":{"sourceLink":"https://example.com#L288-L289","name":"Lake.Package.buildArchive?","line":288,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive?","doc":"The package's `buildArchive?` configuration. "},"Lake.Package.buildArchive":{"sourceLink":"https://example.com#L292-L293","name":"Lake.Package.buildArchive","line":292,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive","doc":"The file name of the package's build archive derived from `buildArchive?`. "},"Lake.Package.binDir":{"sourceLink":"https://example.com#L348-L349","name":"Lake.Package.binDir","line":348,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.binDir","doc":"The package's `buildDir` joined with its `binDir` configuration. "},"Lake.Package":{"sourceLink":"https://example.com#L178-L212","name":"Lake.Package","line":178,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.Package","doc":"A Lake package -- its location plus its configuration. "},"Lake.OrderedTagAttribute.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.OrderedTagAttribute.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.mk","doc":""},"Lake.OrderedTagAttribute.hasTag":{"sourceLink":"https://example.com#L42-L45","name":"Lake.OrderedTagAttribute.hasTag","line":42,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.hasTag","doc":""},"Lake.OrderedTagAttribute.ext":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrderedTagAttribute.ext","line":13,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.ext","doc":""},"Lake.OrderedTagAttribute.attr":{"sourceLink":"https://example.com#L12-L12","name":"Lake.OrderedTagAttribute.attr","line":12,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.attr","doc":""},"Lake.OrderedTagAttribute":{"sourceLink":"https://example.com#L11-L14","name":"Lake.OrderedTagAttribute","line":11,"kind":"structure","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute","doc":""},"Lake.OrdPackageSet.empty":{"sourceLink":"https://example.com#L227-L227","name":"Lake.OrdPackageSet.empty","line":227,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet.empty","doc":""},"Lake.OrdPackageSet":{"sourceLink":"https://example.com#L226-L226","name":"Lake.OrdPackageSet","line":226,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet","doc":""},"Lake.OrdModuleSet.empty":{"sourceLink":"https://example.com#L30-L30","name":"Lake.OrdModuleSet.empty","line":30,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet.empty","doc":""},"Lake.OrdModuleSet":{"sourceLink":"https://example.com#L29-L29","name":"Lake.OrdModuleSet","line":29,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet","doc":""},"Lake.OrdHashSet.toHashSet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OrdHashSet.toHashSet","line":14,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toHashSet","doc":""},"Lake.OrdHashSet.toArray":{"sourceLink":"https://example.com#L15-L15","name":"Lake.OrdHashSet.toArray","line":15,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toArray","doc":""},"Lake.OrdHashSet.ofArray":{"sourceLink":"https://example.com#L43-L44","name":"Lake.OrdHashSet.ofArray","line":43,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.ofArray","doc":""},"Lake.OrdHashSet.mkEmpty":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OrdHashSet.mkEmpty","line":24,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mkEmpty","doc":""},"Lake.OrdHashSet.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrdHashSet.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mk","doc":""},"Lake.OrdHashSet.instHAppendOrdHashSetArray":{"sourceLink":"https://example.com#L36-L36","name":"Lake.OrdHashSet.instHAppendOrdHashSetArray","line":36,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instHAppendOrdHashSetArray","doc":""},"Lake.OrdHashSet.instAppendOrdHashSet":{"sourceLink":"https://example.com#L41-L41","name":"Lake.OrdHashSet.instAppendOrdHashSet","line":41,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instAppendOrdHashSet","doc":""},"Lake.OrdHashSet.insert":{"sourceLink":"https://example.com#L27-L31","name":"Lake.OrdHashSet.insert","line":27,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.insert","doc":""},"Lake.OrdHashSet.foldrM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.OrdHashSet.foldrM","line":55,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldrM","doc":""},"Lake.OrdHashSet.foldr":{"sourceLink":"https://example.com#L52-L53","name":"Lake.OrdHashSet.foldr","line":52,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldr","doc":""},"Lake.OrdHashSet.foldlM":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OrdHashSet.foldlM","line":49,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldlM","doc":""},"Lake.OrdHashSet.foldl":{"sourceLink":"https://example.com#L46-L47","name":"Lake.OrdHashSet.foldl","line":46,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldl","doc":""},"Lake.OrdHashSet.empty":{"sourceLink":"https://example.com#L21-L22","name":"Lake.OrdHashSet.empty","line":21,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.empty","doc":""},"Lake.OrdHashSet.appendArray":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OrdHashSet.appendArray","line":33,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.appendArray","doc":""},"Lake.OrdHashSet.append":{"sourceLink":"https://example.com#L38-L39","name":"Lake.OrdHashSet.append","line":38,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.append","doc":""},"Lake.OrdHashSet":{"sourceLink":"https://example.com#L13-L15","name":"Lake.OrdHashSet","line":13,"kind":"structure","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet","doc":"A `HashSet` that preserves insertion order. "},"Lake.OptionTask":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OptionTask","line":14,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionTask","doc":""},"Lake.OptionIOTask":{"sourceLink":"https://example.com#L20-L20","name":"Lake.OptionIOTask","line":20,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionIOTask","doc":""},"Lake.OptionIO.toIO":{"sourceLink":"https://example.com#L27-L28","name":"Lake.OptionIO.toIO","line":27,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toIO","doc":""},"Lake.OptionIO.toEIO":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OptionIO.toEIO","line":24,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toEIO","doc":""},"Lake.OptionIO.toBaseIO":{"sourceLink":"https://example.com#L19-L22","name":"Lake.OptionIO.toBaseIO","line":19,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toBaseIO","doc":""},"Lake.OptionIO.orElse":{"sourceLink":"https://example.com#L36-L37","name":"Lake.OptionIO.orElse","line":36,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.orElse","doc":""},"Lake.OptionIO.mk":{"sourceLink":"https://example.com#L16-L17","name":"Lake.OptionIO.mk","line":16,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.mk","doc":""},"Lake.OptionIO.instAlternativeOptionIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.OptionIO.instAlternativeOptionIO","line":39,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.instAlternativeOptionIO","doc":""},"Lake.OptionIO.failure":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OptionIO.failure","line":33,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.failure","doc":""},"Lake.OptionIO.catchFailure":{"sourceLink":"https://example.com#L30-L31","name":"Lake.OptionIO.catchFailure","line":30,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.catchFailure","doc":""},"Lake.OptionIO.asTask":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OptionIO.asTask","line":49,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.asTask","doc":""},"Lake.OptionIO.OptionIO.finally":{"sourceLink":"https://example.com#L43-L47","name":"Lake.OptionIO.OptionIO.finally","line":43,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.OptionIO.finally","doc":""},"Lake.OptionIO":{"sourceLink":"https://example.com#L9-L9","name":"Lake.OptionIO","line":9,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO","doc":"Conceptually identical to `OptionT BaseIO`, but practically more efficient. "},"Lake.Option.compareWith":{"sourceLink":"https://example.com#L92-L96","name":"Lake.Option.compareWith","line":92,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Option.compareWith","doc":""},"Lake.OpaqueWorkspace.unsafeMk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeMk","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeMk","doc":""},"Lake.OpaqueWorkspace.unsafeGet":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeGet","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeGet","doc":""},"Lake.OpaqueWorkspace.nonemptyType":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace.nonemptyType","line":14,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace.nonemptyType","doc":""},"Lake.OpaqueWorkspace.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.mk","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.mk","doc":""},"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","doc":""},"Lake.OpaqueWorkspace.get_mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get_mk","line":35,"kind":"axiom","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get_mk","doc":""},"Lake.OpaqueWorkspace.get":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get","doc":""},"Lake.OpaqueWorkspace":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace","line":14,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace","doc":"Opaque reference to a `Workspace` used for forward declaration. "},"Lake.OpaqueTargetConfig.unsafeMk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeMk","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeMk","doc":""},"Lake.OpaqueTargetConfig.unsafeGet":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeGet","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeGet","doc":""},"Lake.OpaqueTargetConfig.nonemptyType":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig.nonemptyType","line":17,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig.nonemptyType","doc":""},"Lake.OpaqueTargetConfig.mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.mk","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.mk","doc":""},"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","doc":""},"Lake.OpaqueTargetConfig.get_mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get_mk","line":32,"kind":"axiom","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get_mk","doc":""},"Lake.OpaqueTargetConfig.get":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get","doc":""},"Lake.OpaqueTargetConfig":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig","line":17,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig","doc":"Opaque reference to a `TargetConfig` used for forward declaration. "},"Lake.OpaquePackage.unsafeMk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeMk","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeMk","doc":""},"Lake.OpaquePackage.unsafeGet":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeGet","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeGet","doc":""},"Lake.OpaquePackage.nonemptyType":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage.nonemptyType","line":11,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage.nonemptyType","doc":""},"Lake.OpaquePackage.mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.mk","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.mk","doc":""},"Lake.OpaquePackage.instInhabitedOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instInhabitedOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instInhabitedOpaquePackage","doc":""},"Lake.OpaquePackage.instCoePackageOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoePackageOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoePackageOpaquePackage","doc":""},"Lake.OpaquePackage.instCoeOpaquePackagePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoeOpaquePackagePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoeOpaquePackagePackage","doc":""},"Lake.OpaquePackage.get_mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get_mk","line":218,"kind":"axiom","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get_mk","doc":""},"Lake.OpaquePackage.get":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get","doc":""},"Lake.OpaquePackage":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage","line":11,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage","doc":"Opaque reference to a `Package` used for forward declaration. "},"Lake.NilTrace.nilTrace":{"sourceLink":"https://example.com#L36-L36","name":"Lake.NilTrace.nilTrace","line":36,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.nilTrace","doc":"The nil trace. Should not unduly clash with a proper trace. "},"Lake.NilTrace.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.NilTrace.mk","line":34,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.mk","doc":""},"Lake.NilTrace":{"sourceLink":"https://example.com#L34-L36","name":"Lake.NilTrace","line":34,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.NilTrace","doc":""},"Lake.NamedConfigDecl.name":{"sourceLink":"https://example.com#L49-L49","name":"Lake.NamedConfigDecl.name","line":49,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.name","doc":""},"Lake.NamedConfigDecl.mk":{"sourceLink":"https://example.com#L48-L48","name":"Lake.NamedConfigDecl.mk","line":48,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.mk","doc":""},"Lake.NamedConfigDecl.config":{"sourceLink":"https://example.com#L50-L50","name":"Lake.NamedConfigDecl.config","line":50,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.config","doc":""},"Lake.NamedConfigDecl":{"sourceLink":"https://example.com#L48-L50","name":"Lake.NamedConfigDecl","line":48,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl","doc":"A dependently typed configuration based on its registered name. "},"Lake.NamedArgument":{"sourceLink":"https://example.com#L14-L14","name":"Lake.NamedArgument","line":14,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.NamedArgument","doc":""},"Lake.NameMap.empty":{"sourceLink":"https://example.com#L15-L15","name":"Lake.NameMap.empty","line":15,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.NameMap.empty","doc":""},"Lake.Name.quoteFrom":{"sourceLink":"https://example.com#L69-L72","name":"Lake.Name.quoteFrom","line":69,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.Name.quoteFrom","doc":""},"Lake.Name.quickCmp_rfl":{"sourceLink":"https://example.com#L59-L61","name":"Lake.Name.quickCmp_rfl","line":59,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmp_rfl","doc":""},"Lake.Name.quickCmpAux_iff_eq":{"sourceLink":"https://example.com#L37-L47","name":"Lake.Name.quickCmpAux_iff_eq","line":37,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmpAux_iff_eq","doc":""},"Lake.Name.isPrefixOf_self":{"sourceLink":"https://example.com#L28-L29","name":"Lake.Name.isPrefixOf_self","line":28,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_self","doc":""},"Lake.Name.isPrefixOf_append":{"sourceLink":"https://example.com#L31-L35","name":"Lake.Name.isPrefixOf_append","line":31,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_append","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmpAux":{"sourceLink":"https://example.com#L49-L51","name":"Lake.Name.instLawfulCmpEqNameQuickCmpAux","line":49,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmpAux","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmp":{"sourceLink":"https://example.com#L63-L65","name":"Lake.Name.instLawfulCmpEqNameQuickCmp","line":63,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmp","doc":""},"Lake.Name.eq_of_quickCmp":{"sourceLink":"https://example.com#L53-L57","name":"Lake.Name.eq_of_quickCmp","line":53,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.eq_of_quickCmp","doc":""},"Lake.Name.beq_false":{"sourceLink":"https://example.com#L25-L26","name":"Lake.Name.beq_false","line":25,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.beq_false","doc":""},"Lake.NPackage.name_eq":{"sourceLink":"https://example.com#L235-L235","name":"Lake.NPackage.name_eq","line":235,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name_eq","doc":""},"Lake.NPackage.name":{"sourceLink":"https://example.com#L243-L243","name":"Lake.NPackage.name","line":243,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name","doc":"The package's name. "},"Lake.NPackage.mk":{"sourceLink":"https://example.com#L234-L234","name":"Lake.NPackage.mk","line":234,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.NPackage.mk","doc":""},"Lake.NPackage":{"sourceLink":"https://example.com#L234-L235","name":"Lake.NPackage","line":234,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.NPackage","doc":"A package with a name known at type-level. "},"Lake.MonadWorkspace":{"sourceLink":"https://example.com#L23-L24","name":"Lake.MonadWorkspace","line":23,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadWorkspace","doc":"A monad equipped with a (read-only) Lake `Workspace`. "},"Lake.MonadStore1.store":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadStore1.store","line":11,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.store","doc":""},"Lake.MonadStore1.mk":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadStore1.mk","line":9,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.mk","doc":""},"Lake.MonadStore1.fetch?":{"sourceLink":"https://example.com#L10-L10","name":"Lake.MonadStore1.fetch?","line":10,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.fetch?","doc":""},"Lake.MonadStore1":{"sourceLink":"https://example.com#L9-L11","name":"Lake.MonadStore1","line":9,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadStore1","doc":"A monad equipped with a dependently typed key-value store for a particular key. "},"Lake.MonadStore":{"sourceLink":"https://example.com#L25-L25","name":"Lake.MonadStore","line":25,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore","doc":"A monad equipped with a key-object store. "},"Lake.MonadLogT.ignoreLog":{"sourceLink":"https://example.com#L99-L100","name":"Lake.MonadLogT.ignoreLog","line":99,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.ignoreLog","doc":""},"Lake.MonadLogT.adaptMethods":{"sourceLink":"https://example.com#L95-L97","name":"Lake.MonadLogT.adaptMethods","line":95,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.adaptMethods","doc":""},"Lake.MonadLogT":{"sourceLink":"https://example.com#L85-L86","name":"Lake.MonadLogT","line":85,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT","doc":""},"Lake.MonadLog.nop":{"sourceLink":"https://example.com#L52-L53","name":"Lake.MonadLog.nop","line":52,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.nop","doc":""},"Lake.MonadLog.mk":{"sourceLink":"https://example.com#L26-L26","name":"Lake.MonadLog.mk","line":26,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.MonadLog.mk","doc":""},"Lake.MonadLog.log":{"sourceLink":"https://example.com#L28-L28","name":"Lake.MonadLog.log","line":28,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.log","doc":""},"Lake.MonadLog.lift":{"sourceLink":"https://example.com#L71-L73","name":"Lake.MonadLog.lift","line":71,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.lift","doc":""},"Lake.MonadLog.io":{"sourceLink":"https://example.com#L57-L62","name":"Lake.MonadLog.io","line":57,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.io","doc":""},"Lake.MonadLog.instMonadLog":{"sourceLink":"https://example.com#L75-L75","name":"Lake.MonadLog.instMonadLog","line":75,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instMonadLog","doc":""},"Lake.MonadLog.instInhabitedMonadLog":{"sourceLink":"https://example.com#L55-L55","name":"Lake.MonadLog.instInhabitedMonadLog","line":55,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instInhabitedMonadLog","doc":""},"Lake.MonadLog.getVerbosity":{"sourceLink":"https://example.com#L27-L27","name":"Lake.MonadLog.getVerbosity","line":27,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.getVerbosity","doc":""},"Lake.MonadLog.error":{"sourceLink":"https://example.com#L78-L79","name":"Lake.MonadLog.error","line":78,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.error","doc":"Log the given error message and then fail. "},"Lake.MonadLog.eio":{"sourceLink":"https://example.com#L64-L69","name":"Lake.MonadLog.eio","line":64,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.eio","doc":""},"Lake.MonadLog":{"sourceLink":"https://example.com#L26-L28","name":"Lake.MonadLog","line":26,"kind":"class","docLink":"./Lake/Util/Log.html#Lake.MonadLog","doc":""},"Lake.MonadLakeEnv":{"sourceLink":"https://example.com#L19-L20","name":"Lake.MonadLakeEnv","line":19,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLakeEnv","doc":"A monad equipped with a (read-only) detected environment for Lake. "},"Lake.MonadLake":{"sourceLink":"https://example.com#L27-L28","name":"Lake.MonadLake","line":27,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLake","doc":"A monad equipped with a (read-only) Lake context. "},"Lake.MonadExit.mk":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadExit.mk","line":11,"kind":"ctor","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.mk","doc":""},"Lake.MonadExit.exit":{"sourceLink":"https://example.com#L12-L12","name":"Lake.MonadExit.exit","line":12,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.exit","doc":""},"Lake.MonadExit":{"sourceLink":"https://example.com#L11-L12","name":"Lake.MonadExit","line":11,"kind":"class","docLink":"./Lake/Util/Exit.html#Lake.MonadExit","doc":""},"Lake.MonadError.runIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.MonadError.runIO","line":39,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runIO","doc":"Perform an IO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.runEIO":{"sourceLink":"https://example.com#L29-L33","name":"Lake.MonadError.runEIO","line":29,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runEIO","doc":"Perform an EIO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.mk":{"sourceLink":"https://example.com#L8-L8","name":"Lake.MonadError.mk","line":8,"kind":"ctor","docLink":"./Lake/Util/Error.html#Lake.MonadError.mk","doc":""},"Lake.MonadError.error":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadError.error","line":9,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.error","doc":""},"Lake.MonadError":{"sourceLink":"https://example.com#L8-L9","name":"Lake.MonadError","line":8,"kind":"class","docLink":"./Lake/Util/Error.html#Lake.MonadError","doc":""},"Lake.MonadDStore.store":{"sourceLink":"https://example.com#L18-L18","name":"Lake.MonadDStore.store","line":18,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.store","doc":""},"Lake.MonadDStore.mk":{"sourceLink":"https://example.com#L16-L16","name":"Lake.MonadDStore.mk","line":16,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.mk","doc":""},"Lake.MonadDStore.fetch?":{"sourceLink":"https://example.com#L17-L17","name":"Lake.MonadDStore.fetch?","line":17,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.fetch?","doc":""},"Lake.MonadDStore":{"sourceLink":"https://example.com#L16-L18","name":"Lake.MonadDStore","line":16,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadDStore","doc":"A monad equipped with a dependently typed key-object store. "},"Lake.MonadBuildStore":{"sourceLink":"https://example.com#L20-L20","name":"Lake.MonadBuildStore","line":20,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.MonadBuildStore","doc":"A monad equipped with a Lake build store. "},"Lake.ModuleSet.empty":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ModuleSet.empty","line":27,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet.empty","doc":""},"Lake.ModuleSet":{"sourceLink":"https://example.com#L26-L26","name":"Lake.ModuleSet","line":26,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet","doc":""},"Lake.ModuleMap.empty":{"sourceLink":"https://example.com#L33-L33","name":"Lake.ModuleMap.empty","line":33,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap.empty","doc":""},"Lake.ModuleMap":{"sourceLink":"https://example.com#L32-L32","name":"Lake.ModuleMap","line":32,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap","doc":""},"Lake.ModuleFacetDecl.fetch":{"sourceLink":"https://example.com#L58-L60","name":"Lake.ModuleFacetDecl.fetch","line":58,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetDecl.fetch","doc":"Fetch the build result of a module facet. "},"Lake.ModuleFacetDecl":{"sourceLink":"https://example.com#L56-L56","name":"Lake.ModuleFacetDecl","line":56,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetDecl","doc":"A module facet declaration from a configuration file. "},"Lake.ModuleFacetConfig.fetchJob":{"sourceLink":"https://example.com#L63-L67","name":"Lake.ModuleFacetConfig.fetchJob","line":63,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetConfig.fetchJob","doc":"Fetch the build job of a module facet. "},"Lake.ModuleFacetConfig":{"sourceLink":"https://example.com#L53-L53","name":"Lake.ModuleFacetConfig","line":53,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetConfig","doc":"A module facet's declarative configuration. "},"Lake.ModuleFacet.name":{"sourceLink":"https://example.com#L37-L37","name":"Lake.ModuleFacet.name","line":37,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.name","doc":"The name of the module facet. "},"Lake.ModuleFacet.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.ModuleFacet.mk","line":35,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.mk","doc":""},"Lake.ModuleFacet.data_eq":{"sourceLink":"https://example.com#L39-L39","name":"Lake.ModuleFacet.data_eq","line":39,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.data_eq","doc":"Proof that module's facet build result is of type α. "},"Lake.ModuleFacet":{"sourceLink":"https://example.com#L35-L40","name":"Lake.ModuleFacet","line":35,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet","doc":"A module facet name along with proof of its data type. "},"Lake.ModuleData.olean":{"sourceLink":"https://example.com#L74-L74","name":"Lake.ModuleData.olean","line":74,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.olean","doc":""},"Lake.ModuleData.o":{"sourceLink":"https://example.com#L86-L86","name":"Lake.ModuleData.o","line":86,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.o","doc":""},"Lake.ModuleData.lean.transImports":{"sourceLink":"https://example.com#L152-L152","name":"Lake.ModuleData.lean.transImports","line":152,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.transImports","doc":""},"Lake.ModuleData.lean.precompileImports":{"sourceLink":"https://example.com#L156-L156","name":"Lake.ModuleData.lean.precompileImports","line":156,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.precompileImports","doc":""},"Lake.ModuleData.lean.imports":{"sourceLink":"https://example.com#L148-L148","name":"Lake.ModuleData.lean.imports","line":148,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.imports","doc":""},"Lake.ModuleData.importBin":{"sourceLink":"https://example.com#L70-L70","name":"Lake.ModuleData.importBin","line":70,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.importBin","doc":""},"Lake.ModuleData.ilean":{"sourceLink":"https://example.com#L78-L78","name":"Lake.ModuleData.ilean","line":78,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.ilean","doc":""},"Lake.ModuleData.dynlib":{"sourceLink":"https://example.com#L160-L160","name":"Lake.ModuleData.dynlib","line":160,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.dynlib","doc":""},"Lake.ModuleData.deps":{"sourceLink":"https://example.com#L54-L54","name":"Lake.ModuleData.deps","line":54,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.deps","doc":""},"Lake.ModuleData.c":{"sourceLink":"https://example.com#L82-L82","name":"Lake.ModuleData.c","line":82,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.c","doc":""},"Lake.ModuleData.bin":{"sourceLink":"https://example.com#L62-L62","name":"Lake.ModuleData.bin","line":62,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.bin","doc":""},"Lake.ModuleData":{"sourceLink":"https://example.com#L24-L24","name":"Lake.ModuleData","line":24,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.ModuleData","doc":"The open type family which maps a module facet's name to its build data\nin the Lake build store. For example, a transitive × direct import pair\nfor the `lean.imports` facet or an active build target for `lean.c`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `module_data`).\n"},"Lake.Module.weakLeanArgs":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Module.weakLeanArgs","line":104,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.weakLeanArgs","doc":""},"Lake.Module.transImportsFacetConfig":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Module.transImportsFacetConfig","line":96,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.transImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `transImportsFacet`. "},"Lake.Module.transImportsFacet":{"sourceLink":"https://example.com#L151-L151","name":"Lake.Module.transImportsFacet","line":151,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.transImports":{"sourceLink":"https://example.com#L187-L188","name":"Lake.Module.transImports","line":187,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.traceFile":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Module.traceFile","line":76,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.traceFile","doc":""},"Lake.Module.srcPath":{"sourceLink":"https://example.com#L61-L62","name":"Lake.Module.srcPath","line":61,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.srcPath","doc":""},"Lake.Module.shouldPrecompile":{"sourceLink":"https://example.com#L113-L114","name":"Lake.Module.shouldPrecompile","line":113,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.shouldPrecompile","doc":""},"Lake.Module.rootDir":{"sourceLink":"https://example.com#L55-L56","name":"Lake.Module.rootDir","line":55,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.rootDir","doc":""},"Lake.Module.recParseImports":{"sourceLink":"https://example.com#L79-L84","name":"Lake.Module.recParseImports","line":79,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recParseImports","doc":"Recursively parse the Lean files of a module and its imports\nbuilding an `Array` product of its direct local imports.\n"},"Lake.Module.recComputeTransImports":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.recComputeTransImports","line":91,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputeTransImports","doc":"Recursively compute a module's transitive imports. "},"Lake.Module.recComputePrecompileImports":{"sourceLink":"https://example.com#L100-L105","name":"Lake.Module.recComputePrecompileImports","line":100,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputePrecompileImports","doc":"Recursively compute a module's precompiled imports. "},"Lake.Module.recBuildLeanO":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.recBuildLeanO","line":181,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanO","doc":"Recursively build the module's object file from its C file produced by `lean`. "},"Lake.Module.recBuildLeanCore":{"sourceLink":"https://example.com#L146-L149","name":"Lake.Module.recBuildLeanCore","line":146,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanCore","doc":"Recursively build a module and its dependencies. "},"Lake.Module.recBuildDynlib":{"sourceLink":"https://example.com#L190-L219","name":"Lake.Module.recBuildDynlib","line":190,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDynlib","doc":"Recursively build the shared library of a module (e.g., for `--load-dynlib`). "},"Lake.Module.recBuildDeps":{"sourceLink":"https://example.com#L112-L139","name":"Lake.Module.recBuildDeps","line":112,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDeps","doc":"Recursively build a module's transitive local imports and shared library dependencies. "},"Lake.Module.precompileImportsFacetConfig":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Module.precompileImportsFacetConfig","line":108,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.precompileImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `precompileImportsFacet`. "},"Lake.Module.precompileImportsFacet":{"sourceLink":"https://example.com#L155-L155","name":"Lake.Module.precompileImportsFacet","line":155,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.precompileImports":{"sourceLink":"https://example.com#L190-L191","name":"Lake.Module.precompileImports","line":190,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.pkg":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Module.pkg","line":52,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.pkg","doc":""},"Lake.Module.oleanFile":{"sourceLink":"https://example.com#L70-L71","name":"Lake.Module.oleanFile","line":70,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oleanFile","doc":""},"Lake.Module.oleanFacetConfig":{"sourceLink":"https://example.com#L162-L165","name":"Lake.Module.oleanFacetConfig","line":162,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oleanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oleanFacet`. "},"Lake.Module.oleanFacet":{"sourceLink":"https://example.com#L73-L73","name":"Lake.Module.oleanFacet","line":73,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oleanFacet","doc":"The `olean` file produced by `lean` "},"Lake.Module.olean":{"sourceLink":"https://example.com#L202-L203","name":"Lake.Module.olean","line":202,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.olean","doc":"The `olean` file produced by `lean` "},"Lake.Module.oFile":{"sourceLink":"https://example.com#L85-L86","name":"Lake.Module.oFile","line":85,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oFile","doc":""},"Lake.Module.oFacetConfig":{"sourceLink":"https://example.com#L185-L186","name":"Lake.Module.oFacetConfig","line":185,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oFacet`. "},"Lake.Module.oFacet":{"sourceLink":"https://example.com#L85-L85","name":"Lake.Module.oFacet","line":85,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oFacet","doc":"The object file built from `lean.c` "},"Lake.Module.o":{"sourceLink":"https://example.com#L211-L212","name":"Lake.Module.o","line":211,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.o","doc":"The object file built from `lean.c` "},"Lake.Module.nativeFacets":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Module.nativeFacets","line":116,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.nativeFacets","doc":""},"Lake.Module.name":{"sourceLink":"https://example.com#L16-L16","name":"Lake.Module.name","line":16,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.name","doc":""},"Lake.Module.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Module.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Module.html#Lake.Module.mk","doc":""},"Lake.Module.linkArgs":{"sourceLink":"https://example.com#L110-L111","name":"Lake.Module.linkArgs","line":110,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.linkArgs","doc":""},"Lake.Module.lib":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Module.lib","line":15,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.lib","doc":""},"Lake.Module.leancArgs":{"sourceLink":"https://example.com#L107-L108","name":"Lake.Module.leancArgs","line":107,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leancArgs","doc":""},"Lake.Module.leanLibPath":{"sourceLink":"https://example.com#L67-L68","name":"Lake.Module.leanLibPath","line":67,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanLibPath","doc":""},"Lake.Module.leanFile":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Module.leanFile","line":64,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanFile","doc":""},"Lake.Module.leanBinFacetConfig":{"sourceLink":"https://example.com#L152-L153","name":"Lake.Module.leanBinFacetConfig","line":152,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.leanBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `leanBinFacet`. "},"Lake.Module.leanBinFacet":{"sourceLink":"https://example.com#L61-L61","name":"Lake.Module.leanBinFacet","line":61,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.leanBinFacet","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanBin":{"sourceLink":"https://example.com#L196-L197","name":"Lake.Module.leanBin","line":196,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.leanBin","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.Module.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanArgs","doc":""},"Lake.Module.keyName":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Module.keyName","line":21,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.keyName","doc":"The name of the module as a key.\nUsed to create private modules (e.g., executable roots).\n"},"Lake.Module.irPath":{"sourceLink":"https://example.com#L79-L80","name":"Lake.Module.irPath","line":79,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.irPath","doc":""},"Lake.Module.instGetMTimeModule":{"sourceLink":"https://example.com#L124-L124","name":"Lake.Module.instGetMTimeModule","line":124,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instGetMTimeModule","doc":""},"Lake.Module.instComputeHashModuleIO":{"sourceLink":"https://example.com#L129-L129","name":"Lake.Module.instComputeHashModuleIO","line":129,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instComputeHashModuleIO","doc":""},"Lake.Module.instCheckExistsModule":{"sourceLink":"https://example.com#L134-L134","name":"Lake.Module.instCheckExistsModule","line":134,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instCheckExistsModule","doc":""},"Lake.Module.importsFacetConfig":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Module.importsFacetConfig","line":87,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importsFacet`. "},"Lake.Module.importsFacet":{"sourceLink":"https://example.com#L147-L147","name":"Lake.Module.importsFacet","line":147,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importsFacet","doc":"The direct local imports of the Lean module. "},"Lake.Module.imports":{"sourceLink":"https://example.com#L184-L185","name":"Lake.Module.imports","line":184,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.imports","doc":"The direct local imports of the Lean module. "},"Lake.Module.importBinFacetConfig":{"sourceLink":"https://example.com#L156-L159","name":"Lake.Module.importBinFacetConfig","line":156,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importBinFacet`. "},"Lake.Module.importBinFacet":{"sourceLink":"https://example.com#L69-L69","name":"Lake.Module.importBinFacet","line":69,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.importBinFacet","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.importBin":{"sourceLink":"https://example.com#L199-L200","name":"Lake.Module.importBin","line":199,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importBin","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.ileanFile":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Module.ileanFile","line":73,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.ileanFile","doc":""},"Lake.Module.ileanFacetConfig":{"sourceLink":"https://example.com#L168-L171","name":"Lake.Module.ileanFacetConfig","line":168,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.ileanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `ileanFacet`. "},"Lake.Module.ileanFacet":{"sourceLink":"https://example.com#L77-L77","name":"Lake.Module.ileanFacet","line":77,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.ileanFacet","doc":"The `ilean` file produced by `lean` "},"Lake.Module.ilean":{"sourceLink":"https://example.com#L205-L206","name":"Lake.Module.ilean","line":205,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.ilean","doc":"The `ilean` file produced by `lean` "},"Lake.Module.getMTime":{"sourceLink":"https://example.com#L121-L122","name":"Lake.Module.getMTime","line":121,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.getMTime","doc":""},"Lake.Module.filePath":{"sourceLink":"https://example.com#L58-L59","name":"Lake.Module.filePath","line":58,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.filePath","doc":""},"Lake.Module.fetchFacetJob":{"sourceLink":"https://example.com#L70-L74","name":"Lake.Module.fetchFacetJob","line":70,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Module.fetchFacetJob","doc":"Fetch the build job of a module facet. "},"Lake.Module.facetBuildKey":{"sourceLink":"https://example.com#L38-L39","name":"Lake.Module.facetBuildKey","line":38,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facetBuildKey","doc":""},"Lake.Module.facet":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.facet","line":181,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facet","doc":"Build info for the module's specified facet. "},"Lake.Module.dynlibSuffix":{"sourceLink":"https://example.com#L89-L89","name":"Lake.Module.dynlibSuffix","line":89,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibSuffix","doc":"Suffix for single module dynlibs (e.g., for precompilation). "},"Lake.Module.dynlibName":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.dynlibName","line":91,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibName","doc":""},"Lake.Module.dynlibFile":{"sourceLink":"https://example.com#L95-L96","name":"Lake.Module.dynlibFile","line":95,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibFile","doc":""},"Lake.Module.dynlibFacetConfig":{"sourceLink":"https://example.com#L222-L223","name":"Lake.Module.dynlibFacetConfig","line":222,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.dynlibFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Module.dynlibFacet":{"sourceLink":"https://example.com#L159-L159","name":"Lake.Module.dynlibFacet","line":159,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.dynlibFacet","doc":"Shared library for `--load-dynlib`. 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"},"Lake.LogT":{"sourceLink":"https://example.com#L111-L112","name":"Lake.LogT","line":111,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogT","doc":""},"Lake.LogLevel.warning":{"sourceLink":"https://example.com#L13-L13","name":"Lake.LogLevel.warning","line":13,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.warning","doc":""},"Lake.LogLevel.info":{"sourceLink":"https://example.com#L12-L12","name":"Lake.LogLevel.info","line":12,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.info","doc":""},"Lake.LogLevel.error":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LogLevel.error","line":14,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.error","doc":""},"Lake.LogLevel":{"sourceLink":"https://example.com#L11-L14","name":"Lake.LogLevel","line":11,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.LogLevel","doc":""},"Lake.LogIO.captureLog":{"sourceLink":"https://example.com#L108-L109","name":"Lake.LogIO.captureLog","line":108,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO.captureLog","doc":""},"Lake.LogIO":{"sourceLink":"https://example.com#L102-L103","name":"Lake.LogIO","line":102,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO","doc":""},"Lake.List.lt_irrefl":{"sourceLink":"https://example.com#L79-L82","name":"Lake.List.lt_irrefl","line":79,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.List.lt_irrefl","doc":""},"Lake.LibraryFacetDecl.fetch":{"sourceLink":"https://example.com#L86-L88","name":"Lake.LibraryFacetDecl.fetch","line":86,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetDecl.fetch","doc":"Fetch the build result of a library facet. "},"Lake.LibraryFacetDecl":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LibraryFacetDecl","line":68,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetDecl","doc":"A library facet declaration from a configuration file. "},"Lake.LibraryFacetConfig.fetchJob":{"sourceLink":"https://example.com#L91-L95","name":"Lake.LibraryFacetConfig.fetchJob","line":91,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetConfig.fetchJob","doc":"Fetch the build job of a library facet. "},"Lake.LibraryFacetConfig":{"sourceLink":"https://example.com#L65-L65","name":"Lake.LibraryFacetConfig","line":65,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetConfig","doc":"A library facet's declarative configuration. "},"Lake.LibraryData":{"sourceLink":"https://example.com#L54-L54","name":"Lake.LibraryData","line":54,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.LibraryData","doc":""},"Lake.LeanLibConfig.srcDir":{"sourceLink":"https://example.com#L26-L26","name":"Lake.LeanLibConfig.srcDir","line":26,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.srcDir","doc":"The subdirectory of the package's source directory containing the library's\nLean source files. 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"},"Lake.LeanLibConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLibConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.mk","doc":""},"Lake.LeanLibConfig.libName":{"sourceLink":"https://example.com#L53-L53","name":"Lake.LeanLibConfig.libName","line":53,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.libName","doc":"The name of the library.\nUsed as a base for the file names of its static and dynamic binaries.\nDefaults to the upper camel case name of the target.\n"},"Lake.LeanLibConfig.isLocalModule":{"sourceLink":"https://example.com#L85-L87","name":"Lake.LeanLibConfig.isLocalModule","line":85,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLibConfig.isBuildableModule":{"sourceLink":"https://example.com#L90-L92","name":"Lake.LeanLibConfig.isBuildableModule","line":90,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLibConfig.globs":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanLibConfig.globs","line":46,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.globs","doc":"An `Array` of module `Glob`s to build for the library.\nDefaults to a `Glob.one` of each of the library's `roots`.\n\nSubmodule globs build every source file within their directory.\nLocal imports of glob'ed files (i.e., fellow modules of the workspace) are\nalso recursively built.\n"},"Lake.LeanLibConfig.get":{"sourceLink":"https://example.com#L79-L83","name":"Lake.LeanLibConfig.get","line":79,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLibConfig.get","doc":"Get the Lean library in the workspace with the configuration's name. 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"},"Lake.LeanLib.rootDir":{"sourceLink":"https://example.com#L37-L38","name":"Lake.LeanLib.rootDir","line":37,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.rootDir","doc":"The library's root directory for `lean` (i.e., `srcDir`). 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"},"Lake.LeanLib.name":{"sourceLink":"https://example.com#L29-L30","name":"Lake.LeanLib.name","line":29,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.name","doc":"The library's well-formed name. "},"Lake.LeanLib.modulesFacetConfig":{"sourceLink":"https://example.com#L41-L42","name":"Lake.LeanLib.modulesFacetConfig","line":41,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.modulesFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `modulesFacet`. "},"Lake.LeanLib.modulesFacet":{"sourceLink":"https://example.com#L163-L163","name":"Lake.LeanLib.modulesFacet","line":163,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modulesFacet","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.modules":{"sourceLink":"https://example.com#L240-L241","name":"Lake.LeanLib.modules","line":240,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modules","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.mk","doc":""},"Lake.LeanLib.linkArgs":{"sourceLink":"https://example.com#L123-L124","name":"Lake.LeanLib.linkArgs","line":123,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the shared library.\nThat is, the package's `moreLinkArgs` plus the library's `moreLinkArgs`.\n"},"Lake.LeanLib.leancArgs":{"sourceLink":"https://example.com#L116-L117","name":"Lake.LeanLib.leancArgs","line":116,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leancArgs","doc":"The arguments to pass to `leanc` when compiling the library's C files.\nThat is, the build type's `leancArgs`, the package's `moreLeancArgs`,\nand then the library's `moreLeancArgs`.\n"},"Lake.LeanLib.leanFacetConfig":{"sourceLink":"https://example.com#L51-L52","name":"Lake.LeanLib.leanFacetConfig","line":51,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.leanFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `leanFacet`. "},"Lake.LeanLib.leanFacet":{"sourceLink":"https://example.com#L101-L101","name":"Lake.LeanLib.leanFacet","line":101,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.leanFacet","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.LeanLib.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leanArgs","doc":"The arguments to pass to `lean` when compiling the library's Lean files.\nThat is, the package's `moreLeanArgs` plus the library's `moreLeanArgs`.\n"},"Lake.LeanLib.lean":{"sourceLink":"https://example.com#L244-L245","name":"Lake.LeanLib.lean","line":244,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.lean","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.isLocalModule":{"sourceLink":"https://example.com#L48-L49","name":"Lake.LeanLib.isLocalModule","line":48,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLib.isBuildableModule":{"sourceLink":"https://example.com#L52-L53","name":"Lake.LeanLib.isBuildableModule","line":52,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLib.getModuleArray":{"sourceLink":"https://example.com#L40-L44","name":"Lake.LeanLib.getModuleArray","line":40,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.getModuleArray","doc":"Get an `Array` of the library's modules (as specified by its globs). "},"Lake.LeanLib.findModule?":{"sourceLink":"https://example.com#L36-L37","name":"Lake.LeanLib.findModule?","line":36,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.findModule?","doc":"Locate the named module in the library (if it is buildable and local to it). "},"Lake.LeanLib.fetchFacetJob":{"sourceLink":"https://example.com#L98-L102","name":"Lake.LeanLib.fetchFacetJob","line":98,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLib.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.LeanLib.facetBuildKey":{"sourceLink":"https://example.com#L47-L48","name":"Lake.LeanLib.facetBuildKey","line":47,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facetBuildKey","doc":""},"Lake.LeanLib.facet":{"sourceLink":"https://example.com#L236-L237","name":"Lake.LeanLib.facet","line":236,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facet","doc":"Build info of the Lean library's Lean binaries. "},"Lake.LeanLib.extraDepTargets":{"sourceLink":"https://example.com#L72-L73","name":"Lake.LeanLib.extraDepTargets","line":72,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.extraDepTargets","doc":"The library's `extraDepTargets` configuration. "},"Lake.LeanLib.extraDepFacetConfig":{"sourceLink":"https://example.com#L88-L89","name":"Lake.LeanLib.extraDepFacetConfig","line":88,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.extraDepFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `extraDepFacet`. "},"Lake.LeanLib.extraDepFacet":{"sourceLink":"https://example.com#L113-L113","name":"Lake.LeanLib.extraDepFacet","line":113,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.extraDepFacet","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.extraDep":{"sourceLink":"https://example.com#L256-L257","name":"Lake.LeanLib.extraDep","line":256,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.extraDep","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.defaultFacets":{"sourceLink":"https://example.com#L83-L84","name":"Lake.LeanLib.defaultFacets","line":83,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.defaultFacets","doc":"The library's `defaultFacets` configuration. "},"Lake.LeanLib.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanLib.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.config","doc":"The library's user-defined configuration. "},"Lake.LeanLib.buildType":{"sourceLink":"https://example.com#L94-L95","name":"Lake.LeanLib.buildType","line":94,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.buildType","doc":"The build type for modules of this library.\nThat is, the minimum of package's `buildType` and the library's `buildType`.\n"},"Lake.LeanLib":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanLib","line":12,"kind":"structure","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib","doc":"A Lean library -- its package plus its configuration. "},"Lake.LeanInstall.systemLibDir":{"sourceLink":"https://example.com#L43-L43","name":"Lake.LeanInstall.systemLibDir","line":43,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.systemLibDir","doc":""},"Lake.LeanInstall.sysroot":{"sourceLink":"https://example.com#L38-L38","name":"Lake.LeanInstall.sysroot","line":38,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sysroot","doc":""},"Lake.LeanInstall.srcDir":{"sourceLink":"https://example.com#L40-L40","name":"Lake.LeanInstall.srcDir","line":40,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.srcDir","doc":""},"Lake.LeanInstall.sharedLibPath":{"sourceLink":"https://example.com#L57-L61","name":"Lake.LeanInstall.sharedLibPath","line":57,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLibPath","doc":"A `SearchPath` including the Lean installation's shared library directories\n(i.e., the system library and Lean library directories).\n"},"Lake.LeanInstall.sharedLib":{"sourceLink":"https://example.com#L47-L47","name":"Lake.LeanInstall.sharedLib","line":47,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLib","doc":""},"Lake.LeanInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.mk","doc":""},"Lake.LeanInstall.leanc":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanInstall.leanc","line":46,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanc","doc":""},"Lake.LeanInstall.leanLibDir":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanInstall.leanLibDir","line":41,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanLibDir","doc":""},"Lake.LeanInstall.leanCc?":{"sourceLink":"https://example.com#L64-L65","name":"Lake.LeanInstall.leanCc?","line":64,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanCc?","doc":"The `LEAN_CC` of the Lean installation. "},"Lake.LeanInstall.lean":{"sourceLink":"https://example.com#L45-L45","name":"Lake.LeanInstall.lean","line":45,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.lean","doc":""},"Lake.LeanInstall.includeDir":{"sourceLink":"https://example.com#L42-L42","name":"Lake.LeanInstall.includeDir","line":42,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.includeDir","doc":""},"Lake.LeanInstall.githash":{"sourceLink":"https://example.com#L39-L39","name":"Lake.LeanInstall.githash","line":39,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.githash","doc":""},"Lake.LeanInstall.get.getGithash":{"sourceLink":"https://example.com#L133-L140","name":"Lake.LeanInstall.get.getGithash","line":133,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.getGithash","doc":""},"Lake.LeanInstall.get.findCc":{"sourceLink":"https://example.com#L147-L153","name":"Lake.LeanInstall.get.findCc","line":147,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findCc","doc":""},"Lake.LeanInstall.get.findAr":{"sourceLink":"https://example.com#L141-L146","name":"Lake.LeanInstall.get.findAr","line":141,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findAr","doc":""},"Lake.LeanInstall.get":{"sourceLink":"https://example.com#L124-L153","name":"Lake.LeanInstall.get","line":124,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get","doc":"Construct the `LeanInstall` object for the given Lean sysroot.\n\nDoes the following:\n1. Invokes `lean` to find out its `githash`.\n2. Finds the `ar` and `cc` to use with Lean.\n3. Computes the sub-paths of the Lean install.\n\nFor (1), if the invocation fails, `githash` is set to the empty string.\n\nFor (2), if `LEAN_AR` or `LEAN_CC` are defined, it uses those paths.\nOtherwise, if Lean is packaged with an `llvm-ar` and/or `clang`, use them.\nIf not, use the `ar` and/or `cc` in the system's `PATH`. This last step is\nneeded because internal builds of Lean do not bundle these tools\n(unlike user-facing releases).\n\nWe also track whether `LEAN_CC` was set to determine whether it should\nbe set in the future for `lake env`. This is because if `LEAN_CC` was not set,\nit needs to remain not set for `leanc` to work.\nEven setting it to the bundled compiler will break `leanc` -- see\n[leanprover/lean4#1281](https://github.com/leanprover/lean4/issues/1281).\n\nFor (3), it assumes that the Lean installation is organized the normal way.\nThat is, with its binaries located in `/bin`, its\nLean libraries in `/lib/lean`, and its system libraries in\n`/lib`.\n"},"Lake.LeanInstall.customCc":{"sourceLink":"https://example.com#L50-L50","name":"Lake.LeanInstall.customCc","line":50,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.customCc","doc":""},"Lake.LeanInstall.cc":{"sourceLink":"https://example.com#L49-L49","name":"Lake.LeanInstall.cc","line":49,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.cc","doc":""},"Lake.LeanInstall.binDir":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanInstall.binDir","line":44,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.binDir","doc":""},"Lake.LeanInstall.ar":{"sourceLink":"https://example.com#L48-L48","name":"Lake.LeanInstall.ar","line":48,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.ar","doc":""},"Lake.LeanInstall":{"sourceLink":"https://example.com#L37-L51","name":"Lake.LeanInstall","line":37,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall","doc":"Path information about the local Lean installation. "},"Lake.LeanExeConfig.toLeanLibConfig":{"sourceLink":"https://example.com#L30-L37","name":"Lake.LeanExeConfig.toLeanLibConfig","line":30,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExeConfig.toLeanLibConfig","doc":"Converts the executable configuration into a library\nwith a single module (the root).\n"},"Lake.LeanExeConfig.supportInterpreter":{"sourceLink":"https://example.com#L63-L63","name":"Lake.LeanExeConfig.supportInterpreter","line":63,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.supportInterpreter","doc":"Whether to expose symbols within the executable to the Lean interpreter.\nThis allows the executable to interpret Lean files (e.g., via\n`Lean.Elab.runFrontend`).\n\nImplementation-wise, this passes `-rdynamic` to the linker when building\non non-Windows systems.\n\nDefaults to `false`.\n"},"Lake.LeanExeConfig.srcDir":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LeanExeConfig.srcDir","line":23,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.srcDir","doc":"The subdirectory of the package's source directory containing the executable's\nLean source file. Defaults simply to said `srcDir`.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.LeanExeConfig.root":{"sourceLink":"https://example.com#L35-L35","name":"Lake.LeanExeConfig.root","line":35,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.root","doc":"The root module of the binary executable.\nShould include a `main` definition that will serve\nas the entry point of the program.\n\nThe root is built by recursively building its\nlocal imports (i.e., fellow modules of the workspace).\n\nDefaults to the name of the target.\n"},"Lake.LeanExeConfig.nativeFacets":{"sourceLink":"https://example.com#L51-L51","name":"Lake.LeanExeConfig.nativeFacets","line":51,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.nativeFacets","doc":"An `Array` of module facets to build and combine into the executable.\nDefaults to ``#[Module.oFacet]`` (i.e., the object file compiled from\nthe Lean source).\n"},"Lake.LeanExeConfig.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.LeanExeConfig.name","line":15,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.name","doc":"The name of the target. "},"Lake.LeanExeConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExeConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.mk","doc":""},"Lake.LeanExeConfig.get":{"sourceLink":"https://example.com#L107-L111","name":"Lake.LeanExeConfig.get","line":107,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.get","doc":"Get the Lean executable in the workspace with the configuration's name. "},"Lake.LeanExeConfig.fetch":{"sourceLink":"https://example.com#L114-L116","name":"Lake.LeanExeConfig.fetch","line":114,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.fetch","doc":"Fetch the build of the Lean executable. "},"Lake.LeanExeConfig.extraDepTargets":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanExeConfig.extraDepTargets","line":44,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.extraDepTargets","doc":"An `Array` of target names to build before the executable's modules. "},"Lake.LeanExeConfig.exeName":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanExeConfig.exeName","line":41,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.exeName","doc":"The name of the binary executable.\nDefaults to the target name with any `.` replaced with a `-`.\n"},"Lake.LeanExeConfig":{"sourceLink":"https://example.com#L13-L65","name":"Lake.LeanExeConfig","line":13,"kind":"structure","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig","doc":"A Lean executable's declarative configuration. "},"Lake.LeanExe.toLeanLib":{"sourceLink":"https://example.com#L46-L47","name":"Lake.LeanExe.toLeanLib","line":46,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.toLeanLib","doc":"Converts the executable into a library with a single module (the root). "},"Lake.LeanExe.root":{"sourceLink":"https://example.com#L50-L53","name":"Lake.LeanExe.root","line":50,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.root","doc":"The executable's root module. "},"Lake.LeanExe.recBuildExe":{"sourceLink":"https://example.com#L14-L23","name":"Lake.LeanExe.recBuildExe","line":14,"kind":"def","docLink":"./Lake/Build/Executable.html#Lake.LeanExe.recBuildExe","doc":""},"Lake.LeanExe.pkg":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LeanExe.pkg","line":14,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.pkg","doc":"The package the executable belongs to. "},"Lake.LeanExe.name":{"sourceLink":"https://example.com#L42-L43","name":"Lake.LeanExe.name","line":42,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.name","doc":"The executable's well-formed name. "},"Lake.LeanExe.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExe.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.mk","doc":""},"Lake.LeanExe.linkArgs":{"sourceLink":"https://example.com#L76-L80","name":"Lake.LeanExe.linkArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.linkArgs","doc":"The arguments to pass to `leanc` when linking the binary executable.\n\nThat is, `-rdynamic` (if non-Windows and `supportInterpreter`) plus the\npackage's and then the executable's `moreLinkArgs`.\n"},"Lake.LeanExe.isRoot?":{"sourceLink":"https://example.com#L56-L57","name":"Lake.LeanExe.isRoot?","line":56,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.isRoot?","doc":"Return the the root module if the name matches, otherwise return none. "},"Lake.LeanExe.fileName":{"sourceLink":"https://example.com#L63-L64","name":"Lake.LeanExe.fileName","line":63,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.fileName","doc":"The file name of binary executable\n(i.e., `exeName` plus the platform's `exeExtension`).\n"},"Lake.LeanExe.file":{"sourceLink":"https://example.com#L67-L68","name":"Lake.LeanExe.file","line":67,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.file","doc":"The path to the executable in the package's `binDir`. "},"Lake.LeanExe.fetch":{"sourceLink":"https://example.com#L107-L108","name":"Lake.LeanExe.fetch","line":107,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.fetch","doc":""},"Lake.LeanExe.exeFacet":{"sourceLink":"https://example.com#L117-L117","name":"Lake.LeanExe.exeFacet","line":117,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanExe.exeFacet","doc":"A Lean binary executable. "},"Lake.LeanExe.exe":{"sourceLink":"https://example.com#L260-L261","name":"Lake.LeanExe.exe","line":260,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.exe","doc":"Build info of the Lean executable. "},"Lake.LeanExe.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanExe.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.config","doc":"The executable's user-defined configuration. "},"Lake.LeanExe.buildKey":{"sourceLink":"https://example.com#L50-L51","name":"Lake.LeanExe.buildKey","line":50,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.buildKey","doc":""},"Lake.LeanExe.build":{"sourceLink":"https://example.com#L104-L105","name":"Lake.LeanExe.build","line":104,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.build","doc":""},"Lake.LeanExe":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanExe","line":12,"kind":"structure","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe","doc":"A Lean executable -- its package plus its configuration. "},"Lake.LeanConfig.weakLeanArgs":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LeanConfig.weakLeanArgs","line":68,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.weakLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n\nUnlike `moreLeanArgs`, these arguments do not affect the trace\nof the build result, so they can be changed without triggering a rebuild.\n"},"Lake.LeanConfig.moreLinkArgs":{"sourceLink":"https://example.com#L82-L82","name":"Lake.LeanConfig.moreLinkArgs","line":82,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLinkArgs","doc":"Additional arguments to pass to `leanc` when linking (e.g., for shared\nlibraries or binary executables). These will come *after* the paths of\nexternal libraries.\n"},"Lake.LeanConfig.moreLeancArgs":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LeanConfig.moreLeancArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeancArgs","doc":"Additional arguments to pass to `leanc`\nwhen compiling a module's C source files generated by `lean`.\n\nLake already passes some flags based on the `buildType`,\nbut you can change this by, for example, adding `-O0` and `-UNDEBUG`.\n"},"Lake.LeanConfig.moreLeanArgs":{"sourceLink":"https://example.com#L60-L60","name":"Lake.LeanConfig.moreLeanArgs","line":60,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n"},"Lake.LeanConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.mk","doc":""},"Lake.LeanConfig.buildType":{"sourceLink":"https://example.com#L55-L55","name":"Lake.LeanConfig.buildType","line":55,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.buildType","doc":"The mode in which the modules should be built (e.g., `debug`, `release`).\nDefaults to `release`.\n"},"Lake.LeanConfig":{"sourceLink":"https://example.com#L50-L83","name":"Lake.LeanConfig","line":50,"kind":"structure","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig","doc":"Configuration options common to targets that build modules. "},"Lake.LawfulCmpEq.mk":{"sourceLink":"https://example.com#L22-L22","name":"Lake.LawfulCmpEq.mk","line":22,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.mk","doc":""},"Lake.LawfulCmpEq.cmp_rfl":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LawfulCmpEq.cmp_rfl","line":23,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.cmp_rfl","doc":""},"Lake.LawfulCmpEq":{"sourceLink":"https://example.com#L22-L23","name":"Lake.LawfulCmpEq","line":22,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq","doc":"Proof that the equality of a compare function corresponds\nto propositional equality and vice versa.\n"},"Lake.LakeT.run":{"sourceLink":"https://example.com#L19-L20","name":"Lake.LakeT.run","line":19,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT.run","doc":""},"Lake.LakeT":{"sourceLink":"https://example.com#L17-L17","name":"Lake.LakeT","line":17,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT","doc":"A transformer to equip a monad with a `Lake.Context`. "},"Lake.LakeM.run":{"sourceLink":"https://example.com#L25-L26","name":"Lake.LakeM.run","line":25,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM.run","doc":""},"Lake.LakeM":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LakeM","line":23,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM","doc":"A monad equipped with a `Lake.Context`. "},"Lake.LakeInstall.srcDir":{"sourceLink":"https://example.com#L74-L74","name":"Lake.LakeInstall.srcDir","line":74,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.srcDir","doc":""},"Lake.LakeInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LakeInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.mk","doc":""},"Lake.LakeInstall.libDir":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LakeInstall.libDir","line":76,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.libDir","doc":""},"Lake.LakeInstall.lake":{"sourceLink":"https://example.com#L77-L77","name":"Lake.LakeInstall.lake","line":77,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.lake","doc":""},"Lake.LakeInstall.home":{"sourceLink":"https://example.com#L73-L73","name":"Lake.LakeInstall.home","line":73,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.home","doc":""},"Lake.LakeInstall.binDir":{"sourceLink":"https://example.com#L75-L75","name":"Lake.LakeInstall.binDir","line":75,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.binDir","doc":""},"Lake.LakeInstall":{"sourceLink":"https://example.com#L72-L78","name":"Lake.LakeInstall","line":72,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall","doc":"Path information about the local Lake installation. "},"Lake.JobM":{"sourceLink":"https://example.com#L17-L17","name":"Lake.JobM","line":17,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.JobM","doc":"The monad of Lake jobs. "},"Lake.Job.nil":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Job.nil","line":24,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.nil","doc":""},"Lake.Job.bindSync":{"sourceLink":"https://example.com#L33-L35","name":"Lake.Job.bindSync","line":33,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindSync","doc":""},"Lake.Job.bindAsync":{"sourceLink":"https://example.com#L37-L39","name":"Lake.Job.bindAsync","line":37,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindAsync","doc":""},"Lake.Job.await":{"sourceLink":"https://example.com#L30-L31","name":"Lake.Job.await","line":30,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.await","doc":""},"Lake.Job.async":{"sourceLink":"https://example.com#L27-L28","name":"Lake.Job.async","line":27,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.async","doc":""},"Lake.Job":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Job","line":14,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job","doc":"A Lake job. "},"Lake.IndexT":{"sourceLink":"https://example.com#L122-L122","name":"Lake.IndexT","line":122,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexT","doc":"A transformer to equip a monad with a build function for the Lake index. "},"Lake.IndexBuildM.run":{"sourceLink":"https://example.com#L77-L78","name":"Lake.IndexBuildM.run","line":77,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.IndexBuildM.run","doc":"Run the given recursive build using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.IndexBuildM":{"sourceLink":"https://example.com#L125-L125","name":"Lake.IndexBuildM","line":125,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildM","doc":"The monad for build functions that are part of the index. "},"Lake.IndexBuildFn":{"sourceLink":"https://example.com#L117-L119","name":"Lake.IndexBuildFn","line":117,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildFn","doc":"A build function for any element of the Lake build index. "},"Lake.Hole":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Hole","line":26,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Hole","doc":""},"Lake.Hash.val":{"sourceLink":"https://example.com#L82-L82","name":"Lake.Hash.val","line":82,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.val","doc":""},"Lake.Hash.toString":{"sourceLink":"https://example.com#L103-L104","name":"Lake.Hash.toString","line":103,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.toString","doc":""},"Lake.Hash.ofString":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Hash.ofString","line":108,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofString","doc":""},"Lake.Hash.ofNat":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Hash.ofNat","line":87,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofNat","doc":""},"Lake.Hash.ofByteArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.Hash.ofByteArray","line":111,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofByteArray","doc":""},"Lake.Hash.nil":{"sourceLink":"https://example.com#L93-L94","name":"Lake.Hash.nil","line":93,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.nil","doc":""},"Lake.Hash.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Hash.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.Hash.mk","doc":""},"Lake.Hash.mix":{"sourceLink":"https://example.com#L98-L99","name":"Lake.Hash.mix","line":98,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.mix","doc":""},"Lake.Hash.loadFromFile":{"sourceLink":"https://example.com#L90-L91","name":"Lake.Hash.loadFromFile","line":90,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.loadFromFile","doc":""},"Lake.Hash.instToStringHash":{"sourceLink":"https://example.com#L106-L106","name":"Lake.Hash.instToStringHash","line":106,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instToStringHash","doc":""},"Lake.Hash.instNilTraceHash":{"sourceLink":"https://example.com#L96-L96","name":"Lake.Hash.instNilTraceHash","line":96,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instNilTraceHash","doc":""},"Lake.Hash.instMixTraceHash":{"sourceLink":"https://example.com#L101-L101","name":"Lake.Hash.instMixTraceHash","line":101,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instMixTraceHash","doc":""},"Lake.Hash":{"sourceLink":"https://example.com#L81-L83","name":"Lake.Hash","line":81,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.Hash","doc":"A content hash.\nTODO: Use a secure hash rather than the builtin Lean hash function.\n"},"Lake.Glob.submodules":{"sourceLink":"https://example.com#L18-L19","name":"Lake.Glob.submodules","line":18,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.submodules","doc":"Selects all submodules of the specified module, but not the module itself. "},"Lake.Glob.one":{"sourceLink":"https://example.com#L16-L17","name":"Lake.Glob.one","line":16,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.one","doc":"Selects just the specified module name. "},"Lake.Glob.matches":{"sourceLink":"https://example.com#L39-L42","name":"Lake.Glob.matches","line":39,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.matches","doc":""},"Lake.Glob.forEachModuleIn":{"sourceLink":"https://example.com#L44-L50","name":"Lake.Glob.forEachModuleIn","line":44,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.forEachModuleIn","doc":""},"Lake.Glob.andSubmodules":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Glob.andSubmodules","line":20,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.andSubmodules","doc":"Selects the specified module and all submodules. "},"Lake.Glob":{"sourceLink":"https://example.com#L15-L22","name":"Lake.Glob","line":15,"kind":"inductive","docLink":"./Lake/Config/Glob.html#Lake.Glob","doc":"A specification of a set of module names. "},"Lake.GetMTime.mk":{"sourceLink":"https://example.com#L193-L193","name":"Lake.GetMTime.mk","line":193,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.mk","doc":""},"Lake.GetMTime.getMTime":{"sourceLink":"https://example.com#L194-L194","name":"Lake.GetMTime.getMTime","line":194,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.getMTime","doc":""},"Lake.GetMTime":{"sourceLink":"https://example.com#L193-L194","name":"Lake.GetMTime","line":193,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.GetMTime","doc":""},"Lake.FunBinder":{"sourceLink":"https://example.com#L43-L43","name":"Lake.FunBinder","line":43,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.FunBinder","doc":""},"Lake.Fin.eq_of_compare":{"sourceLink":"https://example.com#L66-L69","name":"Lake.Fin.eq_of_compare","line":66,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.Fin.eq_of_compare","doc":""},"Lake.FetchT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.FetchT","line":49,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.FetchT","doc":"A `DFetchT` that is not dependently typed. "},"Lake.FamilyOut.mk":{"sourceLink":"https://example.com#L141-L141","name":"Lake.FamilyOut.mk","line":141,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.mk","doc":""},"Lake.FamilyOut.family_key_eq_type":{"sourceLink":"https://example.com#L142-L142","name":"Lake.FamilyOut.family_key_eq_type","line":142,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.family_key_eq_type","doc":""},"Lake.FamilyOut":{"sourceLink":"https://example.com#L141-L142","name":"Lake.FamilyOut","line":141,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyOut","doc":"Like `FamilyDef`, but `β` is an `outParam`. "},"Lake.FamilyDef.mk":{"sourceLink":"https://example.com#L137-L137","name":"Lake.FamilyDef.mk","line":137,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.mk","doc":""},"Lake.FamilyDef.family_key_eq_type":{"sourceLink":"https://example.com#L138-L138","name":"Lake.FamilyDef.family_key_eq_type","line":138,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.family_key_eq_type","doc":""},"Lake.FamilyDef":{"sourceLink":"https://example.com#L137-L138","name":"Lake.FamilyDef","line":137,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyDef","doc":"Defines a single mapping of the **open type family** `Fam`, namely `Fam a = β`.\nSee the module documentation of `Lake.Util.Family` for details on what an open\ntype family is in Lake.\n"},"Lake.FacetConfig.name":{"sourceLink":"https://example.com#L19-L19","name":"Lake.FacetConfig.name","line":19,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.name","doc":""},"Lake.FacetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.FacetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.mk","doc":""},"Lake.FacetConfig.getJob?":{"sourceLink":"https://example.com#L16-L16","name":"Lake.FacetConfig.getJob?","line":16,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.getJob?","doc":"Does this facet produce an associated asynchronous job? "},"Lake.FacetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.FacetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.build","doc":"The facet's build (function). "},"Lake.FacetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.FacetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig","doc":"A facet's declarative configuration. "},"Lake.ExternLibDecl.pkg":{"sourceLink":"https://example.com#L19-L19","name":"Lake.ExternLibDecl.pkg","line":19,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.pkg","doc":""},"Lake.ExternLibDecl.name":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ExternLibDecl.name","line":20,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.name","doc":""},"Lake.ExternLibDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLibDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.mk","doc":""},"Lake.ExternLibDecl.config":{"sourceLink":"https://example.com#L21-L21","name":"Lake.ExternLibDecl.config","line":21,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.config","doc":""},"Lake.ExternLibDecl":{"sourceLink":"https://example.com#L18-L21","name":"Lake.ExternLibDecl","line":18,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.ExternLibConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.ExternLibConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.mk","doc":""},"Lake.ExternLibConfig.getJob":{"sourceLink":"https://example.com#L14-L14","name":"Lake.ExternLibConfig.getJob","line":14,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.getJob","doc":"The library's build data. "},"Lake.ExternLibConfig":{"sourceLink":"https://example.com#L12-L15","name":"Lake.ExternLibConfig","line":12,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig","doc":"A external library's declarative configuration. "},"Lake.ExternLib.staticTargetName":{"sourceLink":"https://example.com#L37-L38","name":"Lake.ExternLib.staticTargetName","line":37,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.staticTargetName","doc":"The name of the package target used to build the external library's static binary. "},"Lake.ExternLib.staticFacet":{"sourceLink":"https://example.com#L121-L121","name":"Lake.ExternLib.staticFacet","line":121,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.staticFacet","doc":"A external library's static binary. "},"Lake.ExternLib.staticBuildKey":{"sourceLink":"https://example.com#L53-L54","name":"Lake.ExternLib.staticBuildKey","line":53,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.staticBuildKey","doc":""},"Lake.ExternLib.static":{"sourceLink":"https://example.com#L264-L265","name":"Lake.ExternLib.static","line":264,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.static","doc":"Build info of the external library's static binary. "},"Lake.ExternLib.sharedFacet":{"sourceLink":"https://example.com#L125-L125","name":"Lake.ExternLib.sharedFacet","line":125,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.sharedFacet","doc":"A external library's shared binary. "},"Lake.ExternLib.sharedBuildKey":{"sourceLink":"https://example.com#L56-L57","name":"Lake.ExternLib.sharedBuildKey","line":56,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.sharedBuildKey","doc":""},"Lake.ExternLib.shared":{"sourceLink":"https://example.com#L268-L269","name":"Lake.ExternLib.shared","line":268,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.shared","doc":"Build info of the external library's shared binary. "},"Lake.ExternLib.recComputeDynlib":{"sourceLink":"https://example.com#L35-L36","name":"Lake.ExternLib.recComputeDynlib","line":35,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recComputeDynlib","doc":""},"Lake.ExternLib.recBuildStatic":{"sourceLink":"https://example.com#L29-L30","name":"Lake.ExternLib.recBuildStatic","line":29,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildStatic","doc":""},"Lake.ExternLib.recBuildShared":{"sourceLink":"https://example.com#L32-L33","name":"Lake.ExternLib.recBuildShared","line":32,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildShared","doc":""},"Lake.ExternLib.pkg":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ExternLib.pkg","line":13,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.pkg","doc":"The package the library belongs to. "},"Lake.ExternLib.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ExternLib.name","line":15,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.name","doc":"The external library's name. "},"Lake.ExternLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.mk","doc":""},"Lake.ExternLib.linkArgs":{"sourceLink":"https://example.com#L33-L34","name":"Lake.ExternLib.linkArgs","line":33,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the external library.\nThat is, the package's `moreLinkArgs`.\n"},"Lake.ExternLib.dynlibFacet":{"sourceLink":"https://example.com#L129-L129","name":"Lake.ExternLib.dynlibFacet","line":129,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.dynlibFacet","doc":"A external library's dynlib. "},"Lake.ExternLib.dynlibBuildKey":{"sourceLink":"https://example.com#L59-L60","name":"Lake.ExternLib.dynlibBuildKey","line":59,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlibBuildKey","doc":""},"Lake.ExternLib.dynlib":{"sourceLink":"https://example.com#L272-L273","name":"Lake.ExternLib.dynlib","line":272,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlib","doc":"Build info of the external library's dynlib. "},"Lake.ExternLib.config":{"sourceLink":"https://example.com#L17-L17","name":"Lake.ExternLib.config","line":17,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.config","doc":"The library's user-defined configuration. "},"Lake.ExternLib":{"sourceLink":"https://example.com#L11-L17","name":"Lake.ExternLib","line":11,"kind":"structure","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib","doc":"An external library -- its package plus its configuration. "},"Lake.ExitCode":{"sourceLink":"https://example.com#L9-L9","name":"Lake.ExitCode","line":9,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.ExitCode","doc":"A process exit / return code. "},"Lake.EquipT.tryCatch":{"sourceLink":"https://example.com#L87-L88","name":"Lake.EquipT.tryCatch","line":87,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.tryCatch","doc":""},"Lake.EquipT.throw":{"sourceLink":"https://example.com#L83-L84","name":"Lake.EquipT.throw","line":83,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.throw","doc":""},"Lake.EquipT.seq":{"sourceLink":"https://example.com#L46-L47","name":"Lake.EquipT.seq","line":46,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.seq","doc":""},"Lake.EquipT.run":{"sourceLink":"https://example.com#L24-L25","name":"Lake.EquipT.run","line":24,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.run","doc":""},"Lake.EquipT.pure":{"sourceLink":"https://example.com#L35-L36","name":"Lake.EquipT.pure","line":35,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.pure","doc":""},"Lake.EquipT.orElse":{"sourceLink":"https://example.com#L75-L76","name":"Lake.EquipT.orElse","line":75,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.orElse","doc":""},"Lake.EquipT.map":{"sourceLink":"https://example.com#L28-L29","name":"Lake.EquipT.map","line":28,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.map","doc":""},"Lake.EquipT.lift":{"sourceLink":"https://example.com#L64-L65","name":"Lake.EquipT.lift","line":64,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.lift","doc":""},"Lake.EquipT.instSeqEquipT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.EquipT.instSeqEquipT","line":49,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instSeqEquipT","doc":""},"Lake.EquipT.instPureEquipT":{"sourceLink":"https://example.com#L38-L39","name":"Lake.EquipT.instPureEquipT","line":38,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instPureEquipT","doc":""},"Lake.EquipT.instMonadLiftEquipT":{"sourceLink":"https://example.com#L67-L68","name":"Lake.EquipT.instMonadLiftEquipT","line":67,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadLiftEquipT","doc":""},"Lake.EquipT.instMonadExceptOfEquipT":{"sourceLink":"https://example.com#L90-L92","name":"Lake.EquipT.instMonadExceptOfEquipT","line":90,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadExceptOfEquipT","doc":""},"Lake.EquipT.instMonadEquipT":{"sourceLink":"https://example.com#L61-L61","name":"Lake.EquipT.instMonadEquipT","line":61,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadEquipT","doc":""},"Lake.EquipT.instFunctorEquipT":{"sourceLink":"https://example.com#L31-L32","name":"Lake.EquipT.instFunctorEquipT","line":31,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instFunctorEquipT","doc":""},"Lake.EquipT.instBindEquipT":{"sourceLink":"https://example.com#L58-L59","name":"Lake.EquipT.instBindEquipT","line":58,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instBindEquipT","doc":""},"Lake.EquipT.instApplicativeEquipT":{"sourceLink":"https://example.com#L52-L52","name":"Lake.EquipT.instApplicativeEquipT","line":52,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instApplicativeEquipT","doc":""},"Lake.EquipT.instAlternativeEquipT":{"sourceLink":"https://example.com#L78-L80","name":"Lake.EquipT.instAlternativeEquipT","line":78,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instAlternativeEquipT","doc":""},"Lake.EquipT.failure":{"sourceLink":"https://example.com#L71-L72","name":"Lake.EquipT.failure","line":71,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.failure","doc":""},"Lake.EquipT.compose":{"sourceLink":"https://example.com#L42-L43","name":"Lake.EquipT.compose","line":42,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.compose","doc":""},"Lake.EquipT.bind":{"sourceLink":"https://example.com#L55-L56","name":"Lake.EquipT.bind","line":55,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.bind","doc":""},"Lake.EquipT":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EquipT","line":13,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT","doc":"A monad transformer that equips a monad with a value.\nThis is a generalization of `ReaderT` where the value is not\nnecessarily directly readable through the monad.\n"},"Lake.EqOfCmpWrt.mk":{"sourceLink":"https://example.com#L36-L36","name":"Lake.EqOfCmpWrt.mk","line":36,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.mk","doc":""},"Lake.EqOfCmpWrt.eq_of_cmp_wrt":{"sourceLink":"https://example.com#L37-L37","name":"Lake.EqOfCmpWrt.eq_of_cmp_wrt","line":37,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.eq_of_cmp_wrt","doc":""},"Lake.EqOfCmpWrt":{"sourceLink":"https://example.com#L36-L37","name":"Lake.EqOfCmpWrt","line":36,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt","doc":"Proof that the equality of a compare function corresponds\nto propositional equality with respect to a given function.\n"},"Lake.EqOfCmp.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.EqOfCmp.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.mk","doc":""},"Lake.EqOfCmp.eq_of_cmp":{"sourceLink":"https://example.com#L14-L14","name":"Lake.EqOfCmp.eq_of_cmp","line":14,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.eq_of_cmp","doc":""},"Lake.EqOfCmp":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EqOfCmp","line":13,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp","doc":"Proof that the equality of a compare function corresponds\nto propositional equality.\n"},"Lake.Env.vars":{"sourceLink":"https://example.com#L97-L106","name":"Lake.Env.vars","line":97,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.vars","doc":"Environment variable settings for the `Lake.Env`. "},"Lake.Env.sharedLibPath":{"sourceLink":"https://example.com#L83-L84","name":"Lake.Env.sharedLibPath","line":83,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.sharedLibPath","doc":"The shared library search path of the environment.\nCombines the initial path of the environment with that of the Lean installation.\n"},"Lake.Env.path":{"sourceLink":"https://example.com#L51-L55","name":"Lake.Env.path","line":51,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.path","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Env.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Env.html#Lake.Env.mk","doc":""},"Lake.Env.leanSrcPath":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Env.leanSrcPath","line":76,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSrcPath","doc":"The Lean source search path of the environment (i.e., `LEAN_SRC_PATH`).\nCombines the initial path of the environment with that of the Lake abd Lean\ninstallations.\n"},"Lake.Env.leanSearchPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Env.leanSearchPath","line":128,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSearchPath","doc":"The default search path the Lake executable\nuses when interpreting package configuration files.\n\nIn order to use the Lean stdlib (e.g., `Init`),\nthe executable needs the search path to include the directory\nwith the stdlib's `.olean` files (e.g., from `/lib/lean`).\nIn order to use Lake's modules as well, the search path also\nneeds to include Lake's `.olean` files (e.g., from `build`).\n\nWhile this can be done by having the user augment `LEAN_PATH` with\nthe necessary directories, Lake also intelligently augments the initial\nsearch path with the `.olean` directories of the provided Lean and Lake\ninstallations.\n\nSee `findInstall?` for more information on how Lake determines those\ndirectories. If everything is configured as expected, the user will not\nneed to augment `LEAN_PATH`. Otherwise, they will need to provide Lake\nwith more information (either through `LEAN_PATH` or through other options).\n"},"Lake.Env.leanPath":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Env.leanPath","line":68,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanPath","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.lean":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Env.lean","line":24,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lean","doc":"The Lean installation of the environment. "},"Lake.Env.lake":{"sourceLink":"https://example.com#L22-L22","name":"Lake.Env.lake","line":22,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lake","doc":"The Lake installation of the environment. "},"Lake.Env.installVars":{"sourceLink":"https://example.com#L87-L94","name":"Lake.Env.installVars","line":87,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.installVars","doc":"Environment variable settings based only on the Lean and Lake installations. "},"Lake.Env.initSharedLibPath":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Env.initSharedLibPath","line":30,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initSharedLibPath","doc":"The initial shared library search path of the environment. "},"Lake.Env.initPath":{"sourceLink":"https://example.com#L32-L32","name":"Lake.Env.initPath","line":32,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initPath","doc":"The initial binary search path of the environment (i.e., `PATH`). "},"Lake.Env.initLeanSrcPath":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Env.initLeanSrcPath","line":28,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanSrcPath","doc":"The initial Lean source search path of the environment (i.e., `LEAN_SRC_PATH`). "},"Lake.Env.initLeanPath":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Env.initLeanPath","line":26,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanPath","doc":"The initial Lean library search path of the environment (i.e., `LEAN_PATH`). "},"Lake.Env.compute":{"sourceLink":"https://example.com#L38-L45","name":"Lake.Env.compute","line":38,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.compute","doc":"Compute an `Lake.Env` object from the given installs and set environment variables. "},"Lake.Env":{"sourceLink":"https://example.com#L20-L33","name":"Lake.Env","line":20,"kind":"structure","docLink":"./Lake/Config/Env.html#Lake.Env","doc":"A Lake environment. "},"Lake.Ellipsis":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Ellipsis","line":13,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Ellipsis","doc":""},"Lake.ETask":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ETask","line":13,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.ETask","doc":""},"Lake.EStateT.run'":{"sourceLink":"https://example.com#L19-L20","name":"Lake.EStateT.run'","line":19,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run'","doc":""},"Lake.EStateT.run":{"sourceLink":"https://example.com#L16-L17","name":"Lake.EStateT.run","line":16,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run","doc":""},"Lake.EStateT":{"sourceLink":"https://example.com#L10-L11","name":"Lake.EStateT","line":10,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT","doc":"An exception plus state monad transformer (ι.e., `ExceptT` + `StateT`). "},"Lake.EIOTask":{"sourceLink":"https://example.com#L19-L19","name":"Lake.EIOTask","line":19,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.EIOTask","doc":""},"Lake.Dynlib.path":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Dynlib.path","line":24,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.path","doc":"Library file path. "},"Lake.Dynlib.name":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Dynlib.name","line":26,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.name","doc":"Library name without platform-specific prefix/suffix (for `-l`). "},"Lake.Dynlib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dynlib.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.mk","doc":""},"Lake.Dynlib.dir?":{"sourceLink":"https://example.com#L29-L30","name":"Lake.Dynlib.dir?","line":29,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.dir?","doc":"Optional library directory (for `-L`). "},"Lake.Dynlib":{"sourceLink":"https://example.com#L22-L26","name":"Lake.Dynlib","line":22,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.Dynlib","doc":"A dynamic/shared library for linking. "},"Lake.Dependency.src":{"sourceLink":"https://example.com#L35-L35","name":"Lake.Dependency.src","line":35,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.src","doc":"The source of a dependency.\nSee the documentation of `Source` for more information.\n"},"Lake.Dependency.opts":{"sourceLink":"https://example.com#L39-L39","name":"Lake.Dependency.opts","line":39,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.opts","doc":"Arguments to pass to the dependency's package configuration.\n"},"Lake.Dependency.name":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Dependency.name","line":30,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.name","doc":"A `Name` for the dependency.\nThe names of a package's dependencies cannot clash.\n"},"Lake.Dependency.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dependency.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.mk","doc":""},"Lake.Dependency":{"sourceLink":"https://example.com#L25-L41","name":"Lake.Dependency","line":25,"kind":"structure","docLink":"./Lake/Config/Dependency.html#Lake.Dependency","doc":"A `Dependency` of a package. "},"Lake.DSL.targetDecl":{"sourceLink":"https://example.com#L123-L140","name":"Lake.DSL.targetDecl","line":123,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.targetDecl","doc":"Define a new custom target for the package. Has one form:\n\n```lean\ntarget «target-name» (pkg : NPackage _package.name) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n"},"Lake.DSL.structVal":{"sourceLink":"https://example.com#L27-L28","name":"Lake.DSL.structVal","line":27,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structVal","doc":""},"Lake.DSL.structDeclSig":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DSL.structDeclSig","line":45,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structDeclSig","doc":""},"Lake.DSL.simpleDeclSig":{"sourceLink":"https://example.com#L42-L43","name":"Lake.DSL.simpleDeclSig","line":42,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleDeclSig","doc":""},"Lake.DSL.simpleBinder":{"sourceLink":"https://example.com#L51-L52","name":"Lake.DSL.simpleBinder","line":51,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleBinder","doc":""},"Lake.DSL.scriptDeclSpec":{"sourceLink":"https://example.com#L13-L14","name":"Lake.DSL.scriptDeclSpec","line":13,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDeclSpec","doc":""},"Lake.DSL.scriptDecl":{"sourceLink":"https://example.com#L16-L25","name":"Lake.DSL.scriptDecl","line":16,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDecl","doc":"Define a new Lake script for the package. Has two forms:\n\n```lean\nscript «script-name» (args) do /- ... -/\nscript «script-name» (args) := ...\n```\n"},"Lake.DSL.requireDecl":{"sourceLink":"https://example.com#L56-L57","name":"Lake.DSL.requireDecl","line":56,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.requireDecl","doc":"Adds a new package dependency to the workspace. Has two forms:\n\n```lean\nrequire foo from \"path\"/\"to\"/\"local\"/\"package\" with NameMap.empty\nrequire bar from git \"url.git\"@\"rev\"/\"optional\"/\"path-to\"/\"dir-with-pkg\"\n```\n\nEither form supports the optional `with` clause.\nThe `@\"rev\"` and `/\"path\"/\"dir\"` parts of the git form of `require`\nare optional.\n\nThe elements of both the `from` and `with` clauses are proper terms so\nnormal computation is supported within them (though parentheses made be\nrequired to disambiguate the syntax).\n"},"Lake.DSL.packageFacetDecl":{"sourceLink":"https://example.com#L61-L77","name":"Lake.DSL.packageFacetDecl","line":61,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.packageFacetDecl","doc":"Define a new package facet. Has one form:\n\n```lean\npackage_facet «facet-name» (pkg : Package) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\n"},"Lake.DSL.packageDeclName":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.packageDeclName","line":14,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDeclName","doc":"The name given to the definition created by the `package` syntax. "},"Lake.DSL.packageDecl":{"sourceLink":"https://example.com#L29-L35","name":"Lake.DSL.packageDecl","line":29,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDecl","doc":"Defines the configuration of a Lake package. Has many forms:\n\n```lean\npackage «pkg-name»\npackage «pkg-name» { /- config opts -/ }\npackage «pkg-name» where /- config opts -/\npackage «pkg-name» : PackageConfig := /- config -/\n```\n\nThere can only be one `package` declaration per Lake configuration file.\nThe defined package configuration will be available for reference as `_package`.\n"},"Lake.DSL.moduleFacetDecl":{"sourceLink":"https://example.com#L33-L49","name":"Lake.DSL.moduleFacetDecl","line":33,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.moduleFacetDecl","doc":"Define a new module facet. Has one form:\n\n```lean\nmodule_facet «facet-name» (mod : Module) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `mod` parameter (and its type specifier) is optional.\n"},"Lake.DSL.mkConfigStructDecl":{"sourceLink":"https://example.com#L72-L86","name":"Lake.DSL.mkConfigStructDecl","line":72,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.mkConfigStructDecl","doc":""},"Lake.DSL.metaIf":{"sourceLink":"https://example.com#L28-L53","name":"Lake.DSL.metaIf","line":28,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.metaIf","doc":"The `meta if` command has two forms:\n\n```lean\nmeta if then \nmeta if then else \n```\n\nIt expands to the command `a` if the term `c` evaluates to true\n(at elaboration time). Otherwise, it expands to command `b` (if an `else`\nclause is provided).\n\nOne can use this command to specify, for example, external library targets\nonly available on specific platforms:\n\n```lean\nmeta if System.Platform.isWindows then\nextern_lib winOnlyLib := ...\nelse meta if System.Platform.isOSX then\nextern_lib macOnlyLib := ...\nelse\nextern_lib linuxOnlyLib := ...\n```\n"},"Lake.DSL.libraryFacetDecl":{"sourceLink":"https://example.com#L89-L105","name":"Lake.DSL.libraryFacetDecl","line":89,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.libraryFacetDecl","doc":"Define a new library facet. Has one form:\n\n```lean\nlibrary_facet «facet-name» (lib : LeanLib) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `lib` parameter (and its type specifier) is optional.\n"},"Lake.DSL.leanLibDecl":{"sourceLink":"https://example.com#L159-L165","name":"Lake.DSL.leanLibDecl","line":159,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanLibDecl","doc":"Define a new Lean library target for the package.\nCan optionally be provided with a configuration of type `LeanLibConfig`.\nHas many forms:\n\n```lean\nlean_lib «target-name»\nlean_lib «target-name» { /- config opts -/ }\nlean_lib «target-name» where /- config opts -/\nlean_lib «target-name» := /- config -/\n```\n"},"Lake.DSL.leanExeDecl":{"sourceLink":"https://example.com#L179-L185","name":"Lake.DSL.leanExeDecl","line":179,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanExeDecl","doc":"Define a new Lean binary executable target for the package.\nCan optionally be provided with a configuration of type `LeanExeConfig`.\nHas many forms:\n\n```lean\nlean_exe «target-name»\nlean_exe «target-name» { /- config opts -/ }\nlean_exe «target-name» where /- config opts -/\nlean_exe «target-name» := /- config -/\n```\n"},"Lake.DSL.getConfig":{"sourceLink":"https://example.com#L41-L48","name":"Lake.DSL.getConfig","line":41,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.getConfig","doc":"A macro that expands to the specified configuration option (or `none`,\nif not the option has not been set) during the Lakefile's elaboration.\n\nConfiguration arguments are set either via the Lake CLI (by the `-K` option)\nor via the `with` clause in a `require` statement.\n"},"Lake.DSL.fromPath":{"sourceLink":"https://example.com#L12-L13","name":"Lake.DSL.fromPath","line":12,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromPath","doc":""},"Lake.DSL.fromGit":{"sourceLink":"https://example.com#L15-L16","name":"Lake.DSL.fromGit","line":15,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromGit","doc":""},"Lake.DSL.fixName":{"sourceLink":"https://example.com#L68-L70","name":"Lake.DSL.fixName","line":68,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.fixName","doc":""},"Lake.DSL.externLibDeclSpec":{"sourceLink":"https://example.com#L192-L193","name":"Lake.DSL.externLibDeclSpec","line":192,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDeclSpec","doc":""},"Lake.DSL.externLibDecl":{"sourceLink":"https://example.com#L209-L225","name":"Lake.DSL.externLibDecl","line":209,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDecl","doc":"Define a new external library target for the package. Has one form:\n\n```lean\nextern_lib «target-name» (pkg : NPackage _package.name) :=\n /- build term of type `IndexBuildM (BuildJob FilePath)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n\nThe term should build the external library's **static** library.\n"},"Lake.DSL.expandScriptDecl":{"sourceLink":"https://example.com#L28-L35","name":"Lake.DSL.expandScriptDecl","line":28,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.expandScriptDecl","doc":""},"Lake.DSL.expandOptSimpleBinder":{"sourceLink":"https://example.com#L56-L66","name":"Lake.DSL.expandOptSimpleBinder","line":56,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandOptSimpleBinder","doc":""},"Lake.DSL.expandDepSpec":{"sourceLink":"https://example.com#L21-L38","name":"Lake.DSL.expandDepSpec","line":21,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.expandDepSpec","doc":""},"Lake.DSL.expandCmdDo":{"sourceLink":"https://example.com#L23-L26","name":"Lake.DSL.expandCmdDo","line":23,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.expandCmdDo","doc":""},"Lake.DSL.expandAttrs":{"sourceLink":"https://example.com#L19-L25","name":"Lake.DSL.expandAttrs","line":19,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandAttrs","doc":""},"Lake.DSL.elabGetConfig":{"sourceLink":"https://example.com#L51-L65","name":"Lake.DSL.elabGetConfig","line":51,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabGetConfig","doc":""},"Lake.DSL.elabDirConst":{"sourceLink":"https://example.com#L31-L39","name":"Lake.DSL.elabDirConst","line":31,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabDirConst","doc":""},"Lake.DSL.dummyGetConfig?":{"sourceLink":"https://example.com#L22-L22","name":"Lake.DSL.dummyGetConfig?","line":22,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyGetConfig?","doc":"A dummy default constant for `get_config` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dummyDir":{"sourceLink":"https://example.com#L16-L16","name":"Lake.DSL.dummyDir","line":16,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyDir","doc":"A dummy default constant for `__dir__` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dirConst":{"sourceLink":"https://example.com#L24-L28","name":"Lake.DSL.dirConst","line":24,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.dirConst","doc":"A macro that expands to the path of package's directory\nduring the Lakefile's elaboration.\n"},"Lake.DSL.depSpec":{"sourceLink":"https://example.com#L18-L19","name":"Lake.DSL.depSpec","line":18,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.depSpec","doc":""},"Lake.DSL.declValTyped":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DSL.declValTyped","line":36,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValTyped","doc":""},"Lake.DSL.declValStruct":{"sourceLink":"https://example.com#L33-L34","name":"Lake.DSL.declValStruct","line":33,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValStruct","doc":""},"Lake.DSL.declValOptTyped":{"sourceLink":"https://example.com#L39-L40","name":"Lake.DSL.declValOptTyped","line":39,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValOptTyped","doc":""},"Lake.DSL.declValDo":{"sourceLink":"https://example.com#L30-L31","name":"Lake.DSL.declValDo","line":30,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValDo","doc":""},"Lake.DSL.cmdDo":{"sourceLink":"https://example.com#L16-L21","name":"Lake.DSL.cmdDo","line":16,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.cmdDo","doc":"The `do` command syntax groups multiple similarly indented commands together.\nThe group can then be passed to another command that usually only accepts a\nsingle command (e.g., `meta if`).\n"},"Lake.DSL.buildDeclSig":{"sourceLink":"https://example.com#L16-L17","name":"Lake.DSL.buildDeclSig","line":16,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.buildDeclSig","doc":""},"Lake.DSL.bracketedSimpleBinder":{"sourceLink":"https://example.com#L48-L49","name":"Lake.DSL.bracketedSimpleBinder","line":48,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.bracketedSimpleBinder","doc":""},"Lake.DSL.WhereDecls":{"sourceLink":"https://example.com#L15-L15","name":"Lake.DSL.WhereDecls","line":15,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.WhereDecls","doc":""},"Lake.DSL.SimpleBinder":{"sourceLink":"https://example.com#L54-L54","name":"Lake.DSL.SimpleBinder","line":54,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.SimpleBinder","doc":""},"Lake.DSL.DocComment":{"sourceLink":"https://example.com#L12-L12","name":"Lake.DSL.DocComment","line":12,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.DocComment","doc":""},"Lake.DSL.Attributes":{"sourceLink":"https://example.com#L13-L13","name":"Lake.DSL.Attributes","line":13,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.Attributes","doc":""},"Lake.DSL.AttrInstance":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.AttrInstance","line":14,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.AttrInstance","doc":""},"Lake.DRecFetchFn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRecFetchFn","line":61,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DRecFetchFn","doc":""},"Lake.DRBMap.toList":{"sourceLink":"https://example.com#L71-L72","name":"Lake.DRBMap.toList","line":71,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.toList","doc":""},"Lake.DRBMap.size":{"sourceLink":"https://example.com#L125-L126","name":"Lake.DRBMap.size","line":125,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.size","doc":""},"Lake.DRBMap.revFold":{"sourceLink":"https://example.com#L52-L53","name":"Lake.DRBMap.revFold","line":52,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.revFold","doc":""},"Lake.DRBMap.ofList":{"sourceLink":"https://example.com#L95-L97","name":"Lake.DRBMap.ofList","line":95,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.ofList","doc":""},"Lake.DRBMap.min!":{"sourceLink":"https://example.com#L131-L134","name":"Lake.DRBMap.min!","line":131,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min!","doc":""},"Lake.DRBMap.min":{"sourceLink":"https://example.com#L74-L78","name":"Lake.DRBMap.min","line":74,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min","doc":""},"Lake.DRBMap.maxDepth":{"sourceLink":"https://example.com#L128-L129","name":"Lake.DRBMap.maxDepth","line":128,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.maxDepth","doc":""},"Lake.DRBMap.max!":{"sourceLink":"https://example.com#L136-L139","name":"Lake.DRBMap.max!","line":136,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max!","doc":""},"Lake.DRBMap.max":{"sourceLink":"https://example.com#L80-L84","name":"Lake.DRBMap.max","line":80,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max","doc":""},"Lake.DRBMap.lowerBound":{"sourceLink":"https://example.com#L110-L111","name":"Lake.DRBMap.lowerBound","line":110,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.lowerBound","doc":"(lowerBound k) retrieves the kv pair of the largest key smaller than or equal to `k`,\nif it exists. "},"Lake.DRBMap.isEmpty":{"sourceLink":"https://example.com#L67-L69","name":"Lake.DRBMap.isEmpty","line":67,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.isEmpty","doc":""},"Lake.DRBMap.instReprDRBMap":{"sourceLink":"https://example.com#L86-L87","name":"Lake.DRBMap.instReprDRBMap","line":86,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instReprDRBMap","doc":""},"Lake.DRBMap.instForInDRBMapSigma":{"sourceLink":"https://example.com#L64-L65","name":"Lake.DRBMap.instForInDRBMapSigma","line":64,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instForInDRBMapSigma","doc":""},"Lake.DRBMap.insert":{"sourceLink":"https://example.com#L89-L90","name":"Lake.DRBMap.insert","line":89,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.insert","doc":""},"Lake.DRBMap.fromList":{"sourceLink":"https://example.com#L116-L117","name":"Lake.DRBMap.fromList","line":116,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fromList","doc":""},"Lake.DRBMap.forM":{"sourceLink":"https://example.com#L58-L59","name":"Lake.DRBMap.forM","line":58,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forM","doc":""},"Lake.DRBMap.forIn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRBMap.forIn","line":61,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forIn","doc":""},"Lake.DRBMap.foldM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.DRBMap.foldM","line":55,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.foldM","doc":""},"Lake.DRBMap.fold":{"sourceLink":"https://example.com#L49-L50","name":"Lake.DRBMap.fold","line":49,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fold","doc":""},"Lake.DRBMap.findD":{"sourceLink":"https://example.com#L105-L106","name":"Lake.DRBMap.findD","line":105,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findD","doc":""},"Lake.DRBMap.findCore?":{"sourceLink":"https://example.com#L99-L100","name":"Lake.DRBMap.findCore?","line":99,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findCore?","doc":""},"Lake.DRBMap.find?":{"sourceLink":"https://example.com#L102-L103","name":"Lake.DRBMap.find?","line":102,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find?","doc":""},"Lake.DRBMap.find!":{"sourceLink":"https://example.com#L141-L144","name":"Lake.DRBMap.find!","line":141,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find!","doc":""},"Lake.DRBMap.erase":{"sourceLink":"https://example.com#L92-L93","name":"Lake.DRBMap.erase","line":92,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.erase","doc":""},"Lake.DRBMap.empty":{"sourceLink":"https://example.com#L37-L38","name":"Lake.DRBMap.empty","line":37,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.empty","doc":""},"Lake.DRBMap.depth":{"sourceLink":"https://example.com#L46-L47","name":"Lake.DRBMap.depth","line":46,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.depth","doc":""},"Lake.DRBMap.contains":{"sourceLink":"https://example.com#L113-L114","name":"Lake.DRBMap.contains","line":113,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.contains","doc":""},"Lake.DRBMap.any":{"sourceLink":"https://example.com#L122-L123","name":"Lake.DRBMap.any","line":122,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.any","doc":""},"Lake.DRBMap.all":{"sourceLink":"https://example.com#L119-L120","name":"Lake.DRBMap.all","line":119,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.all","doc":""},"Lake.DRBMap":{"sourceLink":"https://example.com#L31-L32","name":"Lake.DRBMap","line":31,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap","doc":"A Dependently typed `RBMap`. "},"Lake.DNameMap.empty":{"sourceLink":"https://example.com#L175-L175","name":"Lake.DNameMap.empty","line":175,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap.empty","doc":""},"Lake.DNameMap":{"sourceLink":"https://example.com#L174-L174","name":"Lake.DNameMap","line":174,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap","doc":""},"Lake.DFetchT":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DFetchT","line":45,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchT","doc":"A transformer that equips a monad with a `DFetchFn`. "},"Lake.DFetchFn":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DFetchFn","line":36,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchFn","doc":"A dependently typed monadic *fetch* function.\n\nThat is, a function within the monad `m` and takes an input `a : α`\ndescribing what to fetch and and produces some output `b : β a` (dependently\ntyped) or `b : B` (not) describing what was fetched. All build functions are\nfetch functions, but not all fetch functions need build something.\n"},"Lake.CycleT":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CycleT","line":16,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CycleT","doc":"A transformer that equips a monad with a `CallStack` to detect cycles. "},"Lake.Cycle":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Cycle","line":13,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.Cycle","doc":"A `CallStack` ending in a cycle. "},"Lake.CustomData":{"sourceLink":"https://example.com#L69-L69","name":"Lake.CustomData","line":69,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.CustomData","doc":"The open type family which maps a custom target (package × target name) to\nits build data in the Lake build store.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `custom_data`).\n"},"Lake.Context.workspace":{"sourceLink":"https://example.com#L37-L38","name":"Lake.Context.workspace","line":37,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.Context.workspace","doc":""},"Lake.Context.opaqueWs":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Context.opaqueWs","line":14,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.Context.opaqueWs","doc":""},"Lake.Context.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Context.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Context.html#Lake.Context.mk","doc":""},"Lake.Context":{"sourceLink":"https://example.com#L13-L14","name":"Lake.Context","line":13,"kind":"structure","docLink":"./Lake/Config/Context.html#Lake.Context","doc":"A Lake configuration. "},"Lake.ComputeTrace.mk":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ComputeTrace.mk","line":27,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.mk","doc":""},"Lake.ComputeTrace.computeTrace":{"sourceLink":"https://example.com#L29-L29","name":"Lake.ComputeTrace.computeTrace","line":29,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.computeTrace","doc":"Compute the trace of some target info using information from the monadic context. "},"Lake.ComputeTrace":{"sourceLink":"https://example.com#L27-L29","name":"Lake.ComputeTrace","line":27,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace","doc":""},"Lake.ComputeHash.mk":{"sourceLink":"https://example.com#L116-L116","name":"Lake.ComputeHash.mk","line":116,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.mk","doc":""},"Lake.ComputeHash.computeHash":{"sourceLink":"https://example.com#L117-L117","name":"Lake.ComputeHash.computeHash","line":117,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.computeHash","doc":""},"Lake.ComputeHash":{"sourceLink":"https://example.com#L116-L117","name":"Lake.ComputeHash","line":116,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash","doc":""},"Lake.CheckExists.mk":{"sourceLink":"https://example.com#L14-L14","name":"Lake.CheckExists.mk","line":14,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.mk","doc":""},"Lake.CheckExists.checkExists":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CheckExists.checkExists","line":16,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.checkExists","doc":"Check whether there already exists an artifact for the given target info. "},"Lake.CheckExists":{"sourceLink":"https://example.com#L14-L16","name":"Lake.CheckExists","line":14,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.CheckExists","doc":""},"Lake.CallStack":{"sourceLink":"https://example.com#L10-L10","name":"Lake.CallStack","line":10,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CallStack","doc":"A sequence of calls donated by the key type `κ`. "},"Lake.BuildType.release":{"sourceLink":"https://example.com#L30-L34","name":"Lake.BuildType.release","line":30,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.release","doc":"High optimization level and no debug info, code, or asserts\n(e.g., passes `-O3 -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.relWithDebInfo":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildType.relWithDebInfo","line":20,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.relWithDebInfo","doc":"Optimized, *with* debug info, but no debug code or asserts\n(e.g., passes `-O3 -g -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.minSizeRel":{"sourceLink":"https://example.com#L25-L29","name":"Lake.BuildType.minSizeRel","line":25,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.minSizeRel","doc":"Same as `release` but optimizing for size rather than speed\n(e.g., passes `-Os -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.leancArgs":{"sourceLink":"https://example.com#L43-L47","name":"Lake.BuildType.leancArgs","line":43,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.leancArgs","doc":"The arguments to pass to `leanc` based on the build type. "},"Lake.BuildType.debug":{"sourceLink":"https://example.com#L13-L19","name":"Lake.BuildType.debug","line":13,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.debug","doc":"Debug optimization, asserts enabled, custom debug code enabled, and\ndebug info included in executable (so you can step through the code with a\ndebugger and have address to source-file:line-number translation).\nFor example, passes `-Og -g` when compiling C code.\n"},"Lake.BuildType":{"sourceLink":"https://example.com#L12-L35","name":"Lake.BuildType","line":12,"kind":"inductive","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType","doc":"Lake equivalent of CMake's\n[`CMAKE_BUILD_TYPE`](https://stackoverflow.com/a/59314670).\n"},"Lake.BuildTrace.writeToFile":{"sourceLink":"https://example.com#L287-L288","name":"Lake.BuildTrace.writeToFile","line":287,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.writeToFile","doc":""},"Lake.BuildTrace.withoutMTime":{"sourceLink":"https://example.com#L230-L231","name":"Lake.BuildTrace.withoutMTime","line":230,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutMTime","doc":""},"Lake.BuildTrace.withoutHash":{"sourceLink":"https://example.com#L224-L225","name":"Lake.BuildTrace.withoutHash","line":224,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutHash","doc":""},"Lake.BuildTrace.withMTime":{"sourceLink":"https://example.com#L227-L228","name":"Lake.BuildTrace.withMTime","line":227,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withMTime","doc":""},"Lake.BuildTrace.withHash":{"sourceLink":"https://example.com#L221-L222","name":"Lake.BuildTrace.withHash","line":221,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withHash","doc":""},"Lake.BuildTrace.nil":{"sourceLink":"https://example.com#L243-L244","name":"Lake.BuildTrace.nil","line":243,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.nil","doc":""},"Lake.BuildTrace.mtime":{"sourceLink":"https://example.com#L216-L216","name":"Lake.BuildTrace.mtime","line":216,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mtime","doc":""},"Lake.BuildTrace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildTrace.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mk","doc":""},"Lake.BuildTrace.mix":{"sourceLink":"https://example.com#L253-L254","name":"Lake.BuildTrace.mix","line":253,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mix","doc":""},"Lake.BuildTrace.instNilTraceBuildTrace":{"sourceLink":"https://example.com#L246-L246","name":"Lake.BuildTrace.instNilTraceBuildTrace","line":246,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instNilTraceBuildTrace","doc":""},"Lake.BuildTrace.instMixTraceBuildTrace":{"sourceLink":"https://example.com#L256-L256","name":"Lake.BuildTrace.instMixTraceBuildTrace","line":256,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instMixTraceBuildTrace","doc":""},"Lake.BuildTrace.instComputeTraceIOBuildTrace":{"sourceLink":"https://example.com#L251-L251","name":"Lake.BuildTrace.instComputeTraceIOBuildTrace","line":251,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instComputeTraceIOBuildTrace","doc":""},"Lake.BuildTrace.instCoeMTimeBuildTrace":{"sourceLink":"https://example.com#L241-L241","name":"Lake.BuildTrace.instCoeMTimeBuildTrace","line":241,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeMTimeBuildTrace","doc":""},"Lake.BuildTrace.instCoeHashBuildTrace":{"sourceLink":"https://example.com#L236-L236","name":"Lake.BuildTrace.instCoeHashBuildTrace","line":236,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeHashBuildTrace","doc":""},"Lake.BuildTrace.hash":{"sourceLink":"https://example.com#L215-L215","name":"Lake.BuildTrace.hash","line":215,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.hash","doc":""},"Lake.BuildTrace.fromMTime":{"sourceLink":"https://example.com#L238-L239","name":"Lake.BuildTrace.fromMTime","line":238,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromMTime","doc":""},"Lake.BuildTrace.fromHash":{"sourceLink":"https://example.com#L233-L234","name":"Lake.BuildTrace.fromHash","line":233,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromHash","doc":""},"Lake.BuildTrace.compute":{"sourceLink":"https://example.com#L248-L249","name":"Lake.BuildTrace.compute","line":248,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.compute","doc":""},"Lake.BuildTrace.checkAgainstTime":{"sourceLink":"https://example.com#L270-L272","name":"Lake.BuildTrace.checkAgainstTime","line":270,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstTime","doc":"Check the build trace against the given target info and its modification time\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstHash":{"sourceLink":"https://example.com#L262-L264","name":"Lake.BuildTrace.checkAgainstHash","line":262,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstHash","doc":"Check the build trace against the given target info and hash\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstFile":{"sourceLink":"https://example.com#L278-L285","name":"Lake.BuildTrace.checkAgainstFile","line":278,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstFile","doc":"Check the build trace against the given target info and its trace file\nto see if the target is up-to-date.\n"},"Lake.BuildTrace":{"sourceLink":"https://example.com#L214-L217","name":"Lake.BuildTrace","line":214,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace","doc":"Trace used for common Lake targets. Combines `Hash` and `MTime`. "},"Lake.BuildT":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildT","line":26,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildT","doc":"A transformer to equip a monad with a `BuildContext`. "},"Lake.BuildStoreT":{"sourceLink":"https://example.com#L35-L35","name":"Lake.BuildStoreT","line":35,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildStoreT","doc":"A transformer to equip a monad with a Lake build store. "},"Lake.BuildStore.empty":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildStore.empty","line":26,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.empty","doc":""},"Lake.BuildStore.collectTargetFacetArray":{"sourceLink":"https://example.com#L73-L83","name":"Lake.BuildStore.collectTargetFacetArray","line":73,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectTargetFacetArray","doc":"Derive an array of built target facets from the store. "},"Lake.BuildStore.collectSharedExternLibs":{"sourceLink":"https://example.com#L86-L88","name":"Lake.BuildStore.collectSharedExternLibs","line":86,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectSharedExternLibs","doc":"Derive an array of built external shared libraries from the store. "},"Lake.BuildStore.collectPackageFacetArray":{"sourceLink":"https://example.com#L60-L70","name":"Lake.BuildStore.collectPackageFacetArray","line":60,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectPackageFacetArray","doc":"Derive an array of built package facets from the store. "},"Lake.BuildStore.collectModuleFacetMap":{"sourceLink":"https://example.com#L47-L57","name":"Lake.BuildStore.collectModuleFacetMap","line":47,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetMap","doc":"Derive a map of module names to built facets from the store. "},"Lake.BuildStore.collectModuleFacetArray":{"sourceLink":"https://example.com#L34-L44","name":"Lake.BuildStore.collectModuleFacetArray","line":34,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetArray","doc":"Derive an array of built module facets from the store. "},"Lake.BuildStore":{"sourceLink":"https://example.com#L23-L24","name":"Lake.BuildStore","line":23,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore","doc":"The type of the Lake build store. "},"Lake.BuildM.run":{"sourceLink":"https://example.com#L49-L50","name":"Lake.BuildM.run","line":49,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.run","doc":""},"Lake.BuildM.catchFailure":{"sourceLink":"https://example.com#L52-L53","name":"Lake.BuildM.catchFailure","line":52,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.catchFailure","doc":""},"Lake.BuildM":{"sourceLink":"https://example.com#L32-L32","name":"Lake.BuildM","line":32,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM","doc":"The core monad for Lake builds. "},"Lake.BuildKey.toString":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildKey.toString","line":20,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.toString","doc":""},"Lake.BuildKey.targetFacet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.BuildKey.targetFacet","line":14,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.targetFacet","doc":""},"Lake.BuildKey.quickCmp":{"sourceLink":"https://example.com#L28-L62","name":"Lake.BuildKey.quickCmp","line":28,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.quickCmp","doc":""},"Lake.BuildKey.packageFacet":{"sourceLink":"https://example.com#L13-L13","name":"Lake.BuildKey.packageFacet","line":13,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.packageFacet","doc":""},"Lake.BuildKey.moduleFacet":{"sourceLink":"https://example.com#L12-L12","name":"Lake.BuildKey.moduleFacet","line":12,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.moduleFacet","doc":""},"Lake.BuildKey.instToStringBuildKey":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildKey.instToStringBuildKey","line":26,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instToStringBuildKey","doc":""},"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","line":102,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","doc":""},"Lake.BuildKey.eq_of_quickCmp":{"sourceLink":"https://example.com#L64-L100","name":"Lake.BuildKey.eq_of_quickCmp","line":64,"kind":"theorem","docLink":"./Lake/Build/Key.html#Lake.BuildKey.eq_of_quickCmp","doc":""},"Lake.BuildKey.customTarget":{"sourceLink":"https://example.com#L15-L15","name":"Lake.BuildKey.customTarget","line":15,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.customTarget","doc":""},"Lake.BuildKey":{"sourceLink":"https://example.com#L11-L16","name":"Lake.BuildKey","line":11,"kind":"inductive","docLink":"./Lake/Build/Key.html#Lake.BuildKey","doc":"The type of keys in the Lake build store. "},"Lake.BuildJob.toJob":{"sourceLink":"https://example.com#L54-L55","name":"Lake.BuildJob.toJob","line":54,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.toJob","doc":""},"Lake.BuildJob.seqWithAsync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildJob.seqWithAsync","line":102,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.seqWithAsync","doc":""},"Lake.BuildJob.pure":{"sourceLink":"https://example.com#L60-L61","name":"Lake.BuildJob.pure","line":60,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.pure","doc":""},"Lake.BuildJob.ofJob":{"sourceLink":"https://example.com#L51-L52","name":"Lake.BuildJob.ofJob","line":51,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.ofJob","doc":""},"Lake.BuildJob.nil":{"sourceLink":"https://example.com#L57-L58","name":"Lake.BuildJob.nil","line":57,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.nil","doc":""},"Lake.BuildJob.mk":{"sourceLink":"https://example.com#L48-L49","name":"Lake.BuildJob.mk","line":48,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mk","doc":""},"Lake.BuildJob.mixList":{"sourceLink":"https://example.com#L94-L96","name":"Lake.BuildJob.mixList","line":94,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixList","doc":""},"Lake.BuildJob.mixArray":{"sourceLink":"https://example.com#L98-L100","name":"Lake.BuildJob.mixArray","line":98,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixArray","doc":""},"Lake.BuildJob.mix":{"sourceLink":"https://example.com#L91-L92","name":"Lake.BuildJob.mix","line":91,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mix","doc":""},"Lake.BuildJob.materialize":{"sourceLink":"https://example.com#L88-L89","name":"Lake.BuildJob.materialize","line":88,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.materialize","doc":""},"Lake.BuildJob.mapWithTrace":{"sourceLink":"https://example.com#L71-L72","name":"Lake.BuildJob.mapWithTrace","line":71,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mapWithTrace","doc":""},"Lake.BuildJob.map":{"sourceLink":"https://example.com#L65-L66","name":"Lake.BuildJob.map","line":65,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.map","doc":""},"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob":{"sourceLink":"https://example.com#L106-L106","name":"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","line":106,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","doc":""},"Lake.BuildJob.instPureBuildJob":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BuildJob.instPureBuildJob","line":63,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instPureBuildJob","doc":""},"Lake.BuildJob.instFunctorBuildJob":{"sourceLink":"https://example.com#L68-L69","name":"Lake.BuildJob.instFunctorBuildJob","line":68,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instFunctorBuildJob","doc":""},"Lake.BuildJob.instAwaitBuildJobResultM":{"sourceLink":"https://example.com#L86-L86","name":"Lake.BuildJob.instAwaitBuildJobResultM","line":86,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instAwaitBuildJobResultM","doc":""},"Lake.BuildJob.collectList":{"sourceLink":"https://example.com#L108-L109","name":"Lake.BuildJob.collectList","line":108,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectList","doc":""},"Lake.BuildJob.collectArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.BuildJob.collectArray","line":111,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectArray","doc":""},"Lake.BuildJob.bindSync":{"sourceLink":"https://example.com#L74-L77","name":"Lake.BuildJob.bindSync","line":74,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindSync","doc":""},"Lake.BuildJob.bindAsync":{"sourceLink":"https://example.com#L79-L81","name":"Lake.BuildJob.bindAsync","line":79,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindAsync","doc":""},"Lake.BuildJob.await":{"sourceLink":"https://example.com#L83-L84","name":"Lake.BuildJob.await","line":83,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.await","doc":""},"Lake.BuildJob":{"sourceLink":"https://example.com#L44-L44","name":"Lake.BuildJob","line":44,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob","doc":"A Lake build job. "},"Lake.BuildInfo.target":{"sourceLink":"https://example.com#L30-L30","name":"Lake.BuildInfo.target","line":30,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.target","doc":""},"Lake.BuildInfo.staticExternLib":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BuildInfo.staticExternLib","line":27,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.staticExternLib","doc":""},"Lake.BuildInfo.sharedExternLib":{"sourceLink":"https://example.com#L28-L28","name":"Lake.BuildInfo.sharedExternLib","line":28,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.sharedExternLib","doc":""},"Lake.BuildInfo.packageFacet":{"sourceLink":"https://example.com#L24-L24","name":"Lake.BuildInfo.packageFacet","line":24,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.packageFacet","doc":""},"Lake.BuildInfo.moduleFacet":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildInfo.moduleFacet","line":23,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.moduleFacet","doc":""},"Lake.BuildInfo.libraryFacet":{"sourceLink":"https://example.com#L25-L25","name":"Lake.BuildInfo.libraryFacet","line":25,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.libraryFacet","doc":""},"Lake.BuildInfo.leanExe":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildInfo.leanExe","line":26,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.leanExe","doc":""},"Lake.BuildInfo.key":{"sourceLink":"https://example.com#L65-L73","name":"Lake.BuildInfo.key","line":65,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.key","doc":"The key that identifies the build in the Lake build store. "},"Lake.BuildInfo.fetch":{"sourceLink":"https://example.com#L128-L129","name":"Lake.BuildInfo.fetch","line":128,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.fetch","doc":"Fetch the result associated with the info using the Lake build index. "},"Lake.BuildInfo.dynlibExternLib":{"sourceLink":"https://example.com#L29-L29","name":"Lake.BuildInfo.dynlibExternLib","line":29,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.dynlibExternLib","doc":""},"Lake.BuildInfo.build":{"sourceLink":"https://example.com#L96-L98","name":"Lake.BuildInfo.build","line":96,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.BuildInfo.build","doc":"Build the given Lake target in a fresh build store. "},"Lake.BuildInfo":{"sourceLink":"https://example.com#L22-L30","name":"Lake.BuildInfo","line":22,"kind":"inductive","docLink":"./Lake/Build/Info.html#Lake.BuildInfo","doc":"The type of Lake's build info. "},"Lake.BuildData":{"sourceLink":"https://example.com#L80-L84","name":"Lake.BuildData","line":80,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.BuildData","doc":"A mapping between a build key and its associated build data in the store.\nIt is a simple type function composed of the separate open type families for\nmodules facets, package facets, Lake target facets, and custom targets.\n"},"Lake.BuildCycleT":{"sourceLink":"https://example.com#L41-L41","name":"Lake.BuildCycleT","line":41,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycleT","doc":"A transformer for monads that may encounter a build cycle. "},"Lake.BuildCycle":{"sourceLink":"https://example.com#L38-L38","name":"Lake.BuildCycle","line":38,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycle","doc":"A Lake build cycle. "},"Lake.BuildContext.startedBuilds":{"sourceLink":"https://example.com#L22-L22","name":"Lake.BuildContext.startedBuilds","line":22,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.startedBuilds","doc":""},"Lake.BuildContext.oldMode":{"sourceLink":"https://example.com#L21-L21","name":"Lake.BuildContext.oldMode","line":21,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.oldMode","doc":""},"Lake.BuildContext.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildContext.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Context.html#Lake.BuildContext.mk","doc":""},"Lake.BuildContext.leanTrace":{"sourceLink":"https://example.com#L20-L20","name":"Lake.BuildContext.leanTrace","line":20,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.leanTrace","doc":""},"Lake.BuildContext.finishedBuilds":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildContext.finishedBuilds","line":23,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.finishedBuilds","doc":""},"Lake.BuildContext":{"sourceLink":"https://example.com#L19-L23","name":"Lake.BuildContext","line":19,"kind":"structure","docLink":"./Lake/Build/Context.html#Lake.BuildContext","doc":"A Lake context with some additional caching for builds. "},"Lake.BracketedBinder":{"sourceLink":"https://example.com#L42-L42","name":"Lake.BracketedBinder","line":42,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BracketedBinder","doc":""},"Lake.BinderSyntaxView.type":{"sourceLink":"https://example.com#L62-L62","name":"Lake.BinderSyntaxView.type","line":62,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.type","doc":""},"Lake.BinderSyntaxView.modifier?":{"sourceLink":"https://example.com#L64-L64","name":"Lake.BinderSyntaxView.modifier?","line":64,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.modifier?","doc":""},"Lake.BinderSyntaxView.mkBinder":{"sourceLink":"https://example.com#L141-L147","name":"Lake.BinderSyntaxView.mkBinder","line":141,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkBinder","doc":""},"Lake.BinderSyntaxView.mkArgument":{"sourceLink":"https://example.com#L149-L150","name":"Lake.BinderSyntaxView.mkArgument","line":149,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkArgument","doc":""},"Lake.BinderSyntaxView.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BinderSyntaxView.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mk","doc":""},"Lake.BinderSyntaxView.info":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BinderSyntaxView.info","line":63,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.info","doc":""},"Lake.BinderSyntaxView.id":{"sourceLink":"https://example.com#L61-L61","name":"Lake.BinderSyntaxView.id","line":61,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.id","doc":""},"Lake.BinderSyntaxView":{"sourceLink":"https://example.com#L60-L64","name":"Lake.BinderSyntaxView","line":60,"kind":"structure","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView","doc":""},"Lake.BinderModifier":{"sourceLink":"https://example.com#L55-L55","name":"Lake.BinderModifier","line":55,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderModifier","doc":""},"Lake.BinderIdent":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BinderIdent","line":27,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderIdent","doc":""},"Lake.Binder":{"sourceLink":"https://example.com#L51-L51","name":"Lake.Binder","line":51,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Binder","doc":""},"Lake.BindSync.mk":{"sourceLink":"https://example.com#L102-L102","name":"Lake.BindSync.mk","line":102,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindSync.mk","doc":""},"Lake.BindSync.bindSync":{"sourceLink":"https://example.com#L104-L104","name":"Lake.BindSync.bindSync","line":104,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindSync.bindSync","doc":"Perform a synchronous action after another (a)synchronous task completes successfully. "},"Lake.BindSync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BindSync","line":102,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindSync","doc":""},"Lake.BindAsync.mk":{"sourceLink":"https://example.com#L108-L108","name":"Lake.BindAsync.mk","line":108,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindAsync.mk","doc":""},"Lake.BindAsync.bindAsync":{"sourceLink":"https://example.com#L110-L110","name":"Lake.BindAsync.bindAsync","line":110,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindAsync.bindAsync","doc":"Perform a asynchronous task after another (a)synchronous task completes successfully. "},"Lake.BindAsync":{"sourceLink":"https://example.com#L108-L110","name":"Lake.BindAsync","line":108,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindAsync","doc":""},"Lake.BaseIOTask":{"sourceLink":"https://example.com#L16-L16","name":"Lake.BaseIOTask","line":16,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.BaseIOTask","doc":""},"Lake.Await.mk":{"sourceLink":"https://example.com#L40-L40","name":"Lake.Await.mk","line":40,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Await.mk","doc":""},"Lake.Await.await":{"sourceLink":"https://example.com#L42-L42","name":"Lake.Await.await","line":42,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Await.await","doc":"Wait for an (a)synchronous task to finish. "},"Lake.Await":{"sourceLink":"https://example.com#L40-L42","name":"Lake.Await","line":40,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Await","doc":""},"Lake.Async.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.Async.mk","line":34,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Async.mk","doc":""},"Lake.Async.async":{"sourceLink":"https://example.com#L36-L36","name":"Lake.Async.async","line":36,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Async.async","doc":"Run the monadic action as an asynchronous task. "},"Lake.Async":{"sourceLink":"https://example.com#L34-L36","name":"Lake.Async","line":34,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Async","doc":""},"Lake.Argument":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Argument","line":15,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Argument","doc":""},"Lake.ApplicativeAsync.mk":{"sourceLink":"https://example.com#L138-L138","name":"Lake.ApplicativeAsync.mk","line":138,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync.mk","doc":""},"Lake.ApplicativeAsync":{"sourceLink":"https://example.com#L138-L142","name":"Lake.ApplicativeAsync","line":138,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync","doc":""},"LT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1078-L1078","name":"LT.mk","line":1078,"kind":"ctor","docLink":"./Init/Prelude.html#LT.mk","doc":""},"LT.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1080-L1080","name":"LT.lt","line":1080,"kind":"def","docLink":"./Init/Prelude.html#LT.lt","doc":"The less-than relation: `x < y` "},"LT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1078-L1080","name":"LT","line":1078,"kind":"class","docLink":"./Init/Prelude.html#LT","doc":"`LT α` is the typeclass which supports the notation `x < y` where `x y : α`."},"LE.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1073-L1073","name":"LE.mk","line":1073,"kind":"ctor","docLink":"./Init/Prelude.html#LE.mk","doc":""},"LE.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1075-L1075","name":"LE.le","line":1075,"kind":"def","docLink":"./Init/Prelude.html#LE.le","doc":"The less-equal relation: `x ≤ y` "},"LE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1073-L1075","name":"LE","line":1073,"kind":"class","docLink":"./Init/Prelude.html#LE","doc":"`LE α` is the typeclass which supports the notation `x ≤ y` where `x y : α`."},"InvImage.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L123-L124","name":"InvImage.wf","line":123,"kind":"def","docLink":"./Init/WF.html#InvImage.wf","doc":""},"InvImage.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L120-L121","name":"InvImage.accessible","line":120,"kind":"def","docLink":"./Init/WF.html#InvImage.accessible","doc":""},"InvImage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L938-L939","name":"InvImage","line":938,"kind":"def","docLink":"./Init/Core.html#InvImage","doc":"The inverse image of `r : β → β → Prop` by a function `α → β` is the relation\n`s : α → α → Prop` defined by `s a b = r (f a) (f b)`.\n"},"Int.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L333-L335","name":"Int.toNat","line":333,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.toNat","doc":"Turns an integer into a natural number, negative numbers become\n`0`.\n\n```\n#eval (7 : Int).toNat -- 7\n#eval (0 : Int).toNat -- 0\n#eval (-7 : Int).toNat -- 0\n```\n"},"Int.subNatNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L86-L89","name":"Int.subNatNat","line":86,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.subNatNat","doc":"Subtraction of two natural numbers. "},"Int.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L142-L143","name":"Int.sub","line":142,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.sub","doc":"Subtraction of two integers.\n\n```\n#eval (63 : Int) - (6 : Int) -- 57\n#eval (7 : Int) - (0 : Int) -- 7\n#eval (0 : Int) - (7 : Int) -- -7\n```\n\nImplemented by efficient native code. "},"Int.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L170-L172","name":"Int.repr","line":170,"kind":"def","docLink":"./Init/Data/Repr.html#Int.repr","doc":""},"Int.rem_sign_dividend":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"Int.rem":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"Int.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L346-L348","name":"Int.pow","line":346,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.pow","doc":"Power of an integer to some natural number.\n\n```\n#eval (2 : Int) ^ 4 -- 16\n#eval (10 : Int) ^ 0 -- 1\n#eval (0 : Int) ^ 10 -- 0\n#eval (-7 : Int) ^ 3 -- -343\n```\n"},"Int.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L41-L42","name":"Int.ofNat","line":41,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.ofNat","doc":"A natural number is an integer (`0` to `∞`). "},"Int.negSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L43-L45","name":"Int.negSucc","line":43,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.negSucc","doc":"The negation of the successor of a natural number is an integer\n(`-1` to `-∞`). "},"Int.negOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L59-L61","name":"Int.negOfNat","line":59,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.negOfNat","doc":"Negation of a natural number. "},"Int.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L68-L71","name":"Int.neg","line":68,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.neg","doc":"Negation of an integer.\n\nImplemented by efficient native code. "},"Int.natAbs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L242-L245","name":"Int.natAbs","line":242,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.natAbs","doc":"Absolute value (`Nat`) of an integer.\n\n```\n#eval (7 : Int).natAbs -- 7\n#eval (0 : Int).natAbs -- 0\n#eval (-11 : Int).natAbs -- 11\n```\n\nImplemented by efficient native code. "},"Int.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L122-L127","name":"Int.mul","line":122,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mul","doc":"Multiplication of two integers.\n\n```\n#eval (63 : Int) * (6 : Int) -- 378\n#eval (6 : Int) * (-6 : Int) -- -36\n#eval (7 : Int) * (0 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L315-L319","name":"Int.mod","line":315,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mod","doc":"Integer modulo. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention\nto pair with `Int.div`, meaning that `a % b + b * (a / b) = a`\nunconditionally (see [`Int.mod_add_div`][theo mod_add_div]). In\nparticular, `a % 0 = a`.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) % (0 : Int) -- 7\n#eval (0 : Int) % (7 : Int) -- 0\n\n#eval (12 : Int) % (6 : Int) -- 0\n#eval (12 : Int) % (-6 : Int) -- 0\n#eval (-12 : Int) % (6 : Int) -- 0\n#eval (-12 : Int) % (-6 : Int) -- 0\n\n#eval (12 : Int) % (7 : Int) -- 5\n#eval (12 : Int) % (-7 : Int) -- 5\n#eval (-12 : Int) % (7 : Int) -- 2\n#eval (-12 : Int) % (-7 : Int) -- 2\n```\n\nImplemented by efficient native code. "},"Int.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L160-L160","name":"Int.lt","line":160,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.lt","doc":"Definition of `a < b`, encoded as `a + 1 ≤ b`. "},"Int.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L154-L154","name":"Int.le","line":154,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.le","doc":"Definition of `a ≤ b`, encoded as `b - a ≥ 0`. "},"Int.instSubInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L145-L146","name":"Int.instSubInt","line":145,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instSubInt","doc":""},"Int.instNegInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L82-L83","name":"Int.instNegInt","line":82,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instNegInt","doc":""},"Int.instMulInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L129-L130","name":"Int.instMulInt","line":129,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMulInt","doc":""},"Int.instModInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L321-L322","name":"Int.instModInt","line":321,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instModInt","doc":""},"Int.instMinInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L357-L357","name":"Int.instMinInt","line":357,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMinInt","doc":""},"Int.instMaxInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L359-L359","name":"Int.instMaxInt","line":359,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMaxInt","doc":""},"Int.instLawfulBEqIntInstBEqInstDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L353-L355","name":"Int.instLawfulBEqIntInstBEqInstDecidableEqInt","line":353,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLawfulBEqIntInstBEqInstDecidableEqInt","doc":""},"Int.instLTInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L162-L163","name":"Int.instLTInt","line":162,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLTInt","doc":""},"Int.instLEInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L156-L157","name":"Int.instLEInt","line":156,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLEInt","doc":""},"Int.instInhabitedInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L56-L56","name":"Int.instInhabitedInt","line":56,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instInhabitedInt","doc":""},"Int.instHPowIntNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L350-L351","name":"Int.instHPowIntNat","line":350,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instHPowIntNat","doc":""},"Int.instDivInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L284-L285","name":"Int.instDivInt","line":284,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDivInt","doc":""},"Int.instDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L187-L187","name":"Int.instDecidableEqInt","line":187,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDecidableEqInt","doc":""},"Int.instAddInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L108-L109","name":"Int.instAddInt","line":108,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instAddInt","doc":""},"Int.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L278-L282","name":"Int.div","line":278,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.div","doc":"Integer division. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention,\nmeaning that it rounds toward zero. Also note that division by zero\nis defined to equal zero.\n\nThe relation between integer division and modulo is found in [the\n`Int.mod_add_div` theorem in std][theo mod_add_div] which states\nthat `a % b + b * (a / b) = a`, unconditionally.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) / (0 : Int) -- 0\n#eval (0 : Int) / (7 : Int) -- 0\n\n#eval (12 : Int) / (6 : Int) -- 2\n#eval (12 : Int) / (-6 : Int) -- -2\n#eval (-12 : Int) / (6 : Int) -- -2\n#eval (-12 : Int) / (-6 : Int) -- 2\n\n#eval (12 : Int) / (7 : Int) -- 1\n#eval (12 : Int) / (-7 : Int) -- -1\n#eval (-12 : Int) / (7 : Int) -- -1\n#eval (-12 : Int) / (-7 : Int) -- 1\n```\n\nImplemented by efficient native code. "},"Int.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L228-L229","name":"Int.decLt","line":228,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLt","doc":"Decides whether `a < b`.\n\n```\n#eval `¬ ( (7 : Int) < 0 )` -- true\n#eval `¬ ( (0 : Int) < 0 )` -- true\n#eval `(7 : Int) < 10` -- true\n```\n\nImplemented by efficient native code. "},"Int.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L215-L216","name":"Int.decLe","line":215,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLe","doc":"Decides whether `a ≤ b`.\n\n```\n#eval ¬ ( (7 : Int) ≤ (0 : Int) ) -- true\n#eval (0 : Int) ≤ (0 : Int) -- true\n#eval (7 : Int) ≤ (10 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L176-L185","name":"Int.decEq","line":176,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.decEq","doc":"Decides equality between two `Int`s.\n\n```\n#eval (7 : Int) = (3 : Int) + (4 : Int) -- true\n#eval (6 : Int) = (3 : Int) * (2 : Int) -- true\n#eval ¬ (6 : Int) = (3 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L101-L106","name":"Int.add","line":101,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.add","doc":"Addition of two integers.\n\n```\n#eval (7 : Int) + (6 : Int) -- 13\n#eval (6 : Int) + (-6 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.NonNeg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L150-L151","name":"Int.NonNeg.mk","line":150,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg.mk","doc":"Sole constructor, proving that `ofNat n` is positive. "},"Int.NonNeg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L149-L151","name":"Int.NonNeg","line":149,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg","doc":"A proof that an `Int` is non-negative. "},"Int":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L40-L45","name":"Int","line":40,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int","doc":"The type of integers. It is defined as an inductive type based on the\nnatural number type `Nat` featuring two constructors: \"a natural\nnumber is an integer\", and \"the negation of a successor of a natural\nnumber is an integer\". The former represents integers between `0`\n(inclusive) and `∞`, and the latter integers between `-∞` and `-1`\n(inclusive).\n\nThis type is special-cased by the compiler. The runtime has a special\nrepresentation for `Int` which stores \"small\" signed numbers directly,\nand larger numbers use an arbitrary precision \"bignum\" library\n(usually [GMP](https://gmplib.org/)). A \"small number\" is an integer\nthat can be encoded with 63 bits (31 bits on 32-bits 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No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"InstCombine.Bitvec.width":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"InstCombine.BaseType.bitvec":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"InstCombine.BaseType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"Inhabited.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L670-L670","name":"Inhabited.mk","line":670,"kind":"ctor","docLink":"./Init/Prelude.html#Inhabited.mk","doc":""},"Inhabited.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L674-L674","name":"Inhabited.default","line":674,"kind":"def","docLink":"./Init/Prelude.html#Inhabited.default","doc":"`default` is a function that produces a \"default\" element of any\n`Inhabited` type. This element does not have any particular specified\nproperties, but it is often an all-zeroes value. "},"Inhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L670-L674","name":"Inhabited","line":670,"kind":"class","docLink":"./Init/Prelude.html#Inhabited","doc":"`Inhabited α` is a typeclass that says that `α` has a designated element,\ncalled `(default : α)`. This is sometimes referred to as a \"pointed type\".\n\nThis class is used by functions that need to return a value of the type\nwhen called \"out of domain\". For example, `Array.get! arr i : α` returns\na value of type `α` when `arr : Array α`, but if `i` is not in range of\nthe array, it reports a panic message, but this does not halt the program,\nso it must still return a value of type `α` (and in fact this is required\nfor logical consistency), so in this case it returns `default`.\n"},"Index":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"Iff.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L666-L669","name":"Iff.trans","line":666,"kind":"theorem","docLink":"./Init/Core.html#Iff.trans","doc":""},"Iff.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L671-L672","name":"Iff.symm","line":671,"kind":"theorem","docLink":"./Init/Core.html#Iff.symm","doc":""},"Iff.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1175-L1176","name":"Iff.subst","line":1175,"kind":"theorem","docLink":"./Init/Core.html#Iff.subst","doc":"Iff can now be used to do substitutions in a calculation "},"Iff.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L663-L664","name":"Iff.rfl","line":663,"kind":"theorem","docLink":"./Init/Core.html#Iff.rfl","doc":""},"Iff.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L660-L661","name":"Iff.refl","line":660,"kind":"theorem","docLink":"./Init/Core.html#Iff.refl","doc":""},"Iff.of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L677-L678","name":"Iff.of_eq","line":677,"kind":"theorem","docLink":"./Init/Core.html#Iff.of_eq","doc":""},"Iff.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L92-L92","name":"Iff.mpr","line":92,"kind":"def","docLink":"./Init/Core.html#Iff.mpr","doc":"Modus ponens for if and only if, reversed. If `a ↔ b` and `b`, then `a`. "},"Iff.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L90-L90","name":"Iff.mp","line":90,"kind":"def","docLink":"./Init/Core.html#Iff.mp","doc":"Modus ponens for if and only if. If `a ↔ b` and `a`, then `b`. "},"Iff.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L88-L88","name":"Iff.intro","line":88,"kind":"ctor","docLink":"./Init/Core.html#Iff.intro","doc":"If `a → b` and `b → a` then `a` and `b` are equivalent. "},"Iff.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L674-L675","name":"Iff.comm","line":674,"kind":"theorem","docLink":"./Init/Core.html#Iff.comm","doc":""},"Iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L86-L92","name":"Iff","line":86,"kind":"structure","docLink":"./Init/Core.html#Iff","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"Id.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L27-L27","name":"Id.run","line":27,"kind":"def","docLink":"./Init/Control/Id.html#Id.run","doc":""},"Id.pure_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L93-L93","name":"Id.pure_eq","line":93,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.pure_eq","doc":""},"Id.map_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L91-L91","name":"Id.map_eq","line":91,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.map_eq","doc":""},"Id.instOfNatId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L29-L30","name":"Id.instOfNatId","line":29,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instOfNatId","doc":""},"Id.instMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L18-L21","name":"Id.instMonadId","line":18,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instMonadId","doc":""},"Id.instLawfulMonadIdInstMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L95-L96","name":"Id.instLawfulMonadIdInstMonadId","line":95,"kind":"instance","docLink":"./Init/Control/Lawful.html#Id.instLawfulMonadIdInstMonadId","doc":""},"Id.hasBind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L23-L24","name":"Id.hasBind","line":23,"kind":"def","docLink":"./Init/Control/Id.html#Id.hasBind","doc":""},"Id.finally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L191-L195","name":"Id.finally","line":191,"kind":"instance","docLink":"./Init/Control/Except.html#Id.finally","doc":""},"Id.bind_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L92-L92","name":"Id.bind_eq","line":92,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.bind_eq","doc":""},"Id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L13-L13","name":"Id","line":13,"kind":"def","docLink":"./Init/Control/Id.html#Id","doc":""},"IO.withStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L513-L518","name":"IO.withStdout","line":513,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdout","doc":""},"IO.withStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L509-L511","name":"IO.withStdin","line":509,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdin","doc":""},"IO.withStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L520-L522","name":"IO.withStderr","line":520,"kind":"def","docLink":"./Init/System/IO.html#IO.withStderr","doc":""},"IO.waitAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L215-L217","name":"IO.waitAny","line":215,"kind":"opaque","docLink":"./Init/System/IO.html#IO.waitAny","doc":"Wait until any of the tasks in the given list has finished, then return its result. "},"IO.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L208-L209","name":"IO.wait","line":208,"kind":"opaque","docLink":"./Init/System/IO.html#IO.wait","doc":"Wait for the task to finish, then return its result. "},"IO.userError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IOError.lean#L57-L58","name":"IO.userError","line":57,"kind":"def","docLink":"./Init/System/IOError.html#IO.userError","doc":""},"IO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L77-L78","name":"IO.toEIO","line":77,"kind":"def","docLink":"./Init/System/IO.html#IO.toEIO","doc":""},"IO.throwServerError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L15-L16","name":"IO.throwServerError","line":15,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.throwServerError","doc":""},"IO.stdGenRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L115-L117","name":"IO.stdGenRef","line":115,"kind":"opaque","docLink":"./Init/Data/Random.html#IO.stdGenRef","doc":""},"IO.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L178-L180","name":"IO.sleep","line":178,"kind":"def","docLink":"./Init/System/IO.html#IO.sleep","doc":""},"IO.setStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L316-L316","name":"IO.setStdout","line":316,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdout","doc":"Replaces the stdout stream of the current thread and returns its previous value. "},"IO.setStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L314-L314","name":"IO.setStdin","line":314,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdin","doc":"Replaces the stdin stream of the current thread and returns its previous value. "},"IO.setStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L318-L318","name":"IO.setStderr","line":318,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStderr","doc":"Replaces the stderr stream of the current thread and returns its previous value. "},"IO.setRandSeed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L119-L120","name":"IO.setRandSeed","line":119,"kind":"def","docLink":"./Init/Data/Random.html#IO.setRandSeed","doc":""},"IO.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L685-L686","name":"IO.setAccessRights","line":685,"kind":"def","docLink":"./Init/System/IO.html#IO.setAccessRights","doc":""},"IO.rand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L122-L126","name":"IO.rand","line":122,"kind":"def","docLink":"./Init/Data/Random.html#IO.rand","doc":""},"IO.println":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L528-L529","name":"IO.println","line":528,"kind":"def","docLink":"./Init/System/IO.html#IO.println","doc":""},"IO.print":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L524-L526","name":"IO.print","line":524,"kind":"def","docLink":"./Init/System/IO.html#IO.print","doc":""},"IO.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L160-L163","name":"IO.ofExcept","line":160,"kind":"def","docLink":"./Init/System/IO.html#IO.ofExcept","doc":""},"IO.monoNanosNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L172-L172","name":"IO.monoNanosNow","line":172,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoNanosNow","doc":"Monotonically increasing time since an unspecified past point in nanoseconds. No relation to wall clock time. "},"IO.monoMsNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L169-L169","name":"IO.monoMsNow","line":169,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoMsNow","doc":"Monotonically increasing time since an unspecified past point in milliseconds. No relation to wall clock time. "},"IO.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L693-L694","name":"IO.mkRef","line":693,"kind":"def","docLink":"./Init/System/IO.html#IO.mkRef","doc":""},"IO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L195-L196","name":"IO.mapTasks","line":195,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTasks","doc":"`IO` specialization of `EIO.mapTasks`. "},"IO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L187-L188","name":"IO.mapTask","line":187,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTask","doc":"`IO` specialization of `EIO.mapTask`. "},"IO.lazyPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L165-L166","name":"IO.lazyPure","line":165,"kind":"def","docLink":"./Init/System/IO.html#IO.lazyPure","doc":""},"IO.iterate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L320-L324","name":"IO.iterate","line":320,"kind":"opaque","docLink":"./Init/System/IO.html#IO.iterate","doc":""},"IO.instNonemptyPromise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L31-L32","name":"IO.instNonemptyPromise","line":31,"kind":"instance","docLink":"./Init/System/Promise.html#IO.instNonemptyPromise","doc":""},"IO.instNonemptyMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L84-L84","name":"IO.instNonemptyMutex","line":84,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyMutex","doc":""},"IO.instNonemptyCondvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L50-L50","name":"IO.instNonemptyCondvar","line":50,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyCondvar","doc":""},"IO.instNonemptyChannel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L32-L33","name":"IO.instNonemptyChannel","line":32,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instNonemptyChannel","doc":""},"IO.instNonemptyBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L21-L21","name":"IO.instNonemptyBaseMutex","line":21,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyBaseMutex","doc":""},"IO.instMonadLiftSTRealWorldBaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L691-L691","name":"IO.instMonadLiftSTRealWorldBaseIO","line":691,"kind":"instance","docLink":"./Init/System/IO.html#IO.instMonadLiftSTRealWorldBaseIO","doc":""},"IO.instInhabitedError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IOError.lean#L54-L54","name":"IO.instInhabitedError","line":54,"kind":"instance","docLink":"./Init/System/IOError.html#IO.instInhabitedError","doc":""},"IO.instForInSync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L134-L135","name":"IO.instForInSync","line":134,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instForInSync","doc":"`for msg in ch.sync do ...` receives all messages in the channel until it is closed. "},"IO.instCoeOutMutexBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L86-L86","name":"IO.instCoeOutMutexBaseMutex","line":86,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instCoeOutMutexBaseMutex","doc":""},"IO.initializing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L102-L102","name":"IO.initializing","line":102,"kind":"opaque","docLink":"./Init/System/IO.html#IO.initializing","doc":"Programs can execute IO actions during initialization that occurs before\nthe `main` function is executed. The attribute `[init ]` specifies\nwhich IO action is executed to set the value of an opaque constant.\n\nThe action `initializing` returns `true` iff it is invoked during initialization. "},"IO.hasFinished":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L205-L205","name":"IO.hasFinished","line":205,"kind":"opaque","docLink":"./Init/System/IO.html#IO.hasFinished","doc":"Check if the task has finished execution, at which point calling `Task.get` will return immediately. "},"IO.getStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L310-L310","name":"IO.getStdout","line":310,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdout","doc":""},"IO.getStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L309-L309","name":"IO.getStdin","line":309,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdin","doc":""},"IO.getStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L311-L311","name":"IO.getStderr","line":311,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStderr","doc":""},"IO.getRandomBytes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L176-L176","name":"IO.getRandomBytes","line":176,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getRandomBytes","doc":"Read bytes from a system entropy source. Not guaranteed to be cryptographically secure.\nIf `nBytes = 0`, return immediately with an empty buffer. "},"IO.getNumHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L220-L220","name":"IO.getNumHeartbeats","line":220,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getNumHeartbeats","doc":"Helper method for implementing \"deterministic\" timeouts. It is the number of \"small\" memory allocations performed by the current execution thread. "},"IO.getEnv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L366-L366","name":"IO.getEnv","line":366,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getEnv","doc":""},"IO.eprintln":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L535-L536","name":"IO.eprintln","line":535,"kind":"def","docLink":"./Init/System/IO.html#IO.eprintln","doc":""},"IO.eprint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L531-L533","name":"IO.eprint","line":531,"kind":"def","docLink":"./Init/System/IO.html#IO.eprint","doc":""},"IO.currentDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L368-L368","name":"IO.currentDir","line":368,"kind":"opaque","docLink":"./Init/System/IO.html#IO.currentDir","doc":""},"IO.checkCanceled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L199-L199","name":"IO.checkCanceled","line":199,"kind":"opaque","docLink":"./Init/System/IO.html#IO.checkCanceled","doc":"Check if the task's cancellation flag has been set by calling `IO.cancel` or dropping the last reference to the task. "},"IO.cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L202-L202","name":"IO.cancel","line":202,"kind":"opaque","docLink":"./Init/System/IO.html#IO.cancel","doc":"Request cooperative cancellation of the task. The task must explicitly call `IO.checkCanceled` to react to the cancellation. "},"IO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L191-L192","name":"IO.bindTask","line":191,"kind":"def","docLink":"./Init/System/IO.html#IO.bindTask","doc":"`IO` specialization of `EIO.bindTask`. "},"IO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L183-L184","name":"IO.asTask","line":183,"kind":"def","docLink":"./Init/System/IO.html#IO.asTask","doc":"`IO` specialization of `EIO.asTask`. "},"IO.appPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L367-L367","name":"IO.appPath","line":367,"kind":"opaque","docLink":"./Init/System/IO.html#IO.appPath","doc":""},"IO.appDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L546-L550","name":"IO.appDir","line":546,"kind":"def","docLink":"./Init/System/IO.html#IO.appDir","doc":""},"IO.Ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L689-L689","name":"IO.Ref","line":689,"kind":"def","docLink":"./Init/System/IO.html#IO.Ref","doc":"References "},"IO.RealWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L23-L23","name":"IO.RealWorld","line":23,"kind":"def","docLink":"./Init/System/IO.html#IO.RealWorld","doc":"Like .\nMakes sure we never reorder `IO` operations.\n\nTODO: mark opaque "},"IO.Promise.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L55-L57","name":"IO.Promise.result","line":55,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.result","doc":"The result task of a `Promise`.\n\nThe task blocks until `Promise.resolve` is called.\n"},"IO.Promise.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L44-L44","name":"IO.Promise.resolve","line":44,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.resolve","doc":"Resolves a `Promise`.\n\nOnly the first call to this function has an effect.\n"},"IO.Promise.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L36-L36","name":"IO.Promise.new","line":36,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.new","doc":"Creates a new `Promise`. "},"IO.Promise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L29-L29","name":"IO.Promise","line":29,"kind":"def","docLink":"./Init/System/Promise.html#IO.Promise","doc":"`Promise α` allows you to create a `Task α` whose value is provided later by calling `resolve`.\n\nTypical usage is as follows:\n1. `let promise ← Promise.new` creates a promise\n2. `promise.result : Task α` can now be passed around\n3. `promise.result.get` blocks until the promise is resolved\n4. `promise.resolve a` resolves the promise\n5. `promise.result.get` now returns `a`\n\nEvery promise must eventually be resolved.\nOtherwise the memory used for the promise will be leaked,\nand any tasks depending on the promise's result will wait forever.\n"},"IO.Process.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L619-L619","name":"IO.Process.spawn","line":619,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.spawn","doc":""},"IO.Process.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L651-L655","name":"IO.Process.run","line":651,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.run","doc":"Run process to completion and return stdout on success. "},"IO.Process.output":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L642-L648","name":"IO.Process.output","line":642,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.output","doc":"Run process to completion and capture output. "},"IO.Process.getPID":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L581-L581","name":"IO.Process.getPID","line":581,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.getPID","doc":"Returns the process ID of the current process. "},"IO.Process.exit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L657-L657","name":"IO.Process.exit","line":657,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.exit","doc":""},"IO.Process.StdioConfig.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L597-L597","name":"IO.Process.StdioConfig.stdout","line":597,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdout","doc":"Configuration for the process' stdout handle. "},"IO.Process.StdioConfig.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L595-L595","name":"IO.Process.StdioConfig.stdin","line":595,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdin","doc":"Configuration for the process' stdin handle. "},"IO.Process.StdioConfig.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L599-L599","name":"IO.Process.StdioConfig.stderr","line":599,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stderr","doc":"Configuration for the process' stderr handle. "},"IO.Process.StdioConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.StdioConfig.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.mk","doc":""},"IO.Process.StdioConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L593-L599","name":"IO.Process.StdioConfig","line":593,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.StdioConfig","doc":""},"IO.Process.Stdio.toHandleType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L588-L591","name":"IO.Process.Stdio.toHandleType","line":588,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Stdio.toHandleType","doc":""},"IO.Process.Stdio.piped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L584-L584","name":"IO.Process.Stdio.piped","line":584,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.piped","doc":""},"IO.Process.Stdio.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L586-L586","name":"IO.Process.Stdio.null","line":586,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.null","doc":""},"IO.Process.Stdio.inherit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L585-L585","name":"IO.Process.Stdio.inherit","line":585,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.inherit","doc":""},"IO.Process.Stdio":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L583-L586","name":"IO.Process.Stdio","line":583,"kind":"inductive","docLink":"./Init/System/IO.html#IO.Process.Stdio","doc":""},"IO.Process.SpawnArgs.setsid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L611-L611","name":"IO.Process.SpawnArgs.setsid","line":611,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.setsid","doc":"Start process in new session and process group using `setsid`. Currently a no-op on non-POSIX platforms. "},"IO.Process.SpawnArgs.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.SpawnArgs.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.mk","doc":""},"IO.Process.SpawnArgs.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L609-L609","name":"IO.Process.SpawnArgs.env","line":609,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.env","doc":"Add or remove environment variables for the process. "},"IO.Process.SpawnArgs.cwd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L607-L607","name":"IO.Process.SpawnArgs.cwd","line":607,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cwd","doc":"Working directory for the process. Inherit from current process if `none`. "},"IO.Process.SpawnArgs.cmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L603-L603","name":"IO.Process.SpawnArgs.cmd","line":603,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cmd","doc":"Command name. "},"IO.Process.SpawnArgs.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L605-L605","name":"IO.Process.SpawnArgs.args","line":605,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.args","doc":"Arguments for the process "},"IO.Process.SpawnArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L601-L611","name":"IO.Process.SpawnArgs","line":601,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs","doc":""},"IO.Process.Output.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L638-L638","name":"IO.Process.Output.stdout","line":638,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stdout","doc":""},"IO.Process.Output.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L639-L639","name":"IO.Process.Output.stderr","line":639,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stderr","doc":""},"IO.Process.Output.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.Output.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Output.mk","doc":""},"IO.Process.Output.exitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L637-L637","name":"IO.Process.Output.exitCode","line":637,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.exitCode","doc":""},"IO.Process.Output":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L636-L639","name":"IO.Process.Output","line":636,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Output","doc":""},"IO.Process.Child.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L621-L621","name":"IO.Process.Child.wait","line":621,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.wait","doc":""},"IO.Process.Child.takeStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L633-L634","name":"IO.Process.Child.takeStdin","line":633,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.takeStdin","doc":"Extract the `stdin` field from a `Child` object, allowing them to be freed independently.\nThis operation is necessary for closing the child process' stdin while still holding on to a process handle,\ne.g. for `Child.wait`. A file handle is closed when all references to it are dropped, which without this\noperation includes the `Child` object.\n"},"IO.Process.Child.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L616-L616","name":"IO.Process.Child.stdout","line":616,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdout","doc":""},"IO.Process.Child.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L615-L615","name":"IO.Process.Child.stdin","line":615,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdin","doc":""},"IO.Process.Child.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L617-L617","name":"IO.Process.Child.stderr","line":617,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stderr","doc":""},"IO.Process.Child.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L614-L614","name":"IO.Process.Child.mk","line":614,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Child.mk","doc":""},"IO.Process.Child.kill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L625-L625","name":"IO.Process.Child.kill","line":625,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.kill","doc":"Terminates the child process using the SIGTERM signal or a platform analogue.\nIf the process was started using `SpawnArgs.setsid`, terminates the entire process group instead. "},"IO.Process.Child":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L614-L617","name":"IO.Process.Child","line":614,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Child","doc":""},"IO.Prim.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L683-L683","name":"IO.Prim.setAccessRights","line":683,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Prim.setAccessRights","doc":""},"IO.Mutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L89-L90","name":"IO.Mutex.new","line":89,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.new","doc":"Creates a new mutex. "},"IO.Mutex.mutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L83-L83","name":"IO.Mutex.mutex","line":83,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.mutex","doc":""},"IO.Mutex.atomicallyOnce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L113-L119","name":"IO.Mutex.atomicallyOnce","line":113,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomicallyOnce","doc":"`mutex.atomicallyOnce condvar pred k` runs `k`,\nwaiting on `condvar` until `pred` returns true.\nBoth `k` and `pred` have access to the mutex's state.\n"},"IO.Mutex.atomically":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L100-L106","name":"IO.Mutex.atomically","line":100,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomically","doc":"`mutex.atomically k` runs `k` with access to the mutex's state while locking the mutex. 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all written outputs with `pre`. "},"IO.FS.Stream.readResponseAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L308-L319","name":"IO.FS.Stream.readResponseAs","line":308,"kind":"opaque","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readResponseAs","doc":""},"IO.FS.Stream.readRequestAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L282-L293","name":"IO.FS.Stream.readRequestAs","line":282,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readRequestAs","doc":""},"IO.FS.Stream.readNotificationAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L295-L306","name":"IO.FS.Stream.readNotificationAs","line":295,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readNotificationAs","doc":""},"IO.FS.Stream.readMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L276-L280","name":"IO.FS.Stream.readMessage","line":276,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readMessage","doc":""},"IO.FS.Stream.readLspResponseAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L87-L92","name":"IO.FS.Stream.readLspResponseAs","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspResponseAs","doc":""},"IO.FS.Stream.readLspRequestAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L73-L78","name":"IO.FS.Stream.readLspRequestAs","line":73,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspRequestAs","doc":""},"IO.FS.Stream.readLspNotificationAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L80-L85","name":"IO.FS.Stream.readLspNotificationAs","line":80,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspNotificationAs","doc":""},"IO.FS.Stream.readLspMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L66-L71","name":"IO.FS.Stream.readLspMessage","line":66,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspMessage","doc":""},"IO.FS.Stream.readJson":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Json/Stream.lean#L18-L21","name":"IO.FS.Stream.readJson","line":18,"kind":"def","docLink":"./Lean/Data/Json/Stream.html#IO.FS.Stream.readJson","doc":"Consumes `nBytes` bytes from the stream, interprets the bytes as a utf-8 string and the string as a valid JSON object. "},"IO.FS.Stream.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L296-L296","name":"IO.FS.Stream.read","line":296,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.read","doc":"Read up to the given number of bytes from the stream.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.putStrLn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L427-L428","name":"IO.FS.Stream.putStrLn","line":427,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStrLn","doc":""},"IO.FS.Stream.putStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L304-L304","name":"IO.FS.Stream.putStr","line":304,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStr","doc":""},"IO.FS.Stream.ofHandle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L700-L706","name":"IO.FS.Stream.ofHandle","line":700,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofHandle","doc":""},"IO.FS.Stream.ofBuffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L712-L729","name":"IO.FS.Stream.ofBuffer","line":712,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofBuffer","doc":""},"IO.FS.Stream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.mk","doc":""},"IO.FS.Stream.getLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L303-L303","name":"IO.FS.Stream.getLine","line":303,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.getLine","doc":"Read text up to (including) the next line break from the stream.\nIf the returned string is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.flush":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L290-L290","name":"IO.FS.Stream.flush","line":290,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.flush","doc":""},"IO.FS.Stream.chainRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L26-L38","name":"IO.FS.Stream.chainRight","line":26,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainRight","doc":"Chains two streams by creating a new stream s.t. writing to it\njust writes to `a` but reading from it also duplicates the read output\ninto `b`, c.f. `a | tee b` on Unix.\nNB: if `a` is written to but this stream is never read from,\nthe output will *not* be duplicated. Use this if you only care\nabout the data that was actually read. "},"IO.FS.Stream.chainLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L41-L51","name":"IO.FS.Stream.chainLeft","line":41,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainLeft","doc":"Like `tee a | b` on Unix. See `chainOut`. "},"IO.FS.Stream.Buffer.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L710-L710","name":"IO.FS.Stream.Buffer.pos","line":710,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.pos","doc":""},"IO.FS.Stream.Buffer.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.Buffer.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.mk","doc":""},"IO.FS.Stream.Buffer.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L709-L709","name":"IO.FS.Stream.Buffer.data","line":709,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.data","doc":""},"IO.FS.Stream.Buffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L708-L710","name":"IO.FS.Stream.Buffer","line":708,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer","doc":""},"IO.FS.Stream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L289-L305","name":"IO.FS.Stream","line":289,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream","doc":"A pure-Lean abstraction of POSIX streams. We use `Stream`s for the standard streams stdin/stdout/stderr so we can\ncapture output of `#eval` commands into memory. "},"IO.FS.Mode.writeNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L256-L264","name":"IO.FS.Mode.writeNew","line":256,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.writeNew","doc":"New file opened for writing.\nOn open, create a new file with the stream positioned at the start.\nErrors if the file already exists.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC | O_EXCL`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L247-L255","name":"IO.FS.Mode.write","line":247,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.write","doc":"File opened for writing.\nOn open, truncate an existing file to zero length or create a new file.\nThe stream is positioned at the beginning of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.readWrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L265-L273","name":"IO.FS.Mode.readWrite","line":265,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.readWrite","doc":"File opened for reading and writing.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDWR`\n* `fdopen` mode: `r+`\n"},"IO.FS.Mode.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L238-L246","name":"IO.FS.Mode.read","line":238,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.read","doc":"File opened for reading.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDONLY`\n* `fdopen` mode: `r`\n"},"IO.FS.Mode.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L274-L282","name":"IO.FS.Mode.append","line":274,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.append","doc":"File opened for writing.\nOn open, create a new file if it does not exist.\nThe stream is positioned at the end of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_APPEND`\n* `fdopen` mode: `a`\n"},"IO.FS.Mode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L237-L282","name":"IO.FS.Mode","line":237,"kind":"inductive","docLink":"./Init/System/IO.html#IO.FS.Mode","doc":"The mode of a file handle (i.e., a set of `open` flags and an `fdopen` mode).\n\nAll modes do not translate line endings (i.e., `O_BINARY` on Windows) and\nare not inherited across process creation (i.e., `O_NOINHERIT` on Windows,\n`O_CLOEXEC` elsewhere).\n\n**References:**\n* Windows:\n [`_open`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/open-wopen?view=msvc-170),\n [`_fdopen`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/fdopen-wfdopen?view=msvc-170)\n* Linux:\n [`open`](https://linux.die.net/man/2/open),\n [`fdopen`](https://linux.die.net/man/3/fdopen)\n"},"IO.FS.Metadata.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L458-L458","name":"IO.FS.Metadata.type","line":458,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.type","doc":""},"IO.FS.Metadata.modified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L456-L456","name":"IO.FS.Metadata.modified","line":456,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.modified","doc":""},"IO.FS.Metadata.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Metadata.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Metadata.mk","doc":""},"IO.FS.Metadata.byteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L457-L457","name":"IO.FS.Metadata.byteSize","line":457,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.byteSize","doc":""},"IO.FS.Metadata.accessed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L455-L455","name":"IO.FS.Metadata.accessed","line":455,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.accessed","doc":""},"IO.FS.Metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L453-L459","name":"IO.FS.Metadata","line":453,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Metadata","doc":""},"IO.FS.Handle.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L338-L338","name":"IO.FS.Handle.write","line":338,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.write","doc":""},"IO.FS.Handle.readToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L389-L394","name":"IO.FS.Handle.readToEnd.loop","line":389,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd.loop","doc":""},"IO.FS.Handle.readToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L388-L395","name":"IO.FS.Handle.readToEnd","line":388,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd","doc":""},"IO.FS.Handle.readBinToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L380-L385","name":"IO.FS.Handle.readBinToEnd.loop","line":380,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd.loop","doc":""},"IO.FS.Handle.readBinToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L379-L386","name":"IO.FS.Handle.readBinToEnd","line":379,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd","doc":""},"IO.FS.Handle.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L337-L337","name":"IO.FS.Handle.read","line":337,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.read","doc":"Read up to the given number of bytes from the handle.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a handle, so further reads may block and return more 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"},"IO.Channel.sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L113-L113","name":"IO.Channel.sync","line":113,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.sync","doc":"Accesses synchronous (blocking) version of channel operations.\n\nFor example, `ch.sync.recv?` blocks until the next message,\nand `for msg in ch.sync do ...` iterates synchronously over the channel.\nThese functions should only be used in dedicated threads.\n"},"IO.Channel.send":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L44-L52","name":"IO.Channel.send","line":44,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.send","doc":"Sends a message on an `Channel`.\n\nThis function does not block.\n"},"IO.Channel.recvAllCurrent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L99-L101","name":"IO.Channel.recvAllCurrent","line":99,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recvAllCurrent","doc":"Receives all currently queued messages from the channel.\n\nThose messages are dequeued and will not be returned by `recv?`.\n"},"IO.Channel.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L70-L81","name":"IO.Channel.recv?","line":70,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recv?","doc":"Receives a message, without blocking.\nThe returned task waits for the message.\nEvery message is only received once.\n\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L36-L37","name":"IO.Channel.new","line":36,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.new","doc":"Creates a new `Channel`. "},"IO.Channel.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L22-L22","name":"IO.Channel.instInhabitedState","line":22,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.Channel.instInhabitedState","doc":""},"IO.Channel.forAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L88-L92","name":"IO.Channel.forAsync","line":88,"kind":"opaque","docLink":"./Init/Data/Channel.html#IO.Channel.forAsync","doc":"`ch.forAsync f` calls `f` for every messages received on `ch`.\n\nNote that if this function is called twice, each `forAsync` only gets half the messages.\n"},"IO.Channel.close":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L57-L61","name":"IO.Channel.close","line":57,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.close","doc":"Closes an `Channel`.\n"},"IO.Channel.Sync.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L121-L122","name":"IO.Channel.Sync.recv?","line":121,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync.recv?","doc":"Synchronously receives a message from the channel.\n\nEvery message is only received once.\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.Sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L104-L104","name":"IO.Channel.Sync","line":104,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync","doc":"Type tag for synchronous (blocking) operations on a `Channel`. "},"IO.Channel.State.values":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L19-L19","name":"IO.Channel.State.values","line":19,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.values","doc":""},"IO.Channel.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L18-L18","name":"IO.Channel.State.mk","line":18,"kind":"ctor","docLink":"./Init/Data/Channel.html#IO.Channel.State.mk","doc":""},"IO.Channel.State.consumers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L20-L20","name":"IO.Channel.State.consumers","line":20,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.consumers","doc":""},"IO.Channel.State.closed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L21-L21","name":"IO.Channel.State.closed","line":21,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.closed","doc":""},"IO.Channel.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L18-L22","name":"IO.Channel.State","line":18,"kind":"structure","docLink":"./Init/Data/Channel.html#IO.Channel.State","doc":"Internal state of an `Channel`.\n\nWe maintain the invariant that at all times either `consumers` or `values` is empty.\n"},"IO.Channel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L30-L30","name":"IO.Channel","line":30,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel","doc":"FIFO channel with unbounded buffer, where `recv?` returns a `Task`.\n\nA channel can be closed. Once it is closed, all `send`s are ignored, and\n`recv?` returns `none` once the queue is empty.\n"},"IO.BaseMutex.unlock":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L43-L43","name":"IO.BaseMutex.unlock","line":43,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.unlock","doc":"Unlocks a `BaseMutex`.\n\nThe current thread must have already locked the mutex.\nUnlocking an unlocked mutex is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L25-L25","name":"IO.BaseMutex.new","line":25,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.new","doc":"Creates a new `BaseMutex`. "},"IO.BaseMutex.lock":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L34-L34","name":"IO.BaseMutex.lock","line":34,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.lock","doc":"Locks a `BaseMutex`. Waits until no other thread has locked the mutex.\n\nThe current thread must not have already locked the mutex.\nReentrant locking is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L19-L19","name":"IO.BaseMutex","line":19,"kind":"def","docLink":"./Init/System/Mutex.html#IO.BaseMutex","doc":"Mutual exclusion primitive (a lock).\n\nIf you want to guard shared state, use `Mutex α` instead.\n"},"IO.AtomicT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L97-L97","name":"IO.AtomicT","line":97,"kind":"def","docLink":"./Init/System/Mutex.html#IO.AtomicT","doc":"`AtomicT α m` is the monad that can be atomically executed inside a `Mutex α`,\nwith outside monad `m`.\nThe action has access to the state `α` of the mutex (via `get` and `set`).\n"},"IO.AsyncList.waitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L70-L80","name":"IO.AsyncList.waitUntil","line":70,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitUntil","doc":"Spawns a `Task` returning the prefix of elements up to (including) the first element for which `p` is true.\nWhen `p` is not true of any element, it returns the entire list. "},"IO.AsyncList.waitHead?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L112-L113","name":"IO.AsyncList.waitHead?","line":112,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitHead?","doc":""},"IO.AsyncList.waitFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L89-L97","name":"IO.AsyncList.waitFind?","line":89,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitFind?","doc":"Spawns a `Task` acting like `List.find?` but which will wait for tail evalution\nwhen necessary to traverse the list. If the tail terminates before a matching element\nis found, the task throws the terminating value. "},"IO.AsyncList.waitAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L83-L84","name":"IO.AsyncList.waitAll","line":83,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitAll","doc":"Spawns a `Task` waiting on all elements. "},"IO.AsyncList.unfoldAsync.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L45-L51","name":"IO.AsyncList.unfoldAsync.step","line":45,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync.step","doc":""},"IO.AsyncList.unfoldAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L43-L54","name":"IO.AsyncList.unfoldAsync","line":43,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync","doc":"A stateful step computation `f` is applied iteratively, forming an async\nstream. The stream ends once `f` returns `none` for the first time.\n\nFor cooperatively cancelling an ongoing computation, we recommend referencing\na cancellation token in `f` and checking it when appropriate. "},"IO.AsyncList.ofList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L33-L34","name":"IO.AsyncList.ofList","line":33,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.ofList","doc":""},"IO.AsyncList.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L19-L19","name":"IO.AsyncList.nil","line":19,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.nil","doc":""},"IO.AsyncList.instInhabitedAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L23-L23","name":"IO.AsyncList.instInhabitedAsyncList","line":23,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instInhabitedAsyncList","doc":""},"IO.AsyncList.instCoeListAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L36-L36","name":"IO.AsyncList.instCoeListAsyncList","line":36,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instCoeListAsyncList","doc":""},"IO.AsyncList.instAppendAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L31-L31","name":"IO.AsyncList.instAppendAsyncList","line":31,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instAppendAsyncList","doc":""},"IO.AsyncList.getFinishedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L100-L110","name":"IO.AsyncList.getFinishedPrefix","line":100,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getFinishedPrefix","doc":"Retrieve the already-computed prefix of the list. If computation has finished with an error, return it as well. "},"IO.AsyncList.getAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L58-L66","name":"IO.AsyncList.getAll","line":58,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getAll","doc":"The computed, synchronous list. If an async tail was present, returns also\nits terminating value. "},"IO.AsyncList.delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L18-L18","name":"IO.AsyncList.delayed","line":18,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.delayed","doc":""},"IO.AsyncList.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L17-L17","name":"IO.AsyncList.cons","line":17,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.cons","doc":""},"IO.AsyncList.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L26-L29","name":"IO.AsyncList.append","line":26,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.append","doc":""},"IO.AsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L16-L19","name":"IO.AsyncList","line":16,"kind":"inductive","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList","doc":"An async IO list is like a lazy list but instead of being *unevaluated* `Thunk`s,\n`delayed` suffixes are `Task`s *being evaluated asynchronously*. A delayed suffix can signal the end\nof computation (successful or due to a failure) with a terminating value of type `ε`. "},"IO.AccessRight.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L663-L663","name":"IO.AccessRight.write","line":663,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.write","doc":""},"IO.AccessRight.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L662-L662","name":"IO.AccessRight.read","line":662,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.read","doc":""},"IO.AccessRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.AccessRight.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.AccessRight.mk","doc":""},"IO.AccessRight.flags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L666-L670","name":"IO.AccessRight.flags","line":666,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.flags","doc":""},"IO.AccessRight.execution":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L664-L664","name":"IO.AccessRight.execution","line":664,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.execution","doc":""},"IO.AccessRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L661-L664","name":"IO.AccessRight","line":661,"kind":"structure","docLink":"./Init/System/IO.html#IO.AccessRight","doc":""},"IO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L66-L66","name":"IO","line":66,"kind":"def","docLink":"./Init/System/IO.html#IO","doc":""},"Hashable.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3347-L3347","name":"Hashable.mk","line":3347,"kind":"ctor","docLink":"./Init/Prelude.html#Hashable.mk","doc":""},"Hashable.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3349-L3349","name":"Hashable.hash","line":3349,"kind":"def","docLink":"./Init/Prelude.html#Hashable.hash","doc":"Hashes the value `a : α` into a `UInt64`. "},"Hashable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3347-L3349","name":"Hashable","line":3347,"kind":"class","docLink":"./Init/Prelude.html#Hashable","doc":"A class for types that can be hashed into a `UInt64`. "},"HasEquiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L338-L338","name":"HasEquiv.mk","line":338,"kind":"ctor","docLink":"./Init/Core.html#HasEquiv.mk","doc":""},"HasEquiv.Equiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L341-L341","name":"HasEquiv.Equiv","line":341,"kind":"def","docLink":"./Init/Core.html#HasEquiv.Equiv","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"HasEquiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L338-L341","name":"HasEquiv","line":338,"kind":"class","docLink":"./Init/Core.html#HasEquiv","doc":"`HasEquiv α` is the typeclass which supports the notation `x ≈ y` where `x y : α`."},"HXor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1234-L1234","name":"HXor.mk","line":1234,"kind":"ctor","docLink":"./Init/Prelude.html#HXor.mk","doc":""},"HXor.hXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1237-L1237","name":"HXor.hXor","line":1237,"kind":"def","docLink":"./Init/Prelude.html#HXor.hXor","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1234-L1237","name":"HXor","line":1234,"kind":"class","docLink":"./Init/Prelude.html#HXor","doc":"The typeclass behind the notation `a ^^^ b : γ` where `a : α`, `b : β`. "},"HSub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1147-L1147","name":"HSub.mk","line":1147,"kind":"ctor","docLink":"./Init/Prelude.html#HSub.mk","doc":""},"HSub.hSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1151-L1151","name":"HSub.hSub","line":1151,"kind":"def","docLink":"./Init/Prelude.html#HSub.hSub","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"HSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1147-L1151","name":"HSub","line":1147,"kind":"class","docLink":"./Init/Prelude.html#HSub","doc":"The notation typeclass for heterogeneous subtraction.\nThis enables the notation `a - b : γ` where `a : α`, `b : β`.\n"},"HShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1255-L1255","name":"HShiftRight.mk","line":1255,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftRight.mk","doc":""},"HShiftRight.hShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1260-L1260","name":"HShiftRight.hShiftRight","line":1260,"kind":"def","docLink":"./Init/Prelude.html#HShiftRight.hShiftRight","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"HShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1255-L1260","name":"HShiftRight","line":1255,"kind":"class","docLink":"./Init/Prelude.html#HShiftRight","doc":"The typeclass behind the notation `a >>> b : γ` where `a : α`, `b : β`. "},"HShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1246-L1246","name":"HShiftLeft.mk","line":1246,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftLeft.mk","doc":""},"HShiftLeft.hShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1252-L1252","name":"HShiftLeft.hShiftLeft","line":1252,"kind":"def","docLink":"./Init/Prelude.html#HShiftLeft.hShiftLeft","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"HShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1246-L1252","name":"HShiftLeft","line":1246,"kind":"class","docLink":"./Init/Prelude.html#HShiftLeft","doc":"The typeclass behind the notation `a <<< b : γ` where `a : α`, `b : β`. "},"HPow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1189-L1189","name":"HPow.mk","line":1189,"kind":"ctor","docLink":"./Init/Prelude.html#HPow.mk","doc":""},"HPow.hPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1192-L1192","name":"HPow.hPow","line":1192,"kind":"def","docLink":"./Init/Prelude.html#HPow.hPow","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"HPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1189-L1192","name":"HPow","line":1189,"kind":"class","docLink":"./Init/Prelude.html#HPow","doc":"The notation typeclass for heterogeneous exponentiation.\nThis enables the notation `a ^ b : γ` where `a : α`, `b : β`.\n"},"HOrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1208-L1208","name":"HOrElse.mk","line":1208,"kind":"ctor","docLink":"./Init/Prelude.html#HOrElse.mk","doc":""},"HOrElse.hOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1213-L1213","name":"HOrElse.hOrElse","line":1213,"kind":"def","docLink":"./Init/Prelude.html#HOrElse.hOrElse","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1208-L1213","name":"HOrElse","line":1208,"kind":"class","docLink":"./Init/Prelude.html#HOrElse","doc":"The typeclass behind the notation `a <|> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HOr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1240-L1240","name":"HOr.mk","line":1240,"kind":"ctor","docLink":"./Init/Prelude.html#HOr.mk","doc":""},"HOr.hOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1243-L1243","name":"HOr.hOr","line":1243,"kind":"def","docLink":"./Init/Prelude.html#HOr.hOr","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1240-L1243","name":"HOr","line":1240,"kind":"class","docLink":"./Init/Prelude.html#HOr","doc":"The typeclass behind the notation `a ||| b : γ` where `a : α`, `b : β`. "},"HMul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1157-L1157","name":"HMul.mk","line":1157,"kind":"ctor","docLink":"./Init/Prelude.html#HMul.mk","doc":""},"HMul.hMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1160-L1160","name":"HMul.hMul","line":1160,"kind":"def","docLink":"./Init/Prelude.html#HMul.hMul","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1157-L1160","name":"HMul","line":1157,"kind":"class","docLink":"./Init/Prelude.html#HMul","doc":"The notation typeclass for heterogeneous multiplication.\nThis enables the notation `a * b : γ` where `a : α`, `b : β`.\n"},"HMod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1179-L1179","name":"HMod.mk","line":1179,"kind":"ctor","docLink":"./Init/Prelude.html#HMod.mk","doc":""},"HMod.hMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1183-L1183","name":"HMod.hMod","line":1183,"kind":"def","docLink":"./Init/Prelude.html#HMod.hMod","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"HMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1179-L1183","name":"HMod","line":1179,"kind":"class","docLink":"./Init/Prelude.html#HMod","doc":"The notation typeclass for heterogeneous modulo / remainder.\nThis enables the notation `a % b : γ` where `a : α`, `b : β`.\n"},"HEq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L630-L631","name":"HEq.trans","line":630,"kind":"theorem","docLink":"./Init/Core.html#HEq.trans","doc":""},"HEq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L624-L625","name":"HEq.symm","line":624,"kind":"theorem","docLink":"./Init/Core.html#HEq.symm","doc":""},"HEq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L621-L622","name":"HEq.subst","line":621,"kind":"theorem","docLink":"./Init/Core.html#HEq.subst","doc":""},"HEq.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L448-L449","name":"HEq.rfl","line":448,"kind":"def","docLink":"./Init/Prelude.html#HEq.rfl","doc":"A version of `HEq.refl` with an implicit argument. "},"HEq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L444-L445","name":"HEq.refl","line":444,"kind":"ctor","docLink":"./Init/Prelude.html#HEq.refl","doc":"Reflexivity of heterogeneous equality. "},"HEq.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L615-L616","name":"HEq.ndrecOn","line":615,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrecOn","doc":""},"HEq.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L612-L613","name":"HEq.ndrec","line":612,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrec","doc":""},"HEq.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L618-L619","name":"HEq.elim","line":618,"kind":"theorem","docLink":"./Init/Core.html#HEq.elim","doc":""},"HEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L443-L445","name":"HEq","line":443,"kind":"inductive","docLink":"./Init/Prelude.html#HEq","doc":"Heterogeneous equality. `HEq a b` asserts that `a` and `b` have the same\ntype, and casting `a` across the equality yields `b`, and vice versa.\n\nYou should avoid using this type if you can. Heterogeneous equality does not\nhave all the same properties as `Eq`, because the assumption that the types of\n`a` and `b` are equal is often too weak to prove theorems of interest. One\nimportant non-theorem is the analogue of `congr`: If `HEq f g` and `HEq x y`\nand `f x` and `g y` are well typed it does not follow that `HEq (f x) (g y)`.\n(This does follow if you have `f = g` instead.) However if `a` and `b` have\nthe same type then `a = b` and `HEq a b` are equivalent.\n"},"HDiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1166-L1166","name":"HDiv.mk","line":1166,"kind":"ctor","docLink":"./Init/Prelude.html#HDiv.mk","doc":""},"HDiv.hDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1173-L1173","name":"HDiv.hDiv","line":1173,"kind":"def","docLink":"./Init/Prelude.html#HDiv.hDiv","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"HDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1166-L1173","name":"HDiv","line":1166,"kind":"class","docLink":"./Init/Prelude.html#HDiv","doc":"The notation typeclass for heterogeneous division.\nThis enables the notation `a / b : γ` where `a : α`, `b : β`.\n"},"HAppend.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1198-L1198","name":"HAppend.mk","line":1198,"kind":"ctor","docLink":"./Init/Prelude.html#HAppend.mk","doc":""},"HAppend.hAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1201-L1201","name":"HAppend.hAppend","line":1201,"kind":"def","docLink":"./Init/Prelude.html#HAppend.hAppend","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"HAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1198-L1201","name":"HAppend","line":1198,"kind":"class","docLink":"./Init/Prelude.html#HAppend","doc":"The notation typeclass for heterogeneous append.\nThis enables the notation `a ++ b : γ` where `a : α`, `b : β`.\n"},"HAndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1220-L1220","name":"HAndThen.mk","line":1220,"kind":"ctor","docLink":"./Init/Prelude.html#HAndThen.mk","doc":""},"HAndThen.hAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1225-L1225","name":"HAndThen.hAndThen","line":1225,"kind":"def","docLink":"./Init/Prelude.html#HAndThen.hAndThen","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1220-L1225","name":"HAndThen","line":1220,"kind":"class","docLink":"./Init/Prelude.html#HAndThen","doc":"The typeclass behind the notation `a >> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HAnd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1228-L1228","name":"HAnd.mk","line":1228,"kind":"ctor","docLink":"./Init/Prelude.html#HAnd.mk","doc":""},"HAnd.hAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1231-L1231","name":"HAnd.hAnd","line":1231,"kind":"def","docLink":"./Init/Prelude.html#HAnd.hAnd","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1228-L1231","name":"HAnd","line":1228,"kind":"class","docLink":"./Init/Prelude.html#HAnd","doc":"The typeclass behind the notation `a &&& b : γ` where `a : α`, `b : β`. "},"HAdd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1138-L1138","name":"HAdd.mk","line":1138,"kind":"ctor","docLink":"./Init/Prelude.html#HAdd.mk","doc":""},"HAdd.hAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1141-L1141","name":"HAdd.hAdd","line":1141,"kind":"def","docLink":"./Init/Prelude.html#HAdd.hAdd","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1138-L1141","name":"HAdd","line":1138,"kind":"class","docLink":"./Init/Prelude.html#HAdd","doc":"The notation typeclass for heterogeneous addition.\nThis enables the notation `a + b : γ` where `a : α`, `b : β`.\n"},"Goedel.toType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"Goedel.mk":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"Goedel":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"GetElem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2460-L2460","name":"GetElem.mk","line":2460,"kind":"ctor","docLink":"./Init/Prelude.html#GetElem.mk","doc":""},"GetElem.getElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2481-L2481","name":"GetElem.getElem","line":2481,"kind":"def","docLink":"./Init/Prelude.html#GetElem.getElem","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"GetElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2460-L2481","name":"GetElem","line":2460,"kind":"class","docLink":"./Init/Prelude.html#GetElem","doc":"The class `GetElem cont idx elem dom` implements the `xs[i]` notation.\nWhen you write this, given `xs : cont` and `i : idx`, lean looks for an instance\nof `GetElem cont idx elem dom`. Here `elem` is the type of `xs[i]`, while\n`dom` is whatever proof side conditions are required to make this applicable.\nFor example, the instance for arrays looks like\n`GetElem (Array α) Nat α (fun xs i => i < xs.size)`.\n\nThe proof side-condition `dom xs i` is automatically dispatched by the\n`get_elem_tactic` tactic, which can be extended by adding more clauses to\n`get_elem_tactic_trivial`.\n"},"GT.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1085-L1085","name":"GT.gt","line":1085,"kind":"def","docLink":"./Init/Prelude.html#GT.gt","doc":"`a > b` is an abbreviation for `b < a`. "},"GE.ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1083-L1083","name":"GE.ge","line":1083,"kind":"def","docLink":"./Init/Prelude.html#GE.ge","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"Functor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2683-L2683","name":"Functor.mk","line":2683,"kind":"ctor","docLink":"./Init/Prelude.html#Functor.mk","doc":""},"Functor.mapRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L12-L13","name":"Functor.mapRev","line":12,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.mapRev","doc":""},"Functor.mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2688-L2688","name":"Functor.mapConst","line":2688,"kind":"def","docLink":"./Init/Prelude.html#Functor.mapConst","doc":"The special case `const a <$> x`, which can sometimes be implemented more\nefficiently. "},"Functor.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2685-L2685","name":"Functor.map","line":2685,"kind":"def","docLink":"./Init/Prelude.html#Functor.map","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"Functor.discard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L18-L19","name":"Functor.discard","line":18,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.discard","doc":""},"Functor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2683-L2688","name":"Functor","line":2683,"kind":"class","docLink":"./Init/Prelude.html#Functor","doc":"In functional programming, a \"functor\" is a function on types `F : Type u → Type v`\nequipped with an operator called `map` or `<$>` such that if `f : α → β` then\n`map f : F α → F β`, so `f <$> x : F β` if `x : F α`. This corresponds to the\ncategory-theory notion of [functor](https://en.wikipedia.org/wiki/Functor) in\nthe special case where the category is the category of types and functions\nbetween them, except that this class supplies only the operations and not the\nlaws (see `LawfulFunctor`).\n"},"Function.const_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L31-L31","name":"Function.const_apply","line":31,"kind":"theorem","docLink":"./Init/Core.html#Function.const_apply","doc":""},"Function.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L66-L67","name":"Function.const","line":66,"kind":"def","docLink":"./Init/Prelude.html#Function.const","doc":"The constant function. If `a : α`, then `Function.const β a : β → α` is the\n\"constant function with value `a`\", that is, `Function.const β a b = a`.\n```\nexample (b : Bool) : Function.const Bool 10 b = 10 :=\n rfl\n\n#check Function.const Bool 10\n-- Bool → Nat\n```\n"},"Function.comp_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L33-L33","name":"Function.comp_apply","line":33,"kind":"theorem","docLink":"./Init/Core.html#Function.comp_apply","doc":""},"Function.comp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L52-L53","name":"Function.comp","line":52,"kind":"def","docLink":"./Init/Prelude.html#Function.comp","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"ForM.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L230-L230","name":"ForM.mk","line":230,"kind":"ctor","docLink":"./Init/Control/Basic.html#ForM.mk","doc":""},"ForM.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L231-L231","name":"ForM.forM","line":231,"kind":"def","docLink":"./Init/Control/Basic.html#ForM.forM","doc":""},"ForM.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/State.lean#L103-L111","name":"ForM.forIn","line":103,"kind":"def","docLink":"./Init/Control/State.html#ForM.forIn","doc":"Adapter to create a ForIn instance from a ForM instance "},"ForM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L230-L231","name":"ForM","line":230,"kind":"class","docLink":"./Init/Control/Basic.html#ForM","doc":"Typeclass for the polymorphic `forM` operation described in the \"do unchained\" paper.\nRemark:\n- `γ` is a \"container\" type of elements of type `α`.\n- `α` is treated as an output parameter by the typeclass resolution procedure.\n That is, it tries to find an instance using only `m` and `γ`.\n"},"ForInStep.yield":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L216-L218","name":"ForInStep.yield","line":216,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.yield","doc":"`.yield a` means that we should continue the loop.\n`.yield` is produced by `continue` and reaching the bottom of the loop body. "},"ForInStep.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L213-L215","name":"ForInStep.done","line":213,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.done","doc":"`.done a` means that we should early-exit the loop.\n`.done` is produced by calls to `break` or `return` in the loop. "},"ForInStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L212-L219","name":"ForInStep","line":212,"kind":"inductive","docLink":"./Init/Core.html#ForInStep","doc":"Auxiliary type used to compile `for x in xs` notation.\n\nThis is the return value of the body of a `ForIn` call,\nrepresenting the body of a for loop. It can be:\n\n* `.yield (a : α)`, meaning that we should continue the loop and `a` is the new state.\n `.yield` is produced by `continue` and reaching the bottom of the loop body.\n* `.done (a : α)`, meaning that we should early-exit the loop with state `a`.\n `.done` is produced by calls to `break` or `return` in the loop,\n"},"ForIn.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L227-L227","name":"ForIn.mk","line":227,"kind":"ctor","docLink":"./Init/Core.html#ForIn.mk","doc":""},"ForIn.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L248-L248","name":"ForIn.forIn","line":248,"kind":"def","docLink":"./Init/Core.html#ForIn.forIn","doc":"`forIn x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` to\n`f : α → β → m (ForInStep β)`. `b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration.\n\nThe expression\n```\nlet mut b := ...\nfor x in xs do\n b ← foo x b\n```\nin a `do` block is syntactic sugar for:\n```\nlet b := ...\nlet b ← forIn xs b (fun x b => do\n let b ← foo x b\n return .yield b)\n```\n(Here `b` corresponds to the variables mutated in the loop.) "},"ForIn'.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L257-L257","name":"ForIn'.mk","line":257,"kind":"ctor","docLink":"./Init/Core.html#ForIn'.mk","doc":""},"ForIn'.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L264-L264","name":"ForIn'.forIn'","line":264,"kind":"def","docLink":"./Init/Core.html#ForIn'.forIn'","doc":"`forIn' x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` along\nwith a proof that `a ∈ x` to `f : (a : α) → a ∈ x → β → m (ForInStep β)`.\n`b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration. "},"ForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L257-L264","name":"ForIn'","line":257,"kind":"class","docLink":"./Init/Core.html#ForIn'","doc":"`ForIn' m ρ α d` is a variation on the `ForIn m ρ α` typeclass which supports the\n`for h : x in xs` notation. It is the same as `for x in xs` except that `h : x ∈ xs`\nis provided as an additional argument to the body of the for-loop.\n"},"ForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L227-L248","name":"ForIn","line":227,"kind":"class","docLink":"./Init/Core.html#ForIn","doc":"`ForIn m ρ α` is the typeclass which supports `for x in xs` notation.\nHere `xs : ρ` is the type of the collection to iterate over, `x : α`\nis the element type which is made available inside the loop, and `m` is the monad\nfor the encompassing `do` block.\n"},"FloatSpec.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L13-L13","name":"FloatSpec.val","line":13,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.val","doc":""},"FloatSpec.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L1-L1","name":"FloatSpec.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#FloatSpec.mk","doc":""},"FloatSpec.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L14-L14","name":"FloatSpec.lt","line":14,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.lt","doc":""},"FloatSpec.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L15-L15","name":"FloatSpec.le","line":15,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.le","doc":""},"FloatSpec.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L12-L12","name":"FloatSpec.float","line":12,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.float","doc":""},"FloatSpec.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L16-L16","name":"FloatSpec.decLt","line":16,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLt","doc":""},"FloatSpec.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L17-L17","name":"FloatSpec.decLe","line":17,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLe","doc":""},"FloatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L11-L17","name":"FloatSpec","line":11,"kind":"structure","docLink":"./Init/Data/Float.html#FloatSpec","doc":""},"FloatArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L65-L66","name":"FloatArray.uset","line":65,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uset","doc":""},"FloatArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L41-L42","name":"FloatArray.uget","line":41,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uget","doc":""},"FloatArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L80-L84","name":"FloatArray.toList.loop","line":80,"kind":"opaque","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList.loop","doc":""},"FloatArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L79-L85","name":"FloatArray.toList","line":79,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList","doc":""},"FloatArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L37-L38","name":"FloatArray.size","line":37,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.size","doc":""},"FloatArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L73-L74","name":"FloatArray.set!","line":73,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set!","doc":""},"FloatArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L69-L70","name":"FloatArray.set","line":69,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set","doc":""},"FloatArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L33-L34","name":"FloatArray.push","line":33,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.push","doc":""},"FloatArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L20-L21","name":"FloatArray.mkEmpty","line":20,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mkEmpty","doc":""},"FloatArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L1-L1","name":"FloatArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mk","doc":""},"FloatArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/B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"},"Float.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L72-L72","name":"Float.toString","line":72,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toString","doc":""},"Float.tanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L118-L118","name":"Float.tanh","line":118,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tanh","doc":""},"Float.tan":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L111-L111","name":"Float.tan","line":111,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tan","doc":""},"Float.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L35-L35","name":"Float.sub","line":35,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sub","doc":""},"Float.sqrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L128-L128","name":"Float.sqrt","line":128,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sqrt","doc":""},"Float.sinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L116-L116","name":"Float.sinh","line":116,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sinh","doc":""},"Float.sin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L109-L109","name":"Float.sin","line":109,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sin","doc":""},"Float.scaleB":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L145-L145","name":"Float.scaleB","line":145,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.scaleB","doc":"Efficiently computes `x * 2^i`.\n"},"Float.round":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L132-L132","name":"Float.round","line":132,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.round","doc":""},"Float.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L127-L127","name":"Float.pow","line":127,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.pow","doc":""},"Float.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L26-L32","name":"Float.ofScientific","line":26,"kind":"opaque","docLink":"./Init/Data/OfScientific.html#Float.ofScientific","doc":""},"Float.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L46-L47","name":"Float.ofNat","line":46,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofNat","doc":""},"Float.ofInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L49-L51","name":"Float.ofInt","line":49,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofInt","doc":""},"Float.ofBinaryScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L20-L24","name":"Float.ofBinaryScientific","line":20,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofBinaryScientific","doc":"Computes `m * 2^e`. "},"Float.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L38-L38","name":"Float.neg","line":38,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.neg","doc":""},"Float.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L36-L36","name":"Float.mul","line":36,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.mul","doc":""},"Float.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L1-L1","name":"Float.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#Float.mk","doc":""},"Float.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L41-L43","name":"Float.lt","line":41,"kind":"def","docLink":"./Init/Data/Float.html#Float.lt","doc":""},"Float.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L125-L125","name":"Float.log2","line":125,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log2","doc":""},"Float.log10":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L126-L126","name":"Float.log10","line":126,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log10","doc":""},"Float.log":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L124-L124","name":"Float.log","line":124,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log","doc":""},"Float.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L45-L46","name":"Float.le","line":45,"kind":"def","docLink":"./Init/Data/Float.html#Float.le","doc":""},"Float.isNaN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L90-L90","name":"Float.isNaN","line":90,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isNaN","doc":""},"Float.isInf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L92-L92","name":"Float.isInf","line":92,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isInf","doc":""},"Float.isFinite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L91-L91","name":"Float.isFinite","line":91,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isFinite","doc":""},"Float.frExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L97-L97","name":"Float.frExp","line":97,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.frExp","doc":"Splits the given float `x` into a significand/exponent pair `(s, i)`\nsuch that `x = s * 2^i` where `s ∈ (-1;-0.5] ∪ [0.5; 1)`.\nReturns an undefined value if `x` is not finite.\n"},"Float.floor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L131-L131","name":"Float.floor","line":131,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.floor","doc":""},"Float.exp2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L123-L123","name":"Float.exp2","line":123,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp2","doc":""},"Float.exp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L122-L122","name":"Float.exp","line":122,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp","doc":""},"Float.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L37-L37","name":"Float.div","line":37,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.div","doc":""},"Float.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L61-L63","name":"Float.decLt","line":61,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLt","doc":""},"Float.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L65-L67","name":"Float.decLe","line":65,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLe","doc":""},"Float.cosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L117-L117","name":"Float.cosh","line":117,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cosh","doc":""},"Float.cos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L110-L110","name":"Float.cos","line":110,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cos","doc":""},"Float.ceil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L130-L130","name":"Float.ceil","line":130,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.ceil","doc":""},"Float.cbrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L129-L129","name":"Float.cbrt","line":129,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cbrt","doc":""},"Float.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L57-L57","name":"Float.beq","line":57,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.beq","doc":"Note: this is not reflexive since `NaN != NaN`."},"Float.atanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L121-L121","name":"Float.atanh","line":121,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atanh","doc":""},"Float.atan2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L115-L115","name":"Float.atan2","line":115,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan2","doc":""},"Float.atan":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L114-L114","name":"Float.atan","line":114,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan","doc":""},"Float.asinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L119-L119","name":"Float.asinh","line":119,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asinh","doc":""},"Float.asin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L112-L112","name":"Float.asin","line":112,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asin","doc":""},"Float.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L34-L34","name":"Float.add","line":34,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.add","doc":""},"Float.acosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L120-L120","name":"Float.acosh","line":120,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acosh","doc":""},"Float.acos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L113-L113","name":"Float.acos","line":113,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acos","doc":""},"Float.abs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L133-L133","name":"Float.abs","line":133,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.abs","doc":""},"Float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L29-L30","name":"Float","line":29,"kind":"structure","docLink":"./Init/Data/Float.html#Float","doc":""},"Fin.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L68-L69","name":"Fin.xor","line":68,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.xor","doc":""},"Fin.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L109-L110","name":"Fin.val_ne_of_ne","line":109,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_ne_of_ne","doc":""},"Fin.val_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L115-L116","name":"Fin.val_lt_of_le","line":115,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_lt_of_le","doc":""},"Fin.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1755-L1756","name":"Fin.val_eq_of_eq","line":1755,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.val_eq_of_eq","doc":""},"Fin.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1748-L1748","name":"Fin.val","line":1748,"kind":"def","docLink":"./Init/Prelude.html#Fin.val","doc":"If `i : Fin n`, then `i.val : ℕ` is the described number. It can also be\nwritten as `i.1` or just `i` when the target type is known. "},"Fin.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L21-L22","name":"Fin.succ","line":21,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.succ","doc":""},"Fin.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L44-L45","name":"Fin.sub","line":44,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.sub","doc":""},"Fin.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L11-L12","name":"Fin.sizeOf","line":11,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Fin.sizeOf","doc":""},"Fin.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L74-L75","name":"Fin.shiftRight","line":74,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftRight","doc":""},"Fin.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L71-L72","name":"Fin.shiftLeft","line":71,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftLeft","doc":""},"Fin.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L29-L30","name":"Fin.ofNat'","line":29,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat'","doc":""},"Fin.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L26-L27","name":"Fin.ofNat","line":26,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat","doc":""},"Fin.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1758-L1759","name":"Fin.ne_of_val_ne","line":1758,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.ne_of_val_ne","doc":""},"Fin.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L41-L42","name":"Fin.mul","line":41,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mul","doc":""},"Fin.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L112-L113","name":"Fin.modn_lt","line":112,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.modn_lt","doc":""},"Fin.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L59-L60","name":"Fin.modn","line":59,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.modn","doc":""},"Fin.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L53-L54","name":"Fin.mod","line":53,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mod","doc":""},"Fin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1745-L1745","name":"Fin.mk","line":1745,"kind":"ctor","docLink":"./Init/Prelude.html#Fin.mk","doc":""},"Fin.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L65-L66","name":"Fin.lor","line":65,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.lor","doc":""},"Fin.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Log2.lean#L9-L9","name":"Fin.log2","line":9,"kind":"def","docLink":"./Init/Data/Fin/Log2.html#Fin.log2","doc":""},"Fin.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L62-L63","name":"Fin.land","line":62,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.land","doc":""},"Fin.isLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1750-L1750","name":"Fin.isLt","line":1750,"kind":"def","docLink":"./Init/Prelude.html#Fin.isLt","doc":"If `i : Fin n`, then `i.2` is a proof that `i.1 < n`. "},"Fin.instXorFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L96-L97","name":"Fin.instXorFin","line":96,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instXorFin","doc":""},"Fin.instSubFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L80-L81","name":"Fin.instSubFin","line":80,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instSubFin","doc":""},"Fin.instShiftRightFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L100-L101","name":"Fin.instShiftRightFin","line":100,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftRightFin","doc":""},"Fin.instShiftLeftFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L98-L99","name":"Fin.instShiftLeftFin","line":98,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftLeftFin","doc":""},"Fin.instOrOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L94-L95","name":"Fin.instOrOpFin","line":94,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOrOpFin","doc":""},"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L103-L104","name":"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","line":103,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instMulFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L83-L84","name":"Fin.instMulFin","line":83,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instMulFin","doc":""},"Fin.instModFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L86-L87","name":"Fin.instModFin","line":86,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instModFin","doc":""},"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L106-L107","name":"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","line":106,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instDivFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L89-L90","name":"Fin.instDivFin","line":89,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instDivFin","doc":""},"Fin.instAndOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L92-L93","name":"Fin.instAndOpFin","line":92,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAndOpFin","doc":""},"Fin.instAddFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L77-L78","name":"Fin.instAddFin","line":77,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAddFin","doc":""},"Fin.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1752-L1753","name":"Fin.eq_of_val_eq","line":1752,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.eq_of_val_eq","doc":""},"Fin.elim0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L18-L19","name":"Fin.elim0","line":18,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.elim0","doc":""},"Fin.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L56-L57","name":"Fin.div","line":56,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.div","doc":""},"Fin.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1773-L1773","name":"Fin.decLt","line":1773,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLt","doc":""},"Fin.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1774-L1774","name":"Fin.decLe","line":1774,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLe","doc":""},"Fin.coeToNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L15-L16","name":"Fin.coeToNat","line":15,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.coeToNat","doc":""},"Fin.coeLt":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"Fin.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L38-L39","name":"Fin.add","line":38,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.add","doc":""},"Fin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1745-L1750","name":"Fin","line":1745,"kind":"structure","docLink":"./Init/Prelude.html#Fin","doc":"`Fin n` is a natural number `i` with the constraint that `0 ≤ i < n`.\nIt is the \"canonical type with `n` elements\".\n"},"False.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L223-L224","name":"False.elim","line":223,"kind":"def","docLink":"./Init/Prelude.html#False.elim","doc":"`False.elim : False → C` says that from `False`, any desired proposition\n`C` holds. Also known as ex falso quodlibet (EFQ) or the principle of explosion.\n\nThe target type is actually `C : Sort u` which means it works for both\npropositions and types. When executed, this acts like an \"unreachable\"\ninstruction: it is **undefined behavior** to run, but it will probably print\n\"unreachable code\". (You would need to construct a proof of false to run it\nanyway, which you can only do using `sorry` or unsound axioms.)\n"},"False":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L189-L189","name":"False","line":189,"kind":"inductive","docLink":"./Init/Prelude.html#False","doc":"`False` is the empty proposition. Thus, it has no introduction rules.\nIt represents a contradiction. `False` elimination rule, `False.rec`,\nexpresses the fact that anything follows from a contradiction.\nThis rule is sometimes called ex falso (short for ex falso sequitur quodlibet),\nor the principle of explosion.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Exists.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L197-L199","name":"Exists.intro","line":197,"kind":"ctor","docLink":"./Init/Core.html#Exists.intro","doc":"Existential introduction. If `a : α` and `h : p a`,\nthen `⟨a, h⟩` is a proof that `∃ x : α, p x`. "},"Exists.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L685-L688","name":"Exists.elim","line":685,"kind":"theorem","docLink":"./Init/Core.html#Exists.elim","doc":""},"Exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L196-L199","name":"Exists","line":196,"kind":"inductive","docLink":"./Init/Core.html#Exists","doc":"Existential quantification. If `p : α → Prop` is a predicate, then `∃ x : α, p x`\nasserts that there is some `x` of type `α` such that `p x` holds.\nTo create an existential proof, use the `exists` tactic,\nor the anonymous constructor notation `⟨x, h⟩`.\nTo unpack an existential, use `cases h` where `h` is a proof of `∃ x : α, p x`,\nor `let ⟨x, hx⟩ := h` where `.\n\nBecause Lean has proof irrelevance, any two proofs of an existential are\ndefinitionally equal. One consequence of this is that it is impossible to recover the\nwitness of an existential from the mere fact of its existence.\nFor example, the following does not compile:\n```\nexample (h : ∃ x : Nat, x = x) : Nat :=\n let ⟨x, _⟩ := h -- fail, because the goal is `Nat : Type`\n x\n```\nThe error message `recursor 'Exists.casesOn' can only eliminate into Prop` means\nthat this only works when the current goal is another proposition:\n```\nexample (h : ∃ x : Nat, x = x) : True :=\n let ⟨x, _⟩ := h -- ok, because the goal is `True : Prop`\n trivial\n```\n"},"ExceptT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L114-L117","name":"ExceptT.tryCatch","line":114,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.tryCatch","doc":""},"ExceptT.seq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L137-L138","name":"ExceptT.seq_eq","line":137,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seq_eq","doc":""},"ExceptT.seqRight_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L155-L161","name":"ExceptT.seqRight_eq","line":155,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqRight_eq","doc":""},"ExceptT.seqLeft_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L143-L153","name":"ExceptT.seqLeft_eq","line":143,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqLeft_eq","doc":""},"ExceptT.run_throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L112-L112","name":"ExceptT.run_throw","line":112,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_throw","doc":""},"ExceptT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L108-L108","name":"ExceptT.run_pure","line":108,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_pure","doc":""},"ExceptT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L131-L135","name":"ExceptT.run_map","line":131,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_map","doc":""},"ExceptT.run_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L110-L110","name":"ExceptT.run_lift","line":110,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_lift","doc":""},"ExceptT.run_bind_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L114-L115","name":"ExceptT.run_bind_lift","line":114,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind_lift","doc":""},"ExceptT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L120-L126","name":"ExceptT.run_bind","line":120,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind","doc":""},"ExceptT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L80-L80","name":"ExceptT.run","line":80,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.run","doc":""},"ExceptT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L87-L88","name":"ExceptT.pure","line":87,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.pure","doc":""},"ExceptT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L77-L77","name":"ExceptT.mk","line":77,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.mk","doc":""},"ExceptT.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L100-L103","name":"ExceptT.map","line":100,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.map","doc":""},"ExceptT.lift_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L128-L129","name":"ExceptT.lift_pure","line":128,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.lift_pure","doc":""},"ExceptT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L106-L107","name":"ExceptT.lift","line":106,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.lift","doc":""},"ExceptT.instMonadLiftExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L111-L111","name":"ExceptT.instMonadLiftExceptT","line":111,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptT","doc":""},"ExceptT.instMonadLiftExceptExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L110-L110","name":"ExceptT.instMonadLiftExceptExceptT","line":110,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptExceptT","doc":""},"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"},"Except.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L17-L18","name":"Except.pure","line":17,"kind":"def","docLink":"./Init/Control/Except.html#Except.pure","doc":""},"Except.orElseLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L60-L63","name":"Except.orElseLazy","line":60,"kind":"def","docLink":"./Init/Control/Except.html#Except.orElseLazy","doc":""},"Except.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2849-L2850","name":"Except.ok","line":2849,"kind":"ctor","docLink":"./Init/Prelude.html#Except.ok","doc":"A success value of type `α` "},"Except.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L25-L28","name":"Except.map_id","line":25,"kind":"theorem","docLink":"./Init/Control/Except.html#Except.map_id","doc":""},"Except.mapError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L31-L33","name":"Except.mapError","line":31,"kind":"def","docLink":"./Init/Control/Except.html#Except.mapError","doc":""},"Except.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L21-L23","name":"Except.map","line":21,"kind":"def","docLink":"./Init/Control/Except.html#Except.map","doc":""},"Except.isOk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L47-L47","name":"Except.isOk","line":47,"kind":"def","docLink":"./Init/Control/Except.html#Except.isOk","doc":""},"Except.instMonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L66-L69","name":"Except.instMonadExcept","line":66,"kind":"instance","docLink":"./Init/Control/Except.html#Except.instMonadExcept","doc":""},"Except.error":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2847-L2848","name":"Except.error","line":2847,"kind":"ctor","docLink":"./Init/Prelude.html#Except.error","doc":"A failure value of type `ε` "},"Except.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L36-L39","name":"Except.bind","line":36,"kind":"def","docLink":"./Init/Control/Except.html#Except.bind","doc":""},"Except":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2846-L2850","name":"Except","line":2846,"kind":"inductive","docLink":"./Init/Prelude.html#Except","doc":"`Except ε α` is a type which represents either an error of type `ε`, or an \"ok\"\nvalue of type `α`. The error type is listed first because\n`Except ε : Type → Type` is a `Monad`: the pure operation is `ok` and the bind\noperation returns the first encountered `error`.\n"},"Equivalence.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L921-L921","name":"Equivalence.trans","line":921,"kind":"def","docLink":"./Init/Core.html#Equivalence.trans","doc":"An equivalence relation is transitive: `x ~ y` and `y ~ z` implies `x ~ z` "},"Equivalence.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L919-L919","name":"Equivalence.symm","line":919,"kind":"def","docLink":"./Init/Core.html#Equivalence.symm","doc":"An equivalence relation is symmetric: `x ~ y` implies `y ~ x` "},"Equivalence.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L917-L917","name":"Equivalence.refl","line":917,"kind":"def","docLink":"./Init/Core.html#Equivalence.refl","doc":"An equivalence relation is reflexive: `x ~ x` "},"Equivalence.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L915-L915","name":"Equivalence.mk","line":915,"kind":"ctor","docLink":"./Init/Core.html#Equivalence.mk","doc":""},"Equivalence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L915-L921","name":"Equivalence","line":915,"kind":"structure","docLink":"./Init/Core.html#Equivalence","doc":"An equivalence relation `~ : α → α → Prop` is a relation that is:\n\n* reflexive: `x ~ x`\n* symmetric: `x ~ y` implies `y ~ x`\n* transitive: `x ~ y` and `y ~ z` implies `x ~ z`\n\nEquality is an equivalence relation, and equivalence relations share many of\nthe properties of equality. In particular, `Quot α r` is most well behaved\nwhen `r` is an equivalence relation, and in this case we use `Quotient` instead.\n"},"Eq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L322-L323","name":"Eq.trans","line":322,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.trans","doc":"Equality is transitive: if `a = b` and `b = c` then `a = c`.\n\nBecause this is in the `Eq` namespace, if you have variables or expressions\n`h₁ : a = b` and `h₂ : b = c`, you can use `h₁.trans h₂ : a = c` as shorthand\nfor `Eq.trans h₁ h₂`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L310-L311","name":"Eq.symm","line":310,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.symm","doc":"Equality is symmetric: if `a = b` then `b = a`.\n\nBecause this is in the `Eq` namespace, if you have a variable `h : a = b`,\n`h.symm` can be used as shorthand for `Eq.symm h` as a proof of `b = a`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.substr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L550-L551","name":"Eq.substr","line":550,"kind":"theorem","docLink":"./Init/Core.html#Eq.substr","doc":""},"Eq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L299-L300","name":"Eq.subst","line":299,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.subst","doc":"The substitution principle for equality. If `a = b ` and `P a` holds,\nthen `P b` also holds. We conventionally use the name `motive` for `P` here,\nso that you can specify it explicitly using e.g.\n`Eq.subst (motive := fun x => x < 5)` if it is not otherwise inferred correctly.\n\nThis theorem is the underlying mechanism behind the `rw` tactic, which is\nessentially a fancy algorithm for finding good `motive` arguments to usefully\napply this theorem to replace occurrences of `a` with `b` in the goal or\nhypotheses.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L264-L266","name":"Eq.refl","line":264,"kind":"ctor","docLink":"./Init/Prelude.html#Eq.refl","doc":"`Eq.refl a : a = a` is reflexivity, the unique constructor of the\nequality type. See also `rfl`, which is usually used instead. "},"Eq.propIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1144-L1145","name":"Eq.propIntro","line":1144,"kind":"theorem","docLink":"./Init/Core.html#Eq.propIntro","doc":""},"Eq.mpr_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L62-L62","name":"Eq.mpr_prop","line":62,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_prop","doc":""},"Eq.mpr_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L63-L63","name":"Eq.mpr_not","line":63,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_not","doc":""},"Eq.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L546-L547","name":"Eq.mpr","line":546,"kind":"def","docLink":"./Init/Core.html#Eq.mpr","doc":"If `h : α = β` is a proof of type equality, then `h.mpr : β → α` is the induced\n\"cast\" operation in the reverse direction, mapping elements of `β` to elements of `α`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mpr` is definitionally the identity function.\n"},"Eq.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L536-L537","name":"Eq.mp","line":536,"kind":"def","docLink":"./Init/Core.html#Eq.mp","doc":"If `h : α = β` is a proof of type equality, then `h.mp : α → β` is the induced\n\"cast\" operation, mapping elements of `α` to elements of `β`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mp` is definitionally the identity function.\n"},"Eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L263-L266","name":"Eq","line":263,"kind":"inductive","docLink":"./Init/Prelude.html#Eq","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"EmptyCollection.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L346-L346","name":"EmptyCollection.mk","line":346,"kind":"ctor","docLink":"./Init/Core.html#EmptyCollection.mk","doc":""},"EmptyCollection.emptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L349-L349","name":"EmptyCollection.emptyCollection","line":349,"kind":"def","docLink":"./Init/Core.html#EmptyCollection.emptyCollection","doc":"`∅` or `{}` is the empty set or empty collection.\nIt is supported by the `EmptyCollection` typeclass. "},"EmptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L346-L349","name":"EmptyCollection","line":346,"kind":"class","docLink":"./Init/Core.html#EmptyCollection","doc":"`EmptyCollection α` is the typeclass which supports the notation `∅`, also written as `{}`. "},"Empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L195-L195","name":"Empty","line":195,"kind":"inductive","docLink":"./Init/Prelude.html#Empty","doc":"The empty type. It has no constructors. The `Empty.rec`\neliminator expresses the fact that anything follows from the empty type.\n"},"EStateM.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3253-L3257","name":"EStateM.tryCatch","line":3253,"kind":"def","docLink":"./Init/Prelude.html#EStateM.tryCatch","doc":"Implementation of `tryCatch` for `EStateM` where the state is `Backtrackable`. "},"EStateM.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3236-L3237","name":"EStateM.throw","line":3236,"kind":"def","docLink":"./Init/Prelude.html#EStateM.throw","doc":"The `throw` operation of the `EStateM` monad. "},"EStateM.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3220-L3221","name":"EStateM.set","line":3220,"kind":"def","docLink":"./Init/Prelude.html#EStateM.set","doc":"The `set` operation of the `EStateM` monad. "},"EStateM.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3290-L3293","name":"EStateM.seqRight","line":3290,"kind":"def","docLink":"./Init/Prelude.html#EStateM.seqRight","doc":"The `seqRight` operation of the `EStateM` monad. "},"EStateM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3323-L3326","name":"EStateM.run'","line":3323,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run'","doc":"Execute an `EStateM` on initial state `s` for the returned value `α`.\nIf the monadic action throws an exception, returns `none` instead.\n"},"EStateM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3316-L3316","name":"EStateM.run","line":3316,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run","doc":"Execute an `EStateM` on initial state `s` to get a `Result`. "},"EStateM.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3215-L3216","name":"EStateM.pure","line":3215,"kind":"def","docLink":"./Init/Prelude.html#EStateM.pure","doc":"The `pure` operation of the `EStateM` monad. "},"EStateM.orElse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L35-L42","name":"EStateM.orElse'","line":35,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.orElse'","doc":"Alternative orElse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orElse` uses the second. "},"EStateM.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3261-L3265","name":"EStateM.orElse","line":3261,"kind":"def","docLink":"./Init/Prelude.html#EStateM.orElse","doc":"Implementation of `orElse` for `EStateM` where the state is `Backtrackable`. "},"EStateM.nonBacktrackable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3340-L3342","name":"EStateM.nonBacktrackable","line":3340,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.nonBacktrackable","doc":"Dummy default instance. This makes every `σ` trivially \"backtrackable\"\nby doing nothing on backtrack. Because this is the first declared instance\nof `Backtrackable _ σ`, it will be picked only if there are no other\n`Backtrackable _ σ` instances registered.\n"},"EStateM.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3230-L3232","name":"EStateM.modifyGet","line":3230,"kind":"def","docLink":"./Init/Prelude.html#EStateM.modifyGet","doc":"The `modifyGet` operation of the `EStateM` monad. "},"EStateM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3283-L3286","name":"EStateM.map","line":3283,"kind":"def","docLink":"./Init/Prelude.html#EStateM.map","doc":"The `map` operation of the `EStateM` monad. "},"EStateM.instToStringResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L16-L19","name":"EStateM.instToStringResult","line":16,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instToStringResult","doc":""},"EStateM.instReprResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L21-L24","name":"EStateM.instReprResult","line":21,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instReprResult","doc":""},"EStateM.instOrElseEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3302-L3303","name":"EStateM.instOrElseEStateM","line":3302,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instOrElseEStateM","doc":""},"EStateM.instMonadStateOfEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3305-L3308","name":"EStateM.instMonadStateOfEStateM","line":3305,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadStateOfEStateM","doc":""},"EStateM.instMonadFinallyEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L45-L55","name":"EStateM.instMonadFinallyEStateM","line":45,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instMonadFinallyEStateM","doc":""},"EStateM.instMonadExceptOfEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3310-L3312","name":"EStateM.instMonadExceptOfEStateM","line":3310,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadExceptOfEStateM","doc":""},"EStateM.instMonadEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3296-L3300","name":"EStateM.instMonadEStateM","line":3296,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadEStateM","doc":""},"EStateM.instInhabitedResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3194-L3195","name":"EStateM.instInhabitedResult","line":3194,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instInhabitedResult","doc":""},"EStateM.instInhabitedEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3210-L3211","name":"EStateM.instInhabitedEStateM","line":3210,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instInhabitedEStateM","doc":""},"EStateM.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3225-L3226","name":"EStateM.get","line":3225,"kind":"def","docLink":"./Init/Prelude.html#EStateM.get","doc":"The `get` operation of the `EStateM` monad. "},"EStateM.fromStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L57-L59","name":"EStateM.fromStateM","line":57,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.fromStateM","doc":""},"EStateM.dummySave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3329-L3329","name":"EStateM.dummySave","line":3329,"kind":"def","docLink":"./Init/Prelude.html#EStateM.dummySave","doc":"The `save` implementation for `Backtrackable PUnit σ`. "},"EStateM.dummyRestore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3332-L3332","name":"EStateM.dummyRestore","line":3332,"kind":"def","docLink":"./Init/Prelude.html#EStateM.dummyRestore","doc":"The `restore` implementation for `Backtrackable PUnit σ`. 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name of the type of the value stored in the `Dynamic`.\n"},"Dynamic.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L96-L96","name":"Dynamic.mk","line":96,"kind":"opaque","docLink":"./Init/Dynamic.html#Dynamic.mk","doc":""},"Dynamic.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L90-L90","name":"Dynamic.get?","line":90,"kind":"opaque","docLink":"./Init/Dynamic.html#Dynamic.get?","doc":"Retrieves the value stored in the `Dynamic`.\nReturns `some a` if the value has the right type, and `none` otherwise.\n"},"Dynamic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L65-L65","name":"Dynamic","line":65,"kind":"def","docLink":"./Init/Dynamic.html#Dynamic","doc":"Type-tagged union that can store any type with a `TypeName` instance.\n\nThis is roughly equivalent to `(α : Type) × TypeName α × α` but without the\nuniverse bump.\n"},"DoResultSBC.pureReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L324-L329","name":"DoResultSBC.pureReturn","line":324,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.pureReturn","doc":"This encodes either `pure (a : α)` or `return (a : α)`:\n* `pure (a : α) s` means that the block exited normally with return value `a`\n* `return (b : β) s` means that the block exited via a `return b` early-exit command\n\nThe one that is actually encoded depends on the context of use. "},"DoResultSBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L333-L335","name":"DoResultSBC.continue","line":333,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultSBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L330-L332","name":"DoResultSBC.break","line":330,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultSBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L323-L335","name":"DoResultSBC","line":323,"kind":"inductive","docLink":"./Init/Core.html#DoResultSBC","doc":"Auxiliary type used to compile `do` notation. It is an optimization of\neither `DoResultPRBC α PEmpty σ` or `DoResultPRBC PEmpty α σ` to remove the\nimpossible case, used when either `pure` or `return` is never used.\n"},"DoResultPRBC.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L285-L286","name":"DoResultPRBC.return","line":285,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.return","doc":"`return (b : β) s` means that the block exited via a `return b` early-exit command "},"DoResultPRBC.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L283-L284","name":"DoResultPRBC.pure","line":283,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.pure","doc":"`pure (a : α) s` means that the block exited normally with return value `a` "},"DoResultPRBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L290-L292","name":"DoResultPRBC.continue","line":290,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultPRBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L287-L289","name":"DoResultPRBC.break","line":287,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultPRBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L282-L292","name":"DoResultPRBC","line":282,"kind":"inductive","docLink":"./Init/Core.html#DoResultPRBC","doc":"Auxiliary type used to compile `do` notation. It is used when compiling a do block\nnested inside a combinator like `tryCatch`. It encodes the possible ways the\nblock can exit:\n* `pure (a : α) s` means that the block exited normally with return value `a`.\n* `return (b : β) s` means that the block exited via a `return b` early-exit command.\n* `break s` means that `break` was called, meaning that we should exit\n from the containing loop.\n* `continue s` means that `continue` was called, meaning that we should continue\n to the next iteration of the containing loop.\n\nAll cases return a value `s : σ` which bundles all the mutable variables of the do-block.\n"},"DoResultPR.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L302-L303","name":"DoResultPR.return","line":302,"kind":"ctor","docLink":"./Init/Core.html#DoResultPR.return","doc":"`return (b : β) s` means that the block exited via a `return b` early-exit command "},"DoResultPR.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L300-L301","name":"DoResultPR.pure","line":300,"kind":"ctor","docLink":"./Init/Core.html#DoResultPR.pure","doc":"`pure (a : α) s` means that the block exited normally with return value `a` "},"DoResultPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L299-L303","name":"DoResultPR","line":299,"kind":"inductive","docLink":"./Init/Core.html#DoResultPR","doc":"Auxiliary type used to compile `do` notation. It is the same as\n`DoResultPRBC α β σ` except that `break` and `continue` are not available\nbecause we are not in a loop context.\n"},"DoResultBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L314-L316","name":"DoResultBC.continue","line":314,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L311-L313","name":"DoResultBC.break","line":311,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L310-L316","name":"DoResultBC","line":310,"kind":"inductive","docLink":"./Init/Core.html#DoResultBC","doc":"Auxiliary type used to compile `do` notation. It is an optimization of\n`DoResultPRBC PEmpty PEmpty σ` to remove the impossible cases,\nused when neither `pure` nor `return` are possible exit paths.\n"},"Div.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1287-L1287","name":"Div.mk","line":1287,"kind":"ctor","docLink":"./Init/Prelude.html#Div.mk","doc":""},"Div.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1289-L1289","name":"Div.div","line":1289,"kind":"def","docLink":"./Init/Prelude.html#Div.div","doc":"`a / b` computes the result of dividing `a` by `b`. See `HDiv`. "},"Div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1287-L1289","name":"Div","line":1287,"kind":"class","docLink":"./Init/Prelude.html#Div","doc":"The homogeneous version of `HDiv`: `a / b : α` where `a b : α`. "},"DecidableRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L832-L833","name":"DecidableRel","line":832,"kind":"def","docLink":"./Init/Prelude.html#DecidableRel","doc":"A decidable relation. See `Decidable`. "},"DecidablePred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L828-L829","name":"DecidablePred","line":828,"kind":"def","docLink":"./Init/Prelude.html#DecidablePred","doc":"A decidable predicate. See `Decidable`. "},"DecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L839-L840","name":"DecidableEq","line":839,"kind":"def","docLink":"./Init/Prelude.html#DecidableEq","doc":"Asserts that `α` has decidable equality, that is, `a = b` is decidable\nfor all `a b : α`. See `Decidable`.\n"},"Decidable.of_not_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L741-L742","name":"Decidable.of_not_not","line":741,"kind":"theorem","docLink":"./Init/Core.html#Decidable.of_not_not","doc":""},"Decidable.not_and_iff_or_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L744-L752","name":"Decidable.not_and_iff_or_not","line":744,"kind":"theorem","docLink":"./Init/Core.html#Decidable.not_and_iff_or_not","doc":""},"Decidable.isTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L813-L814","name":"Decidable.isTrue","line":813,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isTrue","doc":"Prove that `p` is decidable by supplying a proof of `p` "},"Decidable.isFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L811-L812","name":"Decidable.isFalse","line":811,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isFalse","doc":"Prove that `p` is decidable by supplying a proof of `¬p` "},"Decidable.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L734-L735","name":"Decidable.em","line":734,"kind":"theorem","docLink":"./Init/Core.html#Decidable.em","doc":""},"Decidable.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L822-L823","name":"Decidable.decide","line":822,"kind":"def","docLink":"./Init/Prelude.html#Decidable.decide","doc":"Convert a decidable proposition into a boolean value.\n\nIf `p : Prop` is decidable, then `decide p : Bool` is the boolean value\nwhich is `true` if `p` is true and `false` if `p` is false.\n"},"Decidable.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L738-L739","name":"Decidable.byContradiction","line":738,"kind":"theorem","docLink":"./Init/Core.html#Decidable.byContradiction","doc":""},"Decidable.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L729-L732","name":"Decidable.byCases","line":729,"kind":"def","docLink":"./Init/Core.html#Decidable.byCases","doc":"Synonym for `dite` (dependent if-then-else). We can construct an element `q`\n(of any sort, not just a proposition) by cases on whether `p` is true or false,\nprovided `p` is decidable.\n"},"Decidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L810-L814","name":"Decidable","line":810,"kind":"class","docLink":"./Init/Prelude.html#Decidable","doc":"`Decidable p` is a data-carrying class that supplies a proof that `p` is\neither `true` or `false`. It is equivalent to `Bool` (and in fact it has the\nsame code generation as `Bool`) together with a proof that the `Bool` is\ntrue iff `p` is.\n\n`Decidable` instances are used to infer \"computation strategies\" for\npropositions, so that you can have the convenience of writing propositions\ninside `if` statements and executing them (which actually executes the inferred\ndecidability instance instead of the proposition, which has no code).\n\nIf a proposition `p` is `Decidable`, then `(by decide : p)` will prove it by\nevaluating the decidability instance to `isTrue h` and returning `h`.\n"},"Complement.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1350-L1350","name":"Complement.mk","line":1350,"kind":"ctor","docLink":"./Init/Prelude.html#Complement.mk","doc":""},"Complement.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1352-L1352","name":"Complement.complement","line":1352,"kind":"def","docLink":"./Init/Prelude.html#Complement.complement","doc":"The implementation of `~~~a : α`. "},"Complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1350-L1352","name":"Complement","line":1350,"kind":"class","docLink":"./Init/Prelude.html#Complement","doc":"The typeclass behind the notation `~~~a : α` where `a : α`. "},"CoeTail.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L202-L202","name":"CoeTail.mk","line":202,"kind":"ctor","docLink":"./Init/Coe.html#CoeTail.mk","doc":""},"CoeTail.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L205-L205","name":"CoeTail.coe","line":205,"kind":"def","docLink":"./Init/Coe.html#CoeTail.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L202-L205","name":"CoeTail","line":202,"kind":"class","docLink":"./Init/Coe.html#CoeTail","doc":"`CoeTail α β` is for coercions that can only appear at the end of a\nsequence of coercions. That is, `α` can be further coerced via `Coe σ α` and\n`CoeHead τ σ` instances but `β` will only be the expected type of the expression.\n"},"CoeTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L136-L136","name":"CoeTC.mk","line":136,"kind":"ctor","docLink":"./Init/Coe.html#CoeTC.mk","doc":""},"CoeTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L139-L139","name":"CoeTC.coe","line":139,"kind":"def","docLink":"./Init/Coe.html#CoeTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L136-L139","name":"CoeTC","line":136,"kind":"class","docLink":"./Init/Coe.html#CoeTC","doc":"Auxiliary class implementing `Coe*`.\nUsers should generally not implement this directly.\n"},"CoeT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L244-L244","name":"CoeT.mk","line":244,"kind":"ctor","docLink":"./Init/Coe.html#CoeT.mk","doc":""},"CoeT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L248-L248","name":"CoeT.coe","line":248,"kind":"def","docLink":"./Init/Coe.html#CoeT.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L244-L248","name":"CoeT","line":244,"kind":"class","docLink":"./Init/Coe.html#CoeT","doc":"`CoeT` is the core typeclass which is invoked by Lean to resolve a type error.\nIt can also be triggered explicitly with the notation `↑x` or by double type\nascription `((x : α) : β)`.\n\nA `CoeT` chain has the grammar `CoeHead? CoeOut* Coe* CoeTail? | CoeDep`.\n"},"CoeSort.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L277-L277","name":"CoeSort.mk","line":277,"kind":"ctor","docLink":"./Init/Coe.html#CoeSort.mk","doc":""},"CoeSort.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L279-L279","name":"CoeSort.coe","line":279,"kind":"def","docLink":"./Init/Coe.html#CoeSort.coe","doc":"Coerces a value of type `α` to `β`, which must be a universe. "},"CoeSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L277-L279","name":"CoeSort","line":277,"kind":"class","docLink":"./Init/Coe.html#CoeSort","doc":"`CoeSort α β` is a coercion to a sort. `β` must be a universe, and this is\ntriggered when `a : α` appears in a place where a type is expected, like\n`(x : a)` or `a → a`.\n`CoeSort` instances apply to `CoeOut` as well.\n"},"CoeOut.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L149-L149","name":"CoeOut.mk","line":149,"kind":"ctor","docLink":"./Init/Coe.html#CoeOut.mk","doc":""},"CoeOut.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L152-L152","name":"CoeOut.coe","line":152,"kind":"def","docLink":"./Init/Coe.html#CoeOut.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOut":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L149-L152","name":"CoeOut","line":149,"kind":"class","docLink":"./Init/Coe.html#CoeOut","doc":"`CoeOut α β` is for coercions that are applied from left-to-right.\n"},"CoeOTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L159-L159","name":"CoeOTC.mk","line":159,"kind":"ctor","docLink":"./Init/Coe.html#CoeOTC.mk","doc":""},"CoeOTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L162-L162","name":"CoeOTC.coe","line":162,"kind":"def","docLink":"./Init/Coe.html#CoeOTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L159-L162","name":"CoeOTC","line":159,"kind":"class","docLink":"./Init/Coe.html#CoeOTC","doc":"Auxiliary class implementing `CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeHead.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L177-L177","name":"CoeHead.mk","line":177,"kind":"ctor","docLink":"./Init/Coe.html#CoeHead.mk","doc":""},"CoeHead.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L180-L180","name":"CoeHead.coe","line":180,"kind":"def","docLink":"./Init/Coe.html#CoeHead.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L177-L180","name":"CoeHead","line":177,"kind":"class","docLink":"./Init/Coe.html#CoeHead","doc":"`CoeHead α β` is for coercions that are applied from left-to-right at most once\nat beginning of the coercion chain.\n"},"CoeHTCT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L212-L212","name":"CoeHTCT.mk","line":212,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTCT.mk","doc":""},"CoeHTCT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L215-L215","name":"CoeHTCT.coe","line":215,"kind":"def","docLink":"./Init/Coe.html#CoeHTCT.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTCT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L212-L215","name":"CoeHTCT","line":212,"kind":"class","docLink":"./Init/Coe.html#CoeHTCT","doc":"Auxiliary class implementing `CoeHead* Coe* CoeTail?`.\nUsers should generally not implement this directly.\n"},"CoeHTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L187-L187","name":"CoeHTC.mk","line":187,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTC.mk","doc":""},"CoeHTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L190-L190","name":"CoeHTC.coe","line":190,"kind":"def","docLink":"./Init/Coe.html#CoeHTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L187-L190","name":"CoeHTC","line":187,"kind":"class","docLink":"./Init/Coe.html#CoeHTC","doc":"Auxiliary class implementing `CoeHead CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeFun.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L262-L262","name":"CoeFun.mk","line":262,"kind":"ctor","docLink":"./Init/Coe.html#CoeFun.mk","doc":""},"CoeFun.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L266-L266","name":"CoeFun.coe","line":266,"kind":"def","docLink":"./Init/Coe.html#CoeFun.coe","doc":"Coerces a value `f : α` to type `γ f`, which should be either be a\nfunction type or another `CoeFun` type, in order to resolve a mistyped\napplication `f x`. "},"CoeFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L262-L266","name":"CoeFun","line":262,"kind":"class","docLink":"./Init/Coe.html#CoeFun","doc":"`CoeFun α (γ : α → Sort v)` is a coercion to a function. `γ a` should be a\n(coercion-to-)function type, and this is triggered whenever an element\n`f : α` appears in an application like `f x`, which would not make sense since\n`f` does not have a function type.\n`CoeFun` instances apply to `CoeOut` as well.\n"},"CoeDep.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L230-L230","name":"CoeDep.mk","line":230,"kind":"ctor","docLink":"./Init/Coe.html#CoeDep.mk","doc":""},"CoeDep.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L234-L234","name":"CoeDep.coe","line":234,"kind":"def","docLink":"./Init/Coe.html#CoeDep.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L230-L234","name":"CoeDep","line":230,"kind":"class","docLink":"./Init/Coe.html#CoeDep","doc":"`CoeDep α (x : α) β` is a typeclass for dependent coercions, that is, the type `β`\ncan depend on `x` (or rather, the value of `x` is available to typeclass search\nso an instance that relates `β` to `x` is allowed).\n\nDependent coercions do not participate in the transitive chaining process of\nregular coercions: they must exactly match the type mismatch on both sides.\n"},"Coe.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L126-L126","name":"Coe.mk","line":126,"kind":"ctor","docLink":"./Init/Coe.html#Coe.mk","doc":""},"Coe.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L129-L129","name":"Coe.coe","line":129,"kind":"def","docLink":"./Init/Coe.html#Coe.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"Coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L126-L129","name":"Coe","line":126,"kind":"class","docLink":"./Init/Coe.html#Coe","doc":"`Coe α β` is the typeclass for coercions from `α` to `β`. It can be transitively\nchained with other `Coe` instances, and coercion is automatically used when\n`x` has type `α` but it is used in a context where `β` is expected.\nYou can use the `↑x` operator to explicitly trigger coercion.\n"},"Classical.«tacticBy_cases_:_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L126-L129","name":"Classical.«tacticBy_cases_:_»","line":126,"kind":"def","docLink":"./Init/Classical.html#Classical.«tacticBy_cases_:_»","doc":"`by_cases (h :)? p` splits the main goal into two cases, assuming `h : p` in the first branch, and `h : ¬ p` in the second branch.\n"},"Classical.typeDecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L77-L78","name":"Classical.typeDecidableEq","line":77,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidableEq","doc":""},"Classical.typeDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L80-L83","name":"Classical.typeDecidable","line":80,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidable","doc":""},"Classical.strongIndefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L85-L91","name":"Classical.strongIndefiniteDescription","line":85,"kind":"def","docLink":"./Init/Classical.html#Classical.strongIndefiniteDescription","doc":""},"Classical.skolem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L110-L111","name":"Classical.skolem","line":110,"kind":"theorem","docLink":"./Init/Classical.html#Classical.skolem","doc":""},"Classical.propDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L69-L72","name":"Classical.propDecidable","line":69,"kind":"def","docLink":"./Init/Classical.html#Classical.propDecidable","doc":"All propositions are `Decidable`. "},"Classical.propComplete":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L113-L116","name":"Classical.propComplete","line":113,"kind":"theorem","docLink":"./Init/Classical.html#Classical.propComplete","doc":""},"Classical.ofNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L731-L732","name":"Classical.ofNonempty","line":731,"kind":"def","docLink":"./Init/Prelude.html#Classical.ofNonempty","doc":"A variation on `Classical.choice` that uses typeclass inference to\ninfer the proof of `Nonempty α`.\n"},"Classical.inhabited_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L62-L63","name":"Classical.inhabited_of_nonempty","line":62,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_nonempty","doc":""},"Classical.inhabited_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L65-L66","name":"Classical.inhabited_of_exists","line":65,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_exists","doc":""},"Classical.indefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L16-L17","name":"Classical.indefiniteDescription","line":16,"kind":"def","docLink":"./Init/Classical.html#Classical.indefiniteDescription","doc":""},"Classical.exists_true_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L59-L60","name":"Classical.exists_true_of_nonempty","line":59,"kind":"theorem","docLink":"./Init/Classical.html#Classical.exists_true_of_nonempty","doc":""},"Classical.epsilon_spec_aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L97-L98","name":"Classical.epsilon_spec_aux","line":97,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec_aux","doc":""},"Classical.epsilon_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L100-L101","name":"Classical.epsilon_spec","line":100,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec","doc":""},"Classical.epsilon_singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L103-L104","name":"Classical.epsilon_singleton","line":103,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_singleton","doc":""},"Classical.epsilon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L94-L95","name":"Classical.epsilon","line":94,"kind":"def","docLink":"./Init/Classical.html#Classical.epsilon","doc":"the Hilbert epsilon Function "},"Classical.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L26-L57","name":"Classical.em","line":26,"kind":"theorem","docLink":"./Init/Classical.html#Classical.em","doc":"Diaconescu's theorem: excluded middle from choice, Function extensionality and propositional extensionality. "},"Classical.decidableInhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L74-L75","name":"Classical.decidableInhabited","line":74,"kind":"def","docLink":"./Init/Classical.html#Classical.decidableInhabited","doc":""},"Classical.choose_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L22-L23","name":"Classical.choose_spec","line":22,"kind":"theorem","docLink":"./Init/Classical.html#Classical.choose_spec","doc":""},"Classical.choose":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L19-L20","name":"Classical.choose","line":19,"kind":"def","docLink":"./Init/Classical.html#Classical.choose","doc":""},"Classical.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L712-L712","name":"Classical.choice","line":712,"kind":"axiom","docLink":"./Init/Prelude.html#Classical.choice","doc":"**The axiom of choice**. `Nonempty α` is a proof that `α` has an element,\nbut the element itself is erased. The axiom `choice` supplies a particular\nelement of `α` given only this proof.\n\nThe textbook axiom of choice normally makes a family of choices all at once,\nbut that is implied from this formulation, because if `α : ι → Type` is a\nfamily of types and `h : ∀ i, Nonempty (α i)` is a proof that they are all\nnonempty, then `fun i => Classical.choice (h i) : ∀ i, α i` is a family of\nchosen elements. This is actually a bit stronger than the ZFC choice axiom;\nthis is sometimes called \"[global choice](https://en.wikipedia.org/wiki/Axiom_of_global_choice)\".\n\nIn lean, we use the axiom of choice to derive the law of excluded middle\n(see `Classical.em`), so it will often show up in axiom listings where you\nmay not expect. You can use `#print axioms my_thm` to find out if a given\ntheorem depends on this or other axioms.\n\nThis axiom can be used to construct \"data\", but obviously there is no algorithm\nto compute it, so lean will require you to mark any definition that would\ninvolve executing `Classical.choice` or other axioms as `noncomputable`, and\nwill not produce any executable code for such definitions.\n"},"Classical.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L123-L124","name":"Classical.byContradiction","line":123,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byContradiction","doc":""},"Classical.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L119-L120","name":"Classical.byCases","line":119,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byCases","doc":""},"Classical.axiomOfChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L107-L108","name":"Classical.axiomOfChoice","line":107,"kind":"theorem","docLink":"./Init/Classical.html#Classical.axiomOfChoice","doc":"the axiom of choice "},"Char.valid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2057-L2057","name":"Char.valid","line":2057,"kind":"def","docLink":"./Init/Prelude.html#Char.valid","doc":"The value must be a legal codepoint. "},"Char.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2091-L2092","name":"Char.val_ne_of_ne","line":2091,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_ne_of_ne","doc":""},"Char.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2085-L2086","name":"Char.val_eq_of_eq","line":2085,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_eq_of_eq","doc":""},"Char.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2055-L2055","name":"Char.val","line":2055,"kind":"def","docLink":"./Init/Prelude.html#Char.val","doc":"The underlying unicode scalar value as a `UInt32`. "},"Char.utf8Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2101-L2109","name":"Char.utf8Size","line":2101,"kind":"def","docLink":"./Init/Prelude.html#Char.utf8Size","doc":"Returns the number of bytes required to encode this `Char` in UTF-8. "},"Char.utf16Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L17-L18","name":"Char.utf16Size","line":17,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#Char.utf16Size","doc":""},"Char.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L94-L96","name":"Char.toUpper","line":94,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toUpper","doc":"Convert a lower case character to its upper case character.\n\nOnly works on basic latin letters.\n"},"Char.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L765-L766","name":"Char.toString","line":765,"kind":"def","docLink":"./Init/Data/String/Basic.html#Char.toString","doc":""},"Char.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L52-L53","name":"Char.toNat","line":52,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toNat","doc":"Underlying unicode code point as a `Nat`. "},"Char.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L86-L88","name":"Char.toLower","line":86,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toLower","doc":"Convert an upper case character to its lower case character.\n\nOnly works on basic latin letters.\n"},"Char.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L29-L30","name":"Char.sizeOf","line":29,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Char.sizeOf","doc":""},"Char.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L200-L201","name":"Char.repr","line":200,"kind":"def","docLink":"./Init/Data/Repr.html#Char.repr","doc":""},"Char.quoteCore.smallCharToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L188-L192","name":"Char.quoteCore.smallCharToHex","line":188,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore.smallCharToHex","doc":""},"Char.quoteCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L180-L192","name":"Char.quoteCore","line":180,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore","doc":""},"Char.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L194-L195","name":"Char.quote","line":194,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quote","doc":""},"Char.ofNatAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2069-L2070","name":"Char.ofNatAux","line":2069,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNatAux","doc":"Pack a `Nat` encoding a valid codepoint into a `Char`.\nThis function is overridden with a native implementation.\n"},"Char.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2077-L2080","name":"Char.ofNat","line":2077,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNat","doc":"Convert a `Nat` into a `Char`. If the `Nat` does not encode a valid unicode scalar value,\n`'\\0'` is returned instead.\n"},"Char.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2088-L2089","name":"Char.ne_of_val_ne","line":2088,"kind":"theorem","docLink":"./Init/Prelude.html#Char.ne_of_val_ne","doc":""},"Char.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"Char.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Char.mk","doc":""},"Char.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L18-L18","name":"Char.lt","line":18,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.lt","doc":""},"Char.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L19-L19","name":"Char.le","line":19,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.le","doc":""},"Char.isWhitespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L59-L60","name":"Char.isWhitespace","line":59,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isWhitespace","doc":"Is the character a space (U+0020) a tab (U+0009), a carriage return (U+000D) or a newline (U+000A)? "},"Char.isValidUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L34-L41","name":"Char.isValidUInt32","line":34,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidUInt32","doc":""},"Char.isValidChar_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L48-L49","name":"Char.isValidChar_zero","line":48,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_zero","doc":""},"Char.isValidChar_of_isValidChar_Nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L43-L46","name":"Char.isValidChar_of_isValidChar_Nat","line":43,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_of_isValidChar_Nat","doc":""},"Char.isValidCharNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L31-L32","name":"Char.isValidCharNat","line":31,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isValidCharNat","doc":"Determines if the given nat is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value)."},"Char.isUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L63-L64","name":"Char.isUpper","line":63,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isUpper","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZ`? "},"Char.isLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L67-L68","name":"Char.isLower","line":67,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isLower","doc":"Is the character in `abcdefghijklmnopqrstuvwxyz`? "},"Char.isDigit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L75-L76","name":"Char.isDigit","line":75,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isDigit","doc":"Is the character in `0123456789`? "},"Char.isAlphanum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L79-L80","name":"Char.isAlphanum","line":79,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlphanum","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789`? "},"Char.isAlpha":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L71-L72","name":"Char.isAlpha","line":71,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlpha","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`? "},"Char.instLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L21-L21","name":"Char.instLTChar","line":21,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLTChar","doc":""},"Char.instLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L22-L22","name":"Char.instLEChar","line":22,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLEChar","doc":""},"Char.instInhabitedChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L55-L56","name":"Char.instInhabitedChar","line":55,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instInhabitedChar","doc":""},"Char.instDecidableLtCharInstLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L24-L25","name":"Char.instDecidableLtCharInstLTChar","line":24,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLtCharInstLTChar","doc":""},"Char.instDecidableLeCharInstLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L27-L28","name":"Char.instDecidableLeCharInstLEChar","line":27,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLeCharInstLEChar","doc":""},"Char.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2082-L2083","name":"Char.eq_of_val_eq","line":2082,"kind":"theorem","docLink":"./Init/Prelude.html#Char.eq_of_val_eq","doc":""},"Char":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2053-L2057","name":"Char","line":2053,"kind":"structure","docLink":"./Init/Prelude.html#Char","doc":"The `Char` Type represents an unicode scalar value.\nSee http://www.unicode.org/glossary/#unicode_scalar_value). "},"ByteArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L67-L68","name":"ByteArray.uset","line":67,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uset","doc":""},"ByteArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L41-L42","name":"ByteArray.uget","line":41,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uget","doc":""},"ByteArray.toUInt64LE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L197-L206","name":"ByteArray.toUInt64LE!","line":197,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64LE!","doc":"Interpret a `ByteArray` of size 8 as a little-endian `UInt64`. "},"ByteArray.toUInt64BE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L209-L218","name":"ByteArray.toUInt64BE!","line":209,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64BE!","doc":"Interpret a `ByteArray` of size 8 as a big-endian `UInt64`. "},"ByteArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L96-L100","name":"ByteArray.toList.loop","line":96,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toList.loop","doc":""},"ByteArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L95-L101","name":"ByteArray.toList","line":95,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toList","doc":""},"ByteArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L37-L38","name":"ByteArray.size","line":37,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.size","doc":""},"ByteArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L59-L60","name":"ByteArray.set!","line":59,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.set!","doc":""},"ByteArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L63-L64","name":"ByteArray.set","line":63,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.set","doc":""},"ByteArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L33-L34","name":"ByteArray.push","line":33,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.push","doc":""},"ByteArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L21-L22","name":"ByteArray.mkEmpty","line":21,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.mkEmpty","doc":""},"ByteArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L1-L1","name":"ByteArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.mk","doc":""},"ByteArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L76-L77","name":"ByteArray.isEmpty","line":76,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.isEmpty","doc":""},"ByteArray.instInhabitedByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L26-L27","name":"ByteArray.instInhabitedByteArray","line":26,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instInhabitedByteArray","doc":""},"ByteArray.instHashableByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L73-L74","name":"ByteArray.instHashableByteArray","line":73,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instHashableByteArray","doc":""},"ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L55-L56","name":"ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize","line":55,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize","doc":""},"ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L52-L53","name":"ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize","line":52,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize","doc":""},"ByteArray.instForInByteArrayUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L144-L145","name":"ByteArray.instForInByteArrayUInt8","line":144,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instForInByteArrayUInt8","doc":""},"ByteArray.instEmptyCollectionByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L29-L30","name":"ByteArray.instEmptyCollectionByteArray","line":29,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instEmptyCollectionByteArray","doc":""},"ByteArray.instAppendByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L93-L93","name":"ByteArray.instAppendByteArray","line":93,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#Byt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"},"ByteArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L151-L155","name":"ByteArray.foldlMUnsafe.fold","line":151,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe.fold","doc":""},"ByteArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L150-L162","name":"ByteArray.foldlMUnsafe","line":150,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"ByteArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L168-L175","name":"ByteArray.foldlM.loop","line":168,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM.loop","doc":""},"ByteArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L166-L180","name":"ByteArray.foldlM","line":166,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM","doc":"Reference implementation for `foldlM` "},"ByteArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L183-L184","name":"ByteArray.foldl","line":183,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldl","doc":""},"ByteArray.findIdx?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L104-L108","name":"ByteArray.findIdx?.loop","line":104,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?.loop","doc":""},"ByteArray.findIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L103-L109","name":"ByteArray.findIdx?","line":103,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?","doc":""},"ByteArray.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L86-L87","name":"ByteArray.extract","line":86,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.extract","doc":""},"ByteArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L24-L24","name":"ByteArray.empty","line":24,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.empty","doc":""},"ByteArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L14-L14","name":"ByteArray.data","line":14,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.data","doc":""},"ByteArray.copySlice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L83-L84","name":"ByteArray.copySlice","line":83,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.copySlice","doc":"Copy 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boolean value `false`, not to be confused with the proposition `False`. "},"Bool.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L871-L876","name":"Bool.decEq","line":871,"kind":"def","docLink":"./Init/Prelude.html#Bool.decEq","doc":"Decidable equality for Bool "},"Bool.beq_to_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L131-L132","name":"Bool.beq_to_eq","line":131,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.beq_to_eq","doc":""},"Bool.and_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L111-L111","name":"Bool.and_true","line":111,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_true","doc":""},"Bool.and_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L114-L114","name":"Bool.and_self","line":114,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_self","doc":""},"Bool.and_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L110-L110","name":"Bool.and_false","line":110,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_false","doc":""},"Bool.and_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L115-L116","name":"Bool.and_eq_true","line":115,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_eq_true","doc":""},"Bool.and_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L118-L119","name":"Bool.and_assoc","line":118,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_assoc","doc":""},"Bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L545-L549","name":"Bool","line":545,"kind":"inductive","docLink":"./Init/Prelude.html#Bool","doc":"`Bool` is the type of boolean values, `true` and `false`. Classically,\nthis is equivalent to `Prop` (the type of propositions), but the distinction\nis important for programming, because values of type `Prop` are erased in the\ncode generator, while `Bool` corresponds to the type called `bool` or `boolean`\nin most programming languages.\n"},"Bitvec.«term𝟷»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"Bitvec.«term𝟷_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"Bitvec.«term𝟶»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"Bitvec.«term𝟶_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"Bitvec.«term_⊑_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"Bitvec.«term_≥ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"Bitvec.«term_≥ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"Bitvec.«term_≤ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"Bitvec.«term_≤ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"Bitvec.«term_>ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"Bitvec.«term_>ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"Bitvec.«term_>>>ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"Bitvec.«term_<ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"Bitvec.«term_<ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"Bitvec.zsmul_def":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"Bitvec.zero_def":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"Bitvec.width":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"Bitvec.ure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This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"Bitvec.ult":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"Bitvec.ule":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"Bitvec.ugt":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"Bitvec.uge":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"Bitvec.udiv?":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"Bitvec.toZMod_zsmul":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"Bitvec.toZMod_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"Bitvec.toZMod_val":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"Bitvec.toZMod_sub":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"Bitvec.toZMod_sbb":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"Bitvec.toZMod_one":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"Bitvec.toZMod_ofZMod":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"Bitvec.toZMod_nsmul":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"Bitvec.toZMod_neg":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"Bitvec.toZMod_add":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"Bitvec.toZMod":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"Bitvec.toNat_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"Bitvec.toNat_tail":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"Bitvec.toNat_one":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"Bitvec.toNat_add":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"Bitvec.toNat_adc_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"Bitvec.toNat_adc":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"Bitvec.toList_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"Bitvec.toList_one":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"Bitvec.toList_cong":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"Bitvec.toInt_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"Bitvec.toInt_sub_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"Bitvec.toInt_one":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"Bitvec.toInt_neg_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"Bitvec.toInt_injective":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"Bitvec.toInt_eq_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"Bitvec.toFun":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"Bitvec.toBool_ofBool":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"Bitvec.toBool":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"Bitvec.srem?":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"Bitvec.some_add?_eq_add":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"Bitvec.slt":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"Bitvec.sle":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"Bitvec.shl_ushr_eq_and_shl":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"Bitvec.sgt":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"Bitvec.sge":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"Bitvec.select":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"Bitvec.sdiv?":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by 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"},"Bind.kleisliLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L242-L243","name":"Bind.kleisliLeft","line":242,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.kleisliLeft","doc":"Right-to-left composition of Kleisli arrows. "},"Bind.bindLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L247-L248","name":"Bind.bindLeft","line":247,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.bindLeft","doc":"Same as `Bind.bind` but with arguments swapped. "},"Bind.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2662-L2662","name":"Bind.bind","line":2662,"kind":"def","docLink":"./Init/Prelude.html#Bind.bind","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"Bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2659-L2662","name":"Bind","line":2659,"kind":"class","docLink":"./Init/Prelude.html#Bind","doc":"The typeclass which supplies the `>>=` \"bind\" function. See `Monad`. "},"BaseType.toType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"BaseType.tensor2d":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"BaseType.ix":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"BaseType.int":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"BaseType":{"sourceLink":"https://github.com/bollu/ssa/blob/a23e2b9e94829d17c4ea5e27228e83e17df72bae/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"BaseIO.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L68-L69","name":"BaseIO.toIO","line":68,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toIO","doc":""},"BaseIO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L47-L49","name":"BaseIO.toEIO","line":47,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toEIO","doc":""},"BaseIO.mapTasks.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L131-L134","name":"BaseIO.mapTasks.go","line":131,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks.go","doc":""},"BaseIO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L128-L134","name":"BaseIO.mapTasks","line":128,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks","doc":""},"BaseIO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L120-L121","name":"BaseIO.mapTask","line":120,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.mapTask","doc":"See `BaseIO.asTask`. "},"BaseIO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L125-L126","name":"BaseIO.bindTask","line":125,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.bindTask","doc":"See `BaseIO.asTask`. "},"BaseIO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L115-L116","name":"BaseIO.asTask","line":115,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.asTask","doc":"Run `act` in a separate `Task`.\nThis is similar to Haskell's [`unsafeInterleaveIO`](http://hackage.haskell.org/package/base-4.14.0.0/docs/System-IO-Unsafe.html#v:unsafeInterleaveIO),\nexcept that the `Task` is started eagerly as usual. Thus pure accesses to the `Task` do not influence the impure `act`\ncomputation.\nUnlike with pure tasks created by `Task.spawn`, tasks created by this function will be run even if the last reference\nto the task is dropped. The `act` should manually check for cancellation via `IO.checkCanceled` if it wants to react\nto that. "},"BaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L41-L41","name":"BaseIO","line":41,"kind":"def","docLink":"./Init/System/IO.html#BaseIO","doc":"An `EIO` monad that cannot throw exceptions. "},"BEq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L889-L889","name":"BEq.mk","line":889,"kind":"ctor","docLink":"./Init/Prelude.html#BEq.mk","doc":""},"BEq.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L891-L891","name":"BEq.beq","line":891,"kind":"def","docLink":"./Init/Prelude.html#BEq.beq","doc":"Boolean equality, notated as `a == b`. "},"BEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L889-L891","name":"BEq","line":889,"kind":"class","docLink":"./Init/Prelude.html#BEq","doc":"`BEq α` is a typeclass for supplying a boolean-valued equality relation on\n`α`, notated as `a == b`. Unlike `DecidableEq α` (which uses `a = b`), this\nis `Bool` valued instead of `Prop` valued, and it also does not have any\naxioms like being reflexive or agreeing with `=`. It is mainly intended for\nprogramming applications. See `LawfulBEq` for a version that requires that\n`==` and `=` coincide.\n"},"Array.«term__[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L154-L154","name":"Array.«term__[_:_]»","line":154,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:_]»","doc":""},"Array.«term__[_:]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L155-L155","name":"Array.«term__[_:]»","line":155,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:]»","doc":""},"Array.«term__[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L156-L156","name":"Array.«term__[:_]»","line":156,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[:_]»","doc":""},"Array.zipWithAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L804-L814","name":"Array.zipWithAux","line":804,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWithAux","doc":""},"Array.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L816-L817","name":"Array.zipWith","line":816,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWith","doc":""},"Array.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L819-L820","name":"Array.zip","line":819,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zip","doc":""},"Array.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L71-L72","name":"Array.uset","line":71,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uset","doc":"Low-level version of `fset` which is as fast as a C array fset.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fset` may be slightly slower than `uset`. "},"Array.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L822-L823","name":"Array.unzip","line":822,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.unzip","doc":""},"Array.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L41-L42","name":"Array.uget","line":41,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uget","doc":"Low-level version of `fget` which is as fast as a C array read.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fget` may be slightly slower than `uget`. "},"Array.toSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L134-L144","name":"Array.toSubarray","line":134,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.toSubarray","doc":""},"Array.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L383-L384","name":"Array.toPArray'","line":383,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#Array.toPArray'","doc":""},"Array.toListLitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L736-L738","name":"Array.toListLitAux","line":736,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toListLitAux","doc":""},"Array.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L471-L472","name":"Array.toList","line":471,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toList","doc":""},"Array.toArrayLit_eq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L764-L765","name":"Array.toArrayLit_eq.go","line":764,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.go","doc":""},"Array.toArrayLit_eq.getLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L761-L762","name":"Array.toArrayLit_eq.getLit_eq","line":761,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.getLit_eq","doc":""},"Array.toArrayLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L752-L765","name":"Array.toArrayLit_eq","line":752,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq","doc":""},"Array.toArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L740-L741","name":"Array.toArrayLit","line":740,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit","doc":""},"Array.toArrayAux_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L746-L747","name":"Array.toArrayAux_eq","line":746,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayAux_eq","doc":""},"Array.takeWhile.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L671-L679","name":"Array.takeWhile.go","line":671,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile.go","doc":""},"Array.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L670-L681","name":"Array.takeWhile","line":670,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile","doc":""},"Array.tacticArray_get_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L53-L56","name":"Array.tacticArray_get_dec","line":53,"kind":"def","docLink":"./Init/Data/Array/Mem.html#Array.tacticArray_get_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf arr[i] < sizeOf arr`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : Array T → T`. "},"Array.swapAt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L94-L99","name":"Array.swapAt!","line":94,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt!","doc":""},"Array.swapAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L88-L91","name":"Array.swapAt","line":88,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt","doc":""},"Array.swap!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L82-L86","name":"Array.swap!","line":82,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap!","doc":""},"Array.swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L75-L79","name":"Array.swap","line":75,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap","doc":""},"Array.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L825-L827","name":"Array.split","line":825,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.split","doc":""},"Array.size_swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L631-L633","name":"Array.size_swap","line":631,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_swap","doc":""},"Array.size_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L61-L62","name":"Array.size_set","line":61,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_set","doc":""},"Array.size_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L64-L65","name":"Array.size_push","line":64,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_push","doc":""},"Array.size_pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L635-L638","name":"Array.size_pop","line":635,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_pop","doc":""},"Array.size_mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L24-L25","name":"Array.size_mkArray","line":24,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_mkArray","doc":""},"Array.sizeOf_lt_of_mem.aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L34-L40","name":"Array.sizeOf_lt_of_mem.aux","line":34,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem.aux","doc":""},"Array.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L32-L42","name":"Array.sizeOf_lt_of_mem","line":32,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem","doc":""},"Array.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L26-L30","name":"Array.sizeOf_get_lt","line":26,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get_lt","doc":""},"Array.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L44-L48","name":"Array.sizeOf_get","line":44,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get","doc":""},"Array.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2516-L2517","name":"Array.size","line":2516,"kind":"def","docLink":"./Init/Prelude.html#Array.size","doc":"Get the size of an array. This is a cached value, so it is O(1) to access. "},"Array.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L34-L35","name":"Array.singleton","line":34,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.singleton","doc":""},"Array.shrink.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L107-L109","name":"Array.shrink.loop","line":107,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink.loop","doc":""},"Array.shrink":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L106-L110","name":"Array.shrink","line":106,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink","doc":""},"Array.setD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2596-L2597","name":"Array.setD","line":2596,"kind":"def","docLink":"./Init/Prelude.html#Array.setD","doc":"Set an element in an array, or do nothing if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2606-L2607","name":"Array.set!","line":2606,"kind":"def","docLink":"./Init/Prelude.html#Array.set!","doc":"Set an element in an array, or panic if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2587-L2588","name":"Array.set","line":2587,"kind":"def","docLink":"./Init/Prelude.html#Array.set","doc":"Set an element in an array without bounds checks, using a `Fin` index.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.sequenceMap.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2767-L2773","name":"Array.sequenceMap.loop","line":2767,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap.loop","doc":""},"Array.sequenceMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2766-L2774","name":"Array.sequenceMap","line":2766,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap","doc":"A fusion of Haskell's `sequence` and `map`. Used in syntax quotations. "},"Array.reverse.termination":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L640-L642","name":"Array.reverse.termination","line":640,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.reverse.termination","doc":""},"Array.reverse.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L650-L657","name":"Array.reverse.loop","line":650,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse.loop","doc":""},"Array.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L644-L658","name":"Array.reverse","line":644,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse","doc":""},"Array.qsort.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L33-L43","name":"Array.qsort.sort","line":33,"kind":"opaque","docLink":"./Init/Data/Array/QSort.html#Array.qsort.sort","doc":""},"Array.qsort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L32-L44","name":"Array.qsort","line":32,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qsort","doc":""},"Array.qpartition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L19-L28","name":"Array.qpartition.loop","line":19,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition.loop","doc":""},"Array.qpartition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L12-L30","name":"Array.qpartition","line":12,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition","doc":""},"Array.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2541-L2542","name":"Array.push","line":2541,"kind":"def","docLink":"./Init/Prelude.html#Array.push","doc":"Push an element onto the end of an array. This is amortized O(1) because\n`Array α` is internally a dynamic array.\n"},"Array.popWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L660-L668","name":"Array.popWhile","line":660,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.popWhile","doc":""},"Array.pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L102-L104","name":"Array.pop","line":102,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.pop","doc":""},"Array.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L564-L572","name":"Array.partition","line":564,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.partition","doc":""},"Array.of_push_eq_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L11-L15","name":"Array.of_push_eq_push","line":11,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#Array.of_push_eq_push","doc":""},"Array.ofSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L146-L150","name":"Array.ofSubarray","line":146,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.ofSubarray","doc":""},"Array.modifyOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L141-L142","name":"Array.modifyOp","line":141,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyOp","doc":""},"Array.modifyMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L113-L124","name":"Array.modifyMUnsafe","line":113,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyMUnsafe","doc":""},"Array.modifyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L127-L134","name":"Array.modifyM","line":127,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyM","doc":""},"Array.modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L137-L138","name":"Array.modify","line":137,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modify","doc":""},"Array.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2508-L2509","name":"Array.mkEmpty","line":2508,"kind":"def","docLink":"./Init/Prelude.html#Array.mkEmpty","doc":"Construct a new empty array with initial capacity `c`. "},"Array.mkArray8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2577-L2578","name":"Array.mkArray8","line":2577,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray8","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈]` "},"Array.mkArray7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2573-L2574","name":"Array.mkArray7","line":2573,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray7","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇]` "},"Array.mkArray6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2569-L2570","name":"Array.mkArray6","line":2569,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray6","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆]` "},"Array.mkArray5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2565-L2566","name":"Array.mkArray5","line":2565,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray5","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅]` "},"Array.mkArray4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2561-L2562","name":"Array.mkArray4","line":2561,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray4","doc":"Create array `#[a₁, a₂, a₃, a₄]` "},"Array.mkArray3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2557-L2558","name":"Array.mkArray3","line":2557,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray3","doc":"Create array `#[a₁, a₂, a₃]` "},"Array.mkArray2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2553-L2554","name":"Array.mkArray2","line":2553,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray2","doc":"Create array `#[a₁, a₂]` "},"Array.mkArray1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2549-L2550","name":"Array.mkArray1","line":2549,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray1","doc":"Create array `#[a₁]` "},"Array.mkArray0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2545-L2546","name":"Array.mkArray0","line":2545,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray0","doc":"Create array `#[]` "},"Array.mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L20-L22","name":"Array.mkArray","line":20,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mkArray","doc":""},"Array.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2498-L2498","name":"Array.mk","line":2498,"kind":"ctor","docLink":"./Init/Prelude.html#Array.mk","doc":"Convert a `List α` into an `Array α`. This function is overridden\nto `List.toArray` and is O(n) in the length of the list. "},"Array.mapSepElemsM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1087-L1088","name":"Array.mapSepElemsM","line":1087,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElemsM","doc":""},"Array.mapSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1090-L1091","name":"Array.mapSepElems","line":1090,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElems","doc":""},"Array.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L70-L71","name":"Array.mapMonoM","line":70,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMonoM","doc":"Monomorphic `Array.mapM`. The internal implementation uses pointer equality, and does not allocate a new array\nif the result of each `f a` is a pointer equal value `a`.\n"},"Array.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L73-L74","name":"Array.mapMono","line":73,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMono","doc":""},"Array.mapMUnsafe.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L256-L266","name":"Array.mapMUnsafe.map","line":256,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe.map","doc":""},"Array.mapMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L254-L267","name":"Array.mapMUnsafe","line":254,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.mapM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L274-L278","name":"Array.mapM.map","line":274,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM.map","doc":""},"Array.mapM'.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L43-L49","name":"Array.mapM'.go","line":43,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'.go","doc":""},"Array.mapM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L40-L50","name":"Array.mapM'","line":40,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'","doc":""},"Array.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L271-L280","name":"Array.mapM","line":271,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM","doc":"Reference implementation for `mapM` 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Panics if `i` is not `i ≤ as.size`. "},"Array.insertAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L717-L728","name":"Array.insertAt","line":717,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.insertAt","doc":"Insert element `a` at position `i`. "},"Array.indexOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L620-L626","name":"Array.indexOfAux","line":620,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.indexOfAux","doc":""},"Array.indexOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L628-L629","name":"Array.indexOf?","line":628,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.indexOf?","doc":""},"Array.getSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1048-L1048","name":"Array.getSepElems","line":1048,"kind":"def","docLink":"./Init/Meta.html#Array.getSepElems","doc":""},"Array.getMax?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L555-L561","name":"Array.getMax?","line":555,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getMax?","doc":""},"Array.getLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L57-L59","name":"Array.getLit","line":57,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getLit","doc":""},"Array.getIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L446-L447","name":"Array.getIdx?","line":446,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getIdx?","doc":""},"Array.getEvenElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L463-L468","name":"Array.getEvenElems","line":463,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getEvenElems","doc":""},"Array.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2525-L2526","name":"Array.getD","line":2525,"kind":"def","docLink":"./Init/Prelude.html#Array.getD","doc":"Access an element from an array, or return `v₀` if the index is out of bounds. "},"Array.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L50-L51","name":"Array.get?","line":50,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.get?","doc":""},"Array.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2530-L2531","name":"Array.get!","line":2530,"kind":"def","docLink":"./Init/Prelude.html#Array.get!","doc":"Access an element from an array, or panic if the index is out of bounds. "},"Array.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2521-L2522","name":"Array.get","line":2521,"kind":"def","docLink":"./Init/Prelude.html#Array.get","doc":"Access an element from an array without bounds checks, using a `Fin` index. "},"Array.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L384-L385","name":"Array.forRevM","line":384,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forRevM","doc":""},"Array.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L380-L381","name":"Array.forM","line":380,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forM","doc":""},"Array.forInUnsafe.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L150-L157","name":"Array.forInUnsafe.loop","line":150,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forInUnsafe.loop","doc":""},"Array.forInUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L148-L158","name":"Array.forInUnsafe","line":148,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forInUnsafe","doc":"We claim this unsafe implementation is correct because an array cannot have more than `usizeSz` elements in our runtime.\n\nThis kind of low level trick can be removed with a little bit of compiler support. For example, if the compiler simplifies `as.size < usizeSz` to true. "},"Array.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L163-L172","name":"Array.forIn.loop","line":163,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forIn.loop","doc":""},"Array.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L162-L173","name":"Array.forIn","line":162,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forIn","doc":"Reference implementation for `forIn` "},"Array.foldrMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L216-L220","name":"Array.foldrMUnsafe.fold","line":216,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrMUnsafe.fold","doc":""},"Array.foldrMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L215-L229","name":"Array.foldrMUnsafe","line":215,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.foldrM.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L234-L241","name":"Array.foldrM.fold","line":234,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrM.fold","doc":""},"Array.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L233-L250","name":"Array.foldrM","line":233,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrM","doc":"Reference implementation for `foldrM` 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"},"AndOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1332-L1334","name":"AndOp","line":1332,"kind":"class","docLink":"./Init/Prelude.html#AndOp","doc":"The homogeneous version of `HAnd`: `a &&& b : α` where `a b : α`.\n(It is called `AndOp` because `And` is taken for the propositional connective.)\n"},"And.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L507-L507","name":"And.right","line":507,"kind":"def","docLink":"./Init/Prelude.html#And.right","doc":"Extract the right conjunct from a conjunction. `h : a ∧ b` then\n`h.right`, also notated as `h.2`, is a proof of `b`. "},"And.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L504-L504","name":"And.left","line":504,"kind":"def","docLink":"./Init/Prelude.html#And.left","doc":"Extract the left conjunct from a conjunction. `h : a ∧ b` then\n`h.left`, also notated as `h.1`, is a proof of `a`. "},"And.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L501-L501","name":"And.intro","line":501,"kind":"ctor","docLink":"./Init/Prelude.html#And.intro","doc":"`And.intro : a → b → a ∧ b` is the constructor for the And operation. "},"And.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L680-L681","name":"And.comm","line":680,"kind":"theorem","docLink":"./Init/Core.html#And.comm","doc":""},"And":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L499-L507","name":"And","line":499,"kind":"structure","docLink":"./Init/Prelude.html#And","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"Alternative.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L25-L25","name":"Alternative.orElse","line":25,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.orElse","doc":""},"Alternative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L23-L23","name":"Alternative.mk","line":23,"kind":"ctor","docLink":"./Init/Control/Basic.html#Alternative.mk","doc":""},"Alternative.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L24-L24","name":"Alternative.failure","line":24,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.failure","doc":""},"Alternative":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L23-L25","name":"Alternative","line":23,"kind":"class","docLink":"./Init/Control/Basic.html#Alternative","doc":""},"Add.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1263-L1263","name":"Add.mk","line":1263,"kind":"ctor","docLink":"./Init/Prelude.html#Add.mk","doc":""},"Add.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1265-L1265","name":"Add.add","line":1265,"kind":"def","docLink":"./Init/Prelude.html#Add.add","doc":"`a + b` computes the sum of `a` and `b`. See `HAdd`. "},"Add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1263-L1265","name":"Add","line":1263,"kind":"class","docLink":"./Init/Prelude.html#Add","doc":"The homogeneous version of `HAdd`: `a + b : α` where `a b : α`. 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"},"«term_≤_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L304-L304","name":"«term_≤_»","line":304,"kind":"def","docLink":"./Init/Notation.html#«term_≤_»","doc":"The less-equal relation: `x ≤ y` "},"«term_≠_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L563-L563","name":"«term_≠_»","line":563,"kind":"def","docLink":"./Init/Core.html#«term_≠_»","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"«term_≈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L343-L343","name":"«term_≈_»","line":343,"kind":"def","docLink":"./Init/Core.html#«term_≈_»","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"«term_∨_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L329-L329","name":"«term_∨_»","line":329,"kind":"def","docLink":"./Init/Notation.html#«term_∨_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_∧_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L327-L327","name":"«term_∧_»","line":327,"kind":"def","docLink":"./Init/Notation.html#«term_∧_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_∘_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L268-L268","name":"«term_∘_»","line":268,"kind":"def","docLink":"./Init/Notation.html#«term_∘_»","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"«term_∉_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L337-L338","name":"«term_∉_»","line":337,"kind":"def","docLink":"./Init/Notation.html#«term_∉_»","doc":"`a ∉ b` is negated elementhood. It is notation for `¬ (a ∈ b)`. "},"«term_∈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L336-L336","name":"«term_∈_»","line":336,"kind":"def","docLink":"./Init/Notation.html#«term_∈_»","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"«term_↔_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L95-L95","name":"«term_↔_»","line":95,"kind":"def","docLink":"./Init/Core.html#«term_↔_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_×_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L269-L269","name":"«term_×_»","line":269,"kind":"def","docLink":"./Init/Notation.html#«term_×_»","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"«term_×__1»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L87-L87","name":"«term_×__1»","line":87,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×__1»","doc":""},"«term_×'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L88-L88","name":"«term_×'_»","line":88,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×'_»","doc":""},"«term_|||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L271-L271","name":"«term_|||_»","line":271,"kind":"def","docLink":"./Init/Notation.html#«term_|||_»","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L333-L333","name":"«term_||_»","line":333,"kind":"def","docLink":"./Init/Notation.html#«term_||_»","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"«term_|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L428-L432","name":"«term_|>_»","line":428,"kind":"def","docLink":"./Init/Notation.html#«term_|>_»","doc":"Haskell-like pipe operator `|>`. `x |> f` means the same as the same as `f x`,\nand it chains such that `x |> f |> g` is interpreted as `g (f x)`.\n"},"«term__[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L834-L835","name":"«term__[_]»","line":834,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term__[_]_?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L86-L86","name":"«term__[_]_?»","line":86,"kind":"def","docLink":"./Init/Util.html#«term__[_]_?»","doc":""},"«term__[_]_!»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L87-L87","name":"«term__[_]_!»","line":87,"kind":"def","docLink":"./Init/Util.html#«term__[_]_!»","doc":""},"«term__[_]'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L838-L839","name":"«term__[_]'_»","line":838,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]'_»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term_^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L281-L281","name":"«term_^_»","line":281,"kind":"def","docLink":"./Init/Notation.html#«term_^_»","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"«term_^^^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L272-L272","name":"«term_^^^_»","line":272,"kind":"def","docLink":"./Init/Notation.html#«term_^^^_»","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_\\/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L328-L328","name":"«term_\\/_»","line":328,"kind":"def","docLink":"./Init/Notation.html#«term_\\/_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L308-L308","name":"«term_>_»","line":308,"kind":"def","docLink":"./Init/Notation.html#«term_>_»","doc":"`a > b` is an abbreviation for `b < a`. "},"«term_>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L342-L342","name":"«term_>>_»","line":342,"kind":"def","docLink":"./Init/Notation.html#«term_>>_»","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_>>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L280-L280","name":"«term_>>>_»","line":280,"kind":"def","docLink":"./Init/Notation.html#«term_>>>_»","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"«term_>>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L343-L343","name":"«term_>>=_»","line":343,"kind":"def","docLink":"./Init/Notation.html#«term_>>=_»","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"«term_>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L306-L306","name":"«term_>=_»","line":306,"kind":"def","docLink":"./Init/Notation.html#«term_>=_»","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"«term_>=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L252-L252","name":"«term_>=>_»","line":252,"kind":"def","docLink":"./Init/Control/Basic.html#«term_>=>_»","doc":"Left-to-right composition of Kleisli arrows. "},"«term_=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L309-L309","name":"«term_=_»","line":309,"kind":"def","docLink":"./Init/Notation.html#«term_=_»","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"«term_==_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L310-L310","name":"«term_==_»","line":310,"kind":"def","docLink":"./Init/Notation.html#«term_==_»","doc":"Boolean equality, notated as `a == b`. "},"«term_=<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L254-L254","name":"«term_=<<_»","line":254,"kind":"def","docLink":"./Init/Control/Basic.html#«term_=<<_»","doc":"Same as `Bind.bind` but with arguments swapped. "},"«term_<||>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L58-L58","name":"«term_<||>_»","line":58,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<||>_»","doc":""},"«term_<|_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L417-L422","name":"«term_<|_»","line":417,"kind":"def","docLink":"./Init/Notation.html#«term_<|_»","doc":"Haskell-like pipe operator `<|`. `f <| x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f <| g <| x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L341-L341","name":"«term_<|>_»","line":341,"kind":"def","docLink":"./Init/Notation.html#«term_<|>_»","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L305-L305","name":"«term_<_»","line":305,"kind":"def","docLink":"./Init/Notation.html#«term_<_»","doc":"The less-than relation: `x < y` "},"«term_<=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L303-L303","name":"«term_<=_»","line":303,"kind":"def","docLink":"./Init/Notation.html#«term_<=_»","doc":"The less-equal relation: `x ≤ y` "},"«term_<=<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L253-L253","name":"«term_<=<_»","line":253,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<=<_»","doc":"Right-to-left composition of Kleisli arrows. "},"«term_<<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L279-L279","name":"«term_<<<_»","line":279,"kind":"def","docLink":"./Init/Notation.html#«term_<<<_»","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"«term_<->_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L94-L94","name":"«term_<->_»","line":94,"kind":"def","docLink":"./Init/Core.html#«term_<->_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_<*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L345-L345","name":"«term_<*_»","line":345,"kind":"def","docLink":"./Init/Notation.html#«term_<*_»","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_<*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L344-L344","name":"«term_<*>_»","line":344,"kind":"def","docLink":"./Init/Notation.html#«term_<*>_»","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"«term_<&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L15-L15","name":"«term_<&>_»","line":15,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&>_»","doc":""},"«term_<&&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L66-L66","name":"«term_<&&>_»","line":66,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&&>_»","doc":""},"«term_<$>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L347-L347","name":"«term_<$>_»","line":347,"kind":"def","docLink":"./Init/Notation.html#«term_<$>_»","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"«term_::_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L340-L340","name":"«term_::_»","line":340,"kind":"def","docLink":"./Init/Notation.html#«term_::_»","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"«term_/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L277-L277","name":"«term_/_»","line":277,"kind":"def","docLink":"./Init/Notation.html#«term_/_»","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"«term_/\\_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L326-L326","name":"«term_/\\_»","line":326,"kind":"def","docLink":"./Init/Notation.html#«term_/\\_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L275-L275","name":"«term_-_»","line":275,"kind":"def","docLink":"./Init/Notation.html#«term_-_»","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"«term_+_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L274-L274","name":"«term_+_»","line":274,"kind":"def","docLink":"./Init/Notation.html#«term_+_»","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_++_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L282-L282","name":"«term_++_»","line":282,"kind":"def","docLink":"./Init/Notation.html#«term_++_»","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"«term_*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L276-L276","name":"«term_*_»","line":276,"kind":"def","docLink":"./Init/Notation.html#«term_*_»","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L346-L346","name":"«term_*>_»","line":346,"kind":"def","docLink":"./Init/Notation.html#«term_*>_»","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L332-L332","name":"«term_&&_»","line":332,"kind":"def","docLink":"./Init/Notation.html#«term_&&_»","doc":"`and x y`, or `x && y`, is the boolean \"and\" operation (not to be confused\nwith `And : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is false then `y` is not evaluated.\n"},"«term_&&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L273-L273","name":"«term_&&&_»","line":273,"kind":"def","docLink":"./Init/Notation.html#«term_&&&_»","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_%_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L278-L278","name":"«term_%_»","line":278,"kind":"def","docLink":"./Init/Notation.html#«term_%_»","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"«term_$__»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L438-L444","name":"«term_$__»","line":438,"kind":"def","docLink":"./Init/Notation.html#«term_$__»","doc":"Alternative syntax for `<|`. `f $ x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f $ g $ x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_!=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L485-L485","name":"«term_!=_»","line":485,"kind":"def","docLink":"./Init/Core.html#«term_!=_»","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming applications.\n"},"«term[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L463-L474","name":"«term[_]»","line":463,"kind":"def","docLink":"./Init/Notation.html#«term[_]»","doc":"The syntax `[a, b, c]` is shorthand for `a :: b :: c :: []`, or\n`List.cons a (List.cons b (List.cons c List.nil))`. It allows conveniently constructing\nlist literals.\n\nFor lists of length at least 64, an alternative desugaring strategy is used\nwhich uses let bindings as intermediates as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\nNote that this changes the order of evaluation, although it should not be observable\nunless you use side effecting operations like `dbg_trace`.\n"},"«termExists_,_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L84-L84","name":"«termExists_,_»","line":84,"kind":"def","docLink":"./Init/NotationExtra.html#«termExists_,_»","doc":""},"«term-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L283-L283","name":"«term-_»","line":283,"kind":"def","docLink":"./Init/Notation.html#«term-_»","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"«term%[_|_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L476-L482","name":"«term%[_|_]»","line":476,"kind":"def","docLink":"./Init/Notation.html#«term%[_|_]»","doc":"Auxiliary syntax for implementing `[$elem,*]` list literal syntax.\nThe syntax `%[a,b,c|tail]` constructs a value equivalent to `a::b::c::tail`.\nIt uses binary partitioning to construct a tree of intermediate let bindings as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\n"},"«term#[_,]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L507-L507","name":"«term#[_,]»","line":507,"kind":"def","docLink":"./Init/Data/Array/Basic.html#«term#[_,]»","doc":""},"«stx_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L190-L205","name":"«stx_<|>_»","line":190,"kind":"def","docLink":"./Init/Notation.html#«stx_<|>_»","doc":"`p1 <|> p2` is shorthand for `orelse(p1, p2)`, and parses either `p1` or `p2`.\nIt does not backtrack, meaning that if `p1` consumes at least one token then\n`p2` will not be tried. Therefore, the parsers should all differ in their first\ntoken. The `atomic(p)` parser combinator can be used to locally backtrack a parser.\n(For full backtracking, consider using extensible syntax classes instead.)\n\nOn success, if the inner parser does not generate exactly one node, it will be\nautomatically wrapped in a `group` node, so the result will always be arity 1.\n\nThe `<|>` combinator does not generate a node of its own, and in particular\ndoes not tag the inner parsers to distinguish them, which can present a problem\nwhen reconstructing the parse. A well formed `<|>` parser should use disjoint\nnode kinds for `p1` and `p2`.\n"},"«stx_,+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L228-L228","name":"«stx_,+»","line":228,"kind":"def","docLink":"./Init/Notation.html#«stx_,+»","doc":"`p,+` is shorthand for `sepBy(p, \",\")`. It parses 1 or more occurrences of\n`p` separated by `,`, that is: `p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,+,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L248-L248","name":"«stx_,+,?»","line":248,"kind":"def","docLink":"./Init/Notation.html#«stx_,+,?»","doc":"`p,+,?` is shorthand for `sepBy1(p, \",\", allowTrailingSep)`.\nIt parses 1 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L220-L220","name":"«stx_,*»","line":220,"kind":"def","docLink":"./Init/Notation.html#«stx_,*»","doc":"`p,*` is shorthand for `sepBy(p, \",\")`. It parses 0 or more occurrences of\n`p` separated by `,`, that is: `empty | p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L238-L238","name":"«stx_,*,?»","line":238,"kind":"def","docLink":"./Init/Notation.html#«stx_,*,?»","doc":"`p,*,?` is shorthand for `sepBy(p, \",\", allowTrailingSep)`.\nIt parses 0 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `empty | p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L161-L167","name":"«stx_+»","line":161,"kind":"def","docLink":"./Init/Notation.html#«stx_+»","doc":"`p+` is shorthand for `many1(p)`. It uses parser `p` 1 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«stx_*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L169-L175","name":"«stx_*»","line":169,"kind":"def","docLink":"./Init/Notation.html#«stx_*»","doc":"`p*` is shorthand for `many(p)`. It uses parser `p` 0 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«prio(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L141-L141","name":"«prio(_)»","line":141,"kind":"def","docLink":"./Init/Notation.html#«prio(_)»","doc":"Parentheses are used for grouping priority expressions. "},"«prec(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L119-L119","name":"«prec(_)»","line":119,"kind":"def","docLink":"./Init/Notation.html#«prec(_)»","doc":"Parentheses are used for grouping precedence expressions. "},"«dsl_op2ConstTensor(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"«dsl_op2ConstIx(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"«dsl_op2ConstInt(_)»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"withTheReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3069-L3070","name":"withTheReader","line":3069,"kind":"def","docLink":"./Init/Prelude.html#withTheReader","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L89-L89","name":"withShareCommon","line":89,"kind":"def","docLink":"./Init/ShareCommon.html#withShareCommon","doc":""},"withPtrEqUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L60-L61","name":"withPtrEqUnsafe","line":60,"kind":"def","docLink":"./Init/Util.html#withPtrEqUnsafe","doc":""},"withPtrEqDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L67-L71","name":"withPtrEqDecEq","line":67,"kind":"def","docLink":"./Init/Util.html#withPtrEqDecEq","doc":"`withPtrEq` for `DecidableEq` "},"withPtrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L64-L64","name":"withPtrEq","line":64,"kind":"def","docLink":"./Init/Util.html#withPtrEq","doc":""},"withPtrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L49-L50","name":"withPtrAddrUnsafe","line":49,"kind":"def","docLink":"./Init/Util.html#withPtrAddrUnsafe","doc":""},"withPtrAddr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L74-L74","name":"withPtrAddr","line":74,"kind":"def","docLink":"./Init/Util.html#withPtrAddr","doc":""},"usize_size_gt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L287-L288","name":"usize_size_gt_zero","line":287,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#usize_size_gt_zero","doc":""},"usize_size_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1975-L1979","name":"usize_size_eq","line":1975,"kind":"theorem","docLink":"./Init/Prelude.html#usize_size_eq","doc":""},"unsafeIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L91-L92","name":"unsafeIO","line":91,"kind":"def","docLink":"./Init/System/IO.html#unsafeIO","doc":""},"unsafeEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L88-L89","name":"unsafeEIO","line":88,"kind":"def","docLink":"./Init/System/IO.html#unsafeEIO","doc":""},"unsafeCast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2412-L2413","name":"unsafeCast","line":2412,"kind":"def","docLink":"./Init/Prelude.html#unsafeCast","doc":"This function will cast a value of type `α` to type `β`, and is a no-op in the\ncompiler. This function is **extremely dangerous** because there is no guarantee\nthat types `α` and `β` have the same data representation, and this can lead to\nmemory unsafety. It is also logically unsound, since you could just cast\n`True` to `False`. For all those reasons this function is marked as `unsafe`.\n\nIt is implemented by lifting both `α` and `β` into a common universe, and then\nusing `cast (lcProof : ULift (PLift α) = ULift (PLift β))` to actually perform\nthe cast. All these operations are no-ops in the compiler.\n\nUsing this function correctly requires some knowledge of the data representation\nof the source and target types. Some general classes of casts which are safe in\nthe current runtime:\n\n* `Array α` to `Array β` where `α` and `β` have compatible representations,\n or more generally for other inductive types.\n* `Quot α r` and `α`.\n* `@Subtype α p` and `α`, or generally any structure containing only one\n non-`Prop` field of type `α`.\n* Casting `α` to/from `NonScalar` when `α` is a boxed generic type\n (i.e. a function that accepts an arbitrary type `α` and is not specialized to\n a scalar type like 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To resolve this, `ite` is marked as\n`@[macro_inline]`, which means that it is unfolded during code generation, and\nthe definition of the function uses `fun _ => t` and `fun _ => e` so this recovers\nthe expected \"lazy\" behavior of `if`: the `t` and `e` arguments delay evaluation\nuntil `c` is known.\n"},"termIfLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L392-L404","name":"termIfLet","line":392,"kind":"def","docLink":"./Init/Notation.html#termIfLet","doc":"`if let pat := d then t else e` is a shorthand syntax for:\n```\nmatch d with\n| pat => t\n| _ => e\n```\nIt matches `d` against the pattern `pat` and the bindings are available in `t`.\nIf the pattern does not match, it returns `e` instead.\n"},"termDepIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L371-L373","name":"termDepIfThenElse","line":371,"kind":"def","docLink":"./Init/Notation.html#termDepIfThenElse","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"term!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L334-L334","name":"term!_","line":334,"kind":"def","docLink":"./Init/Notation.html#term!_","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"tacticSimp_wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L12-L13","name":"tacticSimp_wf","line":12,"kind":"def","docLink":"./Init/WFTactics.html#tacticSimp_wf","doc":"Unfold definitions commonly used in well founded relation definitions.\nThis is primarily intended for internal use in `decreasing_tactic`. "},"tacticSimp_mlir":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"tacticSimp_alive":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"tacticPrint_goal_as_error":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"tacticGet_elem_tactic_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L804-L812","name":"tacticGet_elem_tactic_trivial","line":804,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic_trivial","doc":"`get_elem_tactic_trivial` is an extensible tactic automatically called\nby the notation `arr[i]` to prove any side conditions that arise when\nconstructing the term (e.g. the index is in bounds of the array).\nThe default behavior is to just try `trivial` (which handles the case\nwhere `i < arr.size` is in the context) and `simp_arith`\n(for doing linear arithmetic in the index).\n"},"tacticGet_elem_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L824-L832","name":"tacticGet_elem_tactic","line":824,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic","doc":"`get_elem_tactic` is the tactic automatically called by the notation `arr[i]`\nto prove any side conditions that arise when constructing the term\n(e.g. the index is in bounds of the array). It just delegates to\n`get_elem_tactic_trivial` and gives a diagnostic error message otherwise;\nusers are encouraged to extend `get_elem_tactic_trivial` instead of this tactic.\n"},"tacticFunext___":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L323-L336","name":"tacticFunext___","line":323,"kind":"def","docLink":"./Init/NotationExtra.html#tacticFunext___","doc":"Apply function extensionality and introduce new hypotheses.\nThe tactic `funext` will keep applying the `funext` lemma until the goal target is not reducible to\n```\n |- ((fun x => ...) = (fun x => ...))\n```\nThe variant `funext h₁ ... hₙ` applies `funext` `n` times, and uses the given identifiers to name the new hypotheses.\nPatterns can be used like in the `intro` tactic. Example, given a goal\n```\n |- ((fun x : Nat × Bool => ...) = (fun x => ...))\n```\n`funext (a, b)` applies `funext` once and performs pattern matching on the newly introduced pair.\n"},"tacticDecreasing_with_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L33-L44","name":"tacticDecreasing_with_","line":33,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_with_","doc":"Constructs a proof of decreasing along a well founded relation, by applying\nlexicographic order lemmas and using `ts` to solve the base case. If it fails,\nit prints a message to help the user diagnose an ill-founded recursive definition. "},"tacticDecreasing_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L15-L22","name":"tacticDecreasing_trivial","line":15,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_trivial","doc":"Extensible helper tactic for `decreasing_tactic`. This handles the \"base case\"\nreasoning after applying lexicographic order lemmas.\nIt can be extended by adding more macro definitions, e.g.\n```\nmacro_rules | `(tactic| decreasing_trivial) => `(tactic| linarith)\n```\n"},"tacticDecreasing_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WFTactics.lean#L52-L53","name":"tacticDecreasing_tactic","line":52,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_tactic","doc":"`decreasing_tactic` is called by default on well-founded recursions in order\nto synthesize a proof that recursive calls decrease along the selected\nwell founded relation. It can be locally overridden by using `decreasing_by tac`\non the recursive definition, and it can also be globally extended by adding\nmore definitions for `decreasing_tactic` (or `decreasing_trivial`,\nwhich this tactic calls). "},"tacticAlive_auto":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"subtypeCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L307-L308","name":"subtypeCoe","line":307,"kind":"instance","docLink":"./Init/Coe.html#subtypeCoe","doc":""},"stx_?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L177-L188","name":"stx_?","line":177,"kind":"def","docLink":"./Init/Notation.html#stx_?","doc":"`(p)?` is shorthand for `optional(p)`. It uses parser `p` 0 or 1 times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\n`p` is allowed to have arity n > 1 (in which case the node will have either 0 or n children),\nbut if it has arity 0 then the result will be ambiguous.\n\nBecause `?` is an identifier character, `ident?` will not work as intended.\nYou have to write either `ident ?` or `(ident)?` for it to parse as the `?` combinator\napplied to the `ident` parser.\n"},"stx!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L254-L254","name":"stx!_","line":254,"kind":"def","docLink":"./Init/Notation.html#stx!_","doc":"`!p` parses the negation of `p`. That is, it fails if `p` succeeds, and\notherwise parses nothing. It has arity 0.\n"},"strictOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L467-L467","name":"strictOr","line":467,"kind":"def","docLink":"./Init/Core.html#strictOr","doc":"`strictOr` is the same as `or`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `true`.\n"},"strictAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L473-L473","name":"strictAnd","line":473,"kind":"def","docLink":"./Init/Core.html#strictAnd","doc":"`strictAnd` is the same as `and`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `false`.\n"},"stdSplit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L57-L64","name":"stdSplit","line":57,"kind":"def","docLink":"./Init/Data/Random.html#stdSplit","doc":""},"stdRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L38-L38","name":"stdRange","line":38,"kind":"def","docLink":"./Init/Data/Random.html#stdRange","doc":""},"stdNext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L43-L55","name":"stdNext","line":43,"kind":"def","docLink":"./Init/Data/Random.html#stdNext","doc":""},"sorryAx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L641-L641","name":"sorryAx","line":641,"kind":"axiom","docLink":"./Init/Prelude.html#sorryAx","doc":"Auxiliary axiom used to implement `sorry`.\n\nThe `sorry` term/tactic expands to `sorryAx _ (synthetic := false)`. This is a\nproof of anything, which is intended for stubbing out incomplete parts of a\nproof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n\nThe `synthetic` flag is false when written explicitly by the user, but it is\nset to `true` when a tactic fails to prove a goal, or if there is a type error\nin the expression. A synthetic `sorry` acts like a regular one, except that it\nsuppresses follow-up errors in order to prevent one error from causing a cascade\nof other errors because the desired term was not constructed.\n"},"solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L380-L383","name":"solve","line":380,"kind":"def","docLink":"./Init/NotationExtra.html#solve","doc":"Similar to `first`, but succeeds only if one the given tactics solves the current goal.\n"},"sizeOf_thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L57-L58","name":"sizeOf_thunk","line":57,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_thunk","doc":""},"sizeOf_nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L52-L52","name":"sizeOf_nat","line":52,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_nat","doc":""},"sizeOf_default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L47-L47","name":"sizeOf_default","line":47,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_default","doc":""},"sizeOfWFRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L190-L191","name":"sizeOfWFRel","line":190,"kind":"def","docLink":"./Init/WF.html#sizeOfWFRel","doc":""},"shareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L91-L92","name":"shareCommonM","line":91,"kind":"def","docLink":"./Init/ShareCommon.html#shareCommonM","doc":""},"seq_eq_bind_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L65-L66","name":"seq_eq_bind_map","line":65,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind_map","doc":""},"seq_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L77-L78","name":"seq_eq_bind","line":77,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind","doc":""},"seqRight_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L80-L82","name":"seqRight_eq_bind","line":80,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqRight_eq_bind","doc":""},"seqLeft_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L84-L85","name":"seqLeft_eq_bind","line":84,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqLeft_eq_bind","doc":""},"semiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L618-L618","name":"semiOutParam","line":618,"kind":"def","docLink":"./Init/Prelude.html#semiOutParam","doc":"Gadget for marking semi output parameters in type classes.\n\nSemi-output parameters influence the order in which arguments to type class\ninstances are processed. Lean determines an order where all non-(semi-)output\nparameters to the instance argument have to be figured out before attempting to\nsynthesize an argument (that is, they do not contain assignable metavariables\ncreated during TC synthesis). This rules out instances such as `[Mul β] : Add\nα` (because `β` could be anything). Marking a parameter as semi-output is a\npromise that instances of the type class will always fill in a value for that\nparameter.\n\nFor example, the `Coe` class is defined as:\n```\nclass Coe (α : semiOutParam (Sort u)) (β : Sort v)\n```\nThis means that all `Coe` instances should provide a concrete value for `α`\n(i.e., not an assignable metavariable). An instance like `Coe Nat Int` or `Coe\nα (Option α)` is fine, but `Coe α Nat` is not since it does not provide a value\nfor `α`.\n"},"runST":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L32-L35","name":"runST","line":32,"kind":"def","docLink":"./Init/System/ST.html#runST","doc":""},"runEST":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L26-L29","name":"runEST","line":26,"kind":"def","docLink":"./Init/System/ST.html#runEST","doc":""},"rgnDom":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"rgnCod":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L281-L281","name":"rfl","line":281,"kind":"def","docLink":"./Init/Prelude.html#rfl","doc":"`rfl : a = a` is the unique constructor of the equality type. This is the\nsame as `Eq.refl` except that it takes `a` implicitly instead of explicitly.\n\nThis is a more powerful theorem than it may appear at first, because although\nthe statement of the theorem is `a = a`, lean will allow anything that is\ndefinitionally equal to that type. So, for instance, `2 + 2 = 4` is proven in\nlean by `rfl`, because both sides are the same up to definitional equality.\n"},"reprStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L24-L25","name":"reprStr","line":24,"kind":"def","docLink":"./Init/Data/Repr.html#reprStr","doc":""},"reprArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L27-L28","name":"reprArg","line":27,"kind":"def","docLink":"./Init/Data/Repr.html#reprArg","doc":""},"repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L21-L22","name":"repr","line":21,"kind":"def","docLink":"./Init/Data/Repr.html#repr","doc":""},"recSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L893-L902","name":"recSubsingleton","line":893,"kind":"theorem","docLink":"./Init/Core.html#recSubsingleton","doc":""},"readThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3033-L3034","name":"readThe","line":3033,"kind":"def","docLink":"./Init/Prelude.html#readThe","doc":"Like `read`, but with `ρ` explicit. This is useful if a monad supports\n`MonadReaderOf` for multiple different types `ρ`.\n"},"rawNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L256-L266","name":"rawNatLit","line":256,"kind":"def","docLink":"./Init/Notation.html#rawNatLit","doc":"The `nat_lit n` macro constructs \"raw numeric literals\". This corresponds to the\n`Expr.lit (.natVal n)` constructor in the `Expr` data type.\n\nNormally, when you write a numeral like `#check 37`, the parser turns this into\nan application of `OfNat.ofNat` to the raw literal `37` to cast it into the\ntarget type, even if this type is `Nat` (so the cast is the identity function).\nBut sometimes it is necessary to talk about the raw numeral directly,\nespecially when proving properties about the `ofNat` function itself.\n"},"randNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L93-L108","name":"randNat","line":93,"kind":"def","docLink":"./Init/Data/Random.html#randNat","doc":"Generate a random natural number in the interval [lo, hi]. "},"randBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L111-L113","name":"randBool","line":111,"kind":"def","docLink":"./Init/Data/Random.html#randBool","doc":"Generate a random Boolean. "},"pure_id_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L43-L44","name":"pure_id_seq","line":43,"kind":"theorem","docLink":"./Init/Control/Lawful.html#pure_id_seq","doc":""},"ptrEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L54-L57","name":"ptrEqList","line":54,"kind":"def","docLink":"./Init/Util.html#ptrEqList","doc":""},"ptrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L52-L52","name":"ptrEq","line":52,"kind":"def","docLink":"./Init/Util.html#ptrEq","doc":""},"ptrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L46-L46","name":"ptrAddrUnsafe","line":46,"kind":"opaque","docLink":"./Init/Util.html#ptrAddrUnsafe","doc":""},"propext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1142-L1142","name":"propext","line":1142,"kind":"axiom","docLink":"./Init/Core.html#propext","doc":"The axiom of **propositional extensionality**. It asserts that if propositions\n`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),\nthen `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all\ncontexts.\n\nFor simple expressions like `a ∧ c ∨ d → e` we can prove that because all the logical\nconnectives respect logical equivalence, we can replace `a` with `b` in this expression\nwithout using `propext`. However, for higher order expressions like `P a` where\n`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`\nwithout an axiom which says exactly this.\n\nThis is a relatively uncontroversial axiom, which is intuitionistically valid.\nIt does however block computation when using `#reduce` to reduce proofs directly\n(which is not recommended), meaning that canonicity,\nthe property that all closed terms of type `Nat` normalize to numerals,\nfails to hold when this (or any) axiom is used:\n```\nset_option pp.proofs true\n\ndef foo : Nat := by\n have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩\n have := propext this ▸ (2 : Nat)\n exact this\n\n#reduce foo\n-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2\n\n#eval foo -- 2\n```\n`#eval` can evaluate it to a numeral because the compiler erases casts and\ndoes not evaluate proofs, so `propext`, whose return type is a proposition,\ncan never block it.\n"},"proofIrrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L525-L525","name":"proofIrrel","line":525,"kind":"theorem","docLink":"./Init/Core.html#proofIrrel","doc":""},"prioMid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L137-L137","name":"prioMid","line":137,"kind":"def","docLink":"./Init/Notation.html#prioMid","doc":"The standardized \"medium\" priority `mid = 500`. This is lower than `default`, and higher than `low`.\n"},"prioLow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L133-L133","name":"prioLow","line":133,"kind":"def","docLink":"./Init/Notation.html#prioLow","doc":"The standardized \"low\" priority `low = 100`, for things that should be lower than default priority. "},"prioHigh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L139-L139","name":"prioHigh","line":139,"kind":"def","docLink":"./Init/Notation.html#prioHigh","doc":"The standardized \"high\" priority `high = 10000`, for things that should be higher than default priority. "},"prioDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L131-L131","name":"prioDefault","line":131,"kind":"def","docLink":"./Init/Notation.html#prioDefault","doc":"The default priority `default = 1000`, which is used when no priority is set. "},"precMin1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L123-L123","name":"precMin1","line":123,"kind":"def","docLink":"./Init/Notation.html#precMin1","doc":"`(min+1)` (we can only write `min+1` after `Meta.lean`) "},"precMin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L121-L121","name":"precMin","line":121,"kind":"def","docLink":"./Init/Notation.html#precMin","doc":"Minimum precedence used in term parsers. "},"precMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L113-L113","name":"precMax","line":113,"kind":"def","docLink":"./Init/Notation.html#precMax","doc":"Maximum precedence used in term parsers, in particular for terms in\nfunction position (`ident`, `paren`, ...)\n"},"precLead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L117-L117","name":"precLead","line":117,"kind":"def","docLink":"./Init/Notation.html#precLead","doc":"Precedence used for terms not supposed to be used as arguments (`let`, `have`, ...). "},"precArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L115-L115","name":"precArg","line":115,"kind":"def","docLink":"./Init/Notation.html#precArg","doc":"Precedence used for application arguments (`do`, `by`, ...). "},"panicWithPosWithDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L42-L43","name":"panicWithPosWithDecl","line":42,"kind":"def","docLink":"./Init/Util.html#panicWithPosWithDecl","doc":""},"panicWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L36-L37","name":"panicWithPos","line":36,"kind":"def","docLink":"./Init/Util.html#panicWithPos","doc":""},"panicCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2428-L2428","name":"panicCore","line":2428,"kind":"def","docLink":"./Init/Prelude.html#panicCore","doc":"Auxiliary definition for `panic`. "},"panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2442-L2443","name":"panic","line":2442,"kind":"def","docLink":"./Init/Prelude.html#panic","doc":"`(panic \"msg\" : α)` has a built-in implementation which prints `msg` to\nthe error buffer. It *does not* terminate execution, and because it is a safe\nfunction, it still has to return an element of `α`, so it takes `[Inhabited α]`\nand returns `default`. It is primarily intended for debugging in pure contexts,\nand assertion failures.\n\nBecause this is a pure function with side effects, it is marked as\n`@[never_extract]` so that the compiler will not perform common sub-expression\nelimination and other optimizations that assume that the expression is pure.\n"},"pairMapM":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"pairBind":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"outUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"outParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L595-L595","name":"outParam","line":595,"kind":"def","docLink":"./Init/Prelude.html#outParam","doc":"Gadget for marking output parameters in type classes.\n\nFor example, the `Membership` class is defined as:\n```\nclass Membership (α : outParam (Type u)) (γ : Type v)\n```\nThis means that whenever a typeclass goal of the form `Membership ?α ?γ` comes\nup, lean will wait to solve it until `?γ` is known, but then it will run\ntypeclass inference, and take the first solution it finds, for any value of `?α`,\nwhich thereby determines what `?α` should be.\n\nThis expresses that in a term like `a ∈ s`, `s` might be a `Set α` or\n`List α` or some other type with a membership operation, and in each case\nthe \"member\" type `α` is determined by looking at the container type.\n"},"or_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L88-L88","name":"or_true","line":88,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_true","doc":""},"or_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L87-L87","name":"or_self","line":87,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_self","doc":""},"or_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L90-L90","name":"or_false","line":90,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_false","doc":""},"orM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L52-L56","name":"orM","line":52,"kind":"def","docLink":"./Init/Control/Basic.html#orM","doc":""},"or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L982-L985","name":"or","line":982,"kind":"def","docLink":"./Init/Prelude.html#or","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not 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support.\n\nA binder like `(x : α := default)` in a declaration is syntax sugar for\n`x : optParam α default`, and triggers the elaborator to attempt to use\n`default` to supply the argument if it is not supplied.\n"},"of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L12-L12","name":"of_eq_true","line":12,"kind":"theorem","docLink":"./Init/SimpLemmas.html#of_eq_true","doc":""},"of_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L855-L858","name":"of_decide_eq_true","line":855,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_true","doc":""},"of_decide_eq_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L865-L868","name":"of_decide_eq_self_eq_true","line":865,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_self_eq_true","doc":""},"of_decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L860-L863","name":"of_decide_eq_false","line":860,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_false","doc":""},"ofBoolUsing_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L709-L710","name":"ofBoolUsing_eq_true","line":709,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_true","doc":""},"ofBoolUsing_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L712-L713","name":"ofBoolUsing_eq_false","line":712,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_false","doc":""},"observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L162-L163","name":"observing","line":162,"kind":"def","docLink":"./Init/Control/Except.html#observing","doc":""},"not_not_intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L521-L522","name":"not_not_intro","line":521,"kind":"theorem","docLink":"./Init/Core.html#not_not_intro","doc":""},"not_false_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L100-L100","name":"not_false_eq_true","line":100,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_false_eq_true","doc":""},"not_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L519-L519","name":"not_false","line":519,"kind":"theorem","docLink":"./Init/Core.html#not_false","doc":""},"not_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L141-L141","name":"not_decide_eq_true","line":141,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_decide_eq_true","doc":""},"notM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L68-L69","name":"notM","line":68,"kind":"def","docLink":"./Init/Control/Basic.html#notM","doc":""},"not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1002-L1004","name":"not","line":1002,"kind":"def","docLink":"./Init/Prelude.html#not","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"nonempty_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L854-L855","name":"nonempty_of_exists","line":854,"kind":"theorem","docLink":"./Init/Core.html#nonempty_of_exists","doc":""},"noConfusionTypeEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L834-L837","name":"noConfusionTypeEnum","line":834,"kind":"def","docLink":"./Init/Core.html#noConfusionTypeEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"noConfusionEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L840-L845","name":"noConfusionEnum","line":840,"kind":"def","docLink":"./Init/Core.html#noConfusionEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"ne_true_of_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L583-L586","name":"ne_true_of_not","line":583,"kind":"theorem","docLink":"./Init/Core.html#ne_true_of_not","doc":""},"ne_true_of_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L655-L657","name":"ne_true_of_eq_false","line":655,"kind":"theorem","docLink":"./Init/Prelude.html#ne_true_of_eq_false","doc":""},"ne_of_beq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L601-L602","name":"ne_of_beq_false","line":601,"kind":"theorem","docLink":"./Init/Core.html#ne_of_beq_false","doc":""},"ne_false_of_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L580-L581","name":"ne_false_of_self","line":580,"kind":"theorem","docLink":"./Init/Core.html#ne_false_of_self","doc":""},"ne_false_of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L651-L653","name":"ne_false_of_eq_true","line":651,"kind":"theorem","docLink":"./Init/Prelude.html#ne_false_of_eq_true","doc":""},"ne_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L76-L76","name":"ne_eq","line":76,"kind":"theorem","docLink":"./Init/SimpLemmas.html#ne_eq","doc":""},"namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L622-L622","name":"namedPattern","line":622,"kind":"def","docLink":"./Init/Prelude.html#namedPattern","doc":"Auxiliary declaration used to implement named patterns like `x@h:p`. "},"mt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L516-L517","name":"mt","line":516,"kind":"theorem","docLink":"./Init/Core.html#mt","doc":""},"monadLift_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L13-L14","name":"monadLift_self","line":13,"kind":"theorem","docLink":"./Init/Control/Lawful.html#monadLift_self","doc":""},"monadFunctorRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2837-L2838","name":"monadFunctorRefl","line":2837,"kind":"instance","docLink":"./Init/Prelude.html#monadFunctorRefl","doc":""},"modifyThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3122-L3123","name":"modifyThe","line":3122,"kind":"def","docLink":"./Init/Prelude.html#modifyThe","doc":"Like `modify`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modifyGetThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3130-L3131","name":"modifyGetThe","line":3130,"kind":"def","docLink":"./Init/Prelude.html#modifyGetThe","doc":"Like `modifyGet`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3161-L3162","name":"modify","line":3161,"kind":"def","docLink":"./Init/Prelude.html#modify","doc":"`modify (f : σ → σ)` applies the function `f` to the state.\n\nIt is equivalent to `do put (f (← get))`, but `modify f` may be preferable\nbecause the former does not use the state linearly (without sufficient inlining).\n"},"mkStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L73-L77","name":"mkStdGen","line":73,"kind":"def","docLink":"./Init/Data/Random.html#mkStdGen","doc":"Return a standard number generator. 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This can make a\ndifference for typeclass inference, since `T` and `T'` may have different\ntypeclass instances on them. `show T' from e` is sugar for an `@id T' e`\nexpression.\n"},"hexDigitRepr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L177-L178","name":"hexDigitRepr","line":177,"kind":"def","docLink":"./Init/Data/Repr.html#hexDigitRepr","doc":""},"heq_of_heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L633-L634","name":"heq_of_heq_of_eq","line":633,"kind":"theorem","docLink":"./Init/Core.html#heq_of_heq_of_eq","doc":""},"heq_of_eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L636-L637","name":"heq_of_eq_of_heq","line":636,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq_of_heq","doc":""},"heq_of_eqRec_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L647-L650","name":"heq_of_eqRec_eq","line":647,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eqRec_eq","doc":""},"heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L627-L628","name":"heq_of_eq","line":627,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq","doc":""},"heq_eq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L143-L143","name":"heq_eq_eq","line":143,"kind":"theorem","docLink":"./Init/SimpLemmas.html#heq_eq_eq","doc":""},"hash64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Hashable.lean#L63-L64","name":"hash64","line":63,"kind":"def","docLink":"./Init/Data/Hashable.html#hash64","doc":"An opaque (low-level) hash operation used to implement hashing for pointers. "},"guard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L33-L34","name":"guard","line":33,"kind":"def","docLink":"./Init/Control/Basic.html#guard","doc":""},"getThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3114-L3115","name":"getThe","line":3114,"kind":"def","docLink":"./Init/Prelude.html#getThe","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"getModify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3169-L3170","name":"getModify","line":3169,"kind":"def","docLink":"./Init/Prelude.html#getModify","doc":"`getModify f` gets the state, applies function `f`, and returns the old value\nof the state. It is equivalent to `get <* modify f` but may be more efficient.\n"},"getElem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L83-L84","name":"getElem?","line":83,"kind":"def","docLink":"./Init/Util.html#getElem?","doc":""},"getElem!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L80-L81","name":"getElem!","line":80,"kind":"def","docLink":"./Init/Util.html#getElem!","doc":""},"funext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1555-L1563","name":"funext","line":1555,"kind":"theorem","docLink":"./Init/Core.html#funext","doc":"**Function extensionality** is the statement that if two functions take equal values\nevery point, then the functions themselves are equal: `(∀ x, f x = g x) → f = g`.\nIt is called \"extensionality\" because it talks about how to prove two objects are equal\nbased on the properties of the object (compare with set extensionality,\nwhich is `(∀ x, x ∈ s ↔ x ∈ t) → s = t`).\n\nThis is often an axiom in dependent type theory systems, because it cannot be proved\nfrom the core logic alone. However in lean's type theory this follows from the existence\nof quotient types (note the `Quot.sound` in the proof, as well as the `show` line\nwhich makes use of the definitional equality `Quot.lift f h (Quot.mk x) = f x`).\n"},"forall_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L41-L42","name":"forall_congr","line":41,"kind":"theorem","docLink":"./Init/SimpLemmas.html#forall_congr","doc":""},"floatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L20-L27","name":"floatSpec","line":20,"kind":"opaque","docLink":"./Init/Data/Float.html#floatSpec","doc":""},"floatDecLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L69-L69","name":"floatDecLt","line":69,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLt","doc":""},"floatDecLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L70-L70","name":"floatDecLe","line":70,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLe","doc":""},"flip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L28-L29","name":"flip","line":28,"kind":"def","docLink":"./Init/Core.html#flip","doc":"`flip f a b` is `f b a`. It is useful for \"point-free\" programming,\nsince it can sometimes be used to avoid introducing variables.\nFor example, `(·<·)` is the less-than relation,\nand `flip (·<·)` is the greater-than relation.\n"},"false_or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L91-L91","name":"false_or","line":91,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_or","doc":""},"false_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L578-L578","name":"false_of_ne","line":578,"kind":"theorem","docLink":"./Init/Core.html#false_of_ne","doc":""},"false_implies":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L97-L97","name":"false_implies","line":97,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_implies","doc":""},"false_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L96-L96","name":"false_iff","line":96,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_iff","doc":""},"false_and":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L86-L86","name":"false_and","line":86,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_and","doc":""},"example_macro_3_1":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"example_macro_3_0":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"example_macro_3":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"example_macro_2":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"example_macro_1":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"ex_of_PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1049-L1050","name":"ex_of_PSigma","line":1049,"kind":"theorem","docLink":"./Init/Core.html#ex_of_PSigma","doc":""},"eval":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"eq_true_of_ne_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L647-L649","name":"eq_true_of_ne_false","line":647,"kind":"theorem","docLink":"./Init/Prelude.html#eq_true_of_ne_false","doc":""},"eq_true_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L22-L23","name":"eq_true_of_decide","line":22,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true_of_decide","doc":""},"eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L14-L15","name":"eq_true","line":14,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true","doc":""},"eq_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L28-L28","name":"eq_self","line":28,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_self","doc":""},"eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L451-L455","name":"eq_of_heq","line":451,"kind":"theorem","docLink":"./Init/Prelude.html#eq_of_heq","doc":""},"eq_false_of_ne_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L643-L645","name":"eq_false_of_ne_true","line":643,"kind":"theorem","docLink":"./Init/Prelude.html#eq_false_of_ne_true","doc":""},"eq_false_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L25-L26","name":"eq_false_of_decide","line":25,"kind":"theorem","docLink":"./Init/SimpLem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empty relation is the relation on `α` which is always `False`. "},"dsl_op2Map2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"dsl_op2Fill2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"dsl_op2Extract2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"dite_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L79-L79","name":"dite_true","line":79,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_true","doc":""},"dite_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L80-L80","name":"dite_false","line":80,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_false","doc":""},"dite_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L66-L74","name":"dite_congr","line":66,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_congr","doc":""},"dite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L913-L914","name":"dite","line":913,"kind":"def","docLink":"./Init/Prelude.html#dite","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"dif_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L807-L810","name":"dif_pos","line":807,"kind":"theorem","docLink":"./Init/Core.html#dif_pos","doc":""},"dif_neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L812-L815","name":"dif_neg","line":812,"kind":"theorem","docLink":"./Init/Core.html#dif_neg","doc":""},"dif_eq_if":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L818-L821","name":"dif_eq_if","line":818,"kind":"theorem","docLink":"./Init/Core.html#dif_eq_if","doc":""},"default.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L41-L42","name":"default.sizeOf","line":41,"kind":"def","docLink":"./Init/SizeOf.html#default.sizeOf","doc":"Every type `α` has a default `SizeOf` instance that just returns `0`\nfor every element of `α`.\n"},"decide_true_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L692-L695","name":"decide_true_eq_true","line":692,"kind":"theorem","docLink":"./Init/Core.html#decide_true_eq_true","doc":""},"decide_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L140-L140","name":"decide_not","line":140,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_not","doc":""},"decide_false_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L697-L700","name":"decide_false_eq_false","line":697,"kind":"theorem","docLink":"./Init/Core.html#decide_false_eq_false","doc":""},"decide_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L139-L139","name":"decide_eq_true_eq","line":139,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_eq_true_eq","doc":""},"decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L847-L849","name":"decide_eq_true","line":847,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_true","doc":""},"decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L851-L853","name":"decide_eq_false","line":851,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_false","doc":""},"decide_True":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L158-L158","name":"decide_True","line":158,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_True","doc":""},"decide_False":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L157-L157","name":"decide_False","line":157,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_False","doc":""},"decidable_of_decidable_of_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L759-L763","name":"decidable_of_decidable_of_iff","line":759,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_iff","doc":"Transfer a decidability proof across an equivalence of propositions. "},"decidable_of_decidable_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L766-L767","name":"decidable_of_decidable_of_eq","line":766,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_eq","doc":"Transfer a decidability proof across an equality of propositions. "},"decPropToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L301-L302","name":"decPropToBool","line":301,"kind":"instance","docLink":"./Init/Coe.html#decPropToBool","doc":""},"decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L843-L844","name":"decEq","line":843,"kind":"def","docLink":"./Init/Prelude.html#decEq","doc":"Proves that `a = b` is decidable given `DecidableEq α`. "},"dbgTraceVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L18-L19","name":"dbgTraceVal","line":18,"kind":"def","docLink":"./Init/Util.html#dbgTraceVal","doc":""},"dbgTraceIfShared":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L24-L24","name":"dbgTraceIfShared","line":24,"kind":"def","docLink":"./Init/Util.html#dbgTraceIfShared","doc":"Display the given message if `a` is shared, that is, RC(a) > 1 "},"dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L16-L16","name":"dbgTrace","line":16,"kind":"def","docLink":"./Init/Util.html#dbgTrace","doc":""},"dbgStackTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L28-L28","name":"dbgStackTrace","line":28,"kind":"def","docLink":"./Init/Util.html#dbgStackTrace","doc":"Print stack trace to stderr before evaluating given closure. Currently supported on Linux only. "},"dbgSleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Util.lean#L31-L31","name":"dbgSleep","line":31,"kind":"def","docLink":"./Init/Util.html#dbgSleep","doc":""},"controlAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L214-L216","name":"controlAt","line":214,"kind":"def","docLink":"./Init/Control/Basic.html#controlAt","doc":""},"control":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L219-L221","name":"control","line":219,"kind":"def","docLink":"./Init/Control/Basic.html#control","doc":""},"const":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"congrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L363-L364","name":"congrFun","line":363,"kind":"theorem","docLink":"./Init/Prelude.html#congrFun","doc":"Congruence in the function part of an application: If `f = g` then `f a = g a`. "},"congrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L349-L350","name":"congrArg","line":349,"kind":"theorem","docLink":"./Init/Prelude.html#congrArg","doc":"Congruence in the function argument: if `a₁ = a₂` then `f a₁ = f a₂` for\nany (nondependent) function `f`. This is more powerful than it might look at first, because\nyou can also use a lambda expression for `f` to prove that\n` = `. This function is used\ninternally by tactics like `congr` and `simp` to apply equalities inside\nsubterms.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L359-L360","name":"congr","line":359,"kind":"theorem","docLink":"./Init/Prelude.html#congr","doc":"Congruence in both function and argument. If `f₁ = f₂` and `a₁ = a₂` then\n`f₁ a₁ = f₂ a₂`. This only works for nondependent functions; the theorem\nstatement is more complex in the dependent case.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"cond_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L145-L145","name":"cond_true","line":145,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_true","doc":""},"cond_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L146-L146","name":"cond_false","line":146,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_false","doc":""},"cond":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L971-L974","name":"cond","line":971,"kind":"def","docLink":"./Init/Prelude.html#cond","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"compareOfLessAndEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L21-L24","name":"compareOfLessAndEq","line":21,"kind":"def","docLink":"./Init/Data/Ord.html#compareOfLessAndEq","doc":""},"coeNotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L284-L291","name":"coeNotation","line":284,"kind":"def","docLink":"./Init/Coe.html#coeNotation","doc":"`↑x` represents a coercion, which converts `x` of type `α` to type `β`, using\ntypeclasses to resolve a suitable conversion function. You can often leave the\n`↑` off entirely, since coercion is triggered implicitly whenever there is a\ntype error, but in ambiguous cases it can be useful to use `↑` to disambiguate\nbetween e.g. `↑x + ↑y` and `↑(x + y)`.\n"},"cdotTk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L376-L376","name":"cdotTk","line":376,"kind":"def","docLink":"./Init/NotationExtra.html#cdotTk","doc":""},"cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L377-L378","name":"cdot","line":377,"kind":"def","docLink":"./Init/NotationExtra.html#cdot","doc":"`· tac` focuses on the main goal and tries to solve it using `tac`, or else fails. "},"cast_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L652-L653","name":"cast_heq","line":652,"kind":"theorem","docLink":"./Init/Core.html#cast_heq","doc":""},"cast_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L553-L554","name":"cast_eq","line":553,"kind":"theorem","docLink":"./Init/Core.html#cast_eq","doc":""},"cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L336-L337","name":"cast","line":336,"kind":"def","docLink":"./Init/Prelude.html#cast","doc":"Cast across a type equality. If `h : α = β` is an equality of types, and\n`a : α`, then `a : β` will usually not typecheck directly, but this function\nwill allow you to work around this and embed `a` in type `β` as `cast h a : β`.\n\nIt is best to avoid this function if you can, because it is more complicated\nto reason about terms containing casts, but if the types don't match up\ndefinitionally sometimes there isn't anything better you can do.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"calcTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L134-L171","name":"calcTactic","line":134,"kind":"def","docLink":"./Init/NotationExtra.html#calcTactic","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the tactic mode variant,\nwhich supports an additional feature: it works even if the goal is `a = z'`\nfor some other `z'`; in this case it will not close the goal but will instead\nleave a subgoal proving `z = z'`.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"calcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L95-L95","name":"calcSteps","line":95,"kind":"def","docLink":"./Init/NotationExtra.html#calcSteps","doc":""},"calcStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L94-L94","name":"calcStep","line":94,"kind":"def","docLink":"./Init/NotationExtra.html#calcStep","doc":""},"calcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L92-L92","name":"calcFirstStep","line":92,"kind":"def","docLink":"./Init/NotationExtra.html#calcFirstStep","doc":""},"calc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/NotationExtra.lean#L97-L132","name":"calc","line":97,"kind":"def","docLink":"./Init/NotationExtra.html#calc","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols, especially on longer:\nidentifiers:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the term mode variant.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"boolToSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L298-L299","name":"boolToSort","line":298,"kind":"instance","docLink":"./Init/Coe.html#boolToSort","doc":""},"boolToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L295-L296","name":"boolToProp","line":295,"kind":"instance","docLink":"./Init/Coe.html#boolToProp","doc":""},"boolIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L410-L412","name":"boolIfThenElse","line":410,"kind":"def","docLink":"./Init/Notation.html#boolIfThenElse","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L47-L50","name":"bool","line":47,"kind":"def","docLink":"./Init/Control/Basic.html#bool","doc":""},"bne_self_eq_false'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L152-L152","name":"bne_self_eq_false'","line":152,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false'","doc":""},"bne_self_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L151-L151","name":"bne_self_eq_false","line":151,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false","doc":""},"bne_iff_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L160-L161","name":"bne_iff_ne","line":160,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_iff_ne","doc":""},"bne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L482-L483","name":"bne","line":482,"kind":"def","docLink":"./Init/Core.html#bne","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming 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follows from two contradictory hypotheses. Example:\n```\nexample (hp : p) (hnp : ¬p) : q := absurd hp hnp\n```\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Xor.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1339-L1339","name":"Xor.xor","line":1339,"kind":"def","docLink":"./Init/Prelude.html#Xor.xor","doc":"The implementation of `a ^^^ b : α`. See `HXor`. 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The `Unit` should be preferred over `PUnit` where possible to avoid\nunnecessary universe parameters.\n\nIn functional programming, `Unit` is the return type of things that \"return\nnothing\", since a type with one element conveys no additional information.\nWhen programming with monads, the type `m Unit` represents an action that has\nsome side effects but does not return a value, while `m α` would be an action\nthat has side effects and returns a value of type `α`.\n"},"USize.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L312-L312","name":"USize.xor","line":312,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.xor","doc":""},"USize.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1991-L1991","name":"USize.val","line":1991,"kind":"def","docLink":"./Init/Prelude.html#USize.val","doc":"Unpack a `USize` as a `Nat` less than `USize.size`.\nThis function is overridden with a native implementation. "},"USize.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3363-L3372","name":"USize.toUInt64","line":3363,"kind":"def","docLink":"./Init/Prelude.html#USize.toUInt64","doc":"Upcast a `USize` to a `UInt64`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L320-L320","name":"USize.toUInt32","line":320,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toUInt32","doc":""},"USize.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L294-L294","name":"USize.toNat","line":294,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toNat","doc":""},"USize.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L298-L298","name":"USize.sub","line":298,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.sub","doc":""},"USize.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L26-L27","name":"USize.sizeOf","line":26,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#USize.sizeOf","doc":""},"USize.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1973-L1973","name":"USize.size","line":1973,"kind":"def","docLink":"./Init/Prelude.html#USize.size","doc":"The size of type `UInt16`, that is, `2^System.Platform.numBits`, which may\nbe either `2^32` or `2^64` depending on the platform's architecture.\n"},"USize.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L316-L316","name":"USize.shiftRight","line":316,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftRight","doc":""},"USize.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L314-L314","name":"USize.shiftLeft","line":314,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftLeft","doc":""},"USize.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2001-L2003","name":"USize.ofNatCore","line":2001,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNatCore","doc":"Pack a `Nat` less than `USize.size` into a `USize`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2029-L2035","name":"USize.ofNat32","line":2029,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNat32","doc":"Upcast a `Nat` less than `2^32` to a `USize`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L291-L291","name":"USize.ofNat","line":291,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.ofNat","doc":""},"USize.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L300-L300","name":"USize.mul","line":300,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mul","doc":""},"USize.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L362-L363","name":"USize.modn_lt","line":362,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#USize.modn_lt","doc":""},"USize.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L306-L306","name":"USize.modn","line":306,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.modn","doc":""},"USize.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L304-L304","name":"USize.mod","line":304,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mod","doc":""},"USize.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"USize.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#USize.mk","doc":""},"USize.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L322-L322","name":"USize.lt","line":322,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lt","doc":""},"USize.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L310-L310","name":"USize.lor","line":310,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lor","doc":""},"USize.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L22-L22","name":"USize.log2","line":22,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#USize.log2","doc":""},"USize.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L323-L323","name":"USize.le","line":323,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.le","doc":""},"USize.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L308-L308","name":"USize.land","line":308,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.land","doc":""},"USize.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L302-L302","name":"USize.div","line":302,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.div","doc":""},"USize.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L347-L349","name":"USize.decLt","line":347,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLt","doc":""},"USize.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L353-L355","name":"USize.decLe","line":353,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLe","doc":""},"USize.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2011-L2014","name":"USize.decEq","line":2011,"kind":"def","docLink":"./Init/Prelude.html#USize.decEq","doc":"Decides equality on `USize`.\nThis function is overridden with a native implementation.\n"},"USize.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L336-L336","name":"USize.complement","line":336,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.complement","doc":""},"USize.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L296-L296","name":"USize.add","line":296,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.add","doc":""},"USize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1988-L1991","name":"USize","line":1988,"kind":"structure","docLink":"./Init/Prelude.html#USize","doc":"A `USize` is an unsigned integer with the size of a word\nfor the platform's architecture.\n\nFor example, if running on a 32-bit machine, USize is equivalent to UInt32.\nOr on a 64-bit machine, UInt64.\n"},"ULift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L791-L791","name":"ULift.up_down","line":791,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.up_down","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L787-L787","name":"ULift.up","line":787,"kind":"ctor","docLink":"./Init/Prelude.html#ULift.up","doc":"Lift a value into `ULift α` "},"ULift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L794-L794","name":"ULift.down_up","line":794,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.down_up","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L788-L788","name":"ULift.down","line":788,"kind":"def","docLink":"./Init/Prelude.html#ULift.down","doc":"Extract a value from `ULift α` "},"ULift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L786-L788","name":"ULift","line":786,"kind":"structure","docLink":"./Init/Prelude.html#ULift","doc":"Universe lifting operation from a lower `Type` universe to a higher one.\nTo express this using level variables, the input is `Type s` and the output is\n`Type (max s r)`, so if `s ≤ r` then the latter is (definitionally) `Type r`.\n\nThe universe variable `r` is written first so that `ULift.{r} α` can be used\nwhen `s` can be inferred from the type of `α`.\n"},"UInt8.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L34-L34","name":"UInt8.xor","line":34,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.xor","doc":""},"UInt8.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1786-L1786","name":"UInt8.val","line":1786,"kind":"def","docLink":"./Init/Prelude.html#UInt8.val","doc":"Unpack a `UInt8` as a `Nat` less than `2^8`.\nThis function is overridden with a native implementation. "},"UInt8.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L241-L241","name":"UInt8.toUInt64","line":241,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt64","doc":""},"UInt8.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L183-L183","name":"UInt8.toUInt32","line":183,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt32","doc":""},"UInt8.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L107-L107","name":"UInt8.toUInt16","line":107,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt16","doc":""},"UInt8.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L16-L16","name":"UInt8.toNat","line":16,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toNat","doc":""},"UInt8.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L20-L20","name":"UInt8.sub","line":20,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.sub","doc":""},"UInt8.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L14-L15","name":"UInt8.sizeOf","line":14,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt8.sizeOf","doc":""},"UInt8.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1777-L1777","name":"UInt8.size","line":1777,"kind":"def","docLink":"./Init/Prelude.html#UInt8.size","doc":"The size of type `UInt8`, that is, `2^8 = 256`. "},"UInt8.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L38-L38","name":"UInt8.shiftRight","line":38,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftRight","doc":""},"UInt8.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L36-L36","name":"UInt8.shiftLeft","line":36,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftLeft","doc":""},"UInt8.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1796-L1797","name":"UInt8.ofNatCore","line":1796,"kind":"def","docLink":"./Init/Prelude.html#UInt8.ofNatCore","doc":"Pack a `Nat` less than `2^8` into a `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L13-L13","name":"UInt8.ofNat","line":13,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.ofNat","doc":""},"UInt8.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L22-L22","name":"UInt8.mul","line":22,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mul","doc":""},"UInt8.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L28-L28","name":"UInt8.modn","line":28,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.modn","doc":""},"UInt8.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L26-L26","name":"UInt8.mod","line":26,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mod","doc":""},"UInt8.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt8.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt8.mk","doc":""},"UInt8.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L39-L39","name":"UInt8.lt","line":39,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lt","doc":""},"UInt8.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L32-L32","name":"UInt8.lor","line":32,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lor","doc":""},"UInt8.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L10-L10","name":"UInt8.log2","line":10,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt8.log2","doc":""},"UInt8.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L40-L40","name":"UInt8.le","line":40,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.le","doc":""},"UInt8.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L30-L30","name":"UInt8.land","line":30,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.land","doc":""},"UInt8.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L24-L24","name":"UInt8.div","line":24,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.div","doc":""},"UInt8.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L64-L66","name":"UInt8.decLt","line":64,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLt","doc":""},"UInt8.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L70-L72","name":"UInt8.decLe","line":70,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLe","doc":""},"UInt8.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1805-L1808","name":"UInt8.decEq","line":1805,"kind":"def","docLink":"./Init/Prelude.html#UInt8.decEq","doc":"Decides equality on `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L53-L53","name":"UInt8.complement","line":53,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.complement","doc":""},"UInt8.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L18-L18","name":"UInt8.add","line":18,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.add","doc":""},"UInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1783-L1786","name":"UInt8","line":1783,"kind":"structure","docLink":"./Init/Prelude.html#UInt8","doc":"The type of unsigned 8-bit integers. This type has special support in the\ncompiler to make it actually 8 bits rather than wrapping a `Nat`.\n"},"UInt64.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L227-L227","name":"UInt64.xor","line":227,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.xor","doc":""},"UInt64.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1940-L1940","name":"UInt64.val","line":1940,"kind":"def","docLink":"./Init/Prelude.html#UInt64.val","doc":"Unpack a `UInt64` as a `Nat` less than `2^64`.\nThis function is overridden with a native implementation. "},"UInt64.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3355-L3355","name":"UInt64.toUSize","line":3355,"kind":"opaque","docLink":"./Init/Prelude.html#UInt64.toUSize","doc":"Converts a `UInt64` to a `USize` by reducing modulo `USize.size`. "},"UInt64.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L235-L235","name":"UInt64.toUInt8","line":235,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt8","doc":""},"UInt64.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L239-L239","name":"UInt64.toUInt32","line":239,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt32","doc":""},"UInt64.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L237-L237","name":"UInt64.toUInt16","line":237,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt16","doc":""},"UInt64.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L209-L209","name":"UInt64.toNat","line":209,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toNat","doc":""},"UInt64.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L107-L107","name":"UInt64.toFloat","line":107,"kind":"opaque","docLink":"./Init/Data/Float.html#UInt64.toFloat","doc":""},"UInt64.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L213-L213","name":"UInt64.sub","line":213,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.sub","doc":""},"UInt64.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L23-L24","name":"UInt64.sizeOf","line":23,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt64.sizeOf","doc":""},"UInt64.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1932-L1932","name":"UInt64.size","line":1932,"kind":"def","docLink":"./Init/Prelude.html#UInt64.size","doc":"The size of type `UInt64`, that is, `2^64 = 18446744073709551616`. "},"UInt64.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L231-L231","name":"UInt64.shiftRight","line":231,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftRight","doc":""},"UInt64.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L229-L229","name":"UInt64.shiftLeft","line":229,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftLeft","doc":""},"UInt64.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1950-L1951","name":"UInt64.ofNatCore","line":1950,"kind":"def","docLink":"./Init/Prelude.html#UInt64.ofNatCore","doc":"Pack a `Nat` less than `2^64` into a `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L206-L206","name":"UInt64.ofNat","line":206,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.ofNat","doc":""},"UInt64.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L215-L215","name":"UInt64.mul","line":215,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mul","doc":""},"UInt64.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L221-L221","name":"UInt64.modn","line":221,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.modn","doc":""},"UInt64.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L219-L219","name":"UInt64.mod","line":219,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mod","doc":""},"UInt64.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt64.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt64.mk","doc":""},"UInt64.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L232-L232","name":"UInt64.lt","line":232,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lt","doc":""},"UInt64.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L225-L225","name":"UInt64.lor","line":225,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lor","doc":""},"UInt64.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L19-L19","name":"UInt64.log2","line":19,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt64.log2","doc":""},"UInt64.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L233-L233","name":"UInt64.le","line":233,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.le","doc":""},"UInt64.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L223-L223","name":"UInt64.land","line":223,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.land","doc":""},"UInt64.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L217-L217","name":"UInt64.div","line":217,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.div","doc":""},"UInt64.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L272-L274","name":"UInt64.decLt","line":272,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLt","doc":""},"UInt64.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L278-L280","name":"UInt64.decLe","line":278,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLe","doc":""},"UInt64.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1959-L1962","name":"UInt64.decEq","line":1959,"kind":"def","docLink":"./Init/Prelude.html#UInt64.decEq","doc":"Decides equality on `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L258-L258","name":"UInt64.complement","line":258,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.complement","doc":""},"UInt64.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L211-L211","name":"UInt64.add","line":211,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.add","doc":""},"UInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1937-L1940","name":"UInt64","line":1937,"kind":"structure","docLink":"./Init/Prelude.html#UInt64","doc":"The type of unsigned 64-bit integers. This type has special support in the\ncompiler to make it actually 64 bits rather than wrapping a `Nat`.\n"},"UInt32.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L173-L173","name":"UInt32.xor","line":173,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.xor","doc":""},"UInt32.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1864-L1864","name":"UInt32.val","line":1864,"kind":"def","docLink":"./Init/Prelude.html#UInt32.val","doc":"Unpack a `UInt32` as a `Nat` less than `2^32`.\nThis function is overridden with a native implementation. "},"UInt32.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L318-L318","name":"UInt32.toUSize","line":318,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUSize","doc":""},"UInt32.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L179-L179","name":"UInt32.toUInt8","line":179,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt8","doc":""},"UInt32.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L245-L245","name":"UInt32.toUInt64","line":245,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt64","doc":""},"UInt32.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L181-L181","name":"UInt32.toUInt16","line":181,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt16","doc":""},"UInt32.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1882-L1882","name":"UInt32.toNat","line":1882,"kind":"def","docLink":"./Init/Prelude.html#UInt32.toNat","doc":"Unpack a `UInt32` as a `Nat`.\nThis function is overridden with a native implementation.\n"},"UInt32.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L159-L159","name":"UInt32.sub","line":159,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.sub","doc":""},"UInt32.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L20-L21","name":"UInt32.sizeOf","line":20,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt32.sizeOf","doc":""},"UInt32.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1855-L1855","name":"UInt32.size","line":1855,"kind":"def","docLink":"./Init/Prelude.html#UInt32.size","doc":"The size of type `UInt32`, that is, `2^32 = 4294967296`. "},"UInt32.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L177-L177","name":"UInt32.shiftRight","line":177,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftRight","doc":""},"UInt32.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L175-L175","name":"UInt32.shiftLeft","line":175,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftLeft","doc":""},"UInt32.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1874-L1875","name":"UInt32.ofNatCore","line":1874,"kind":"def","docLink":"./Init/Prelude.html#UInt32.ofNatCore","doc":"Pack a `Nat` less than `2^32` into a `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L154-L154","name":"UInt32.ofNat'","line":154,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat'","doc":""},"UInt32.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L152-L152","name":"UInt32.ofNat","line":152,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat","doc":""},"UInt32.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L161-L161","name":"UInt32.mul","line":161,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mul","doc":""},"UInt32.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L167-L167","name":"UInt32.modn","line":167,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.modn","doc":""},"UInt32.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L165-L165","name":"UInt32.mod","line":165,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mod","doc":""},"UInt32.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt32.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt32.mk","doc":""},"UInt32.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L171-L171","name":"UInt32.lor","line":171,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.lor","doc":""},"UInt32.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L16-L16","name":"UInt32.log2","line":16,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt32.log2","doc":""},"UInt32.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L169-L169","name":"UInt32.land","line":169,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.land","doc":""},"UInt32.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2048-L2049","name":"UInt32.isValidChar","line":2048,"kind":"def","docLink":"./Init/Prelude.html#UInt32.isValidChar","doc":"A `UInt32` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"UInt32.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L163-L163","name":"UInt32.div","line":163,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.div","doc":""},"UInt32.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1912-L1914","name":"UInt32.decLt","line":1912,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLt","doc":"Decides less-equal on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1922-L1924","name":"UInt32.decLe","line":1922,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLe","doc":"Decides less-than on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1890-L1893","name":"UInt32.decEq","line":1890,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decEq","doc":"Decides equality on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L196-L196","name":"UInt32.complement","line":196,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.complement","doc":""},"UInt32.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L157-L157","name":"UInt32.add","line":157,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.add","doc":""},"UInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1861-L1864","name":"UInt32","line":1861,"kind":"structure","docLink":"./Init/Prelude.html#UInt32","doc":"The type of unsigned 32-bit integers. This type has special support in the\ncompiler to make it actually 32 bits rather than wrapping a `Nat`.\n"},"UInt16.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L101-L101","name":"UInt16.xor","line":101,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.xor","doc":""},"UInt16.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1825-L1825","name":"UInt16.val","line":1825,"kind":"def","docLink":"./Init/Prelude.html#UInt16.val","doc":"Unpack a `UInt16` as a `Nat` less than `2^16`.\nThis function is overridden with a native implementation. "},"UInt16.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L105-L105","name":"UInt16.toUInt8","line":105,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt8","doc":""},"UInt16.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L243-L243","name":"UInt16.toUInt64","line":243,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt64","doc":""},"UInt16.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L185-L185","name":"UInt16.toUInt32","line":185,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt32","doc":""},"UInt16.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L83-L83","name":"UInt16.toNat","line":83,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toNat","doc":""},"UInt16.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L87-L87","name":"UInt16.sub","line":87,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.sub","doc":""},"UInt16.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L17-L18","name":"UInt16.sizeOf","line":17,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt16.sizeOf","doc":""},"UInt16.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1816-L1816","name":"UInt16.size","line":1816,"kind":"def","docLink":"./Init/Prelude.html#UInt16.size","doc":"The size of type `UInt16`, that is, `2^16 = 65536`. "},"UInt16.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L109-L109","name":"UInt16.shiftRight","line":109,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftRight","doc":""},"UInt16.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L103-L103","name":"UInt16.shiftLeft","line":103,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftLeft","doc":""},"UInt16.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1835-L1836","name":"UInt16.ofNatCore","line":1835,"kind":"def","docLink":"./Init/Prelude.html#UInt16.ofNatCore","doc":"Pack a `Nat` less than `2^16` into a `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L80-L80","name":"UInt16.ofNat","line":80,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.ofNat","doc":""},"UInt16.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L89-L89","name":"UInt16.mul","line":89,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mul","doc":""},"UInt16.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L95-L95","name":"UInt16.modn","line":95,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.modn","doc":""},"UInt16.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L93-L93","name":"UInt16.mod","line":93,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mod","doc":""},"UInt16.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"UInt16.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt16.mk","doc":""},"UInt16.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L110-L110","name":"UInt16.lt","line":110,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lt","doc":""},"UInt16.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L99-L99","name":"UInt16.lor","line":99,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lor","doc":""},"UInt16.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Log2.lean#L13-L13","name":"UInt16.log2","line":13,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt16.log2","doc":""},"UInt16.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L111-L111","name":"UInt16.le","line":111,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.le","doc":""},"UInt16.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L97-L97","name":"UInt16.land","line":97,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.land","doc":""},"UInt16.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L91-L91","name":"UInt16.div","line":91,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.div","doc":""},"UInt16.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L136-L138","name":"UInt16.decLt","line":136,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLt","doc":""},"UInt16.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L142-L144","name":"UInt16.decLe","line":142,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLe","doc":""},"UInt16.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1844-L1847","name":"UInt16.decEq","line":1844,"kind":"def","docLink":"./Init/Prelude.html#UInt16.decEq","doc":"Decides equality on `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L125-L125","name":"UInt16.complement","line":125,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.complement","doc":""},"UInt16.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L85-L85","name":"UInt16.add","line":85,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.add","doc":""},"UInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1822-L1825","name":"UInt16","line":1822,"kind":"structure","docLink":"./Init/Prelude.html#UInt16","doc":"The type of unsigned 16-bit integers. This type has special support in the\ncompiler to make it actually 16 bits rather than wrapping a `Nat`.\n"},"TypeName.typeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L54-L54","name":"TypeName.typeName","line":54,"kind":"opaque","docLink":"./Init/Dynamic.html#TypeName.typeName","doc":"Returns a declaration name of the type.\n"},"TypeName.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L44-L45","name":"TypeName.mk","line":44,"kind":"def","docLink":"./Init/Dynamic.html#TypeName.mk","doc":"Creates a `TypeName` instance.\n\nFor safety, it is required that the constant `typeName` is definitionally equal\nto `α`.\n"},"TypeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L33-L34","name":"TypeName","line":33,"kind":"class","docLink":"./Init/Dynamic.html#TypeName","doc":"Dynamic type name information.\nTypes with an instance of `TypeName` can be stored in an `Dynamic`.\nThe type class contains the declaration name of the type,\nwhich must not have any universe parameters\nand be of type `Sort ..` (i.e., monomorphic).\n\nThe preferred way to declare instances of this type is using the derive\nhandler, which will internally use the unsafe `TypeName.mk` function.\n\nMorally, this is the same as:\n```lean\nclass TypeName (α : Type) where unsafe mk ::\n typeName : Name\n```\n"},"True.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L177-L179","name":"True.intro","line":177,"kind":"ctor","docLink":"./Init/Prelude.html#True.intro","doc":"`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. "},"True":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L176-L179","name":"True","line":176,"kind":"inductive","docLink":"./Init/Prelude.html#True","doc":"`True` is a proposition and has only an introduction rule, `True.intro : True`.\nIn other words, `True` is simply true, and has a canonical proof, `True.intro`\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Trans.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1124-L1124","name":"Trans.trans","line":1124,"kind":"def","docLink":"./Init/Prelude.html#Trans.trans","doc":"Compose two proofs by transitivity, generalized over the relations involved. "},"Trans.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1122-L1122","name":"Trans.mk","line":1122,"kind":"ctor","docLink":"./Init/Prelude.html#Trans.mk","doc":""},"Trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1122-L1124","name":"Trans","line":1122,"kind":"class","docLink":"./Init/Prelude.html#Trans","doc":"Transitive chaining of proofs, used e.g. by `calc`.\n\nIt takes two relations `r` and `s` as \"input\", and produces an \"output\"\nrelation `t`, with the property that `r a b` and `s b c` implies `t a c`.\nThe `calc` tactic uses this so that when it sees a chain with `a ≤ b` and `b < c`\nit knows that this should be a proof of `a < c` because there is an instance\n`Trans (·≤·) (·<·) (·<·)`.\n"},"ToString.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L20-L20","name":"ToString.toString","line":20,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#ToString.toString","doc":""},"ToString.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L19-L19","name":"ToString.mk","line":19,"kind":"ctor","docLink":"./Init/Data/ToString/Basic.html#ToString.mk","doc":""},"ToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L19-L20","name":"ToString","line":19,"kind":"class","docLink":"./Init/Data/ToString/Basic.html#ToString","doc":""},"ToStream.toStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L44-L44","name":"ToStream.toStream","line":44,"kind":"def","docLink":"./Init/Data/Stream.html#ToStream.toStream","doc":""},"ToStream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L43-L43","name":"ToStream.mk","line":43,"kind":"ctor","docLink":"./Init/Data/Stream.html#ToStream.mk","doc":""},"ToStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Stream.lean#L43-L44","name":"ToStream","line":43,"kind":"class","docLink":"./Init/Data/Stream.html#ToStream","doc":"Streams are used to implement parallel `for` statements.\nExample:\n```\nfor x in xs, y in ys do\n ...\n```\nis expanded into\n```\nlet mut s := toStream ys\nfor x in xs do\n match Stream.next? s with\n | none => break\n | some (y, s') =>\n s := s'\n ...\n```\n"},"ToBool.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L40-L40","name":"ToBool.toBool","line":40,"kind":"def","docLink":"./Init/Control/Basic.html#ToBool.toBool","doc":""},"ToBool.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L39-L39","name":"ToBool.mk","line":39,"kind":"ctor","docLink":"./Init/Control/Basic.html#ToBool.mk","doc":""},"ToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L39-L40","name":"ToBool","line":39,"kind":"class","docLink":"./Init/Control/Basic.html#ToBool","doc":""},"Thunk.sizeOf_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L70-L71","name":"Thunk.sizeOf_eq","line":70,"kind":"theorem","docLink":"./Init/Core.html#Thunk.sizeOf_eq","doc":""},"Thunk.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L51-L52","name":"Thunk.pure","line":51,"kind":"def","docLink":"./Init/Core.html#Thunk.pure","doc":"Store a value in a thunk. Note that the value has already been computed, so there is no laziness. "},"Thunk.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L44-L44","name":"Thunk.mk","line":44,"kind":"ctor","docLink":"./Init/Core.html#Thunk.mk","doc":"Constructs a new thunk from a function `Unit → α`\nthat will be called when the thunk is forced. "},"Thunk.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L64-L65","name":"Thunk.map","line":64,"kind":"def","docLink":"./Init/Core.html#Thunk.map","doc":"Map a function over a thunk. "},"Thunk.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L60-L61","name":"Thunk.get","line":60,"kind":"def","docLink":"./Init/Core.html#Thunk.get","doc":"Forces a thunk to extract the value. This will cache the result,\nso a second call to the same function will return the value in O(1)\ninstead of calling the stored getter function.\n"},"Thunk.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L67-L68","name":"Thunk.bind","line":67,"kind":"def","docLink":"./Init/Core.html#Thunk.bind","doc":"Constructs a thunk that applies `f` to the result of `x` when forced. "},"Thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L41-L46","name":"Thunk","line":41,"kind":"structure","docLink":"./Init/Core.html#Thunk","doc":"Thunks are \"lazy\" values that are evaluated when first accessed using `Thunk.get/map/bind`.\nThe value is then stored and not recomputed for all further accesses. "},"Tensor2d'.transpose_transpose":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"Tensor2d'.transpose":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"Tensor2d'.mk":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"Tensor2d'.mat":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"Tensor2d'.map_functorial":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"Tensor2d'.map_extract":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"Tensor2d'.map_error":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"Tensor2d'.map":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"Tensor2d'.fill_extract":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"Tensor2d'.fill":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"Tensor2d'.extract":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"Tensor2d'.error":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"Tensor2d'.dim₁":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"Tensor2d'.dim₀":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"Tensor2d'":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"Task.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L404-L405","name":"Task.spawn","line":404,"kind":"def","docLink":"./Init/Core.html#Task.spawn","doc":"`spawn fn : Task α` constructs and immediately launches a new task for\nevaluating the function `fn () : α` asynchronously.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L364-L364","name":"Task.pure","line":364,"kind":"ctor","docLink":"./Init/Core.html#Task.pure","doc":"`Task.pure (a : α)` constructs a task that is already resolved with value `a`. "},"Task.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L416-L417","name":"Task.map","line":416,"kind":"def","docLink":"./Init/Core.html#Task.map","doc":"`map f x` maps function `f` over the task `x`: that is, it constructs\n(and immediately launches) a new task which will wait for the value of `x` to\nbe available and then calls `f` on the result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L367-L367","name":"Task.get","line":367,"kind":"def","docLink":"./Init/Core.html#Task.get","doc":"If `task : Task α` then `task.get : α` blocks the current thread until the\nvalue is available, and then returns the result of the task. "},"Task.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L429-L430","name":"Task.bind","line":429,"kind":"def","docLink":"./Init/Core.html#Task.bind","doc":"`bind x f` does a monad \"bind\" operation on the task `x` with function `f`:\nthat is, it constructs (and immediately launches) a new task which will wait\nfor the value of `x` to be available and then calls `f` on the result,\nresulting in a new task which is then run for a result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.Priority.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L387-L387","name":"Task.Priority.max","line":387,"kind":"def","docLink":"./Init/Core.html#Task.Priority.max","doc":"The highest regular priority for spawned tasks: `8`.\n\nSpawning a task with a priority higher than `Task.Priority.max` is not an error but\nwill spawn a dedicated worker for the task, see `Task.Priority.dedicated`.\nRegular priority tasks are placed in a thread pool and worked on according to the priority order.\n"},"Task.Priority.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L378-L378","name":"Task.Priority.default","line":378,"kind":"def","docLink":"./Init/Core.html#Task.Priority.default","doc":"The default priority for spawned tasks, also the lowest priority: `0`. "},"Task.Priority.dedicated":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L394-L394","name":"Task.Priority.dedicated","line":394,"kind":"def","docLink":"./Init/Core.html#Task.Priority.dedicated","doc":"Any priority higher than `Task.Priority.max` will result in the task being scheduled\nimmediately on a dedicated thread. This is particularly useful for long-running and/or\nI/O-bound tasks since Lean will by default allocate no more non-dedicated workers\nthan the number of cores to reduce context switches.\n"},"Task.Priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L375-L375","name":"Task.Priority","line":375,"kind":"def","docLink":"./Init/Core.html#Task.Priority","doc":"Task priority. Tasks with higher priority will always be scheduled before ones with lower priority. "},"Task":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L362-L368","name":"Task","line":362,"kind":"structure","docLink":"./Init/Core.html#Task","doc":"`Task α` is a primitive for asynchronous computation.\nIt represents a computation that will resolve to a value of type `α`,\npossibly being computed on another thread. This is similar to `Future` in Scala,\n`Promise` in Javascript, and `JoinHandle` in Rust.\n\nThe tasks have an overridden representation in the runtime.\n"},"TUS":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"TC.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L144-L145","name":"TC.wf","line":144,"kind":"def","docLink":"./Init/WF.html#TC.wf","doc":""},"TC.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L949-L950","name":"TC.trans","line":949,"kind":"ctor","docLink":"./Init/Core.html#TC.trans","doc":"The transitive closure is transitive. "},"TC.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L947-L948","name":"TC.base","line":947,"kind":"ctor","docLink":"./Init/Core.html#TC.base","doc":"If `r a b` then `r⁺ a b`. This is the base case of the transitive closure. "},"TC.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L135-L142","name":"TC.accessible","line":135,"kind":"def","docLink":"./Init/WF.html#TC.accessible","doc":""},"TC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L946-L950","name":"TC","line":946,"kind":"inductive","docLink":"./Init/Core.html#TC","doc":"The transitive closure `r⁺` of a relation `r` is the smallest relation which is\ntransitive and contains `r`. `r⁺ a z` if and only if there exists a sequence\n`a r b r ... r z` of length at least 1 connecting `a` to `z`.\n"},"System.mkFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L114-L115","name":"System.mkFilePath","line":114,"kind":"def","docLink":"./Init/System/FilePath.html#System.mkFilePath","doc":""},"System.instToStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L22-L23","name":"System.instToStringFilePath","line":22,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instToStringFilePath","doc":""},"System.instReprFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L19-L20","name":"System.instReprFilePath","line":19,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instReprFilePath","doc":""},"System.instInhabitedFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instInhabitedFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instInhabitedFilePath","doc":""},"System.instHashableFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instHashableFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instHashableFilePath","doc":""},"System.instDecidableEqFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L17-L17","name":"System.instDecidableEqFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instDecidableEqFilePath","doc":""},"System.instCoeStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L117-L118","name":"System.instCoeStringFilePath","line":117,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instCoeStringFilePath","doc":""},"System.Uri.unescapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L83-L84","name":"System.Uri.unescapeUri","line":83,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.unescapeUri","doc":"Replaces all %HH Uri escapings in the given string with their\ncorresponding unicode code points. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.Uri.pathToUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L87-L97","name":"System.Uri.pathToUri","line":87,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.pathToUri","doc":"Convert the given FilePath to a \"file:///encodedpath\" Uri. "},"System.Uri.fileUriToPath?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L101-L112","name":"System.Uri.fileUriToPath?","line":101,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.fileUriToPath?","doc":"Convert the given uri to a FilePath stripping the 'file://' prefix,\nignoring the optional host name. "},"System.Uri.escapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L76-L77","name":"System.Uri.escapeUri","line":76,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.escapeUri","doc":"Replaces special characters in the given Uri with %HH Uri escapings. "},"System.Uri.UriEscape.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L15-L15","name":"System.Uri.UriEscape.zero","line":15,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.zero","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L69-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","line":69,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L61-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar","line":61,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar","doc":""},"System.Uri.UriEscape.rfc3986ReservedChars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L59-L59","name":"System.Uri.UriEscape.rfc3986ReservedChars","line":59,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.rfc3986ReservedChars","doc":""},"System.Uri.UriEscape.nine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L16-L16","name":"System.Uri.UriEscape.nine","line":16,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.nine","doc":""},"System.Uri.UriEscape.letterf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L18-L18","name":"System.Uri.UriEscape.letterf","line":18,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterf","doc":""},"System.Uri.UriEscape.lettera":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L17-L17","name":"System.Uri.UriEscape.lettera","line":17,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.lettera","doc":""},"System.Uri.UriEscape.letterF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L20-L20","name":"System.Uri.UriEscape.letterF","line":20,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterF","doc":""},"System.Uri.UriEscape.letterA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L19-L19","name":"System.Uri.UriEscape.letterA","line":19,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterA","doc":""},"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L53-L57","name":"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","line":53,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","doc":""},"System.Uri.UriEscape.decodeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Uri.lean#L25-L57","name":"System.Uri.UriEscape.decodeUri","line":25,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri","doc":"Decode %HH escapings in the given string. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.SearchPath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L131-L132","name":"System.SearchPath.toString","line":131,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.toString","doc":""},"System.SearchPath.separator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L125-L126","name":"System.SearchPath.separator","line":125,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.separator","doc":"The character that is used to separate the entries in the $PATH (or %PATH%) environment variable. "},"System.SearchPath.parse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L128-L129","name":"System.SearchPath.parse","line":128,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.parse","doc":""},"System.SearchPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L120-L120","name":"System.SearchPath","line":120,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath","doc":""},"System.Platform.numBits_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1738-L1739","name":"System.Platform.numBits_eq","line":1738,"kind":"theorem","docLink":"./Init/Prelude.html#System.Platform.numBits_eq","doc":""},"System.Platform.numBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1735-L1736","name":"System.Platform.numBits","line":1735,"kind":"def","docLink":"./Init/Prelude.html#System.Platform.numBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits. "},"System.Platform.isWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L16-L16","name":"System.Platform.isWindows","line":16,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isWindows","doc":""},"System.Platform.isOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L17-L17","name":"System.Platform.isOSX","line":17,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isOSX","doc":""},"System.Platform.isEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L18-L18","name":"System.Platform.isEmscripten","line":18,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isEmscripten","doc":""},"System.Platform.getNumBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1731-L1732","name":"System.Platform.getNumBits","line":1731,"kind":"opaque","docLink":"./Init/Prelude.html#System.Platform.getNumBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits.\n\nThis function is opaque because we cannot guarantee at compile time that the target\nwill have the same size as the host, and also because we would like to avoid\ntypechecking being architecture-dependent. Nevertheless, lean only works on\n64 and 32 bit systems so we can encode this as a fact available for proof purposes.\n"},"System.Platform.getIsWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L12-L12","name":"System.Platform.getIsWindows","line":12,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsWindows","doc":""},"System.Platform.getIsOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L13-L13","name":"System.Platform.getIsOSX","line":13,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsOSX","doc":""},"System.Platform.getIsEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Platform.lean#L14-L14","name":"System.Platform.getIsEmscripten","line":14,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsEmscripten","doc":""},"System.FilePath.withFileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L99-L102","name":"System.FilePath.withFileName","line":99,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withFileName","doc":""},"System.FilePath.withExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L104-L107","name":"System.FilePath.withExtension","line":104,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withExtension","doc":""},"System.FilePath.walkDir.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L487-L503","name":"System.FilePath.walkDir.go","line":487,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.walkDir.go","doc":""},"System.FilePath.walkDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L484-L503","name":"System.FilePath.walkDir","line":484,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.walkDir","doc":"Return all filesystem entries of a preorder traversal of all directories satisfying `enter`, starting at `p`.\nSymbolic links are visited as well by default. "},"System.FilePath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L16-L16","name":"System.FilePath.toString","line":16,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.toString","doc":""},"System.FilePath.readDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L468-L468","name":"System.FilePath.readDir","line":468,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.readDir","doc":""},"System.FilePath.pathSeparators":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L32-L33","name":"System.FilePath.pathSeparators","line":32,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparators","doc":"The list of all possible separators. "},"System.FilePath.pathSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L28-L29","name":"System.FilePath.pathSeparator","line":28,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparator","doc":"The character that separates directories. In the case where more than one character is possible, `pathSeparator` is the 'ideal' one. "},"System.FilePath.pathExists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L478-L479","name":"System.FilePath.pathExists","line":478,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.pathExists","doc":""},"System.FilePath.parent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L75-L76","name":"System.FilePath.parent","line":75,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.parent","doc":""},"System.FilePath.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L42-L50","name":"System.FilePath.normalize","line":42,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.normalize","doc":""},"System.FilePath.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L1-L1","name":"System.FilePath.mk","line":1,"kind":"ctor","docLink":"./Init/System/FilePath.html#System.FilePath.mk","doc":""},"System.FilePath.metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L471-L471","name":"System.FilePath.metadata","line":471,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.metadata","doc":""},"System.FilePath.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L60-L64","name":"System.FilePath.join","line":60,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.join","doc":""},"System.FilePath.isRelative":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L57-L58","name":"System.FilePath.isRelative","line":57,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isRelative","doc":""},"System.FilePath.isDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L473-L476","name":"System.FilePath.isDir","line":473,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.isDir","doc":""},"System.FilePath.isAbsolute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L54-L55","name":"System.FilePath.isAbsolute","line":54,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isAbsolute","doc":""},"System.FilePath.instHDivFilePathString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L69-L70","name":"System.FilePath.instHDivFilePathString","line":69,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instHDivFilePathString","doc":""},"System.FilePath.instDivFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L66-L67","name":"System.FilePath.instDivFilePath","line":66,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instDivFilePath","doc":""},"System.FilePath.fileStem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L85-L90","name":"System.FilePath.fileStem","line":85,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileStem","doc":"Extracts the stem (non-extension) part of `p.fileName`. "},"System.FilePath.fileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L78-L82","name":"System.FilePath.fileName","line":78,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileName","doc":""},"System.FilePath.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L92-L97","name":"System.FilePath.extension","line":92,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extension","doc":""},"System.FilePath.extSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L36-L36","name":"System.FilePath.extSeparator","line":36,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extSeparator","doc":"File extension character "},"System.FilePath.exeExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L38-L39","name":"System.FilePath.exeExtension","line":38,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.exeExtension","doc":""},"System.FilePath.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L109-L110","name":"System.FilePath.components","line":109,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.components","doc":""},"System.FilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/FilePath.lean#L15-L17","name":"System.FilePath","line":15,"kind":"structure","docLink":"./Init/System/FilePath.html#System.FilePath","doc":""},"Sum.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L74-L76","name":"Sum.repr","line":74,"kind":"def","docLink":"./Init/Data/Repr.html#Sum.repr","doc":""},"Sum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L105-L106","name":"Sum.inr","line":105,"kind":"ctor","docLink":"./Init/Core.html#Sum.inr","doc":"Right injection into the sum type `α ⊕ β`. If `b : β` then `.inr b : α ⊕ β`. "},"Sum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L103-L104","name":"Sum.inl","line":103,"kind":"ctor","docLink":"./Init/Core.html#Sum.inl","doc":"Left injection into the sum type `α ⊕ β`. If `a : α` then `.inl a : α ⊕ β`. "},"Sum.inhabitedRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L985-L986","name":"Sum.inhabitedRight","line":985,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedRight","doc":""},"Sum.inhabitedLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L982-L983","name":"Sum.inhabitedLeft","line":982,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedLeft","doc":""},"Sum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L102-L106","name":"Sum","line":102,"kind":"inductive","docLink":"./Init/Core.html#Sum","doc":"`Sum α β`, or `α ⊕ β`, is the disjoint union of types `α` and `β`.\nAn element of `α ⊕ β` is either of the form `.inl a` where `a : α`,\nor `.inr b` where `b : β`.\n"},"Subtype.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L564-L564","name":"Subtype.val","line":564,"kind":"def","docLink":"./Init/Prelude.html#Subtype.val","doc":"If `s : {x // p x}` then `s.val : α` is the underlying element in the base\ntype. You can also write this as `s.1`, or simply as `s` when the type is\nknown from context. "},"Subtype.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L32-L33","name":"Subtype.sizeOf","line":32,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Subtype.sizeOf","doc":""},"Subtype.property":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L567-L567","name":"Subtype.property","line":567,"kind":"def","docLink":"./Init/Prelude.html#Subtype.property","doc":"If `s : {x // p x}` then `s.2` or `s.property` is the assertion that\n`p s.1`, that is, that `s` is in fact an element for which `p` holds. "},"Subtype.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L560-L560","name":"Subtype.mk","line":560,"kind":"ctor","docLink":"./Init/Prelude.html#Subtype.mk","doc":""},"Subtype.instInhabitedSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L967-L968","name":"Subtype.instInhabitedSubtype","line":967,"kind":"instance","docLink":"./Init/Core.html#Subtype.instInhabitedSubtype","doc":""},"Subtype.instDecidableEqSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L970-L973","name":"Subtype.instDecidableEqSubtype","line":970,"kind":"instance","docLink":"./Init/Core.html#Subtype.instDecidableEqSubtype","doc":""},"Subtype.existsOfSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L955-L956","name":"Subtype.existsOfSubtype","line":955,"kind":"theorem","docLink":"./Init/Core.html#Subtype.existsOfSubtype","doc":""},"Subtype.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L963-L965","name":"Subtype.eta","line":963,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eta","doc":""},"Subtype.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L960-L961","name":"Subtype.eq","line":960,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eq","doc":""},"Subtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L560-L567","name":"Subtype","line":560,"kind":"structure","docLink":"./Init/Prelude.html#Subtype","doc":"`Subtype p`, usually written as `{x : α // p x}`, is a type which\nrepresents all the elements `x : α` for which `p x` is true. It is structurally\na pair-like type, so if you have `x : α` and `h : p x` then\n`⟨x, h⟩ : {x // p x}`. An element `s : {x // p x}` will coerce to `α` but\nyou can also make it explicit using `s.1` or `s.val`.\n"},"Substring.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L679-L680","name":"Substring.trimRight","line":679,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimRight","doc":""},"Substring.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L676-L677","name":"Substring.trimLeft","line":676,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimLeft","doc":""},"Substring.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L682-L686","name":"Substring.trim","line":682,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trim","doc":""},"Substring.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L525-L526","name":"Substring.toString","line":525,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toString","doc":""},"Substring.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L691-L695","name":"Substring.toNat?","line":691,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toNat?","doc":""},"Substring.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L840-L854","name":"Substring.toName","line":840,"kind":"def","docLink":"./Init/Meta.html#Substring.toName","doc":""},"Substring.toIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L528-L529","name":"Substring.toIterator","line":528,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toIterator","doc":""},"Substring.takeWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L636-L643","name":"Substring.takeWhileAux","line":636,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhileAux","doc":""},"Substring.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L645-L648","name":"Substring.takeWhile","line":645,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhile","doc":""},"Substring.takeRightWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L655-L664","name":"Substring.takeRightWhileAux","line":655,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhileAux","doc":""},"Substring.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L666-L669","name":"Substring.takeRightWhile","line":666,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhile","doc":""},"Substring.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L584-L585","name":"Substring.takeRight","line":584,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRight","doc":""},"Substring.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L581-L582","name":"Substring.take","line":581,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.take","doc":""},"Substring.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2321-L2321","name":"Substring.str","line":2321,"kind":"def","docLink":"./Init/Prelude.html#Substring.str","doc":"The underlying string to slice. "},"Substring.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2325-L2325","name":"Substring.stopPos","line":2325,"kind":"def","docLink":"./Init/Prelude.html#Substring.stopPos","doc":"The byte position of the end of the string slice. "},"Substring.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2323-L2323","name":"Substring.startPos","line":2323,"kind":"def","docLink":"./Init/Prelude.html#Substring.startPos","doc":"The byte position of the start of the string slice. "},"Substring.splitOn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L597-L614","name":"Substring.splitOn.loop","line":597,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn.loop","doc":""},"Substring.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L593-L616","name":"Substring.splitOn","line":593,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn","doc":""},"Substring.prevn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L562-L564","name":"Substring.prevn","line":562,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prevn","doc":""},"Substring.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L553-L556","name":"Substring.prev","line":553,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prev","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the previous codepoint. "},"Substring.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L571-L573","name":"Substring.posOf","line":571,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.posOf","doc":"Return the offset into `s` of the first occurence of `c` in `s`,\nor `s.bsize` if `c` doesn't occur. "},"Substring.nextn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L558-L560","name":"Substring.nextn","line":558,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.nextn","doc":""},"Substring.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L537-L540","name":"Substring.next","line":537,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.next","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the next codepoint. "},"Substring.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"Substring.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Substring.mk","doc":""},"Substring.lt_next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L542-L549","name":"Substring.lt_next","line":542,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#Substring.lt_next","doc":""},"Substring.isNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L688-L689","name":"Substring.isNat","line":688,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isNat","doc":""},"Substring.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L522-L523","name":"Substring.isEmpty","line":522,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isEmpty","doc":""},"Substring.hasBeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L700-L700","name":"Substring.hasBeq","line":700,"kind":"instance","docLink":"./Init/Data/String/Basic.html#Substring.hasBeq","doc":""},"Substring.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L532-L533","name":"Substring.get","line":532,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.get","doc":"Return the codepoint at the given offset into the substring. "},"Substring.front":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L566-L567","name":"Substring.front","line":566,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.front","doc":""},"Substring.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L622-L624","name":"Substring.foldr","line":622,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.foldr","doc":""},"Substring.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L618-L620","name":"Substring.foldl","line":618,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.foldl","doc":""},"Substring.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L590-L591","name":"Substring.extract","line":590,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.extract","doc":""},"Substring.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L650-L653","name":"Substring.dropWhile","line":650,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropWhile","doc":""},"Substring.dropRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L671-L674","name":"Substring.dropRightWhile","line":671,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropRightWhile","doc":""},"Substring.dropRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L578-L579","name":"Substring.dropRight","line":578,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropRight","doc":""},"Substring.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L575-L576","name":"Substring.drop","line":575,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.drop","doc":""},"Substring.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L633-L634","name":"Substring.contains","line":633,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.contains","doc":""},"Substring.bsize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2331-L2332","name":"Substring.bsize","line":2331,"kind":"def","docLink":"./Init/Prelude.html#Substring.bsize","doc":"The byte length of the substring. "},"Substring.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L697-L698","name":"Substring.beq","line":697,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.beq","doc":""},"Substring.atEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L587-L588","name":"Substring.atEnd","line":587,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.atEnd","doc":""},"Substring.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L626-L628","name":"Substring.any","line":626,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.any","doc":""},"Substring.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L630-L631","name":"Substring.all","line":630,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.all","doc":""},"Substring":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2319-L2325","name":"Substring","line":2319,"kind":"structure","docLink":"./Init/Prelude.html#Substring","doc":"A `Substring` is a view into some subslice of a `String`.\nThe actual string slicing is deferred because this would require copying the\nstring; here we only store a reference to the original string for\ngarbage collection purposes.\n"},"Subsingleton.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L869-L869","name":"Subsingleton.intro","line":869,"kind":"ctor","docLink":"./Init/Core.html#Subsingleton.intro","doc":"Construct a proof that `α` is a subsingleton by showing that any two elements are equal. "},"Subsingleton.helim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L876-L879","name":"Subsingleton.helim","line":876,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.helim","doc":""},"Subsingleton.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L873-L874","name":"Subsingleton.elim","line":873,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.elim","doc":""},"Subsingleton.allEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L871-L871","name":"Subsingleton.allEq","line":871,"kind":"def","docLink":"./Init/Core.html#Subsingleton.allEq","doc":"Any two elements of a subsingleton are equal. "},"Subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L867-L871","name":"Subsingleton","line":867,"kind":"class","docLink":"./Init/Core.html#Subsingleton","doc":"A \"subsingleton\" is a type with at most one element.\nIn other words, it is either empty, or has a unique element.\nAll propositions are subsingletons because of proof irrelevance, but some other types\nare subsingletons as well and they inherit many of the same properties as propositions.\n`Subsingleton α` is a typeclass, so it is usually used as an implicit argument and\ninferred by typeclass 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See `HSub`. "},"Sub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1268-L1268","name":"Sub.mk","line":1268,"kind":"ctor","docLink":"./Init/Prelude.html#Sub.mk","doc":""},"Sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1268-L1270","name":"Sub","line":1268,"kind":"class","docLink":"./Init/Prelude.html#Sub","doc":"The homogeneous version of `HSub`: `a - b : α` where `a b : α`. "},"String.utf8SetAux_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L418-L422","name":"String.utf8SetAux_of_gt","line":418,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux_of_gt","doc":""},"String.utf8SetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L77-L80","name":"String.utf8SetAux","line":77,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux","doc":""},"String.utf8PrevAux_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L140-L149","name":"String.utf8PrevAux_lt_of_pos","line":140,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux_lt_of_pos","doc":""},"String.utf8PrevAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L94-L98","name":"String.utf8PrevAux","line":94,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux","doc":""},"String.utf8GetAux?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L61-L63","name":"String.utf8GetAux?","line":61,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux?","doc":""},"String.utf8GetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L47-L49","name":"String.utf8GetAux","line":47,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux","doc":""},"String.utf8ByteSize.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2346-L2348","name":"String.utf8ByteSize.go","line":2346,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize.go","doc":""},"String.utf8ByteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2343-L2348","name":"String.utf8ByteSize","line":2343,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize","doc":"The UTF-8 byte length of this string.\nThis is overridden by the compiler to be cached and O(1).\n"},"String.utf16PosToCodepointPosFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L49-L50","name":"String.utf16PosToCodepointPosFrom","line":49,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPosFrom","doc":"Computes the position of the Unicode codepoint at UTF-16 offset\n`utf16pos` in the substring of `s` starting at UTF-8 offset `off`. "},"String.utf16PosToCodepointPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L52-L53","name":"String.utf16PosToCodepointPos","line":52,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPos","doc":""},"String.utf16Length":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L27-L28","name":"String.utf16Length","line":27,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16Length","doc":""},"String.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L736-L737","name":"String.trimRight","line":736,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimRight","doc":""},"String.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L739-L740","name":"String.trimLeft","line":739,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimLeft","doc":""},"String.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L742-L743","name":"String.trim","line":742,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trim","doc":""},"String.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L751-L752","name":"String.toUpper","line":751,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toUpper","doc":""},"String.toUTF8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Extra.lean#L34-L34","name":"String.toUTF8","line":34,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.toUTF8","doc":"Convert the given `String` to a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded byte array. 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"},"String.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L474-L478","name":"String.toNat?","line":474,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toNat?","doc":""},"String.toNat!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Extra.lean#L19-L23","name":"String.toNat!","line":19,"kind":"def","docLink":"./Init/Data/String/Extra.html#String.toNat!","doc":"Interpret the string as the decimal representation of a natural number.\n\nPanics if the string is not a string of digits. 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"},"String.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L272-L272","name":"String.str","line":272,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.str","doc":""},"String.startsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L730-L731","name":"String.startsWith","line":730,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.startsWith","doc":""},"String.splitOnAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L248-L263","name":"String.splitOnAux","line":248,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOnAux","doc":""},"String.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L265-L266","name":"String.splitOn","line":265,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOn","doc":""},"String.splitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L232-L243","name":"String.splitAux","line":232,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitAux","doc":""},"String.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L245-L246","name":"String.split","line":245,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.split","doc":""},"String.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L283-L284","name":"String.singleton","line":283,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.singleton","doc":""},"String.set_next_add.foo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L429-L441","name":"String.set_next_add.foo","line":429,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add.foo","doc":""},"String.set_next_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L424-L442","name":"String.set_next_add","line":424,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add","doc":""},"String.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L83-L84","name":"String.set","line":83,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.set","doc":""},"String.revPosOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L167-L174","name":"String.revPosOfAux","line":167,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOfAux","doc":""},"String.revPosOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L176-L177","name":"String.revPosOf","line":176,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOf","doc":""},"String.revFindAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L191-L198","name":"String.revFindAux","line":191,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFindAux","doc":""},"String.revFind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L200-L201","name":"String.revFind","line":200,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFind","doc":""},"String.replace.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L504-L514","name":"String.replace.loop","line":504,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace.loop","doc":""},"String.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L500-L516","name":"String.replace","line":500,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace","doc":"Replace all occurrences of `pattern` in `s` with `replacement`. "},"String.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L203-L205","name":"String.quote","line":203,"kind":"def","docLink":"./Init/Data/Repr.html#String.quote","doc":""},"String.pushn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L274-L275","name":"String.pushn","line":274,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.pushn","doc":""},"String.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L34-L35","name":"String.push","line":34,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.push","doc":"The internal implementation uses dynamic arrays and will perform destructive updates\nif the String is not shared. "},"String.prev_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L151-L153","name":"String.prev_lt_of_pos","line":151,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.prev_lt_of_pos","doc":""},"String.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L101-L102","name":"String.prev","line":101,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.prev","doc":""},"String.pos_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L133-L133","name":"String.pos_lt_eq","line":133,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_lt_eq","doc":""},"String.pos_add_char":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L135-L135","name":"String.pos_add_char","line":135,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_add_char","doc":""},"String.posOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L155-L162","name":"String.posOfAux","line":155,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOfAux","doc":""},"String.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L164-L165","name":"String.posOf","line":164,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOf","doc":""},"String.one_le_csize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L130-L131","name":"String.one_le_csize","line":130,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.one_le_csize","doc":""},"String.offsetOfPosAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L365-L372","name":"String.offsetOfPosAux","line":365,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPosAux","doc":""},"String.offsetOfPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L374-L375","name":"String.offsetOfPos","line":374,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPos","doc":""},"String.nextWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L745-L746","name":"String.nextWhile","line":745,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextWhile","doc":""},"String.nextUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L748-L749","name":"String.nextUntil","line":748,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextUntil","doc":""},"String.next'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L126-L128","name":"String.next'","line":126,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next'","doc":"Similar to `next` but runtime does not perform bounds check.\n"},"String.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L90-L92","name":"String.next","line":90,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next","doc":""},"String.modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L86-L87","name":"String.modify","line":86,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.modify","doc":""},"String.mkIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L299-L300","name":"String.mkIterator","line":299,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.mkIterator","doc":""},"String.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2274-L2274","name":"String.mk","line":2274,"kind":"ctor","docLink":"./Init/Prelude.html#String.mk","doc":"Pack a `List Char` into a `String`. This function is overridden by the\ncompiler and is O(n) in the length of the list. 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"},"Std.Range.«term[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L66-L66","name":"Std.Range.«term[_:_]»","line":66,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_]»","doc":""},"Std.Range.«term[_:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L68-L68","name":"Std.Range.«term[_:_:_]»","line":68,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_:_]»","doc":""},"Std.Range.«term[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L65-L65","name":"Std.Range.«term[:_]»","line":65,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_]»","doc":""},"Std.Range.«term[:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L67-L67","name":"Std.Range.«term[:_:_]»","line":67,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_:_]»","doc":""},"Std.Range.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L14-L14","name":"Std.Range.stop","line":14,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.stop","doc":""},"Std.Range.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L15-L15","name":"Std.Range.step","line":15,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.step","doc":""},"Std.Range.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L13-L13","name":"Std.Range.start","line":13,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.start","doc":""},"Std.Range.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L1-L1","name":"Std.Range.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Range.html#Std.Range.mk","doc":""},"Std.Range.instForMRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L62-L63","name":"Std.Range.instForMRangeNat","line":62,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForMRangeNat","doc":""},"Std.Range.instForInRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L35-L36","name":"Std.Range.instForInRangeNat","line":35,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForInRangeNat","doc":""},"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L50-L51","name":"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","line":50,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","doc":""},"Std.Range.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L54-L59","name":"Std.Range.forM.loop","line":54,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM.loop","doc":""},"Std.Range.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L53-L60","name":"Std.Range.forM","line":53,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM","doc":""},"Std.Range.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L25-L32","name":"Std.Range.forIn.loop","line":25,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn.loop","doc":""},"Std.Range.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L39-L47","name":"Std.Range.forIn'.loop","line":39,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'.loop","doc":""},"Std.Range.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L38-L48","name":"Std.Range.forIn'","line":38,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'","doc":""},"Std.Range.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L23-L33","name":"Std.Range.forIn","line":23,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn","doc":""},"Std.Range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L12-L15","name":"Std.Range","line":12,"kind":"structure","docLink":"./Init/Data/Range.html#Std.Range","doc":""},"Std.Queue.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L61-L62","name":"Std.Queue.toArray","line":61,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.toArray","doc":""},"Std.Queue.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L19-L19","name":"Std.Queue.mk","line":19,"kind":"ctor","docLink":"./Init/Data/Queue.html#Std.Queue.mk","doc":""},"Std.Queue.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L38-L39","name":"Std.Queue.isEmpty","line":38,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.isEmpty","doc":"`O(1)`. Is the queue empty? "},"Std.Queue.instInhabitedQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L35-L35","name":"Std.Queue.instInhabitedQueue","line":35,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instInhabitedQueue","doc":""},"Std.Queue.instEmptyCollectionQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L34-L34","name":"Std.Queue.instEmptyCollectionQueue","line":34,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instEmptyCollectionQueue","doc":""},"Std.Queue.enqueueAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L46-L47","name":"Std.Queue.enqueueAll","line":46,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueueAll","doc":"`O(|vs|)`. Push a list of elements `vs` on the front of the queue. "},"Std.Queue.enqueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L42-L43","name":"Std.Queue.enqueue","line":42,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueue","doc":"`O(1)`. Push an element on the front of the queue. "},"Std.Queue.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L32-L32","name":"Std.Queue.empty","line":32,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.empty","doc":"`O(1)`. The empty queue. "},"Std.Queue.eList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L22-L22","name":"Std.Queue.eList","line":22,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.eList","doc":"The enqueue list, which stores elements that have just been pushed\n(with the most recently enqueued elements at the head). "},"Std.Queue.dequeue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L53-L59","name":"Std.Queue.dequeue?","line":53,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dequeue?","doc":"`O(1)` amortized, `O(n)` worst case. Pop an element from the back of the queue,\nreturning the element and the new queue.\n"},"Std.Queue.dList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L25-L25","name":"Std.Queue.dList","line":25,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dList","doc":"The dequeue list, which buffers elements ready to be dequeued\n(with the head being the next item to be yielded by `dequeue?`). "},"Std.Queue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Queue.lean#L19-L25","name":"Std.Queue","line":19,"kind":"structure","docLink":"./Init/Data/Queue.html#Std.Queue","doc":"A functional queue data structure, using two back-to-back lists.\nIf we think of the queue as having elements pushed on the front and\npopped from the back, then the queue itself is effectively `eList ++ dList.reverse`.\n"},"Std.Format.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L57-L58","name":"Std.Format.text","line":57,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.text","doc":"A node containing a plain string. "},"Std.Format.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L76-L77","name":"Std.Format.tag","line":76,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.tag","doc":"Used for associating auxiliary information (e.g. `Expr`s) with `Format` objects. "},"Std.Format.sbracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L269-L270","name":"Std.Format.sbracket","line":269,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.sbracket","doc":"Creates the format `\"[\" ++ f ++ \"]\"` with a flattening group."},"Std.Format.prettyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L256-L257","name":"Std.Format.prettyM","line":256,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prettyM","doc":"Render the given `f : Format` with a line width of `w`.\n`indent` is the starting amount to indent each line by. "},"Std.Format.pretty'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L32-L33","name":"Std.Format.pretty'","line":32,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.pretty'","doc":""},"Std.Format.pretty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L305-L307","name":"Std.Format.pretty","line":305,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.pretty","doc":"Pretty-print a `Format` object as a string with expected width `w`. "},"Std.Format.prefixJoin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L332-L334","name":"Std.Format.prefixJoin","line":332,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prefixJoin","doc":"Format each item in `items` and prepend prefix `pre`. "},"Std.Format.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L265-L266","name":"Std.Format.paren","line":265,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.paren","doc":"Creates the format `\"(\" ++ f ++ \")\"` with a flattening group."},"Std.Format.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L39-L40","name":"Std.Format.nil","line":39,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nil","doc":"The empty format. "},"Std.Format.nestD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L283-L284","name":"Std.Format.nestD","line":283,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.nestD","doc":"Nest with the default indentation amount."},"Std.Format.nest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L59-L71","name":"Std.Format.nest","line":59,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nest","doc":"`nest n f` tells the formatter that `f` is nested inside something with length `n`\nso that it is pretty-printed with the correct indentation on a line break.\nFor example, we can define a formatter for list `l : List Format` as:\n\n```\nlet f := join <| l.intersperse <| \", \" ++ Format.line\ngroup (nest 1 <| \"[\" ++ f ++ \"]\")\n```\n\nThis will be written all on one line, but if the text is too large,\nthe formatter will put in linebreaks after the commas and indent later lines by 1.\n"},"Std.Format.line":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L41-L43","name":"Std.Format.line","line":41,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.line","doc":"A position where a newline may be inserted\nif the current group does not fit within the allotted column width. "},"Std.Format.joinSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L337-L339","name":"Std.Format.joinSuffix","line":337,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSuffix","doc":"Format each item in `items` and append `suffix`. "},"Std.Format.joinSep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L326-L329","name":"Std.Format.joinSep","line":326,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSep","doc":"Intersperse the given list (each item printed with `format`) with the given `sep` format. "},"Std.Format.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L100-L101","name":"Std.Format.join","line":100,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.join","doc":""},"Std.Format.isNil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L103-L105","name":"Std.Format.isNil","line":103,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isNil","doc":""},"Std.Format.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L83-L91","name":"Std.Format.isEmpty","line":83,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isEmpty","doc":"Check whether the given format contains no characters. "},"Std.Format.instMonadPrettyFormatStateMState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L295-L301","name":"Std.Format.instMonadPrettyFormatStateMState","line":295,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instMonadPrettyFormatStateMState","doc":""},"Std.Format.instInhabitedSpaceResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L111-L111","name":"Std.Format.instInhabitedSpaceResult","line":111,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedSpaceResult","doc":""},"Std.Format.instInhabitedFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instInhabitedFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedFlattenBehavior","doc":""},"Std.Format.instCoeStringFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L98-L98","name":"Std.Format.instCoeStringFormat","line":98,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instCoeStringFormat","doc":""},"Std.Format.instBEqFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instBEqFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instBEqFlattenBehavior","doc":""},"Std.Format.instAppendFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L97-L97","name":"Std.Format.instAppendFormat","line":97,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instAppendFormat","doc":""},"Std.Format.indentD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L287-L288","name":"Std.Format.indentD","line":287,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.indentD","doc":"Insert a newline and then `f`, all nested by the default indent amount. "},"Std.Format.group":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L74-L75","name":"Std.Format.group","line":74,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.group","doc":"Creates a new flattening group for the given inner format. "},"Std.Format.getWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L13-L13","name":"Std.Format.getWidth","line":13,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getWidth","doc":""},"Std.Format.getUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L15-L15","name":"Std.Format.getUnicode","line":15,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getUnicode","doc":""},"Std.Format.getIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L14-L14","name":"Std.Format.getIndent","line":14,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getIndent","doc":""},"Std.Format.format.width":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L17-L20","name":"Std.Format.format.width","line":17,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.width","doc":""},"Std.Format.format.unicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L22-L25","name":"Std.Format.format.unicode","line":22,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.unicode","doc":""},"Std.Format.format.indent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Format.lean#L27-L30","name":"Std.Format.format.indent","line":27,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.indent","doc":""},"Std.Format.fill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L94-L95","name":"Std.Format.fill","line":94,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.fill","doc":"Alias for a group with `FlattenBehavior` set to `fill`. "},"Std.Format.defWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L280-L280","name":"Std.Format.defWidth","line":280,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defWidth","doc":"Default width of the targeted output pane. "},"Std.Format.defUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L278-L278","name":"Std.Format.defUnicode","line":278,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defUnicode","doc":""},"Std.Format.defIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L277-L277","name":"Std.Format.defIndent","line":277,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defIndent","doc":"Default indentation. "},"Std.Format.bracketFill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L273-L274","name":"Std.Format.bracketFill","line":273,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracketFill","doc":"Same as `bracket` except uses the `fill` flattening behaviour. "},"Std.Format.bracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L261-L262","name":"Std.Format.bracket","line":261,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracket","doc":"Create a format `l ++ f ++ r` with a flatten group.\nFlattenBehaviour is `allOrNone`; for `fill` use `bracketFill`. "},"Std.Format.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L72-L73","name":"Std.Format.append","line":72,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.append","doc":"Concatenation of two Formats. "},"Std.Format.align":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L44-L56","name":"Std.Format.align","line":44,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.align","doc":"`align` tells the formatter to pad with spaces to the current indent,\nor else add a newline if we are already at or past the indent. For example:\n```\nnest 2 <| \".\" ++ align ++ \"a\" ++ line ++ \"b\"\n```\nresults in:\n```\n. a\n b\n```\nIf `force` is true, then it will pad to the indent even if it is in a flattened group.\n"},"Std.Format.MonadPrettyFormat.startTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L162-L162","name":"Std.Format.MonadPrettyFormat.startTag","line":162,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.startTag","doc":"Start a scope tagged with `n`. "},"Std.Format.MonadPrettyFormat.pushOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L158-L158","name":"Std.Format.MonadPrettyFormat.pushOutput","line":158,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushOutput","doc":""},"Std.Format.MonadPrettyFormat.pushNewline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L159-L159","name":"Std.Format.MonadPrettyFormat.pushNewline","line":159,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushNewline","doc":""},"Std.Format.MonadPrettyFormat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L157-L157","name":"Std.Format.MonadPrettyFormat.mk","line":157,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.mk","doc":""},"Std.Format.MonadPrettyFormat.endTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L164-L164","name":"Std.Format.MonadPrettyFormat.endTags","line":164,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.endTags","doc":"Exit the scope of `n`-many opened tags. "},"Std.Format.MonadPrettyFormat.currColumn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L160-L160","name":"Std.Format.MonadPrettyFormat.currColumn","line":160,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.currColumn","doc":""},"Std.Format.MonadPrettyFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Basic.lean#L157-L164","name":"Std.Format.MonadPrettyFormat","line":157,"kind":"class","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat","doc":"A monad in which we can pretty-print `Format` objects. 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canonical quotient map into `Squash α`. "},"Squash.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1593-L1594","name":"Squash.lift","line":1593,"kind":"def","docLink":"./Init/Core.html#Squash.lift","doc":"If `β` is a subsingleton, then a function `α → β` lifts to `Squash α → β`. "},"Squash.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1589-L1590","name":"Squash.ind","line":1589,"kind":"theorem","docLink":"./Init/Core.html#Squash.ind","doc":""},"Squash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1584-L1584","name":"Squash","line":1584,"kind":"def","docLink":"./Init/Core.html#Squash","doc":"`Squash α` is the quotient of `α` by the always true relation.\nIt is empty if `α` is empty, otherwise it is a singleton.\n(Thus it is unconditionally a `Subsingleton`.)\nIt is the \"universal `Subsingleton`\" mapped from `α`.\n\nIt is similar to `Nonempty α`, which has the same properties, but unlike\n`Nonempty` this is a `Type u`, that is, it is \"data\", and the compiler\nrepresents an element of `Squash α` the same as `α` itself\n(as compared to `Nonempty α`, whose elements are represented by a dummy value).\n\n`Squash.lift` will extract a value in any subsingleton `β` from a function on `α`,\nwhile `Nonempty.rec` can only do the same when `β` is a proposition.\n"},"SizeOf.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L28-L28","name":"SizeOf.sizeOf","line":28,"kind":"def","docLink":"./Init/SizeOf.html#SizeOf.sizeOf","doc":"The \"size\" of an element, a natural number which decreases on fields of\neach inductive type. "},"SizeOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L25-L25","name":"SizeOf.mk","line":25,"kind":"ctor","docLink":"./Init/SizeOf.html#SizeOf.mk","doc":""},"SizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L25-L28","name":"SizeOf","line":25,"kind":"class","docLink":"./Init/SizeOf.html#SizeOf","doc":"`SizeOf` is a typeclass automatically derived for every inductive type,\nwhich equips the type with a \"size\" function to `Nat`.\nThe default instance defines each constructor to be `1` plus the sum of the\nsizes of all the constructor fields.\n\nThis is used for proofs by well-founded induction, since every field of the\nconstructor has a smaller size than the constructor itself,\nand in many cases this will suffice to do the proof that a recursive function\nis only called on smaller values.\nIf the default proof strategy fails, it is recommended to supply a custom\nsize measure using the `termination_by` argument on the function definition.\n"},"Sigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L144-L144","name":"Sigma.snd","line":144,"kind":"def","docLink":"./Init/Core.html#Sigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"Sigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L140-L140","name":"Sigma.mk","line":140,"kind":"ctor","docLink":"./Init/Core.html#Sigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : Sigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"Sigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L142-L142","name":"Sigma.fst","line":142,"kind":"def","docLink":"./Init/Core.html#Sigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"Sigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L136-L144","name":"Sigma","line":136,"kind":"structure","docLink":"./Init/Core.html#Sigma","doc":"`Sigma β`, also denoted `Σ a : α, β a` or `(a : α) × β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt is sometimes known as the dependent sum type, since it is the type level version\nof an indexed summation.\n"},"ShiftRight.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1362-L1362","name":"ShiftRight.shiftRight","line":1362,"kind":"def","docLink":"./Init/Prelude.html#ShiftRight.shiftRight","doc":"The implementation of `a >>> b : α`. See `HShiftRight`. "},"ShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1360-L1360","name":"ShiftRight.mk","line":1360,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftRight.mk","doc":""},"ShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1360-L1362","name":"ShiftRight","line":1360,"kind":"class","docLink":"./Init/Prelude.html#ShiftRight","doc":"The homogeneous version of `HShiftRight`: `a >>> b : α` where `a b : α`. "},"ShiftLeft.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1357-L1357","name":"ShiftLeft.shiftLeft","line":1357,"kind":"def","docLink":"./Init/Prelude.html#ShiftLeft.shiftLeft","doc":"The implementation of `a <<< b : α`. See `HShiftLeft`. "},"ShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1355-L1355","name":"ShiftLeft.mk","line":1355,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftLeft.mk","doc":""},"ShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1355-L1357","name":"ShiftLeft","line":1355,"kind":"class","docLink":"./Init/Prelude.html#ShiftLeft","doc":"The homogeneous version of `HShiftLeft`: `a <<< b : α` where `a b : α`. "},"ShareCommonT.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L97-L98","name":"ShareCommonT.withShareCommon","line":97,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.withShareCommon","doc":""},"ShareCommonT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L103-L103","name":"ShareCommonT.run","line":103,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.run","doc":""},"ShareCommonT.monadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L100-L101","name":"ShareCommonT.monadShareCommon","line":100,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommonT.monadShareCommon","doc":""},"ShareCommonT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L94-L94","name":"ShareCommonT","line":94,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT","doc":""},"ShareCommonM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L104-L104","name":"ShareCommonM.run","line":104,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM.run","doc":""},"ShareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L95-L95","name":"ShareCommonM","line":95,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM","doc":""},"ShareCommon.mkStateImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L77-L77","name":"ShareCommon.mkStateImpl","line":77,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.mkStateImpl","doc":""},"ShareCommon.instNonemptyStateFactory":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L35-L35","name":"ShareCommon.instNonemptyStateFactory","line":35,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyStateFactory","doc":""},"ShareCommon.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L75-L75","name":"ShareCommon.instNonemptyState","line":75,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyState","doc":""},"ShareCommon.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L79-L79","name":"ShareCommon.instInhabitedState","line":79,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instInhabitedState","doc":""},"ShareCommon.StatePointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L73-L73","name":"ShareCommon.StatePointed","line":73,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StatePointed","doc":"Internally `State` is implemented as a pair `ObjectMap` and `ObjectSet` "},"ShareCommon.StateFactoryPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L33-L33","name":"ShareCommon.StateFactoryPointed","line":33,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryPointed","doc":""},"ShareCommon.StateFactoryImpl.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L31-L31","name":"ShareCommon.StateFactoryImpl.setInsert","line":31,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setInsert","doc":""},"ShareCommon.StateFactoryImpl.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L30-L30","name":"ShareCommon.StateFactoryImpl.setFind?","line":30,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setFind?","doc":""},"ShareCommon.StateFactoryImpl.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L27-L27","name":"ShareCommon.StateFactoryImpl.mkState","line":27,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mkState","doc":""},"ShareCommon.StateFactoryImpl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryImpl.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mk","doc":""},"ShareCommon.StateFactoryImpl.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L29-L29","name":"ShareCommon.StateFactoryImpl.mapInsert","line":29,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapInsert","doc":""},"ShareCommon.StateFactoryImpl.mapFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L28-L28","name":"ShareCommon.StateFactoryImpl.mapFind?","line":28,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapFind?","doc":""},"ShareCommon.StateFactoryImpl.Set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Set","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Set","doc":""},"ShareCommon.StateFactoryImpl.Map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Map","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Map","doc":""},"ShareCommon.StateFactoryImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L25-L31","name":"ShareCommon.StateFactoryImpl","line":25,"kind":"structure","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl","doc":""},"ShareCommon.StateFactoryBuilder.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L51-L51","name":"ShareCommon.StateFactoryBuilder.setInsert","line":51,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setInsert","doc":""},"ShareCommon.StateFactoryBuilder.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L50-L50","name":"ShareCommon.StateFactoryBuilder.setFind?","line":50,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setFind?","doc":""},"ShareCommon.StateFactoryBuilder.mkSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L49-L49","name":"ShareCommon.StateFactoryBuilder.mkSet","line":49,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkSet","doc":""},"ShareCommon.StateFactoryBuilder.mkMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L45-L45","name":"ShareCommon.StateFactoryBuilder.mkMap","line":45,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkMap","doc":""},"ShareCommon.StateFactoryBuilder.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryBuilder.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mk","doc":""},"ShareCommon.StateFactoryBuilder.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L47-L47","nam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≈ y` is the distinguished equivalence relation of a setoid. "},"Setoid.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1081-L1081","name":"Setoid.mk","line":1081,"kind":"ctor","docLink":"./Init/Core.html#Setoid.mk","doc":""},"Setoid.iseqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1085-L1085","name":"Setoid.iseqv","line":1085,"kind":"def","docLink":"./Init/Core.html#Setoid.iseqv","doc":"The relation `x ≈ y` is an equivalence relation. "},"Setoid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1081-L1085","name":"Setoid","line":1081,"kind":"class","docLink":"./Init/Core.html#Setoid","doc":"A setoid is a type with a distinguished equivalence relation, denoted `≈`.\nThis is mainly used as input to the `Quotient` type constructor.\n"},"SeqRight.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2716-L2716","name":"SeqRight.seqRight","line":2716,"kind":"def","docLink":"./Init/Prelude.html#SeqRight.seqRight","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2710-L2710","name":"SeqRight.mk","line":2710,"kind":"ctor","docLink":"./Init/Prelude.html#SeqRight.mk","doc":""},"SeqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2710-L2716","name":"SeqRight","line":2710,"kind":"class","docLink":"./Init/Prelude.html#SeqRight","doc":"The typeclass which supplies the `*>` \"seqRight\" function. See `Applicative`. "},"SeqLeft.seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2707-L2707","name":"SeqLeft.seqLeft","line":2707,"kind":"def","docLink":"./Init/Prelude.html#SeqLeft.seqLeft","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2701-L2701","name":"SeqLeft.mk","line":2701,"kind":"ctor","docLink":"./Init/Prelude.html#SeqLeft.mk","doc":""},"SeqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2701-L2707","name":"SeqLeft","line":2701,"kind":"class","docLink":"./Init/Prelude.html#SeqLeft","doc":"The typeclass which supplies the `<*` \"seqLeft\" function. See `Applicative`. "},"Seq.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2698-L2698","name":"Seq.seq","line":2698,"kind":"def","docLink":"./Init/Prelude.html#Seq.seq","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"Seq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2691-L2691","name":"Seq.mk","line":2691,"kind":"ctor","docLink":"./Init/Prelude.html#Seq.mk","doc":""},"Seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2691-L2698","name":"Seq","line":2691,"kind":"class","docLink":"./Init/Prelude.html#Seq","doc":"The typeclass which supplies the `<*>` \"seq\" function. See `Applicative`. "},"STWorld.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L20-L20","name":"STWorld.mk","line":20,"kind":"ctor","docLink":"./Init/System/ST.html#STWorld.mk","doc":""},"STWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L20-L20","name":"STWorld","line":20,"kind":"class","docLink":"./Init/System/ST.html#STWorld","doc":""},"ST.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L102-L102","name":"ST.mkRef","line":102,"kind":"def","docLink":"./Init/System/ST.html#ST.mkRef","doc":""},"ST.instNonemptyRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L52-L53","name":"ST.instNonemptyRef","line":52,"kind":"instance","docLink":"./Init/System/ST.html#ST.instNonemptyRef","doc":""},"ST.RefPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/ST.lean#L46-L46","name":"ST.RefPointed","line":46,"kind":"opaque","docLink":"./Init/System/ST.html#ST.RefPointed","doc":"References 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`UserType` is a type of user-defined values in `SSA` programs.\nThe main objective of `UserType` is to be able to have decidability\nproperties, like decidable equality, for the restricted set of types\nin the user-defined semantics, since Lean's `Type` does not have these\nproperties. 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is semantically a function `Val → (Val → Val) → Val`\nfor every operation, produce a result `Val` given the\ninput variable value (⟦val⟧ : Val)\nand input region value (⟦rgn⟧ : Val → Val) 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"},"Repr.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L17-L17","name":"Repr.reprPrec","line":17,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.reprPrec","doc":""},"Repr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L16-L16","name":"Repr.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Repr.html#Repr.mk","doc":""},"Repr.addAppParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L46-L50","name":"Repr.addAppParen","line":46,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.addAppParen","doc":""},"Repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L16-L17","name":"Repr","line":16,"kind":"class","docLink":"./Init/Data/Repr.html#Repr","doc":""},"ReaderT.tryFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L35-L36","name":"ReaderT.tryFinally","line":35,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.tryFinally","doc":""},"ReaderT.run_seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L206-L207","name":"ReaderT.run_seqRight","line":206,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqRight","doc":""},"ReaderT.run_seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L209-L210","name":"ReaderT.run_seqLeft","line":209,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqLeft","doc":""},"ReaderT.run_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L203-L204","name":"ReaderT.run_seq","line":203,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seq","doc":""},"ReaderT.run_read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L201-L201","name":"ReaderT.run_read","line":201,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_read","doc":""},"ReaderT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L184-L184","name":"ReaderT.run_pure","line":184,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_pure","doc":""},"ReaderT.run_monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L198-L199","name":"ReaderT.run_monadMap","line":198,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadMap","doc":""},"ReaderT.run_monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L195-L196","name":"ReaderT.run_monadLift","line":195,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadLift","doc":""},"ReaderT.run_mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L189-L190","name":"ReaderT.run_mapConst","line":189,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_mapConst","doc":""},"ReaderT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L192-L193","name":"ReaderT.run_map","line":192,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_map","doc":""},"ReaderT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L186-L187","name":"ReaderT.run_bind","line":186,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_bind","doc":""},"ReaderT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2945-L2946","name":"ReaderT.run","line":2945,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.run","doc":"If `x : ReaderT ρ m α` and `r : ρ`, then `x.run r : ρ` runs the monad with the\ngiven reader state.\n"},"ReaderT.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2968-L2969","name":"ReaderT.read","line":2968,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.read","doc":"`(← read) : ρ` gets the read-only state of a `ReaderT ρ`. "},"ReaderT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2973-L2974","name":"ReaderT.pure","line":2973,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.pure","doc":"The `pure` operation of the `ReaderT` monad. "},"ReaderT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L16-L17","name":"ReaderT.orElse","line":16,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.orElse","doc":""},"ReaderT.instMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2993-L2994","name":"ReaderT.instMonadReaderT","line":2993,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadReaderT","doc":""},"ReaderT.instMonadLiftReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2953-L2954","name":"ReaderT.instMonadLiftReaderT","line":2953,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadLiftReaderT","doc":""},"ReaderT.instMonadFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2996-L2997","name":"ReaderT.instMonadFunctorReaderT","line":2996,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadFunctorReaderT","doc":""},"ReaderT.instMonadExceptOfReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2957-L2959","name":"ReaderT.instMonadExceptOfReaderT","line":2957,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadExceptOfReaderT","doc":""},"ReaderT.instLawfulMonadReaderTInstMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L225-L229","name":"ReaderT.instLawfulMonadReaderTInstMonadReaderT","line":225,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulMonadReaderTInstMonadReaderT","doc":""},"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L212-L215","name":"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","line":212,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","doc":""},"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L217-L223","name":"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","line":217,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","doc":""},"ReaderT.instFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2982-L2984","name":"ReaderT.instFunctorReaderT","line":2982,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instFunctorReaderT","doc":""},"ReaderT.instApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2987-L2991","name":"ReaderT.instApplicativeReaderT","line":2987,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instApplicativeReaderT","doc":""},"ReaderT.instAlternativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L23-L25","name":"ReaderT.instAlternativeReaderT","line":23,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.instAlternativeReaderT","doc":""},"ReaderT.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L20-L21","name":"ReaderT.failure","line":20,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.failure","doc":""},"ReaderT.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L180-L182","name":"ReaderT.ext","line":180,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.ext","doc":""},"ReaderT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2978-L2979","name":"ReaderT.bind","line":2978,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.bind","doc":"The `bind` operation of the `ReaderT` monad. "},"ReaderT.adapt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3004-L3005","name":"ReaderT.adapt","line":3004,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.adapt","doc":"`adapt (f : ρ' → ρ)` precomposes function `f` on the reader state of a\n`ReaderT ρ`, yielding a `ReaderT ρ'`.\n"},"ReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2934-L2935","name":"ReaderT","line":2934,"kind":"def","docLink":"./Init/Prelude.html#ReaderT","doc":"An implementation of Haskell's [`ReaderT`]. This is a monad transformer which\nequips a monad with additional read-only state, of type `ρ`.\n\n [`ReaderT`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Reader.html#t:ReaderT\n"},"ReaderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Reader.lean#L38-L38","name":"ReaderM","line":38,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderM","doc":""},"RandomGen.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L29-L29","name":"RandomGen.split","line":29,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.split","doc":"The 'split' operation allows one to obtain two distinct random number\ngenerators. This is very useful in functional programs (for example, when\npassing a random number generator down to recursive calls). "},"RandomGen.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L20-L20","name":"RandomGen.range","line":20,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.range","doc":"`range` returns the range of values returned by\nthe generator. "},"RandomGen.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L24-L24","name":"RandomGen.next","line":24,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.next","doc":"`next` operation returns a natural number that is uniformly distributed\n the range returned by `range` (including both end points),\nand a new generator. "},"RandomGen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L17-L17","name":"RandomGen.mk","line":17,"kind":"ctor","docLink":"./Init/Data/Random.html#RandomGen.mk","doc":""},"RandomGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L17-L29","name":"RandomGen","line":17,"kind":"class","docLink":"./Init/Data/Random.html#RandomGen","doc":"Interface for random number generators. "},"Quotient.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1344-L1345","name":"Quotient.sound","line":1344,"kind":"def","docLink":"./Init/Core.html#Quotient.sound","doc":"The analogue of `Quot.sound`: If `a` and `b` are related by the equivalence relation,\nthen they have equal equivalence classes.\n"},"Quotient.recOnSubsingleton₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1511-L1524","name":"Quotient.recOnSubsingleton₂","line":1511,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1401-L1406","name":"Quotient.recOnSubsingleton","line":1401,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton","doc":"The analogue of `Quot.recOnSubsingleton` for `Quotient`. See `Quot.recOnSubsingleton`. "},"Quotient.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1392-L1397","name":"Quotient.recOn","line":1392,"kind":"def","docLink":"./Init/Core.html#Quotient.recOn","doc":"The analogue of `Quot.recOn` for `Quotient`. See `Quot.recOn`. "},"Quotient.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1383-L1388","name":"Quotient.rec","line":1383,"kind":"def","docLink":"./Init/Core.html#Quotient.rec","doc":"The analogue of `Quot.rec` for `Quotient`. See `Quot.rec`. "},"Quotient.mk'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1337-L1338","name":"Quotient.mk'","line":1337,"kind":"def","docLink":"./Init/Core.html#Quotient.mk'","doc":"The canonical quotient map into a `Quotient`.\n(This synthesizes the setoid by typeclass inference.)\n"},"Quotient.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1330-L1331","name":"Quotient.mk","line":1330,"kind":"def","docLink":"./Init/Core.html#Quotient.mk","doc":"The canonical quotient map into a `Quotient`. "},"Quotient.lift₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1424-L1432","name":"Quotient.lift₂","line":1424,"kind":"def","docLink":"./Init/Core.html#Quotient.lift₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1435-L1441","name":"Quotient.liftOn₂","line":1435,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1362-L1363","name":"Quotient.liftOn","line":1362,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn","doc":"The analogue of `Quot.liftOn`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift (mk a) f h = f a`.\n"},"Quotient.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1351-L1352","name":"Quotient.lift","line":1351,"kind":"def","docLink":"./Init/Core.html#Quotient.lift","doc":"The analogue of `Quot.lift`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift f h (mk a) = f a`.\n"},"Quotient.ind₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1444-L1452","name":"Quotient.ind₂","line":1444,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind₂","doc":""},"Quotient.inductionOn₃":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1466-L1477","name":"Quotient.inductionOn₃","line":1466,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₃","doc":""},"Quotient.inductionOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1455-L1463","name":"Quotient.inductionOn₂","line":1455,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₂","doc":""},"Quotient.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1367-L1371","name":"Quotient.inductionOn","line":1367,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn","doc":"The analogue of `Quot.inductionOn`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1355-L1356","name":"Quotient.ind","line":1355,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind","doc":"The analogue of `Quot.ind`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1410-L1415","name":"Quotient.hrecOn","line":1410,"kind":"def","docLink":"./Init/Core.html#Quotient.hrecOn","doc":"The analogue of `Quot.hrecOn` for `Quotient`. See `Quot.hrecOn`. "},"Quotient.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1373-L1374","name":"Quotient.exists_rep","line":1373,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exists_rep","doc":""},"Quotient.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1499-L1500","name":"Quotient.exact","line":1499,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exact","doc":""},"Quotient":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1323-L1324","name":"Quotient","line":1323,"kind":"def","docLink":"./Init/Core.html#Quotient","doc":"`Quotient α s` is the same as `Quot α r`, but it is specialized to a setoid `s`\n(that is, an equivalence relation) instead of an arbitrary relation.\nPrefer `Quotient` over `Quot` if your relation is actually an equivalence relation.\n"},"Quot.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1209-L1209","name":"Quot.sound","line":1209,"kind":"axiom","docLink":"./Init/Core.html#Quot.sound","doc":"The **quotient axiom**, or at least the nontrivial part of the quotient\naxiomatization. Quotient types are introduced by the `init_quot` command\nin `Init.Prelude` which introduces the axioms:\n\n```\nopaque Quot {α : Sort u} (r : α → α → Prop) : Sort u\n\nopaque Quot.mk {α : Sort u} (r : α → α → Prop) (a : α) : Quot r\n\nopaque Quot.lift {α : Sort u} {r : α → α → Prop} {β : Sort v} (f : α → β) :\n (∀ a b : α, r a b → f a = f b) → Quot r → β\n\nopaque Quot.ind {α : Sort u} {r : α → α → Prop} {β : Quot r → Prop} :\n (∀ a : α, β (Quot.mk r a)) → ∀ q : Quot r, β q\n```\nAll of these axioms are true if we assume `Quot α r = α` and `Quot.mk` and\n`Quot.lift` are identity functions, so they do not add much. However this axiom\ncannot be explained in that way (it is false for that interpretation), so the\nreal power of quotient types come from this axiom.\n\nIt says that the quotient by `r` maps elements which are related by `r` to equal\nvalues in the quotient. Together with `Quot.lift` which says that functions\nwhich respect `r` can be lifted to functions on the quotient, we can deduce that\n`Quot α r` exactly consists of the equivalence classes with respect to `r`.\n\nIt is important to note that `r` need not be an equivalence relation in this axiom.\nWhen `r` is not an equivalence relation, we are actually taking a quotient with\nrespect to the equivalence relation generated by `r`.\n"},"Quot.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1291-L1298","name":"Quot.recOnSubsingleton","line":1291,"kind":"def","docLink":"./Init/Core.html#Quot.recOnSubsingleton","doc":"Dependent induction principle for a quotient, when the target type is a `Subsingleton`.\nIn this case the quotient's side condition is trivial so any function can be lifted.\n"},"Quot.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1280-L1285","name":"Quot.recOn","line":1280,"kind":"def","docLink":"./Init/Core.html#Quot.recOn","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1274-L1278","name":"Quot.rec","line":1274,"kind":"def","docLink":"./Init/Core.html#Quot.rec","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1228-L1230","name":"Quot.liftOn","line":1228,"kind":"def","docLink":"./Init/Core.html#Quot.liftOn","doc":"`Quot.liftOn q f h` is the same as `Quot.lift f h q`. It just reorders\nthe argument `q : Quot r` to be first.\n"},"Quot.liftIndepPr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1258-L1264","name":"Quot.liftIndepPr1","line":1258,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftIndepPr1","doc":""},"Quot.liftBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1211-L1216","name":"Quot.liftBeta","line":1211,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftBeta","doc":""},"Quot.lcInv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L429-L429","name":"Quot.lcInv","line":429,"kind":"axiom","docLink":"./Init/Prelude.html#Quot.lcInv","doc":"Unsafe auxiliary constant used by the compiler to erase `Quot.lift`.\n"},"Quot.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1233-L1237","name":"Quot.inductionOn","line":1233,"kind":"theorem","docLink":"./Init/Core.html#Quot.inductionOn","doc":""},"Quot.indepCoherent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1252-L1256","name":"Quot.indepCoherent","line":1252,"kind":"theorem","docLink":"./Init/Core.html#Quot.indepCoherent","doc":""},"Quot.indep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1249-L1250","name":"Quot.indep","line":1249,"kind":"def","docLink":"./Init/Core.html#Quot.indep","doc":"Auxiliary definition for `Quot.rec`. "},"Quot.indBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1218-L1222","name":"Quot.indBeta","line":1218,"kind":"theorem","docLink":"./Init/Core.html#Quot.indBeta","doc":""},"Quot.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1305-L1312","name":"Quot.hrecOn","line":1305,"kind":"def","docLink":"./Init/Core.html#Quot.hrecOn","doc":"Heterogeneous dependent recursion principle for a quotient.\nThis may be easier to work with since it uses `HEq` instead of\nan `Eq.ndrec` in the hypothesis.\n"},"Quot.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1239-L1240","name":"Quot.exists_rep","line":1239,"kind":"theorem","docLink":"./Init/Core.html#Quot.exists_rep","doc":""},"Pure.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2670-L2670","name":"Pure.pure","line":2670,"kind":"def","docLink":"./Init/Prelude.html#Pure.pure","doc":"If `a : α`, then `pure a : f α` represents a monadic action that does\nnothing and returns `a`. "},"Pure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2667-L2667","name":"Pure.mk","line":2667,"kind":"ctor","docLink":"./Init/Prelude.html#Pure.mk","doc":""},"Pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2667-L2670","name":"Pure","line":2667,"kind":"class","docLink":"./Init/Prelude.html#Pure","doc":"The typeclass which supplies the `pure` function. See `Monad`. "},"Prod.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L470-L470","name":"Prod.snd","line":470,"kind":"def","docLink":"./Init/Prelude.html#Prod.snd","doc":"The second projection out of a pair. if `p : α × β` then `p.2 : β`. "},"Prod.rprod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L250-L255","name":"Prod.rprod","line":250,"kind":"def","docLink":"./Init/WF.html#Prod.rprod","doc":""},"Prod.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L92-L93","name":"Prod.repr","line":92,"kind":"def","docLink":"./Init/Data/Repr.html#Prod.repr","doc":""},"Prod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L466-L466","name":"Prod.mk","line":466,"kind":"ctor","docLink":"./Init/Prelude.html#Prod.mk","doc":""},"Prod.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1043-L1045","name":"Prod.map","line":1043,"kind":"def","docLink":"./Init/Core.html#Prod.map","doc":"`Prod.map f g : α₁ × β₁ → α₂ × β₂` maps across a pair\nby applying `f` to the first component and `g` to the second.\n"},"Prod.lexLt_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1034-L1035","name":"Prod.lexLt_def","line":1034,"kind":"theorem","docLink":"./Init/Core.html#Prod.lexLt_def","doc":""},"Prod.lexLtDec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1028-L1032","name":"Prod.lexLtDec","line":1028,"kind":"instance","docLink":"./Init/Core.html#Prod.lexLtDec","doc":""},"Prod.lexLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1025-L1026","name":"Prod.lexLt","line":1025,"kind":"def","docLink":"./Init/Core.html#Prod.lexLt","doc":"Lexicographical order for products "},"Prod.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L225-L234","name":"Prod.lexAccessible","line":225,"kind":"def","docLink":"./Init/WF.html#Prod.lexAccessible","doc":""},"Prod.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L237-L239","name":"Prod.lex","line":237,"kind":"def","docLink":"./Init/WF.html#Prod.lex","doc":""},"Prod.instWellFoundedRelationProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L241-L242","name":"Prod.instWellFoundedRelationProd","line":241,"kind":"instance","docLink":"./Init/WF.html#Prod.instWellFoundedRelationProd","doc":""},"Prod.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L468-L468","name":"Prod.fst","line":468,"kind":"def","docLink":"./Init/Prelude.html#Prod.fst","doc":"The first projection out of a pair. if `p : α × β` then `p.1 : α`. "},"Prod.foldI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L776-L777","name":"Prod.foldI","line":776,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.foldI","doc":"`(start, stop).foldI f a` evaluates `f` on all the numbers\nfrom `start` (inclusive) to `stop` (exclusive) in increasing order:\n* `(5, 8).foldI f init = init |> f 5 |> f 6 |> f 7`\n"},"Prod.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1037-L1037","name":"Prod.eta","line":1037,"kind":"theorem","docLink":"./Init/Core.html#Prod.eta","doc":""},"Prod.anyI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L784-L785","name":"Prod.anyI","line":784,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.anyI","doc":"`(start, stop).anyI f a` returns true if `f` is true for some natural number\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 || f 6 || f 7`\n"},"Prod.allI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L792-L793","name":"Prod.allI","line":792,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.allI","doc":"`(start, stop).allI f a` returns true if `f` is true for all natural numbers\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 && f 6 && f 7`\n"},"Prod.RProdSubLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L245-L247","name":"Prod.RProdSubLex","line":245,"kind":"def","docLink":"./Init/WF.html#Prod.RProdSubLex","doc":""},"Prod.RProd.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L217-L217","name":"Prod.RProd.intro","line":217,"kind":"ctor","docLink":"./Init/WF.html#Prod.RProd.intro","doc":""},"Prod.RProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L216-L217","name":"Prod.RProd","line":216,"kind":"inductive","docLink":"./Init/WF.html#Prod.RProd","doc":""},"Prod.Lex.right'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L210-L213","name":"Prod.Lex.right'","line":210,"kind":"def","docLink":"./Init/WF.html#Prod.Lex.right'","doc":""},"Prod.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L207-L207","name":"Prod.Lex.right","line":207,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.right","doc":""},"Prod.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L206-L206","name":"Prod.Lex.left","line":206,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.left","doc":""},"Prod.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L205-L207","name":"Prod.Lex","line":205,"kind":"inductive","docLink":"./Init/WF.html#Prod.Lex","doc":""},"Prod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L466-L470","name":"Prod","line":466,"kind":"structure","docLink":"./Init/Prelude.html#Prod","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"Pow.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1303-L1303","name":"Pow.pow","line":1303,"kind":"def","docLink":"./Init/Prelude.html#Pow.pow","doc":"`a ^ b` computes `a` to the power of `b`. See `HPow`. "},"Pow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1301-L1301","name":"Pow.mk","line":1301,"kind":"ctor","docLink":"./Init/Prelude.html#Pow.mk","doc":""},"Pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1301-L1303","name":"Pow","line":1301,"kind":"class","docLink":"./Init/Prelude.html#Pow","doc":"The homogeneous version of `HPow`: `a ^ b : α` where `a : α`, `b : β`.\n(The right argument is not the same as the left since we often want this even\nin the homogeneous case.)\n"},"Parser.Attr.TypedUserSemantics.regionDom":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"Parser.Attr.TypedUserSemantics.regionCod":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"Parser.Attr.TypedUserSemantics.outUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"Parser.Attr.TypedUserSemantics.eval":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"Parser.Attr.TypedUserSemantics.argUserType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"Parser.Attr.Option.bind":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"Parser.Attr.Bind.bind":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"PUnit.unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L110-L111","name":"PUnit.unit","line":110,"kind":"ctor","docLink":"./Init/Prelude.html#PUnit.unit","doc":"`PUnit.unit : PUnit` is the canonical element of the unit type. "},"PUnit.subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1060-L1061","name":"PUnit.subsingleton","line":1060,"kind":"theorem","docLink":"./Init/Core.html#PUnit.subsingleton","doc":""},"PUnit.eq_punit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1063-L1064","name":"PUnit.eq_punit","line":1063,"kind":"theorem","docLink":"./Init/Core.html#PUnit.eq_punit","doc":""},"PUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L109-L111","name":"PUnit","line":109,"kind":"inductive","docLink":"./Init/Prelude.html#PUnit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nThis is the universe-polymorphic version of `Unit`; it is preferred to use\n`Unit` instead where applicable.\nFor more information about universe levels: [Types as objects](https://leanprover.github.io/theorem_proving_in_lean4/dependent_type_theory.html#types-as-objects)\n"},"PSum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L124-L125","name":"PSum.inr","line":124,"kind":"ctor","docLink":"./Init/Core.html#PSum.inr","doc":"Right injection into the sum type `α ⊕' β`. If `b : β` then `.inr b : α ⊕' β`. "},"PSum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L122-L123","name":"PSum.inl","line":122,"kind":"ctor","docLink":"./Init/Core.html#PSum.inl","doc":"Left injection into the sum type `α ⊕' β`. If `a : α` then `.inl a : α ⊕' β`. "},"PSum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L121-L125","name":"PSum","line":121,"kind":"inductive","docLink":"./Init/Core.html#PSum","doc":"`PSum α β`, or `α ⊕' β`, is the disjoint union of types `α` and `β`.\nIt differs from `α ⊕ β` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `True ⊕' Nat`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSum` is usually only used in automation that constructs sums of arbitrary types.\n"},"PSigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L169-L169","name":"PSigma.snd","line":169,"kind":"def","docLink":"./Init/Core.html#PSigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"PSigma.skipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L342-L344","name":"PSigma.skipLeft","line":342,"kind":"def","docLink":"./Init/WF.html#PSigma.skipLeft","doc":""},"PSigma.revLexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L322-L332","name":"PSigma.revLexAccessible","line":322,"kind":"def","docLink":"./Init/WF.html#PSigma.revLexAccessible","doc":""},"PSigma.revLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L334-L335","name":"PSigma.revLex","line":334,"kind":"def","docLink":"./Init/WF.html#PSigma.revLex","doc":""},"PSigma.mkSkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L346-L347","name":"PSigma.mkSkipLeft","line":346,"kind":"def","docLink":"./Init/WF.html#PSigma.mkSkipLeft","doc":""},"PSigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L165-L165","name":"PSigma.mk","line":165,"kind":"ctor","docLink":"./Init/Core.html#PSigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : PSigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"PSigma.lexNdepWf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L304-L305","name":"PSigma.lexNdepWf","line":304,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdepWf","doc":""},"PSigma.lexNdep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L301-L302","name":"PSigma.lexNdep","line":301,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdep","doc":""},"PSigma.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L277-L286","name":"PSigma.lexAccessible","line":277,"kind":"def","docLink":"./Init/WF.html#PSigma.lexAccessible","doc":""},"PSigma.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L289-L291","name":"PSigma.lex","line":289,"kind":"def","docLink":"./Init/WF.html#PSigma.lex","doc":""},"PSigma.instWellFoundedRelationPSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L293-L294","name":"PSigma.instWellFoundedRelationPSigma","line":293,"kind":"instance","docLink":"./Init/WF.html#PSigma.instWellFoundedRelationPSigma","doc":""},"PSigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L167-L167","name":"PSigma.fst","line":167,"kind":"def","docLink":"./Init/Core.html#PSigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"PSigma.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1052-L1056","name":"PSigma.eta","line":1052,"kind":"theorem","docLink":"./Init/Core.html#PSigma.eta","doc":""},"PSigma.SkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L339-L340","name":"PSigma.SkipLeft","line":339,"kind":"def","docLink":"./Init/WF.html#PSigma.SkipLeft","doc":""},"PSigma.RevLex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L314-L314","name":"PSigma.RevLex.right","line":314,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.right","doc":""},"PSigma.RevLex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L313-L313","name":"PSigma.RevLex.left","line":313,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.left","doc":""},"PSigma.RevLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L312-L314","name":"PSigma.RevLex","line":312,"kind":"inductive","docLink":"./Init/WF.html#PSigma.RevLex","doc":""},"PSigma.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L270-L270","name":"PSigma.Lex.right","line":270,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.right","doc":""},"PSigma.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L269-L269","name":"PSigma.Lex.left","line":269,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.left","doc":""},"PSigma.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L268-L270","name":"PSigma.Lex","line":268,"kind":"inductive","docLink":"./Init/WF.html#PSigma.Lex","doc":""},"PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L161-L169","name":"PSigma","line":161,"kind":"structure","docLink":"./Init/Core.html#PSigma","doc":"`PSigma β`, also denoted `Σ' a : α, β a` or `(a : α) ×' β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt differs from `Σ a : α, β a` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `(p : Nat) ×' p = p`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSigma` is usually only used in automation that constructs pairs of arbitrary types.\n"},"PProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L482-L482","name":"PProd.snd","line":482,"kind":"def","docLink":"./Init/Prelude.html#PProd.snd","doc":"The second projection out of a pair. if `p : PProd α β` then `p.2 : β`. "},"PProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L478-L478","name":"PProd.mk","line":478,"kind":"ctor","docLink":"./Init/Prelude.html#PProd.mk","doc":""},"PProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L480-L480","name":"PProd.fst","line":480,"kind":"def","docLink":"./Init/Prelude.html#PProd.fst","doc":"The first projection out of a pair. if `p : PProd α β` then `p.1 : α`. "},"PProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L478-L482","name":"PProd","line":478,"kind":"structure","docLink":"./Init/Prelude.html#PProd","doc":"Similar to `Prod`, but `α` and `β` can be propositions.\nWe use this type internally to automatically generate the `brecOn` recursor.\n"},"PNonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L454-L455","name":"PNonScalar.mk","line":454,"kind":"ctor","docLink":"./Init/Core.html#PNonScalar.mk","doc":"You should not use this function "},"PNonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L453-L455","name":"PNonScalar","line":453,"kind":"inductive","docLink":"./Init/Core.html#PNonScalar","doc":"`PNonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n\nThis is the universe-polymorphic version of `PNonScalar`; it is preferred to use\n`NonScalar` instead where applicable.\n"},"PLift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L757-L757","name":"PLift.up_down","line":757,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.up_down","doc":"Bijection between `α` and `PLift α` "},"PLift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L753-L753","name":"PLift.up","line":753,"kind":"ctor","docLink":"./Init/Prelude.html#PLift.up","doc":"Lift a value into `PLift α` "},"PLift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L760-L760","name":"PLift.down_up","line":760,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.down_up","doc":"Bijection between `α` and `PLift α` "},"PLift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L754-L754","name":"PLift.down","line":754,"kind":"def","docLink":"./Init/Prelude.html#PLift.down","doc":"Extract a value from `PLift α` "},"PLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L752-L754","name":"PLift","line":752,"kind":"structure","docLink":"./Init/Prelude.html#PLift","doc":"Universe lifting operation from `Sort u` to `Type u`. "},"PEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L202-L202","name":"PEmpty","line":202,"kind":"inductive","docLink":"./Init/Prelude.html#PEmpty","doc":"The universe-polymorphic empty type. Prefer `Empty` or `False` where\npossible.\n"},"Ordering.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.lt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.lt","doc":""},"Ordering.isLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L74-L77","name":"Ordering.isLE","line":74,"kind":"def","docLink":"./Init/Data/Ord.html#Ordering.isLE","doc":""},"Ordering.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.gt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.gt","doc":""},"Ordering.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.eq","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.eq","doc":""},"Ordering":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L11-L13","name":"Ordering","line":11,"kind":"inductive","docLink":"./Init/Data/Ord.html#Ordering","doc":""},"Ord.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L16-L16","name":"Ord.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ord.mk","doc":""},"Ord.compare":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L17-L17","name":"Ord.compare","line":17,"kind":"def","docLink":"./Init/Data/Ord.html#Ord.compare","doc":""},"Ord":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Ord.lean#L16-L17","name":"Ord","line":16,"kind":"class","docLink":"./Init/Data/Ord.html#Ord","doc":""},"OrOp.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1347-L1347","name":"OrOp.or","line":1347,"kind":"def","docLink":"./Init/Prelude.html#OrOp.or","doc":"The implementation of `a ||| b : α`. See `HOr`. "},"OrOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1345-L1345","name":"OrOp.mk","line":1345,"kind":"ctor","docLink":"./Init/Prelude.html#OrOp.mk","doc":""},"OrOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1345-L1347","name":"OrOp","line":1345,"kind":"class","docLink":"./Init/Prelude.html#OrOp","doc":"The homogeneous version of `HOr`: `a ||| b : α` where `a b : α`.\n(It is called `OrOp` because `Or` is taken for the propositional connective.)\n"},"OrElse.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1317-L1317","name":"OrElse.orElse","line":1317,"kind":"def","docLink":"./Init/Prelude.html#OrElse.orElse","doc":"The implementation of `a <|> b : α`. See `HOrElse`. "},"OrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1315-L1315","name":"OrElse.mk","line":1315,"kind":"ctor","docLink":"./Init/Prelude.html#OrElse.mk","doc":""},"OrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1315-L1317","name":"OrElse","line":1315,"kind":"class","docLink":"./Init/Prelude.html#OrElse","doc":"The homogeneous version of `HOrElse`: `a <|> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"Or.intro_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L526-L527","name":"Or.intro_right","line":526,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_right","doc":"Alias for `Or.inr`. "},"Or.intro_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L522-L523","name":"Or.intro_left","line":522,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_left","doc":"Alias for `Or.inl`. "},"Or.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L518-L519","name":"Or.inr","line":518,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inr","doc":"`Or.inr` is \"right injection\" into an `Or`. If `h : b` then `Or.inr h : a ∨ b`. "},"Or.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L516-L517","name":"Or.inl","line":516,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inl","doc":"`Or.inl` is \"left injection\" into an `Or`. If `h : a` then `Or.inl h : a ∨ b`. "},"Or.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L533-L536","name":"Or.elim","line":533,"kind":"theorem","docLink":"./Init/Prelude.html#Or.elim","doc":"Proof by cases on an `Or`. If `a ∨ b`, and both `a` and `b` imply\nproposition `c`, then `c` is true.\n"},"Or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L515-L519","name":"Or","line":515,"kind":"inductive","docLink":"./Init/Prelude.html#Or","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"OptionT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L62-L64","name":"OptionT.tryCatch","line":62,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.tryCatch","doc":""},"OptionT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L19-L20","name":"OptionT.run","line":19,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.run","doc":""},"OptionT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L35-L36","name":"OptionT.pure","line":35,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.pure","doc":""},"OptionT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L43-L46","name":"OptionT.orElse","line":43,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.orElse","doc":""},"OptionT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L25-L26","name":"OptionT.mk","line":25,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.mk","doc":""},"OptionT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L55-L56","name":"OptionT.lift","line":55,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.lift","doc":""},"OptionT.instMonadOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L39-L41","name":"OptionT.instMonadOptionT","line":39,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadOptionT","doc":""},"OptionT.instMonadLiftOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L58-L58","name":"OptionT.instMonadLiftOptionT","line":58,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadLiftOptionT","doc":""},"OptionT.instMonadFunctorOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L60-L60","name":"OptionT.instMonadFunctorOptionT","line":60,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadFunctorOptionT","doc":""},"OptionT.instMonadExceptOfUnitOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L66-L68","name":"OptionT.instMonadExceptOfUnitOptionT","line":66,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfUnitOptionT","doc":""},"OptionT.instMonadExceptOfOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L70-L72","name":"OptionT.instMonadExceptOfOptionT","line":70,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfOptionT","doc":""},"OptionT.instAlternativeOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L51-L53","name":"OptionT.instAlternativeOptionT","line":51,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instAlternativeOptionT","doc":""},"OptionT.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L48-L49","name":"OptionT.fail","line":48,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.fail","doc":""},"OptionT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L29-L32","name":"OptionT.bind","line":29,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.bind","doc":""},"OptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Option.lean#L15-L16","name":"OptionT","line":15,"kind":"def","docLink":"./Init/Control/Option.html#OptionT","doc":""},"Option.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L110-L113","name":"Option.tryCatch","line":110,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.tryCatch","doc":""},"Option.toMonad":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L13-L15","name":"Option.toMonad","line":13,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toMonad","doc":""},"Option.toLOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/LOption.lean#L24-L26","name":"Option.toLOption","line":24,"kind":"def","docLink":"./Lean/Data/LOption.html#Option.toLOption","doc":""},"Option.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L17-L19","name":"Option.toBool","line":17,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toBool","doc":""},"Option.some_eq_pure":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"Option.some":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2142-L2143","name":"Option.some","line":2142,"kind":"ctor","docLink":"./Init/Prelude.html#Option.some","doc":"Some value of type `α`. "},"Option.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L67-L69","name":"Option.repr","line":67,"kind":"def","docLink":"./Init/Data/Repr.html#Option.repr","doc":""},"Option.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L58-L60","name":"Option.orElse","line":58,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.orElse","doc":""},"Option.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2140-L2141","name":"Option.none","line":2140,"kind":"ctor","docLink":"./Init/Prelude.html#Option.none","doc":"No value. "},"Option.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L78-L82","name":"Option.merge","line":78,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.merge","doc":"Take a pair of options and if they are both `some`, apply the given fn to produce an output.\nOtherwise act like `orElse`. "},"Option.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L43-L44","name":"Option.map_id","line":43,"kind":"theorem","docLink":"./Init/Data/Option/Basic.html#Option.map_id","doc":""},"Option.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L37-L41","name":"Option.mapM","line":37,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.mapM","doc":""},"Option.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2167-L2169","name":"Option.map","line":2167,"kind":"def","docLink":"./Init/Prelude.html#Option.map","doc":"Map a function over an `Option` by applying the function to the contained\nvalue if present.\n"},"Option.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L65-L68","name":"Option.lt","line":65,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.lt","doc":""},"Option.isSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L21-L23","name":"Option.isSome","line":21,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isSome","doc":""},"Option.isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L25-L27","name":"Option.isNone","line":25,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isNone","doc":""},"Option.isEqSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L29-L31","name":"Option.isEqSome","line":29,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isEqSome","doc":""},"Option.instOrElseOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L62-L63","name":"Option.instOrElseOption","line":62,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instOrElseOption","doc":""},"Option.instDecidableRelOptionLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L70-L74","name":"Option.instDecidableRelOptionLt","line":70,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instDecidableRelOptionLt","doc":""},"Option.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2159-L2161","name":"Option.getD","line":2159,"kind":"def","docLink":"./Init/Prelude.html#Option.getD","doc":"Get with default. If `opt : Option α` and `dflt : α`, then `opt.getD dflt`\nreturns `a` if `opt = some a` and `dflt` otherwise.\n\nThis function is `@[macro_inline]`, so `dflt` will not be evaluated unless\n`opt` turns out to be `none`.\n"},"Option.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/BasicAux.lean#L14-L16","name":"Option.get!","line":14,"kind":"def","docLink":"./Init/Data/Option/BasicAux.html#Option.get!","doc":""},"Option.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Instances.lean#L26-L28","name":"Option.format","line":26,"kind":"def","docLink":"./Init/Data/Format/Instances.html#Option.format","doc":""},"Option.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L46-L48","name":"Option.filter","line":46,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.filter","doc":""},"Option.eq_of_eq_some":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Instances.lean#L11-L15","name":"Option.eq_of_eq_some","line":11,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_of_eq_some","doc":""},"Option.eq_none_of_isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Instances.lean#L17-L18","name":"Option.eq_none_of_isNone","line":17,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_none_of_isNone","doc":""},"Option.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L33-L35","name":"Option.bind","line":33,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.bind","doc":""},"Option.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L54-L56","name":"Option.any","line":54,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.any","doc":""},"Option.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Option/Basic.lean#L50-L52","name":"Option.all","line":50,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.all","doc":""},"Option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2139-L2143","name":"Option","line":2139,"kind":"inductive","docLink":"./Init/Prelude.html#Option","doc":"`Option α` is the type of values which are either `some a` for some `a : α`,\nor `none`. In functional programming languages, this type is used to represent\nthe possibility of failure, or sometimes nullability.\n\nFor example, the function `HashMap.find? : HashMap α β → α → Option β` looks up\na specified key `a : α` inside the map. Because we do not know in advance\nwhether the key is actually in the map, the return type is `Option β`, where\n`none` means the value was not in the map, and `some b` means that the value\nwas found and `b` is the value retrieved.\n\nTo extract a value from an `Option α`, we use pattern matching:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n match x with\n | some a => some (f a)\n | none => none\n```\nWe can also use `if let` to pattern match on `Option` and get the value\nin the branch:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n if let some a := x then\n some (f a)\n else\n none\n```\n"},"Op.sub":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"Op.map2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"Op.fill2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"Op.extract2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"Op.constTensor":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"Op.constIx":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"Op.constInt":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"Op.add":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"Op":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"OfScientific.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L17-L17","name":"OfScientific.ofScientific","line":17,"kind":"def","docLink":"./Init/Data/OfScientific.html#OfScientific.ofScientific","doc":""},"OfScientific.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L16-L16","name":"OfScientific.mk","line":16,"kind":"ctor","docLink":"./Init/Data/OfScientific.html#OfScientific.mk","doc":""},"OfScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L16-L17","name":"OfScientific","line":16,"kind":"class","docLink":"./Init/Data/OfScientific.html#OfScientific","doc":"For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).\nExamples:\n- `OfScientific.ofScientific 123 true 2` represents `1.23`\n- `OfScientific.ofScientific 121 false 100` represents `121e100`\n"},"OfNat.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1066-L1066","name":"OfNat.ofNat","line":1066,"kind":"def","docLink":"./Init/Prelude.html#OfNat.ofNat","doc":"The `OfNat.ofNat` function is automatically inserted by the parser when\nthe user writes a numeric literal like `1 : α`. Implementations of this\ntypeclass can therefore customize the behavior of `n : α` based on `n` and\n`α`. "},"OfNat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1061-L1061","name":"OfNat.mk","line":1061,"kind":"ctor","docLink":"./Init/Prelude.html#OfNat.mk","doc":""},"OfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1061-L1066","name":"OfNat","line":1061,"kind":"class","docLink":"./Init/Prelude.html#OfNat","doc":"The class `OfNat α n` powers the numeric literal parser. If you write\n`37 : α`, lean will attempt to synthesize `OfNat α 37`, and will generate\nthe term `(OfNat.ofNat 37 : α)`.\n\nThere is a bit of infinite regress here since the desugaring apparently\nstill contains a literal `37` in it. The type of expressions contains a\nprimitive constructor for \"raw natural number literals\", which you can directly\naccess using the macro `nat_lit 37`. Raw number literals are always of type `Nat`.\nSo it would be more correct to say that lean looks for an instance of\n`OfNat α (nat_lit 37)`, and it generates the term `(OfNat.ofNat (nat_lit 37) : α)`.\n"},"Not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L211-L211","name":"Not","line":211,"kind":"def","docLink":"./Init/Prelude.html#Not","doc":"`Not p`, or `¬p`, is the negation of `p`. It is defined to be `p → False`,\nso if your goal is `¬p` you can use `intro h` to turn the goal into\n`h : p ⊢ False`, and if you have `hn : ¬p` and `h : p` then `hn h : False`\nand `(hn h).elim` will prove anything.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"NonemptyType.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L771-L772","name":"NonemptyType.type","line":771,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType.type","doc":"The underlying type of a `NonemptyType`. "},"NonemptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L768-L768","name":"NonemptyType","line":768,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType","doc":"`NonemptyType.{u}` is the type of nonempty types in universe `u`.\nIt is mainly used in constant declarations where we wish to introduce a type\nand simultaneously assert that it is nonempty, but otherwise make the type\nopaque.\n"},"Nonempty.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L687-L688","name":"Nonempty.intro","line":687,"kind":"ctor","docLink":"./Init/Prelude.html#Nonempty.intro","doc":"If `val : α`, then `α` is nonempty. "},"Nonempty.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L720-L722","name":"Nonempty.elim","line":720,"kind":"def","docLink":"./Init/Prelude.html#Nonempty.elim","doc":"The elimination principle for `Nonempty α`. If `Nonempty α`, and we can\nprove `p` given any element `x : α`, then `p` holds. Note that it is essential\nthat `p` is a `Prop` here; the version with `p` being a `Sort u` is equivalent\nto `Classical.choice`.\n"},"Nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L686-L688","name":"Nonempty","line":686,"kind":"class","docLink":"./Init/Prelude.html#Nonempty","doc":"`Nonempty α` is a typeclass that says that `α` is not an empty type,\nthat is, there exists an element in the type. It differs from `Inhabited α`\nin that `Nonempty α` is a `Prop`, which means that it does not actually carry\nan element of `α`, only a proof that *there exists* such an element.\nGiven `Nonempty α`, you can construct an element of `α` *nonconstructively*\nusing `Classical.choice`.\n"},"NonScalar.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L442-L442","name":"NonScalar.val","line":442,"kind":"def","docLink":"./Init/Core.html#NonScalar.val","doc":"You should not use this function "},"NonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L441-L441","name":"NonScalar.mk","line":441,"kind":"ctor","docLink":"./Init/Core.html#NonScalar.mk","doc":"You should not use this function "},"NonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L440-L442","name":"NonScalar","line":440,"kind":"structure","docLink":"./Init/Core.html#NonScalar","doc":"`NonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n"},"Neg.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1284-L1284","name":"Neg.neg","line":1284,"kind":"def","docLink":"./Init/Prelude.html#Neg.neg","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"Neg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1281-L1281","name":"Neg.mk","line":1281,"kind":"ctor","docLink":"./Init/Prelude.html#Neg.mk","doc":""},"Neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1281-L1284","name":"Neg","line":1281,"kind":"class","docLink":"./Init/Prelude.html#Neg","doc":"The notation typeclass for negation.\nThis enables the notation `-a : α` where `a : α`.\n"},"Ne.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L575-L576","name":"Ne.symm","line":575,"kind":"theorem","docLink":"./Init/Core.html#Ne.symm","doc":""},"Ne.irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L573-L573","name":"Ne.irrefl","line":573,"kind":"theorem","docLink":"./Init/Core.html#Ne.irrefl","doc":""},"Ne.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L569-L569","name":"Ne.intro","line":569,"kind":"theorem","docLink":"./Init/Core.html#Ne.intro","doc":""},"Ne.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L571-L571","name":"Ne.elim","line":571,"kind":"theorem","docLink":"./Init/Core.html#Ne.elim","doc":""},"Ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L560-L561","name":"Ne","line":560,"kind":"def","docLink":"./Init/Core.html#Ne","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"Nat.zero_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L629-L632","name":"Nat.zero_sub","line":629,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_sub","doc":""},"Nat.zero_ne_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L429-L430","name":"Nat.zero_ne_one","line":429,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_ne_one","doc":""},"Nat.zero_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L165-L167","name":"Nat.zero_mul","line":165,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_mul","doc":""},"Nat.zero_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L147-L152","name":"Nat.zero_mod","line":147,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.zero_mod","doc":""},"Nat.zero_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1586-L1587","name":"Nat.zero_lt_succ","line":1586,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_lt_succ","doc":""},"Nat.zero_lt_sub_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L547-L555","name":"Nat.zero_lt_sub_of_lt","line":547,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_sub_of_lt","doc":""},"Nat.zero_lt_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L401-L402","name":"Nat.zero_lt_one","line":401,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_one","doc":""},"Nat.zero_lt_of_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L322-L325","name":"Nat.zero_lt_of_ne_zero","line":322,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_ne_zero","doc":""},"Nat.zero_lt_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L316-L320","name":"Nat.zero_lt_of_lt","line":316,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_lt","doc":""},"Nat.zero_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1578-L1580","name":"Nat.zero_le","line":1578,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_le","doc":""},"Nat.zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L83-L83","name":"Nat.zero_eq","line":83,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_eq","doc":""},"Nat.zero_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L114-L116","name":"Nat.zero_add","line":114,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_add","doc":""},"Nat.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1039-L1041","name":"Nat.zero","line":1039,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.zero","doc":"`Nat.zero`, normally written `0 : Nat`, is the smallest natural number.\nThis is one of the two constructors of `Nat`. "},"Nat.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L38-L38","name":"Nat.xor","line":38,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.xor","doc":""},"Nat.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L292-L292","name":"Nat.toUSize","line":292,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUSize","doc":""},"Nat.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L14-L14","name":"Nat.toUInt8","line":14,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt8","doc":""},"Nat.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L207-L207","name":"Nat.toUInt64","line":207,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt64","doc":""},"Nat.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L155-L155","name":"Nat.toUInt32","line":155,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt32","doc":""},"Nat.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/UInt/Basic.lean#L81-L81","name":"Nat.toUInt16","line":81,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt16","doc":""},"Nat.toSuperscriptString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L162-L163","name":"Nat.toSuperscriptString","line":162,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperscriptString","doc":""},"Nat.toSuperDigitsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L152-L157","name":"Nat.toSuperDigitsAux","line":152,"kind":"opaque","docLink":"./Init/Data/Repr.html#Nat.toSuperDigitsAux","doc":""},"Nat.toSuperDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L159-L160","name":"Nat.toSuperDigits","line":159,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperDigits","doc":""},"Nat.toLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L640-L641","name":"Nat.toLevel","line":640,"kind":"def","docLink":"./Lean/Level.html#Nat.toLevel","doc":""},"Nat.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L55-L56","name":"Nat.toFloat","line":55,"kind":"def","docLink":"./Init/Data/OfScientific.html#Nat.toFloat","doc":""},"Nat.toDigitsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L125-L131","name":"Nat.toDigitsCore","line":125,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigitsCore","doc":""},"Nat.toDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L133-L134","name":"Nat.toDigits","line":133,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigits","doc":""},"Nat.superDigitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L139-L150","name":"Nat.superDigitChar","line":139,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.superDigitChar","doc":""},"Nat.succ_sub_succ_eq_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L218-L221","name":"Nat.succ_sub_succ_eq_sub","line":218,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ_eq_sub","doc":""},"Nat.succ_sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L247-L248","name":"Nat.succ_sub_succ","line":247,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ","doc":""},"Nat.succ_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L564-L567","name":"Nat.succ_pred","line":564,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_pred","doc":""},"Nat.succ_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1608-L1609","name":"Nat.succ_pos","line":1608,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_pos","doc":""},"Nat.succ_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L432-L433","name":"Nat.succ_ne_zero","line":432,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_ne_zero","doc":""},"Nat.succ_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L169-L172","name":"Nat.succ_mul","line":169,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_mul","doc":""},"Nat.succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L209-L210","name":"Nat.succ_lt_succ","line":209,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_lt_succ","doc":""},"Nat.succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1582-L1584","name":"Nat.succ_le_succ","line":1582,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_le_succ","doc":""},"Nat.succ_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L313-L314","name":"Nat.succ_le_of_lt","line":313,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_le_of_lt","doc":""},"Nat.succ_eq_add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L128-L129","name":"Nat.succ_eq_add_one","line":128,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_eq_add_one","doc":""},"Nat.succ_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L118-L120","name":"Nat.succ_add","line":118,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_add","doc":""},"Nat.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1042-L1044","name":"Nat.succ","line":1042,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.succ","doc":"The successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. "},"Nat.sub_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L215-L216","name":"Nat.sub_zero","line":215,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_zero","doc":""},"Nat.sub_succ_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L557-L562","name":"Nat.sub_succ_lt_self","line":557,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ_lt_self","doc":""},"Nat.sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L244-L245","name":"Nat.sub_succ","line":244,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ","doc":""},"Nat.sub_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L706-L709","name":"Nat.sub_sub","line":706,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_sub","doc":""},"Nat.sub_self_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L634-L636","name":"Nat.sub_self_add","line":634,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self_add","doc":""},"Nat.sub_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L250-L252","name":"Nat.sub_self","line":250,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self","doc":""},"Nat.sub_ne_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L569-L573","name":"Nat.sub_ne_zero_of_lt","line":569,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_ne_zero_of_lt","doc":""},"Nat.sub_lt_sub_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L623-L627","name":"Nat.sub_lt_sub_left","line":623,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt_sub_left","doc":""},"Nat.sub_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L236-L242","name":"Nat.sub_lt","line":236,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt","doc":""},"Nat.sub_le_succ_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L542-L545","name":"Nat.sub_le_succ_sub","line":542,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_succ_sub","doc":""},"Nat.sub_le_of_le_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L642-L651","name":"Nat.sub_le_of_le_add","line":642,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_of_le_add","doc":""},"Nat.sub_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L231-L234","name":"Nat.sub_le","line":231,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le","doc":""},"Nat.sub_eq_zero_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L638-L640","name":"Nat.sub_eq_zero_of_le","line":638,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_zero_of_le","doc":""},"Nat.sub_eq_of_eq_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L610-L611","name":"Nat.sub_eq_of_eq_add","line":610,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_of_eq_add","doc":""},"Nat.sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L86-L86","name":"Nat.sub_eq","line":86,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq","doc":""},"Nat.sub_add_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L254-L257","name":"Nat.sub_add_eq","line":254,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_eq","doc":""},"Nat.sub_add_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L583-L584","name":"Nat.sub_add_cancel","line":583,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_cancel","doc":""},"Nat.sub.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L689-L696","name":"Nat.sub.elim","line":689,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub.elim","doc":""},"Nat.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1716-L1718","name":"Nat.sub","line":1716,"kind":"def","docLink":"./Init/Prelude.html#Nat.sub","doc":"(Truncated) subtraction of natural numbers. Because natural numbers are not\nclosed under subtraction, we define `n - m` to be `0` when `n < m`.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.strongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L169-L173","name":"Nat.strongInductionOn","line":169,"kind":"theorem","docLink":"./Init/WF.html#Nat.strongInductionOn","doc":""},"Nat.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L44-L46","name":"Nat.shiftRight","line":44,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftRight","doc":""},"Nat.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L40-L42","name":"Nat.shiftLeft","line":40,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftLeft","doc":""},"Nat.right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L189-L190","name":"Nat.right_distrib","line":189,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.right_distrib","doc":""},"Nat.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L136-L137","name":"Nat.repr","line":136,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.repr","doc":""},"Nat.repeat_eq_repeatTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L762-L764","name":"Nat.repeat_eq_repeatTR.go","line":762,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR.go","doc":""},"Nat.repeat_eq_repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L760-L765","name":"Nat.repeat_eq_repeatTR","line":760,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR","doc":""},"Nat.repeatTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L70-L72","name":"Nat.repeatTR.loop","line":70,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR.loop","doc":""},"Nat.repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L69-L73","name":"Nat.repeatTR","line":69,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR","doc":"Tail-recursive version of `Nat.repeat`. "},"Nat.repeat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L64-L66","name":"Nat.repeat","line":64,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat","doc":"`Nat.repeat f n a` is `f^(n) a`; that is, it iterates `f` `n` times on `a`.\n* `Nat.repeat f 3 a = f <| f <| f <| a`\n"},"Nat.pred_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L683-L684","name":"Nat.pred_zero","line":683,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_zero","doc":""},"Nat.pred_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L686-L687","name":"Nat.pred_succ","line":686,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_succ","doc":""},"Nat.pred_lt'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L527-L528","name":"Nat.pred_lt'","line":527,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt'","doc":""},"Nat.pred_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L227-L229","name":"Nat.pred_lt","line":227,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt","doc":""},"Nat.pred_le_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1623-L1626","name":"Nat.pred_le_pred","line":1623,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.pred_le_pred","doc":""},"Nat.pred_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L223-L225","name":"Nat.pred_le","line":223,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_le","doc":""},"Nat.pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1619-L1621","name":"Nat.pred","line":1619,"kind":"def","docLink":"./Init/Prelude.html#Nat.pred","doc":"The predecessor function on natural numbers.\n\nThis definition is overridden in the compiler to use `n - 1` instead.\nThe definition provided here is the logical model.\n"},"Nat.pow_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L476-L476","name":"Nat.pow_zero","line":476,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_zero","doc":""},"Nat.pow_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L473-L474","name":"Nat.pow_succ","line":473,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_succ","doc":""},"Nat.pow_le_pow_of_le_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L482-L492","name":"Nat.pow_le_pow_of_le_right","line":482,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_right","doc":""},"Nat.pow_le_pow_of_le_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L478-L480","name":"Nat.pow_le_pow_of_le_left","line":478,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_left","doc":""},"Nat.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1479-L1481","name":"Nat.pow","line":1479,"kind":"def","docLink":"./Init/Prelude.html#Nat.pow","doc":"The power operation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.pos_pow_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L494-L495","name":"Nat.pos_pow_of_pos","line":494,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pos_pow_of_pos","doc":""},"Nat.pos_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L36-L40","name":"Nat.pos_of_isPowerOfTwo","line":36,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.pos_of_isPowerOfTwo","doc":""},"Nat.one_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L426-L427","name":"Nat.one_ne_zero","line":426,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_ne_zero","doc":""},"Nat.one_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L181-L182","name":"Nat.one_mul","line":181,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_mul","doc":""},"Nat.one_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L29-L30","name":"Nat.one_isPowerOfTwo","line":29,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.one_isPowerOfTwo","doc":""},"Nat.not_succ_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1571-L1573","name":"Nat.not_succ_le_zero","line":1571,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_zero","doc":""},"Nat.not_succ_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1655-L1657","name":"Nat.not_succ_le_self","line":1655,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_self","doc":""},"Nat.not_lt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1575-L1576","name":"Nat.not_lt_zero","line":1575,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_lt_zero","doc":""},"Nat.not_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L727-L728","name":"Nat.not_lt_eq","line":727,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_lt_eq","doc":""},"Nat.not_le_of_not_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1693-L1694","name":"Nat.not_le_of_not_ble_eq_true","line":1693,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_le_of_not_ble_eq_true","doc":""},"Nat.not_le_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L360-L365","name":"Nat.not_le_of_gt","line":360,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_of_gt","doc":""},"Nat.not_le_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L721-L722","name":"Nat.not_le_eq","line":721,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_eq","doc":""},"Nat.not_gt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L730-L731","name":"Nat.not_gt_eq","line":730,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_gt_eq","doc":""},"Nat.not_ge_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L724-L725","name":"Nat.not_ge_eq","line":724,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_ge_eq","doc":""},"Nat.not_eq_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L522-L525","name":"Nat.not_eq_zero_of_lt","line":522,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_eq_zero_of_lt","doc":""},"Nat.not_beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L105-L110","name":"Nat.not_beq_eq_true_eq","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_beq_eq_true_eq","doc":""},"Nat.nextPowerOfTwo_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L11-L14","name":"Nat.nextPowerOfTwo_dec","line":11,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo_dec","doc":""},"Nat.nextPowerOfTwo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L19-L23","name":"Nat.nextPowerOfTwo.go","line":19,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo.go","doc":""},"Nat.nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L16-L25","name":"Nat.nextPowerOfTwo","line":16,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo","doc":""},"Nat.ne_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L329-L330","name":"Nat.ne_of_lt","line":329,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ne_of_lt","doc":""},"Nat.ne_of_beq_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1513-L1519","name":"Nat.ne_of_beq_eq_false","line":1513,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ne_of_beq_eq_false","doc":""},"Nat.mul_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L159-L160","name":"Nat.mul_zero","line":159,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_zero","doc":""},"Nat.mul_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L162-L163","name":"Nat.mul_succ","line":162,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_succ","doc":""},"Nat.mul_sub_right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L711-L714","name":"Nat.mul_sub_right_distrib","line":711,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_right_distrib","doc":""},"Nat.mul_sub_left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L716-L717","name":"Nat.mul_sub_left_distrib","line":716,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_left_distrib","doc":""},"Nat.mul_pred_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L703-L704","name":"Nat.mul_pred_right","line":703,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_right","doc":""},"Nat.mul_pred_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L698-L701","name":"Nat.mul_pred_left","line":698,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_left","doc":""},"Nat.mul_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L455-L457","name":"Nat.mul_pos","line":455,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pos","doc":""},"Nat.mul_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L178-L179","name":"Nat.mul_one","line":178,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_one","doc":""},"Nat.mul_lt_mul_of_pos_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L452-L453","name":"Nat.mul_lt_mul_of_pos_right","line":452,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_right","doc":""},"Nat.mul_lt_mul_of_pos_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L449-L450","name":"Nat.mul_lt_mul_of_pos_left","line":449,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_left","doc":""},"Nat.mul_left_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L202-L203","name":"Nat.mul_left_comm","line":202,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_left_comm","doc":""},"Nat.mul_le_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L443-L444","name":"Nat.mul_le_mul_right","line":443,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_right","doc":""},"Nat.mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L437-L441","name":"Nat.mul_le_mul_left","line":437,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_left","doc":""},"Nat.mul_le_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L446-L447","name":"Nat.mul_le_mul","line":446,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul","doc":""},"Nat.mul_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L85-L85","name":"Nat.mul_eq","line":85,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_eq","doc":""},"Nat.mul_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L174-L176","name":"Nat.mul_comm","line":174,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_comm","doc":""},"Nat.mul_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L198-L200","name":"Nat.mul_assoc","line":198,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_assoc","doc":""},"Nat.mul_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L192-L193","name":"Nat.mul_add","line":192,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_add","doc":""},"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L32-L34","name":"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","line":32,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","doc":""},"Nat.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1463-L1465","name":"Nat.mul","line":1463,"kind":"def","docLink":"./Init/Prelude.html#Nat.mul","doc":"Multiplication of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.mod_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L105-L109","name":"Nat.mod_zero","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_zero","doc":""},"Nat.mod_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L154-L155","name":"Nat.mod_self","line":154,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_self","doc":""},"Nat.mod_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L157-L164","name":"Nat.mod_one","line":157,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_one","doc":""},"Nat.mod_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L122-L138","name":"Nat.mod_lt","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_lt","doc":""},"Nat.mod_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L140-L145","name":"Nat.mod_le","line":140,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_le","doc":""},"Nat.mod_eq_sub_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L117-L120","name":"Nat.mod_eq_sub_mod","line":117,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_sub_mod","doc":""},"Nat.mod_eq_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L111-L115","name":"Nat.mod_eq_of_lt","line":111,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_of_lt","doc":""},"Nat.mod_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L94-L95","name":"Nat.mod_eq","line":94,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq","doc":""},"Nat.modCore_eq_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L87-L92","name":"Nat.modCore_eq_mod","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.modCore_eq_mod","doc":""},"Nat.modCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L68-L73","name":"Nat.modCore","line":68,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.modCore","doc":""},"Nat.mod.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L97-L103","name":"Nat.mod.inductionOn","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod.inductionOn","doc":""},"Nat.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L76-L83","name":"Nat.mod","line":76,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.mod","doc":""},"Nat.min_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L506-L506","name":"Nat.min_def","line":506,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.min_def","doc":""},"Nat.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L504-L504","name":"Nat.min","line":504,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.min","doc":"`Nat.min a b` is the minimum of `a` and `b`:\n* if `a ≤ b` then `Nat.min a b = a`\n* if `b ≤ a` then `Nat.min a b = b`\n"},"Nat.max_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L517-L517","name":"Nat.max_def","line":517,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.max_def","doc":""},"Nat.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L515-L515","name":"Nat.max","line":515,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.max","doc":"`Nat.max a b` is the maximum of `a` and `b`:\n* if `a ≤ b` then `Nat.max a b = b`\n* if `b ≤ a` then `Nat.max a b = a`\n"},"Nat.lt_wfRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L151-L167","name":"Nat.lt_wfRel","line":151,"kind":"def","docLink":"./Init/WF.html#Nat.lt_wfRel","doc":""},"Nat.lt_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1596-L1597","name":"Nat.lt_trans","line":1596,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_trans","doc":""},"Nat.lt_succ_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L294-L294","name":"Nat.lt_succ_self","line":294,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_self","doc":""},"Nat.lt_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L212-L213","name":"Nat.lt_succ_of_le","line":212,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_of_le","doc":""},"Nat.lt_sub_of_add_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L679-L681","name":"Nat.lt_sub_of_add_lt","line":679,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_sub_of_add_lt","doc":""},"Nat.lt_or_ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1644-L1653","name":"Nat.lt_or_ge","line":1644,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_or_ge","doc":""},"Nat.lt_of_succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L307-L308","name":"Nat.lt_of_succ_lt_succ","line":307,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt_succ","doc":""},"Nat.lt_of_succ_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L304-L305","name":"Nat.lt_of_succ_lt","line":304,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt","doc":""},"Nat.lt_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L310-L311","name":"Nat.lt_of_succ_le","line":310,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_le","doc":""},"Nat.lt_of_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L259-L260","name":"Nat.lt_of_lt_of_le","line":259,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_le","doc":""},"Nat.lt_of_lt_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L262-L263","name":"Nat.lt_of_lt_of_eq","line":262,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_eq","doc":""},"Nat.lt_of_le_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1670-L1673","name":"Nat.lt_of_le_of_ne","line":1670,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_ne","doc":""},"Nat.lt_of_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1662-L1663","name":"Nat.lt_of_le_of_lt","line":1662,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_lt","doc":""},"Nat.lt_irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1659-L1660","name":"Nat.lt_irrefl","line":1659,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_irrefl","doc":""},"Nat.lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L87-L87","name":"Nat.lt_eq","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_eq","doc":""},"Nat.lt.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L286-L286","name":"Nat.lt.step","line":286,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.step","doc":""},"Nat.lt.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L292-L292","name":"Nat.lt.base","line":292,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.base","doc":""},"Nat.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1565-L1566","name":"Nat.lt","line":1565,"kind":"def","docLink":"./Init/Prelude.html#Nat.lt","doc":"The strict less than relation on natural numbers is defined as `n < m := n + 1 ≤ m`. "},"Nat.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L36-L36","name":"Nat.lor","line":36,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.lor","doc":""},"Nat.log2_terminates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L12-L19","name":"Nat.log2_terminates","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_terminates","doc":""},"Nat.log2_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L31-L37","name":"Nat.log2_le_self","line":31,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_le_self","doc":""},"Nat.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Log2.lean#L27-L29","name":"Nat.log2","line":27,"kind":"def","docLink":"./Init/Data/Nat/Log2.html#Nat.log2","doc":"Computes `⌊max 0 (log₂ n)⌋`.\n\n`log2 0 = log2 1 = 0`, `log2 2 = 1`, ..., `log2 (2^i) = i`, etc.\n"},"Nat.left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L184-L187","name":"Nat.left_distrib","line":184,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.left_distrib","doc":""},"Nat.le_zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L154-L155","name":"Nat.le_zero_eq","line":154,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Nat.le_zero_eq","doc":""},"Nat.le_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1592-L1594","name":"Nat.le_trans","line":1592,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_trans","doc":""},"Nat.le_total":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L296-L299","name":"Nat.le_total","line":296,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_total","doc":""},"Nat.le_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1602-L1603","name":"Nat.le_succ_of_le","line":1602,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ_of_le","doc":""},"Nat.le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1599-L1600","name":"Nat.le_succ","line":1599,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ","doc":""},"Nat.le_sub_of_add_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L660-L666","name":"Nat.le_sub_of_add_le","line":660,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_sub_of_add_le","doc":""},"Nat.le_step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1589-L1590","name":"Nat.le_step","line":1589,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_step","doc":""},"Nat.le_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1605-L1606","name":"Nat.le_refl","line":1605,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_refl","doc":""},"Nat.le_or_eq_of_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L332-L338","name":"Nat.le_or_eq_of_le_succ","line":332,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_or_eq_of_le_succ","doc":""},"Nat.le_of_succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1628-L1629","name":"Nat.le_of_succ_le_succ","line":1628,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_succ_le_succ","doc":""},"Nat.le_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L280-L281","name":"Nat.le_of_succ_le","line":280,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_succ_le","doc":""},"Nat.le_of_mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L459-L462","name":"Nat.le_of_mul_le_mul_left","line":459,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_mul_le_mul_left","doc":""},"Nat.le_of_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1631-L1632","name":"Nat.le_of_lt_succ","line":1631,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_lt_succ","doc":""},"Nat.le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L283-L284","name":"Nat.le_of_lt","line":283,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_lt","doc":""},"Nat.le_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L277-L278","name":"Nat.le_of_eq","line":277,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_eq","doc":""},"Nat.le_of_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1675-L1678","name":"Nat.le_of_ble_eq_true","line":1675,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_ble_eq_true","doc":""},"Nat.le_of_add_le_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L417-L419","name":"Nat.le_of_add_le_add_right","line":417,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_add_le_add_right","doc":""},"Nat.le_of_add_le_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/21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`n ≤ m`, then `n ≤ m + 1`. "},"Nat.le.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1556-L1557","name":"Nat.le.refl","line":1556,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.le.refl","doc":"Less-equal is reflexive: `n ≤ n` "},"Nat.le.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L357-L358","name":"Nat.le.intro","line":357,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.intro","doc":""},"Nat.le.dest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L347-L355","name":"Nat.le.dest","line":347,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.dest","doc":""},"Nat.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1555-L1559","name":"Nat.le","line":1555,"kind":"inductive","docLink":"./Init/Prelude.html#Nat.le","doc":"An inductive definition of the less-equal relation on natural numbers,\ncharacterized as the least relation `≤` such that `n ≤ n` and `n ≤ m → n ≤ m + 1`.\n"},"Nat.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L34-L34","name":"Nat.land","line":34,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.land","doc":""},"Nat.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2041-L2042","name":"Nat.isValidChar","line":2041,"kind":"def","docLink":"./Init/Prelude.html#Nat.isValidChar","doc":"A `Nat` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L46-L50","name":"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","line":46,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","doc":""},"Nat.isPowerOfTwo_nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L42-L52","name":"Nat.isPowerOfTwo_nextPowerOfTwo","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo","doc":""},"Nat.isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Power2.lean#L27-L27","name":"Nat.isPowerOfTwo","line":27,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo","doc":""},"Nat.instXorNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L50-L50","name":"Nat.instXorNat","line":50,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instXorNat","doc":""},"Nat.instTransNatLtInstLTNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L271-L272","name":"Nat.instTransNatLtInstLTNatLeInstLENat","line":271,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNatLeInstLENat","doc":""},"Nat.instTransNatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L265-L266","name":"Nat.instTransNatLtInstLTNat","line":265,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L274-L275","name":"Nat.instTransNatLeInstLENatLtInstLTNat","line":274,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L268-L269","name":"Nat.instTransNatLeInstLENat","line":268,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENat","doc":""},"Nat.instShiftRightNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L52-L52","name":"Nat.instShiftRightNat","line":52,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftRightNat","doc":""},"Nat.instShiftLeftNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L51-L51","name":"Nat.instShiftLeftNat","line":51,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftLeftNat","doc":""},"Nat.instOrOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L49-L49","name":"Nat.instOrOpNat","line":49,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instOrOpNat","doc":""},"Nat.instModNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L85-L85","name":"Nat.instModNat","line":85,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instModNat","doc":""},"Nat.instMaxNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L508-L508","name":"Nat.instMaxNat","line":508,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instMaxNat","doc":""},"Nat.instLawfulBEqNatInstBEqNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L100-L102","name":"Nat.instLawfulBEqNatInstBEqNat","line":100,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instLawfulBEqNatInstBEqNat","doc":""},"Nat.instDivNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L23-L23","name":"Nat.instDivNat","line":23,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instDivNat","doc":""},"Nat.instAntisymmNatNotLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L380-L381","name":"Nat.instAntisymmNatNotLtInstLTNat","line":380,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatNotLtInstLTNat","doc":""},"Nat.instAntisymmNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L377-L378","name":"Nat.instAntisymmNatLeInstLENat","line":377,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatLeInstLENat","doc":""},"Nat.instAndOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L48-L48","name":"Nat.instAndOpNat","line":48,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instAndOpNat","doc":""},"Nat.imax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L14-L15","name":"Nat.imax","line":14,"kind":"def","docLink":"./Lean/Level.html#Nat.imax","doc":""},"Nat.gt_of_not_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L367-L370","name":"Nat.gt_of_not_le","line":367,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.gt_of_not_le","doc":""},"Nat.ge_of_not_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L372-L375","name":"Nat.ge_of_not_lt","line":372,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ge_of_not_lt","doc":""},"Nat.gcd_zero_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L30-L36","name":"Nat.gcd_zero_right","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_right","doc":""},"Nat.gcd_zero_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L20-L21","name":"Nat.gcd_zero_left","line":20,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_left","doc":""},"Nat.gcd_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L23-L24","name":"Nat.gcd_succ","line":23,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_succ","doc":""},"Nat.gcd_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L38-L39","name":"Nat.gcd_self","line":38,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_self","doc":""},"Nat.gcd_one_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L26-L28","name":"Nat.gcd_one_left","line":26,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_one_left","doc":""},"Nat.gcd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Gcd.lean#L17-L18","name":"Nat.gcd","line":17,"kind":"def","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd","doc":""},"Nat.forRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L20-L22","name":"Nat.forRevM.loop","line":20,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM.loop","doc":""},"Nat.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L19-L23","name":"Nat.forRevM","line":19,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM","doc":""},"Nat.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L14-L16","name":"Nat.forM.loop","line":14,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM.loop","doc":""},"Nat.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L13-L17","name":"Nat.forM","line":13,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM","doc":""},"Nat.fold_eq_foldTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L737-L739","name":"Nat.fold_eq_foldTR.go","line":737,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR.go","doc":""},"Nat.fold_eq_foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L735-L740","name":"Nat.fold_eq_foldTR","line":735,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR","doc":""},"Nat.foldTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L23-L25","name":"Nat.foldTR.loop","line":23,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR.loop","doc":""},"Nat.foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L22-L26","name":"Nat.foldTR","line":22,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR","doc":"Tail-recursive version of `Nat.fold`. "},"Nat.foldRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L32-L34","name":"Nat.foldRevM.loop","line":32,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM.loop","doc":""},"Nat.foldRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L31-L35","name":"Nat.foldRevM","line":31,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM","doc":""},"Nat.foldRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L32-L34","name":"Nat.foldRev","line":32,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldRev","doc":"`Nat.foldRev` evaluates `f` on the numbers up to `n` exclusive, in decreasing order:\n* `Nat.foldRev f 3 init = f 0 <| f 1 <| f 2 <| init`\n"},"Nat.foldM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L26-L28","name":"Nat.foldM.loop","line":26,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM.loop","doc":""},"Nat.foldM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L25-L29","name":"Nat.foldM","line":25,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM","doc":""},"Nat.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L17-L19","name":"Nat.fold","line":17,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.fold","doc":"`Nat.fold` evaluates `f` on the numbers up to `n` exclusive, in increasing order:\n* `Nat.fold f 3 init = init |> f 0 |> f 1 |> f 2`\n"},"Nat.eq_zero_or_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L288-L290","name":"Nat.eq_zero_or_pos","line":288,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_or_pos","doc":""},"Nat.eq_zero_of_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L301-L302","name":"Nat.eq_zero_of_le_zero","line":301,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_of_le_zero","doc":""},"Nat.eq_or_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1634-L1642","name":"Nat.eq_or_lt_of_le","line":1634,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_or_lt_of_le","doc":""},"Nat.eq_of_mul_eq_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L468-L469","name":"Nat.eq_of_mul_eq_mul_right","line":468,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_right","doc":""},"Nat.eq_of_mul_eq_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L464-L466","name":"Nat.eq_of_mul_eq_mul_left","line":464,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_left","doc":""},"Nat.eq_of_beq_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1504-L1511","name":"Nat.eq_of_beq_eq_true","line":1504,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_of_beq_eq_true","doc":""},"Nat.eq_add_of_sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L607-L608","name":"Nat.eq_add_of_sub_eq","line":607,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_add_of_sub_eq","doc":""},"Nat.div_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L12-L13","name":"Nat.div_rec_lemma","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_rec_lemma","doc":""},"Nat.div_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L56-L65","name":"Nat.div_lt_self","line":56,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_lt_self","doc":""},"Nat.div_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L42-L54","name":"Nat.div_le_self","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_le_self","doc":""},"Nat.div_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L25-L28","name":"Nat.div_eq","line":25,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_eq","doc":""},"Nat.div_add_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L166-L175","name":"Nat.div_add_mod","line":166,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_add_mod","doc":""},"Nat.div.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L30-L40","name":"Nat.div.inductionOn","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div.inductionOn","doc":""},"Nat.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Div.lean#L16-L21","name":"Nat.div","line":16,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.div","doc":""},"Nat.digitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L106-L123","name":"Nat.digitChar","line":106,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.digitChar","doc":""},"Nat.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1701-L1702","name":"Nat.decLt","line":1701,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLt","doc":""},"Nat.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1697-L1698","name":"Nat.decLe","line":1697,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLe","doc":""},"Nat.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1529-L1532","name":"Nat.decEq","line":1529,"kind":"def","docLink":"./Init/Prelude.html#Nat.decEq","doc":"A decision procedure for equality of natural numbers.\n\nThis definition is overridden in the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.ctor_eq_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L423-L424","name":"Nat.ctor_eq_zero","line":423,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ctor_eq_zero","doc":""},"Nat.caseStrongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L175-L183","name":"Nat.caseStrongInductionOn","line":175,"kind":"theorem","docLink":"./Init/WF.html#Nat.caseStrongInductionOn","doc":""},"Nat.blt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L98-L98","name":"Nat.blt_eq","line":98,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.blt_eq","doc":""},"Nat.blt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L76-L77","name":"Nat.blt","line":76,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.blt","doc":"Boolean less-than of natural numbers. "},"Nat.ble_succ_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1684-L1686","name":"Nat.ble_succ_eq_true","line":1684,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_succ_eq_true","doc":""},"Nat.ble_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1680-L1682","name":"Nat.ble_self_eq_true","line":1680,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_self_eq_true","doc":""},"Nat.ble_eq_true_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1688-L1691","name":"Nat.ble_eq_true_of_le","line":1688,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_eq_true_of_le","doc":""},"Nat.ble_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L97-L97","name":"Nat.ble_eq","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ble_eq","doc":""},"Nat.ble":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1545-L1549","name":"Nat.ble","line":1545,"kind":"def","docLink":"./Init/Prelude.html#Nat.ble","doc":"The (Boolean) less-equal relation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.bitwise_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L13-L14","name":"Nat.bitwise_rec_lemma","line":13,"kind":"theorem","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise_rec_lemma","doc":""},"Nat.bitwise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Bitwise.lean#L16-L31","name":"Nat.bitwise","line":16,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise","doc":""},"Nat.beq_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L92-L94","name":"Nat.beq_refl","line":92,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_refl","doc":""},"Nat.beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L104-L104","name":"Nat.beq_eq_true_eq","line":104,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq_true_eq","doc":""},"Nat.beq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L96-L96","name":"Nat.beq_eq","line":96,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq","doc":""},"Nat.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1495-L1499","name":"Nat.beq","line":1495,"kind":"def","docLink":"./Init/Prelude.html#Nat.beq","doc":"(Boolean) equality of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.any_eq_anyTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L744-L748","name":"Nat.any_eq_anyTR.go","line":744,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR.go","doc":""},"Nat.any_eq_anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L742-L749","name":"Nat.any_eq_anyTR","line":742,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR","doc":""},"Nat.anyTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L43-L45","name":"Nat.anyTR.loop","line":43,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR.loop","doc":""},"Nat.anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L42-L46","name":"Nat.anyTR","line":42,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR","doc":"Tail-recursive version of `Nat.any`. "},"Nat.anyM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L47-L52","name":"Nat.anyM.loop","line":47,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM.loop","doc":""},"Nat.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L46-L53","name":"Nat.anyM","line":46,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM","doc":""},"Nat.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L37-L39","name":"Nat.any","line":37,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.any","doc":"`any f n = true` iff there is `i in [0, n-1]` s.t. `f i = true` "},"Nat.all_eq_allTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L753-L757","name":"Nat.all_eq_allTR.go","line":753,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR.go","doc":""},"Nat.all_eq_allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L751-L758","name":"Nat.all_eq_allTR","line":751,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR","doc":""},"Nat.allTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L55-L57","name":"Nat.allTR.loop","line":55,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR.loop","doc":""},"Nat.allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L54-L58","name":"Nat.allTR","line":54,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR","doc":"Tail-recursive version of `Nat.all`. "},"Nat.allM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L38-L43","name":"Nat.allM.loop","line":38,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM.loop","doc":""},"Nat.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Control.lean#L37-L44","name":"Nat.allM","line":37,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM","doc":""},"Nat.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L49-L51","name":"Nat.all","line":49,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.all","doc":"`all f n = true` iff every `i in [0, n-1]` satisfies `f i = true` "},"Nat.add_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L457-L457","name":"Nat.add_zero","line":457,"kind":"theorem","docLink":"./Init/Core.html#Nat.add_zero","doc":""},"Nat.add_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L122-L123","name":"Nat.add_succ","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_succ","doc":""},"Nat.add_sub_self_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L539-L540","name":"Nat.add_sub_self_right","line":539,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_right","doc":""},"Nat.add_sub_self_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L532-L537","name":"Nat.add_sub_self_left","line":532,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_left","doc":""},"Nat.add_sub_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L575-L581","name":"Nat.add_sub_of_le","line":575,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_of_le","doc":""},"Nat.add_sub_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L598-L600","name":"Nat.add_sub_cancel_left","line":598,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel_left","doc":""},"Nat.add_sub_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L594-L596","name":"Nat.add_sub_cancel","line":594,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel","doc":""},"Nat.add_sub_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L602-L605","name":"Nat.add_sub_assoc","line":602,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_assoc","doc":""},"Nat.add_sub_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L586-L589","name":"Nat.add_sub_add_right","line":586,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_right","doc":""},"Nat.add_sub_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L591-L592","name":"Nat.add_sub_add_left","line":591,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_left","doc":""},"Nat.add_right_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L145-L146","name":"Nat.add_right_comm","line":145,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_comm","doc":""},"Nat.add_right_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L153-L155","name":"Nat.add_right_cancel","line":153,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_cancel","doc":""},"Nat.add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L125-L126","name":"Nat.add_one","line":125,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_one","doc":""},"Nat.add_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L195-L196","name":"Nat.add_mul","line":195,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_mul","doc":""},"Nat.add_lt_of_lt_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L668-L677","name":"Nat.add_lt_of_lt_sub","line":668,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_of_lt_sub","doc":""},"Nat.add_lt_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L398-L399","name":"Nat.add_lt_add_right","line":398,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_right","doc":""},"Nat.add_lt_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L395-L396","name":"Nat.add_lt_add_left","line":395,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_left","doc":""},"Nat.add_lt_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Nat/Basic.lean#L407-L408","name":"Nat.add_lt_add","line":407,"kind":"theorem","docLink":"./Init/Data/Nat/Ba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We use `fixedVar` for encoding numerals.\nThe denotation of `fixedVar` is always `1`. 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type of natural numbers, starting at zero. It is defined as an\ninductive type freely generated by \"zero is a natural number\" and\n\"the successor of a natural number is a natural number\".\n\nYou can prove a theorem `P n` about `n : Nat` by `induction n`, which will\nexpect a proof of the theorem for `P 0`, and a proof of `P (succ i)` assuming\na proof of `P i`. The same method also works to define functions by recursion\non natural numbers: induction and recursion are two expressions of the same\noperation from lean's point of view.\n\n```\nopen Nat\nexample (n : Nat) : n < succ n := by\n induction n with\n | zero =>\n show 0 < 1\n decide\n | succ i ih => -- ih : i < succ i\n show succ i < succ (succ i)\n exact Nat.succ_lt_succ ih\n```\n\nThis type is special-cased by both the kernel and the compiler:\n* The type of expressions contains \"`Nat` literals\" as a primitive constructor,\n and the kernel knows how to reduce zero/succ expressions to nat literals.\n* If implemented naively, this type would represent a numeral `n` in unary as a\n linked list with `n` links, which is horribly inefficient. Instead, the\n runtime itself has a special representation for `Nat` which stores numbers up\n to 2^63 directly and larger numbers use an arbitrary precision \"bignum\"\n library (usually [GMP](https://gmplib.org/)).\n"},"Mul.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1275-L1275","name":"Mul.mul","line":1275,"kind":"def","docLink":"./Init/Prelude.html#Mul.mul","doc":"`a * b` computes the product of `a` and `b`. See `HMul`. "},"Mul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1273-L1273","name":"Mul.mk","line":1273,"kind":"ctor","docLink":"./Init/Prelude.html#Mul.mk","doc":""},"Mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1273-L1275","name":"Mul","line":1273,"kind":"class","docLink":"./Init/Prelude.html#Mul","doc":"The homogeneous version of `HMul`: `a * b : α` where `a b : α`. "},"MonadWithReaderOf.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3062-L3062","name":"MonadWithReaderOf.withReader","line":3062,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReaderOf.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3059-L3059","name":"MonadWithReaderOf.mk","line":3059,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReaderOf.mk","doc":""},"MonadWithReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3059-L3062","name":"MonadWithReaderOf","line":3059,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReaderOf","doc":"`MonadWithReaderOf ρ` adds the operation `withReader : (ρ → ρ) → m α → m α`.\nThis runs the inner `x : m α` inside a modified context after applying the\nfunction `f : ρ → ρ`. In addition to `ReaderT` itself, this operation lifts\nover most monad transformers, so it allows us to apply `withReader` to monads\ndeeper in the stack.\n"},"MonadWithReader.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3076-L3076","name":"MonadWithReader.withReader","line":3076,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReader.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3073-L3073","name":"MonadWithReader.mk","line":3073,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReader.mk","doc":""},"MonadWithReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3073-L3076","name":"MonadWithReader","line":3073,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReader","doc":"Similar to `MonadWithReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadStateOf.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3099-L3099","name":"MonadStateOf.set","line":3099,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadStateOf.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3106-L3106","name":"MonadStateOf.modifyGet","line":3106,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadStateOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3095-L3095","name":"MonadStateOf.mk","line":3095,"kind":"ctor","docLink":"./Init/Prelude.html#MonadStateOf.mk","doc":""},"MonadStateOf.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3097-L3097","name":"MonadStateOf.get","line":3097,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadStateOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3095-L3106","name":"MonadStateOf","line":3095,"kind":"class","docLink":"./Init/Prelude.html#MonadStateOf","doc":"An implementation of [`MonadState`]. In contrast to the Haskell implementation,\nwe use overlapping instances to derive instances automatically from `monadLift`.\n\n [`MonadState`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-State-Class.html\n"},"MonadState.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3138-L3138","name":"MonadState.set","line":3138,"kind":"def","docLink":"./Init/Prelude.html#MonadState.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadState.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3145-L3145","name":"MonadState.modifyGet","line":3145,"kind":"def","docLink":"./Init/Prelude.html#MonadState.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3134-L3134","name":"MonadState.mk","line":3134,"kind":"ctor","docLink":"./Init/Prelude.html#MonadState.mk","doc":""},"MonadState.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3136-L3136","name":"MonadState.get","line":3136,"kind":"def","docLink":"./Init/Prelude.html#MonadState.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3134-L3145","name":"MonadState","line":3134,"kind":"class","docLink":"./Init/Prelude.html#MonadState","doc":"Similar to `MonadStateOf`, but `σ` is an `outParam` for convenience. "},"MonadShareCommon.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L87-L87","name":"MonadShareCommon.withShareCommon","line":87,"kind":"def","docLink":"./Init/ShareCommon.html#MonadShareCommon.withShareCommon","doc":""},"MonadShareCommon.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L86-L86","name":"MonadShareCommon.mk","line":86,"kind":"ctor","docLink":"./Init/ShareCommon.html#MonadShareCommon.mk","doc":""},"MonadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/ShareCommon.lean#L86-L87","name":"MonadShareCommon","line":86,"kind":"class","docLink":"./Init/ShareCommon.html#MonadShareCommon","doc":""},"MonadReaderOf.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3026-L3026","name":"MonadReaderOf.read","line":3026,"kind":"def","docLink":"./Init/Prelude.html#MonadReaderOf.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3024-L3024","name":"MonadReaderOf.mk","line":3024,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReaderOf.mk","doc":""},"MonadReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3024-L3026","name":"MonadReaderOf","line":3024,"kind":"class","docLink":"./Init/Prelude.html#MonadReaderOf","doc":"An implementation of Haskell's [`MonadReader`] (sans functional dependency; see also `MonadReader`\nin this module). It does not contain `local` because this\nfunction cannot be lifted using `monadLift`. `local` is instead provided by\nthe `MonadWithReader` class as `withReader`.\n\nNote: This class can be seen as a simplification of the more \"principled\" definition\n```\nclass MonadReaderOf (ρ : Type u) (n : Type u → Type u) where\n lift {α : Type u} : ({m : Type u → Type u} → [Monad m] → ReaderT ρ m α) → n α\n```\n\n [`MonadReader`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Reader-Class.html#t:MonadReader\n"},"MonadReader.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3039-L3039","name":"MonadReader.read","line":3039,"kind":"def","docLink":"./Init/Prelude.html#MonadReader.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3037-L3037","name":"MonadReader.mk","line":3037,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReader.mk","doc":""},"MonadReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3037-L3039","name":"MonadReader","line":3037,"kind":"class","docLink":"./Init/Prelude.html#MonadReader","doc":"Similar to `MonadReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadLiftT.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2797-L2797","name":"MonadLiftT.monadLift","line":2797,"kind":"def","docLink":"./Init/Prelude.html#MonadLiftT.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLiftT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2795-L2795","name":"MonadLiftT.mk","line":2795,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLiftT.mk","doc":""},"MonadLiftT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2795-L2797","name":"MonadLiftT","line":2795,"kind":"class","docLink":"./Init/Prelude.html#MonadLiftT","doc":"The reflexive-transitive closure of `MonadLift`. `monadLift` is used to\ntransitively lift monadic computations such as `StateT.get` or `StateT.put s`.\nCorresponds to Haskell's [`MonadLift`].\n\n [`MonadLift`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLift\n"},"MonadLift.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2786-L2786","name":"MonadLift.monadLift","line":2786,"kind":"def","docLink":"./Init/Prelude.html#MonadLift.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2784-L2784","name":"MonadLift.mk","line":2784,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLift.mk","doc":""},"MonadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2784-L2786","name":"MonadLift","line":2784,"kind":"class","docLink":"./Init/Prelude.html#MonadLift","doc":"A function for lifting a computation from an inner `Monad` to an outer `Monad`.\nLike Haskell's [`MonadTrans`], but `n` does not have to be a monad transformer.\nAlternatively, an implementation of [`MonadLayer`] without `layerInvmap` (so far).\n\n [`MonadTrans`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Class.html\n [`MonadLayer`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLayer\n"},"MonadFunctorT.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2829-L2829","name":"MonadFunctorT.monadMap","line":2829,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctorT.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctorT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2826-L2826","name":"MonadFunctorT.mk","line":2826,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctorT.mk","doc":""},"MonadFunctorT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2826-L2829","name":"MonadFunctorT","line":2826,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctorT","doc":"The reflexive-transitive closure of `MonadFunctor`.\n`monadMap` is used to transitively lift `Monad` morphisms. "},"MonadFunctor.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2822-L2822","name":"MonadFunctor.monadMap","line":2822,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctor.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2819-L2819","name":"MonadFunctor.mk","line":2819,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctor.mk","doc":""},"MonadFunctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2819-L2822","name":"MonadFunctor","line":2819,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctor","doc":"A functor in the category of monads. Can be used to lift monad-transforming functions.\nBased on [`MFunctor`] from the `pipes` Haskell package, but not restricted to\nmonad transformers. Alternatively, an implementation of [`MonadTransFunctor`].\n\n [`MFunctor`]: https://hackage.haskell.org/package/pipes-2.4.0/docs/Control-MFunctor.html\n [`MonadTransFunctor`]: http://duairc.netsoc.ie/layers-docs/Control-Monad-Layer.html#t:MonadTransFunctor\n"},"MonadFinally.tryFinally'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L180-L180","name":"MonadFinally.tryFinally'","line":180,"kind":"def","docLink":"./Init/Control/Except.html#MonadFinally.tryFinally'","doc":"`tryFinally' x f` runs `x` and then the \"finally\" computation `f`.\nWhen `x` succeeds with `a : α`, `f (some a)` is returned. If `x` fails\nfor `m`'s definition of failure, `f none` is returned. Hence `tryFinally'`\ncan be thought of as performing the same role as a `finally` block in\nan imperative programming language. "},"MonadFinally.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L174-L174","name":"MonadFinally.mk","line":174,"kind":"ctor","docLink":"./Init/Control/Except.html#MonadFinally.mk","doc":""},"MonadFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L174-L180","name":"MonadFinally","line":174,"kind":"class","docLink":"./Init/Control/Except.html#MonadFinally","doc":""},"MonadExceptOf.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2879-L2879","name":"MonadExceptOf.tryCatch","line":2879,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExceptOf.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2875-L2875","name":"MonadExceptOf.throw","line":2875,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExceptOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2872-L2872","name":"MonadExceptOf.mk","line":2872,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExceptOf.mk","doc":""},"MonadExceptOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2872-L2879","name":"MonadExceptOf","line":2872,"kind":"class","docLink":"./Init/Prelude.html#MonadExceptOf","doc":"An implementation of Haskell's [`MonadError`] class. A `MonadError ε m` is a\nmonad `m` with two operations:\n\n* `throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\n catch block\n* `tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n `body` and pass the resulting error to `handler`.\n Errors in `handler` will not be caught.\n\nThe `try ... catch e => ...` syntax inside `do` blocks is sugar for the\n`tryCatch` operation.\n\n [`MonadError`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Except.html#t:MonadError\n"},"MonadExcept.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2903-L2903","name":"MonadExcept.tryCatch","line":2903,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExcept.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2899-L2899","name":"MonadExcept.throw","line":2899,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExcept.orelse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L156-L157","name":"MonadExcept.orelse'","line":156,"kind":"def","docLink":"./Init/Control/Except.html#MonadExcept.orelse'","doc":"Alternative orelse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orelse` uses the second. "},"MonadExcept.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2920-L2921","name":"MonadExcept.orElse","line":2920,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.orElse","doc":"A `MonadExcept` can implement `t₁ <|> t₂` as `try t₁ catch _ => t₂`. "},"MonadExcept.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2906-L2908","name":"MonadExcept.ofExcept","line":2906,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.ofExcept","doc":"\"Unwraps\" an `Except ε α` to get the `α`, or throws the exception otherwise. "},"MonadExcept.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2896-L2896","name":"MonadExcept.mk","line":2896,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExcept.mk","doc":""},"MonadExcept.instOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2923-L2924","name":"MonadExcept.instOrElse","line":2923,"kind":"instance","docLink":"./Init/Prelude.html#MonadExcept.instOrElse","doc":""},"MonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2896-L2903","name":"MonadExcept","line":2896,"kind":"class","docLink":"./Init/Prelude.html#MonadExcept","doc":"Similar to `MonadExceptOf`, but `ε` is an `outParam` for convenience. "},"MonadControlT.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L196-L196","name":"MonadControlT.stM","line":196,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.stM","doc":""},"MonadControlT.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L198-L198","name":"MonadControlT.restoreM","line":198,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.restoreM","doc":""},"MonadControlT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L195-L195","name":"MonadControlT.mk","line":195,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControlT.mk","doc":""},"MonadControlT.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L197-L197","name":"MonadControlT.liftWith","line":197,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.liftWith","doc":""},"MonadControlT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L195-L198","name":"MonadControlT","line":195,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControlT","doc":"Transitive closure of MonadControl. "},"MonadControl.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L190-L190","name":"MonadControl.stM","line":190,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.stM","doc":""},"MonadControl.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L192-L192","name":"MonadControl.restoreM","line":192,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.restoreM","doc":""},"MonadControl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L189-L189","name":"MonadControl.mk","line":189,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControl.mk","doc":""},"MonadControl.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L191-L191","name":"MonadControl.liftWith","line":191,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.liftWith","doc":""},"MonadControl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L189-L192","name":"MonadControl","line":189,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControl","doc":"MonadControl is a way of stating that the monad `m` can be 'run inside' the monad `n`.\n\nThis is the same as [`MonadBaseControl`](https://hackage.haskell.org/package/monad-control-1.0.3.1/docs/Control-Monad-Trans-Control.html#t:MonadBaseControl) in Haskell.\nTo learn about `MonadControl`, see the comment above this docstring.\n\n"},"Monad.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2750-L2750","name":"Monad.mk","line":2750,"kind":"ctor","docLink":"./Init/Prelude.html#Monad.mk","doc":""},"Monad":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2750-L2754","name":"Monad","line":2750,"kind":"class","docLink":"./Init/Prelude.html#Monad","doc":"A [monad](https://en.wikipedia.org/wiki/Monad_(functional_programming)) is a\nstructure which abstracts the concept of sequential control flow.\nIt mainly consists of two operations:\n\n* `pure : α → F α`\n* `bind : F α → (α → F β) → F β` (written as `>>=`)\n\nLike many functional programming languages, Lean makes extensive use of monads\nfor structuring programs. In particular, the `do` notation is a very powerful\nsyntax over monad operations, and it depends on a `Monad` instance.\n\nSee [the `do` notation](https://leanprover.github.io/lean4/doc/do.html)\nchapter of the manual for details.\n"},"Mod.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1294-L1294","name":"Mod.mod","line":1294,"kind":"def","docLink":"./Init/Prelude.html#Mod.mod","doc":"`a % b` computes the remainder upon dividing `a` by `b`. See `HMod`. "},"Mod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1292-L1292","name":"Mod.mk","line":1292,"kind":"ctor","docLink":"./Init/Prelude.html#Mod.mk","doc":""},"Mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1292-L1294","name":"Mod","line":1292,"kind":"class","docLink":"./Init/Prelude.html#Mod","doc":"The homogeneous version of `HMod`: `a % b : α` where `a b : α`. "},"Min.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1101-L1101","name":"Min.mk","line":1101,"kind":"ctor","docLink":"./Init/Prelude.html#Min.mk","doc":""},"Min.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1103-L1103","name":"Min.min","line":1103,"kind":"def","docLink":"./Init/Prelude.html#Min.min","doc":"The minimum operation: `min x y`. "},"Min":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1101-L1103","name":"Min","line":1101,"kind":"class","docLink":"./Init/Prelude.html#Min","doc":"`Min α` is the typeclass which supports the operation `min x y` where `x y : α`."},"Membership.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1430-L1430","name":"Membership.mk","line":1430,"kind":"ctor","docLink":"./Init/Prelude.html#Membership.mk","doc":""},"Membership.mem.upper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L79-L81","name":"Membership.mem.upper","line":79,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.upper","doc":""},"Membership.mem.lower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Range.lean#L83-L85","name":"Membership.mem.lower","line":83,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.lower","doc":""},"Membership.mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1432-L1432","name":"Membership.mem","line":1432,"kind":"def","docLink":"./Init/Prelude.html#Membership.mem","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"Membership":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1430-L1432","name":"Membership","line":1430,"kind":"class","docLink":"./Init/Prelude.html#Membership","doc":"The typeclass behind the notation `a ∈ s : Prop` where `a : α`, `s : γ`.\nBecause `α` is an `outParam`, the \"container type\" `γ` determines the type\nof the elements of the container.\n"},"Max.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1088-L1088","name":"Max.mk","line":1088,"kind":"ctor","docLink":"./Init/Prelude.html#Max.mk","doc":""},"Max.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1090-L1090","name":"Max.max","line":1090,"kind":"def","docLink":"./Init/Prelude.html#Max.max","doc":"The maximum operation: `max x y`. "},"Max":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1088-L1090","name":"Max","line":1088,"kind":"class","docLink":"./Init/Prelude.html#Max","doc":"`Max α` is the typeclass which supports the operation `max x y` where `x y : α`."},"MProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L492-L492","name":"MProd.snd","line":492,"kind":"def","docLink":"./Init/Prelude.html#MProd.snd","doc":"The second projection out of a pair. if `p : MProd α β` then `p.2 : β`. "},"MProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L488-L488","name":"MProd.mk","line":488,"kind":"ctor","docLink":"./Init/Prelude.html#MProd.mk","doc":""},"MProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L490-L490","name":"MProd.fst","line":490,"kind":"def","docLink":"./Init/Prelude.html#MProd.fst","doc":"The first projection out of a pair. if `p : MProd α β` then `p.1 : α`. "},"MProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L488-L492","name":"MProd","line":488,"kind":"structure","docLink":"./Init/Prelude.html#MProd","doc":"Similar to `Prod`, but `α` and `β` are in the same universe.\nWe say `MProd` is the universe monomorphic product type.\n"},"List.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L548-L550","name":"List.zipWith","line":548,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zipWith","doc":"`O(min |xs| |ys|)`. Applies `f` to the two lists in parallel, stopping at the shorter list.\n* `zipWith f [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [f x₁ y₁, f x₂ y₂, f x₃ y₃]`\n"},"List.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L557-L558","name":"List.zip","line":557,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zip","doc":"`O(min |xs| |ys|)`. Combines the two lists into a list of pairs, with one element from each list.\nThe longer list is truncated to match the shorter list.\n* `zip [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n"},"List.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L564-L566","name":"List.unzip","line":564,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.unzip","doc":"`O(|l|)`. Separates a list of pairs into two lists containing the first components and second components.\n* `unzip [(x₁, y₁), (x₂, y₂), (x₃, y₃)] = ([x₁, x₂, x₃], [y₁, y₂, y₃])`\n"},"List.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ToString/Basic.lean#L48-L51","name":"List.toString","line":48,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#List.toString","doc":""},"List.toSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/SSet.lean#L46-L47","name":"List.toSSet","line":46,"kind":"def","docLink":"./Lean/Data/SSet.html#List.toSSet","doc":""},"List.toPArray'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L378-L380","name":"List.toPArray'.loop","line":378,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'.loop","doc":""},"List.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L377-L381","name":"List.toPArray'","line":377,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'","doc":""},"List.toFloatArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L164-L166","name":"List.toFloatArray.loop","line":164,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray.loop","doc":""},"List.toFloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L163-L167","name":"List.toFloatArray","line":163,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray","doc":""},"List.toByteArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L189-L191","name":"List.toByteArray.loop","line":189,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray.loop","doc":""},"List.toByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L188-L192","name":"List.toByteArray","line":188,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray","doc":""},"List.toAssocList'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/AssocList.lean#L105-L107","name":"List.toAssocList'","line":105,"kind":"def","docLink":"./Lean/Data/AssocList.html#List.toAssocList'","doc":""},"List.toArray_eq_toArray_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L35-L38","name":"List.toArray_eq_toArray_eq","line":35,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#List.toArray_eq_toArray_eq","doc":""},"List.toArrayAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2638-L2640","name":"List.toArrayAux","line":2638,"kind":"def","docLink":"./Init/Prelude.html#List.toArrayAux","doc":"Auxiliary definition for `List.toArray`. "},"List.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2655-L2656","name":"List.toArray","line":2655,"kind":"def","docLink":"./Init/Prelude.html#List.toArray","doc":"Convert a `List α` into an `Array α`. This is O(n) in the length of the list.\n\nThis function is exported to C, where it is called by `Array.mk`\n(the constructor) to implement this functionality.\n"},"List.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L504-L508","name":"List.takeWhile","line":504,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.takeWhile","doc":"`O(|xs|)`. Returns the longest initial segment of `xs` for which `p` returns true.\n* `takeWhile (· > 5) [7, 6, 4, 8] = [7, 6]`\n* `takeWhile (· > 5) [7, 6, 6, 8] = [7, 6, 6, 8]`\n"},"List.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L494-L497","name":"List.take","line":494,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.take","doc":"`O(min n |xs|)`. Returns the first `n` elements of `xs`, or the whole list if `n` is too large.\n* `take 0 [a, b, c, d, e] = []`\n* `take 3 [a, b, c, d, e] = [a, b, c]`\n* `take 6 [a, b, c, d, e] = [a, b, c, d, e]`\n"},"List.tailD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L53-L55","name":"List.tailD","line":53,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tailD","doc":""},"List.tail?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L49-L51","name":"List.tail?","line":49,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail?","doc":""},"List.tail!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L45-L47","name":"List.tail!","line":45,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail!","doc":""},"List.tacticSizeOf_list_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L127-L132","name":"List.tacticSizeOf_list_dec","line":127,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tacticSizeOf_list_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf a < sizeOf as` when `a ∈ as`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : List T → T`. "},"List.span.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L426-L430","name":"List.span.loop","line":426,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span.loop","doc":""},"List.span":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L423-L430","name":"List.span","line":423,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span","doc":"`O(|l|)`. `span p l` splits the list `l` into two parts, where the first part\ncontains the longest initial segment for which `p` returns true\nand the second part is everything else.\n\n* `span (· > 5) [6, 8, 9, 5, 2, 9] = ([6, 8, 9], [5, 2, 9])`\n* `span (· > 10) [6, 8, 9, 5, 2, 9] = ([6, 8, 9, 5, 2, 9], [])`\n"},"List.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L119-L122","name":"List.sizeOf_lt_of_mem","line":119,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_lt_of_mem","doc":""},"List.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L11-L19","name":"List.sizeOf_get_lt","line":11,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#List.sizeOf_get_lt","doc":""},"List.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L160-L166","name":"List.sizeOf_get","line":160,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_get","doc":""},"List.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2220-L2223","name":"List.set","line":2220,"kind":"def","docLink":"./Init/Prelude.html#List.set","doc":"`l.set n a` sets the value of list `l` at (zero-based) index `n` to `a`:\n`[a, b, c, d].set 1 b' = [a, b', c, d]`\n"},"List.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L84-L92","name":"List.rotateRight","line":84,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateRight","doc":""},"List.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L74-L82","name":"List.rotateLeft","line":74,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateLeft","doc":""},"List.reverse_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L67-L68","name":"List.reverse_reverse","line":67,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_reverse","doc":""},"List.reverse_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L171-L172","name":"List.reverse_nil","line":171,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_nil","doc":""},"List.reverse_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L174-L176","name":"List.reverse_cons","line":174,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_cons","doc":""},"List.reverse_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L178-L181","name":"List.reverse_append","line":178,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_append","doc":""},"List.reverseAux_reverseAux_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L57-L60","name":"List.reverseAux_reverseAux_nil","line":57,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux_nil","doc":""},"List.reverseAux_reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L62-L65","name":"List.reverseAux_reverseAux","line":62,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux","doc":""},"List.reverseAux_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L163-L169","name":"List.reverseAux_eq_append","line":163,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_eq_append","doc":""},"List.reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L42-L44","name":"List.reverseAux","line":42,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverseAux","doc":"Auxiliary for `List.reverse`. `List.reverseAux l r = l.reverse ++ r`, but it is defined directly. "},"List.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L54-L55","name":"List.reverse","line":54,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverse","doc":"`O(|as|)`. Reverse of a list:\n* `[1, 2, 3, 4].reverse = [4, 3, 2, 1]`\n\nNote that because of the \"functional but in place\" optimization implemented by Lean's compiler,\nthis function works without any allocations provided that the input list is unshared:\nit simply walks the linked list and reverses all the node pointers.\n"},"List.repr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L246-L250","name":"List.repr'","line":246,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr'","doc":""},"List.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L237-L241","name":"List.repr","line":237,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr","doc":""},"List.replicate_eq_replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L752-L754","name":"List.replicate_eq_replicateTR","line":752,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicate_eq_replicateTR","doc":""},"List.replicateTR_loop_replicate_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L747-L750","name":"List.replicateTR_loop_replicate_eq","line":747,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicateTR_loop_replicate_eq","doc":""},"List.replicateTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L742-L744","name":"List.replicateTR.loop","line":742,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR.loop","doc":""},"List.replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L741-L745","name":"List.replicateTR","line":741,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR","doc":"Tail-recursive version of `List.replicate`. "},"List.replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L736-L738","name":"List.replicate","line":736,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicate","doc":"`replicate n a` is `n` copies of `a`:\n* `replicate 5 a = [a, a, a, a, a]`\n"},"List.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L320-L324","name":"List.replace","line":320,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replace","doc":"`O(|l|)`. `replace l a b` replaces the first element in the list equal to `a` with `b`.\n\n* `replace [1, 4, 2, 3, 3, 7] 3 6 = [1, 4, 2, 6, 3, 7]`\n* `replace [1, 4, 2, 3, 3, 7] 5 6 = [1, 4, 2, 3, 3, 7]`\n"},"List.removeAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L466-L467","name":"List.removeAll","line":466,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.removeAll","doc":"`O(|xs|)`. Computes the \"set difference\" of lists,\nby filtering out all elements of `xs` which are also in `ys`.\n* `removeAll [1, 1, 5, 1, 2, 4, 5] [1, 2, 2] = [5, 4, 5]`\n "},"List.redLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2644-L2646","name":"List.redLength","line":2644,"kind":"def","docLink":"./Init/Prelude.html#List.redLength","doc":"A non-tail-recursive version of `List.length`, used for `List.toArray`. "},"List.range.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L575-L577","name":"List.range.loop","line":575,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range.loop","doc":""},"List.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L572-L577","name":"List.range","line":572,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range","doc":"`O(n)`. `range n` is the numbers from `0` to `n` exclusive, in increasing order.\n* `range 5 = [0, 1, 2, 3, 4]`\n"},"List.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L646-L646","name":"List.pure","line":646,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.pure","doc":"`pure x = [x]` is the `pure` operation of the list monad. "},"List.partition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L270-L275","name":"List.partition.loop","line":270,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition.loop","doc":""},"List.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L267-L275","name":"List.partition","line":267,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition","doc":"`O(|l|)`. `partition p l` calls `p` on each element of `l`, partitioning the list into two lists\n`(l_true, l_false)` where `l_true` has the elements where `p` was true\nand `l_false` has the elements where `p` is false.\n`partition p l = (filter p l, filter (not ∘ p) l)`, but it is slightly more efficient\nsince it only has to do one pass over the list.\n```\npartition (· > 2) [1, 2, 5, 2, 7, 7] = ([5, 7, 7], [1, 2, 2])\n```\n"},"List.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L536-L536","name":"List.or","line":536,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.or","doc":"`O(|l|)`. Returns true if `true` is an element of the list of booleans `l`.\n* `or [a, b, c] = a || b || c`\n"},"List.of_concat_eq_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L841-L848","name":"List.of_concat_eq_concat","line":841,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.of_concat_eq_concat","doc":""},"List.notElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L339-L340","name":"List.notElem","line":339,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.notElem","doc":"`notElem a l` is `!(elem a l)`. "},"List.nil_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L92-L92","name":"List.nil_append","line":92,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.nil_append","doc":""},"List.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2183-L2184","name":"List.nil","line":2183,"kind":"ctor","docLink":"./Init/Prelude.html#List.nil","doc":"`[]` is the empty list. "},"List.minimum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L821-L823","name":"List.minimum?","line":821,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.minimum?","doc":"Returns the smallest element of the list, if it is not empty.\n* `[].minimum? = none`\n* `[4].minimum? = some 4`\n* `[1, 4, 2, 10, 6].minimum? = some 1`\n"},"List.mem_of_elem_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L359-L366","name":"List.mem_of_elem_eq_true","line":359,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_of_elem_eq_true","doc":""},"List.mem_append_of_mem_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L382-L386","name":"List.mem_append_of_mem_right","line":382,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_right","doc":""},"List.mem_append_of_mem_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L376-L380","name":"List.mem_append_of_mem_left","line":376,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_left","doc":""},"List.maximum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L811-L813","name":"List.maximum?","line":811,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.maximum?","doc":"Returns the largest element of the list, if it is not empty.\n* `[].maximum? = none`\n* `[4].maximum? = some 4`\n* `[1, 4, 2, 10, 6].maximum? = some 10`\n"},"List.map_eq_mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L192-L194","name":"List.map_eq_mapTR","line":192,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.map_eq_mapTR","doc":""},"List.mapTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L183-L190","name":"List.mapTR_loop_eq","line":183,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mapTR_loop_eq","doc":""},"List.mapTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L159-L161","name":"List.mapTR.loop","line":159,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR.loop","doc":""},"List.mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L156-L161","name":"List.mapTR","line":156,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR","doc":"Tail-recursive version of `List.map`. "},"List.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L202-L205","name":"List.mapMonoM","line":202,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMonoM","doc":"Monomorphic `List.mapM`. The internal implementation uses pointer equality, and does not allocate a new list\nif the result of each `f a` is a pointer equal value `a`.\n"},"List.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L207-L208","name":"List.mapMono","line":207,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMono","doc":""},"List.mapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L45-L47","name":"List.mapM.loop","line":45,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM.loop","doc":""},"List.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L44-L48","name":"List.mapM","line":44,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM","doc":""},"List.mapA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L51-L53","name":"List.mapA","line":51,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapA","doc":""},"List.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L151-L153","name":"List.map","line":151,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.map","doc":"`O(|l|)`. `map f l` applies `f` to each element of the list.\n* `map f [a, b, c] = [f a, f b, f c]`\n"},"List.lt.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L657-L658","name":"List.lt.tail","line":657,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.tail","doc":"If `a` and `b` are equivalent and `as < bs`, then `a::as < b::bs`. "},"List.lt.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L653-L654","name":"List.lt.nil","line":653,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.nil","doc":"`[]` is the smallest element in the order. "},"List.lt.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L655-L656","name":"List.lt.head","line":655,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.head","doc":"If `a < b` then `a::as < b::bs`. "},"List.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L652-L658","name":"List.lt","line":652,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.lt","doc":"The lexicographic order on lists.\n`[] < a::as`, and `a::as < b::bs` if `a < b` or if `a` and `b` are equivalent and `as < bs`.\n"},"List.lookup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L456-L460","name":"List.lookup","line":456,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.lookup","doc":"`O(|l|)`. `lookup a l` treats `l : List (α × β)` like an association list,\nand returns the first `β` value corresponding to an `α` value in the list equal to `a`.\n\n* `lookup 3 [(1, 2), (3, 4), (3, 5)] = some 4`\n* `lookup 2 [(1, 2), (3, 4), (3, 5)] = none`\n"},"List.length_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L775-L781","name":"List.length_set","line":775,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_set","doc":""},"List.length_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L800-L803","name":"List.length_reverse","line":800,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_reverse","doc":""},"List.length_replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L767-L768","name":"List.length_replicate","line":767,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_replicate","doc":""},"List.length_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L38-L39","name":"List.length_nil","line":38,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_nil","doc":""},"List.length_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L795-L798","name":"List.length_map","line":795,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_map","doc":""},"List.length_eq_lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L34-L36","name":"List.length_eq_lengthTR","line":34,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_eq_lengthTR","doc":""},"List.length_dropLast_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L783-L788","name":"List.length_dropLast_cons","line":783,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_dropLast_cons","doc":""},"List.length_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2248-L2249","name":"List.length_cons","line":2248,"kind":"theorem","docLink":"./Init/Prelude.html#List.length_cons","doc":""},"List.length_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L770-L773","name":"List.length_concat","line":770,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_concat","doc":""},"List.length_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L790-L793","name":"List.length_append","line":790,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_append","doc":""},"List.length_add_eq_lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L27-L32","name":"List.length_add_eq_lengthTRAux","line":27,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_add_eq_lengthTRAux","doc":""},"List.lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2237-L2239","name":"List.lengthTRAux","line":2237,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTRAux","doc":"Auxiliary function for `List.lengthTR`. "},"List.lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2245-L2246","name":"List.lengthTR","line":2245,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTR","doc":"A tail-recursive version of `List.length`, used to implement `List.length`\nwithout running out of stack space.\n"},"List.length":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2232-L2234","name":"List.length","line":2232,"kind":"def","docLink":"./Init/Prelude.html#List.length","doc":"The length of a list: `[].length = 0` and `(a :: l).length = l.length + 1`.\n\nThis function is overridden in the compiler to `lengthTR`, which uses constant\nstack space, while leaving this function to use the \"naive\" recursion which is\neasier for reasoning.\n"},"List.le_antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L168-L182","name":"List.le_antisymm","line":168,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.le_antisymm","doc":""},"List.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L682-L682","name":"List.le","line":682,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.le","doc":"The lexicographic order on lists. "},"List.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L200-L202","name":"List.join","line":200,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.join","doc":"`O(|join L|)`. `join L` concatenates all the lists in `L` into one list.\n* `join [[a], [], [b, c], [d, e, f]] = [a, b, c, d, e, f]`\n"},"List.isSuffixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L709-L710","name":"List.isSuffixOf?","line":709,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf?","doc":"`isSuffixOf? l₁ l₂` returns `some t` when `l₂ == t ++ l₁`."},"List.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L705-L706","name":"List.isSuffixOf","line":705,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf","doc":"`isSuffixOf l₁ l₂` returns `true` Iff `l₁` is a suffix of `l₂`.\nThat is, there exists a `t` such that `l₂ == t ++ l₁`. "},"List.isPrefixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L697-L701","name":"List.isPrefixOf?","line":697,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf?","doc":"`isPrefixOf? l₁ l₂` returns `some t` when `l₂ == l₁ ++ t`. "},"List.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L691-L694","name":"List.isPrefixOf","line":691,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf","doc":"`isPrefixOf l₁ l₂` returns `true` Iff `l₁` is a prefix of `l₂`.\nThat is, there exists a `t` such that `l₂ == l₁ ++ t`. "},"List.isEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L716-L719","name":"List.isEqv","line":716,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEqv","doc":"`O(min |as| |bs|)`. Returns true if `as` and `bs` have the same length,\nand they are pairwise related by `eqv`.\n"},"List.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L143-L145","name":"List.isEmpty","line":143,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEmpty","doc":"`O(1)`. `isEmpty l` is true if the list is empty.\n* `isEmpty [] = true`\n* `isEmpty [a] = false`\n* `isEmpty [a, b] = false`\n"},"List.iota_eq_iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L595-L600","name":"List.iota_eq_iotaTR","line":595,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.iota_eq_iotaTR","doc":""},"List.iotaTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L589-L591","name":"List.iotaTR.go","line":589,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR.go","doc":""},"List.iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L588-L592","name":"List.iotaTR","line":588,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR","doc":"Tail-recursive version of `iota`. "},"List.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L583-L585","name":"List.iota","line":583,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iota","doc":"`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.\n* `iota 5 = [5, 4, 3, 2, 1]`\n"},"List.intersperse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L623-L626","name":"List.intersperse","line":623,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intersperse","doc":"`O(|l|)`. `intersperse sep l` alternates `sep` and the elements of `l`:\n* `intersperse sep [] = []`\n* `intersperse sep [a] = [a]`\n* `intersperse sep [a, b] = [a, sep, b]`\n* `intersperse sep [a, b, c] = [a, sep, b, sep, c]`\n"},"List.intercalate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L635-L636","name":"List.intercalate","line":635,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intercalate","doc":"`O(|xs|)`. `intercalate sep xs` alternates `sep` and the elements of `xs`:\n* `intercalate sep [] = []`\n* `intercalate sep [a] = a`\n* `intercalate sep [a, b] = a ++ sep ++ b`\n* `intercalate sep [a, b, c] = a ++ sep ++ b ++ sep ++ c`\n"},"List.instMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L356-L357","name":"List.instMembershipList","line":356,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instMembershipList","doc":""},"List.instLawfulBEqListInstBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L825-L839","name":"List.instLawfulBEqListInstBEqList","line":825,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLawfulBEqListInstBEqList","doc":""},"List.instLTList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L660-L660","name":"List.instLTList","line":660,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLTList","doc":""},"List.instLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L684-L684","name":"List.instLEList","line":684,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLEList","doc":""},"List.instGetElemListNatLtInstLTNatLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L18-L19","name":"List.instGetElemListNatLtInstLTNatLength","line":18,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instGetElemListNatLtInstLTNatLength","doc":""},"List.instFunctorList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L195-L196","name":"List.instFunctorList","line":195,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instFunctorList","doc":""},"List.instForMList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L187-L188","name":"List.instForMList","line":187,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForMList","doc":""},"List.instForInList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L150-L151","name":"List.instForInList","line":150,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForInList","doc":""},"List.instForIn'ListInferInstanceMembershipInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L175-L176","name":"List.instForIn'ListInferInstanceMembershipInstMembershipList","line":175,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForIn'ListInferInstanceMembershipInstMembershipList","doc":""},"List.instForAllListDecidableLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L686-L687","name":"List.instForAllListDecidableLeInstLEList","line":686,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instForAllListDecidableLeInstLEList","doc":""},"List.instEmptyCollectionList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L113-L113","name":"List.instEmptyCollectionList","line":113,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instEmptyCollectionList","doc":""},"List.instDecidableMemListInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L373-L374","name":"List.instDecidableMemListInstMembershipList","line":373,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instDecidableMemListInstMembershipList","doc":""},"List.instBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L730-L730","name":"List.instBEqList","line":730,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instBEqList","doc":""},"List.instAppendList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L90-L90","name":"List.instAppendList","line":90,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instAppendList","doc":""},"List.instAntisymmListLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L184-L185","name":"List.instAntisymmListLeInstLEList","line":184,"kind":"instance","docLink":"./Init/Data/List/BasicAux.html#List.instAntisymmListLeInstLEList","doc":""},"List.headD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L38-L40","name":"List.headD","line":38,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.headD","doc":""},"List.head?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L34-L36","name":"List.head?","line":34,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head?","doc":""},"List.head!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L30-L32","name":"List.head!","line":30,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head!","doc":""},"List.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L42-L43","name":"List.head","line":42,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head","doc":""},"List.hasDecidableLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L662-L679","name":"List.hasDecidableLt","line":662,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.hasDecidableLt","doc":""},"List.hasDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2193-L2203","name":"List.hasDecEq","line":2193,"kind":"def","docLink":"./Init/Prelude.html#List.hasDecEq","doc":"Implements decidable equality for `List α`, assuming `α` has decidable equality. "},"List.groupBy.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L443-L447","name":"List.groupBy.loop","line":443,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy.loop","doc":""},"List.groupBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L439-L447","name":"List.groupBy","line":439,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy","doc":"`O(|l|)`. `groupBy R l` splits `l` into chains of elements\nsuch that adjacent elements are related by `R`.\n\n* `groupBy (·==·) [1, 1, 2, 2, 2, 3, 2] = [[1, 1], [2, 2, 2], [3], [2]]`\n* `groupBy (·<·) [1, 2, 5, 4, 5, 1, 4] = [[1, 2, 5], [4, 5], [1, 4]]`\n"},"List.get_last":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L109-L117","name":"List.get_last","line":109,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_last","doc":""},"List.get_drop_eq_drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L483-L486","name":"List.get_drop_eq_drop","line":483,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.get_drop_eq_drop","doc":""},"List.get_append_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L102-L107","name":"List.get_append_right","line":102,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_right","doc":""},"List.get_append_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L94-L100","name":"List.get_append_left","line":94,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_left","doc":""},"List.getLastD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L70-L72","name":"List.getLastD","line":70,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLastD","doc":""},"List.getLast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L66-L68","name":"List.getLast?","line":66,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast?","doc":""},"List.getLast!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L62-L64","name":"List.getLast!","line":62,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast!","doc":""},"List.getLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L57-L60","name":"List.getLast","line":57,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast","doc":""},"List.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L27-L28","name":"List.getD","line":27,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getD","doc":""},"List.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L22-L25","name":"List.get?","line":22,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get?","doc":""},"List.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L17-L20","name":"List.get!","line":17,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get!","doc":""},"List.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2261-L2263","name":"List.get","line":2261,"kind":"def","docLink":"./Init/Prelude.html#List.get","doc":"`as.get i` returns the `i`'th element of the list `as`.\nThis version of the function uses `i : Fin as.length` to ensure that it will\nnot index out of bounds.\n"},"List.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Format/Instances.lean#L16-L18","name":"List.format","line":16,"kind":"def","docLink":"./Init/Data/Format/Instances.html#List.format","doc":""},"List.forM_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L190-L191","name":"List.forM_nil","line":190,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_nil","doc":""},"List.forM_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L192-L193","name":"List.forM_cons","line":192,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_cons","doc":""},"List.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L56-L59","name":"List.forM","line":56,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forM","doc":""},"List.forIn_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L153-L154","name":"List.forIn_nil","line":153,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_nil","doc":""},"List.forIn_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L156-L158","name":"List.forIn_cons","line":156,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_cons","doc":""},"List.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L142-L147","name":"List.forIn.loop","line":142,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn.loop","doc":""},"List.forIn'_eq_forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L178-L185","name":"List.forIn'_eq_forIn","line":178,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn'_eq_forIn","doc":""},"List.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L161-L172","name":"List.forIn'.loop","line":161,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'.loop","doc":""},"List.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L160-L173","name":"List.forIn'","line":160,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'","doc":""},"List.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L141-L148","name":"List.forIn","line":141,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn","doc":""},"List.forA":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L62-L65","name":"List.forA","line":62,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forA","doc":""},"List.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L101-L102","name":"List.foldrM","line":101,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldrM","doc":""},"List.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L514-L516","name":"List.foldr","line":514,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.foldr","doc":"`O(|l|)`. Applies function `f` to all of the elements of the list, from right to left.\n* `foldr f init [a, b, c] = f a <| f b <| f c <| init`\n"},"List.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L94-L98","name":"List.foldlM","line":94,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldlM","doc":""},"List.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2212-L2214","name":"List.foldl","line":2212,"kind":"def","docLink":"./Init/Prelude.html#List.foldl","doc":"Folds a function over a list from the left:\n`foldl f z [a, b, c] = f (f (f z a) b) c`\n"},"List.firstM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L105-L107","name":"List.firstM","line":105,"kind":"def","docLink":"./Init/Data/List/Control.html#List.firstM","doc":""},"List.findSomeM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L134-L139","name":"List.findSomeM?","line":134,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findSomeM?","doc":""},"List.findSome?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L308-L312","name":"List.findSome?","line":308,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.findSome?","doc":"`O(|l|)`. `findSome? f l` applies `f` to each element of `l`, and returns the first non-`none` result.\n\n* `findSome? (fun x => if x < 5 then some (10 * x) else none) [7, 6, 5, 8, 1, 2, 6] = some 10`\n"},"List.findM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L126-L131","name":"List.findM?","line":126,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findM?","doc":""},"List.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L297-L301","name":"List.find?","line":297,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.find?","doc":"`O(|l|)`. `find? p l` returns the first element for which `p` returns true,\nor `none` if no such element is found.\n\n* `find? (· < 5) [7, 6, 5, 8, 1, 2, 6] = some 1`\n* `find? (· < 1) [7, 6, 5, 8, 1, 2, 6] = none`\n"},"List.filter_eq_filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L253-L255","name":"List.filter_eq_filterTR","line":253,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filter_eq_filterTR","doc":""},"List.filterTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L243-L251","name":"List.filterTR_loop_eq","line":243,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filterTR_loop_eq","doc":""},"List.filterTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L237-L241","name":"List.filterTR.loop","line":237,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR.loop","doc":""},"List.filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L234-L241","name":"List.filterTR","line":234,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR","doc":"Tail-recursive version of `List.filter`. "},"List.filterRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L80-L81","name":"List.filterRevM","line":80,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterRevM","doc":""},"List.filterMapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L85-L90","name":"List.filterMapM.loop","line":85,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM.loop","doc":""},"List.filterMapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L84-L91","name":"List.filterMapM","line":84,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM","doc":""},"List.filterMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L214-L219","name":"List.filterMap","line":214,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterMap","doc":"`O(|l|)`. `filterMap f l` takes a function `f : α → Option β` and applies it to each element of `l`;\nthe resulting non-`none` values are collected to form the output list.\n```\nfilterMap\n (fun x => if x > 2 then some (2 * x) else none)\n [1, 2, 5, 2, 7, 7]\n= [10, 14, 14]\n```\n"},"List.filterM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L75-L77","name":"List.filterM","line":75,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterM","doc":""},"List.filterAuxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L68-L72","name":"List.filterAuxM","line":68,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterAuxM","doc":""},"List.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L227-L231","name":"List.filter","line":227,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filter","doc":"`O(|l|)`. `filter f l` returns the list of elements in `l` for which `f` returns true.\n```\nfilter (· > 2) [1, 2, 5, 2, 7, 7] = [5, 7, 7]\n```\n"},"List.eraseReps.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L409-L413","name":"List.eraseReps.loop","line":409,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps.loop","doc":""},"List.eraseReps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L405-L413","name":"List.eraseReps","line":405,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps","doc":"`O(|l|)`. Erase repeated adjacent elements. Keeps the first occurrence of each run.\n* `eraseReps [1, 3, 2, 2, 2, 3, 5] = [1, 3, 2, 3, 5]`\n"},"List.eraseIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L132-L135","name":"List.eraseIdx","line":132,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseIdx","doc":"`O(i)`. `eraseIdx l i` removes the `i`'th element of the list `l`.\n* `erase [a, b, c, d, e] 0 = [b, c, d, e]`\n* `erase [a, b, c, d, e] 1 = [a, c, d, e]`\n* `erase [a, b, c, d, e] 5 = [a, b, c, d, e]`\n"},"List.eraseDups.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L395-L399","name":"List.eraseDups.loop","line":395,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups.loop","doc":""},"List.eraseDups":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L392-L399","name":"List.eraseDups","line":392,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups","doc":"`O(|l|^2)`. Erase duplicated elements in the list.\nKeeps the first occurrence of duplicated elements.\n* `eraseDups [1, 3, 2, 2, 3, 5] = [1, 3, 2, 5]`\n"},"List.erase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L120-L124","name":"List.erase","line":120,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.erase","doc":"`O(|l|)`. `erase l a` removes the first occurrence of `a` from `l`.\n* `erase [1, 5, 3, 2, 5] 5 = [1, 3, 2, 5]`\n* `erase [1, 5, 3, 2, 5] 6 = [1, 5, 3, 2, 5]`\n"},"List.enumFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L606-L608","name":"List.enumFrom","line":606,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enumFrom","doc":"`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.\n* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`\n"},"List.enum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L614-L614","name":"List.enum","line":614,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enum","doc":"`O(|l|)`. `enum l` pairs up each element with its index in the list.\n* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`\n"},"List.elem_eq_true_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L368-L371","name":"List.elem_eq_true_of_mem","line":368,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.elem_eq_true_of_mem","doc":""},"List.elem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L332-L336","name":"List.elem","line":332,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.elem","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.drop_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L480-L481","name":"List.drop_nil","line":480,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_nil","doc":""},"List.drop_eq_nil_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L853-L857","name":"List.drop_eq_nil_of_le","line":853,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_eq_nil_of_le","doc":""},"List.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L284-L288","name":"List.dropWhile","line":284,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropWhile","doc":"`O(|l|)`. `dropWhile p l` removes elements from the list until it finds the first element\nfor which `p` returns false; this element and everything after it is returned.\n```\ndropWhile (· < 4) [1, 3, 2, 4, 2, 7, 4] = [4, 2, 7, 4]\n```\n"},"List.dropLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L762-L765","name":"List.dropLast","line":762,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropLast","doc":"Removes the last element of the list.\n* `dropLast [] = []`\n* `dropLast [a] = []`\n* `dropLast [a, b, c] = [a, b]`\n"},"List.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L475-L478","name":"List.drop","line":475,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.drop","doc":"`O(min n |xs|)`. Removes the first `n` elements of `xs`.\n* `drop 0 [a, b, c, d, e] = [a, b, c, d, e]`\n* `drop 3 [a, b, c, d, e] = [d, e]`\n* `drop 6 [a, b, c, d, e] = []`\n"},"List.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L342-L343","name":"List.contains","line":342,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.contains","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.cons_getElem_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L21-L22","name":"List.cons_getElem_zero","line":21,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_zero","doc":""},"List.cons_getElem_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L24-L25","name":"List.cons_getElem_succ","line":24,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_succ","doc":""},"List.cons_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L99-L99","name":"List.cons_append","line":99,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_append","doc":""},"List.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2185-L2187","name":"List.cons","line":2185,"kind":"ctor","docLink":"./Init/Prelude.html#List.cons","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"List.concat_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L850-L851","name":"List.concat_eq_append","line":850,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.concat_eq_append","doc":""},"List.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2252-L2254","name":"List.concat","line":2252,"kind":"def","docLink":"./Init/Prelude.html#List.concat","doc":"`l.concat a` appends `a` at the *end* of `l`, that is, `l ++ [a]`. "},"List.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L643-L643","name":"List.bind","line":643,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.bind","doc":"`bind xs f` is the bind operation of the list monad. It applies `f` to each element of `xs`\nto get a list of lists, and then concatenates them all together.\n* `[2, 3, 2].bind range = [0, 1, 0, 1, 2, 0, 1]`\n"},"List.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L725-L728","name":"List.beq","line":725,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.beq","doc":"The equality relation on lists asserts that they have the same length\nand they are pairwise `BEq`.\n"},"List.asString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L12-L13","name":"List.asString","line":12,"kind":"def","docLink":"./Init/Data/String/Basic.html#List.asString","doc":""},"List.append_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L93-L97","name":"List.append_nil","line":93,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_nil","doc":""},"List.append_eq_appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L82-L88","name":"List.append_eq_appendTR","line":82,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq_appendTR","doc":""},"List.append_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L101-L101","name":"List.append_eq","line":101,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq","doc":""},"List.append_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L108-L111","name":"List.append_cons","line":108,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_cons","doc":""},"List.append_cancel_right_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L155-L158","name":"List.append_cancel_right_eq","line":155,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right_eq","doc":""},"List.append_cancel_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L143-L148","name":"List.append_cancel_right","line":143,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right","doc":""},"List.append_cancel_left_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L150-L153","name":"List.append_cancel_left_eq","line":150,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left_eq","doc":""},"List.append_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/BasicAux.lean#L136-L141","name":"List.append_cancel_left","line":136,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left","doc":""},"List.append_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L103-L106","name":"List.append_assoc","line":103,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_assoc","doc":""},"List.appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L79-L80","name":"List.appendTR","line":79,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.appendTR","doc":"Tail-recursive version of `List.append`. "},"List.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L74-L76","name":"List.append","line":74,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.append","doc":"`O(|xs|)`: append two lists. `[1, 2, 3] ++ [4, 5] = [1, 2, 3, 4, 5]`.\nIt takes time proportional to the first list.\n"},"List.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L110-L115","name":"List.anyM","line":110,"kind":"def","docLink":"./Init/Data/List/Control.html#List.anyM","doc":""},"List.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L522-L523","name":"List.any","line":522,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.any","doc":"`O(|l|)`. Returns true if `p` is true for any element of `l`.\n* `any p [a, b, c] = p a || p b || p c`\n"},"List.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L542-L542","name":"List.and","line":542,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.and","doc":"`O(|l|)`. Returns true if every element of `l` is the value `true`.\n* `and [a, b, c] = a && b && c`\n"},"List.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Control.lean#L118-L123","name":"List.allM","line":118,"kind":"def","docLink":"./Init/Data/List/Control.html#List.allM","doc":""},"List.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L529-L530","name":"List.all","line":529,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.all","doc":"`O(|l|)`. Returns true if `p` is true for every element of `l`.\n* `all p [a, b, c] = p a && p b && p c`\n"},"List.Mem.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L353-L354","name":"List.Mem.tail","line":353,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.tail","doc":"A member of the tail of a list is a member of the list: `a ∈ l → a ∈ b :: l`. "},"List.Mem.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L351-L352","name":"List.Mem.head","line":351,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.head","doc":"The head of a list is a member: `a ∈ a :: as`. "},"List.Mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/List/Basic.lean#L350-L354","name":"List.Mem","line":350,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.Mem","doc":"`a ∈ l` is a predicate which asserts that `a` is in the list `l`.\nUnlike `elem`, this uses `=` instead of `==` and is suited for mathematical reasoning.\n* `a ∈ [x, y, z] ↔ a = x ∨ a = y ∨ a = z`\n"},"List":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2182-L2187","name":"List","line":2182,"kind":"inductive","docLink":"./Init/Prelude.html#List","doc":"`List α` is the type of ordered lists with elements of type `α`.\nIt is implemented as a linked list.\n\n`List α` is isomorphic to `Array α`, but they are useful for different things:\n* `List α` is easier for reasoning, and\n `Array α` is modeled as a wrapper around `List α`\n* `List α` works well as a persistent data structure, when many copies of the\n tail are shared. When the value is not shared, `Array α` will have better\n performance because it can do destructive 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"},"Lean.setMCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L343-L344","name":"Lean.setMCtx","line":343,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.setMCtx","doc":""},"Lean.setImplementedBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/ImplementedByAttr.lean#L41-L45","name":"Lean.setImplementedBy","line":41,"kind":"def","docLink":"./Lean/Compiler/ImplementedByAttr.html#Lean.setImplementedBy","doc":""},"Lean.setEnv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MonadEnv.lean#L15-L16","name":"Lean.setEnv","line":15,"kind":"def","docLink":"./Lean/MonadEnv.html#Lean.setEnv","doc":""},"Lean.setBuiltinInitAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/InitAttr.lean#L136-L137","name":"Lean.setBuiltinInitAttr","line":136,"kind":"def","docLink":"./Lean/Compiler/InitAttr.html#Lean.setBuiltinInitAttr","doc":""},"Lean.searchPathRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Path.lean#L57-L57","name":"Lean.searchPathRef","line":57,"kind":"opaque","docLink":"./Lean/Util/Path.html#Lean.searchPathRef","doc":""},"Lean.searchModuleNameOfFileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Path.lean#L128-L135","name":"Lean.searchModuleNameOfFileName","line":128,"kind":"def","docLink":"./Lean/Util/Path.html#Lean.searchModuleNameOfFileName","doc":""},"Lean.scopedEnvExtensionsRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ScopedEnvExtension.lean#L104-L104","name":"Lean.scopedEnvExtensionsRef","line":104,"kind":"opaque","docLink":"./Lean/ScopedEnvExtension.html#Lean.scopedEnvExtensionsRef","doc":""},"Lean.scientificLitKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3716-L3716","name":"Lean.scientificLitKind","line":3716,"kind":"def","docLink":"./Init/Prelude.html#Lean.scientificLitKind","doc":"`scientific` is the node kind of floating point literals like `1.23e-3`. "},"Lean.saveModuleData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L613-L613","name":"Lean.saveModuleData","line":613,"kind":"opaque","docLink":"./Lean/Environment.html#Lean.saveModuleData","doc":""},"Lean.sanitizeSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Hygiene.lean#L108-L112","name":"Lean.sanitizeSyntax","line":108,"kind":"def","docLink":"./Lean/Hygiene.html#Lean.sanitizeSyntax","doc":""},"Lean.sanitizeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Hygiene.lean#L92-L97","name":"Lean.sanitizeName","line":92,"kind":"def","docLink":"./Lean/Hygiene.html#Lean.sanitizeName","doc":"Erase macro scopes from `userName` and add \"tombstone\" + superscript (or `._hyg`). "},"Lean.runModInit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/InitAttr.lean#L28-L28","name":"Lean.runModInit","line":28,"kind":"opaque","docLink":"./Lean/Compiler/InitAttr.html#Lean.runModInit","doc":"Run the initializer of the given module (without `builtin_initialize` commands).\nReturn `false` if the initializer is not available as native code.\nInitializers do not have corresponding Lean definitions, so they cannot be interpreted in this case. "},"Lean.runMetaEval":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Eval.lean#L23-L24","name":"Lean.runMetaEval","line":23,"kind":"def","docLink":"./Lean/Eval.html#Lean.runMetaEval","doc":""},"Lean.runInit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/InitAttr.lean#L32-L32","name":"Lean.runInit","line":32,"kind":"opaque","docLink":"./Lean/Compiler/InitAttr.html#Lean.runInit","doc":"Run the initializer for `decl` and store its value for global access. Should only be used while importing. "},"Lean.runEval":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L778-L779","name":"Lean.runEval","line":778,"kind":"def","docLink":"./Init/System/IO.html#Lean.runEval","doc":""},"Lean.rootNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/OpenDecl.lean#L26-L26","name":"Lean.rootNamespace","line":26,"kind":"def","docLink":"./Lean/Data/OpenDecl.html#Lean.rootNamespace","doc":""},"Lean.resolveUniqueNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L233-L236","name":"Lean.resolveUniqueNamespace","line":233,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveUniqueNamespace","doc":"Given a namespace identifier, return the unique interpretation or else fail. "},"Lean.resolveNamespaceCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L214-L218","name":"Lean.resolveNamespaceCore","line":214,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespaceCore","doc":"Given a namespace name, return a list of possible interpretations.\nNames extracted from syntax should be passed to `resolveNamespace` instead.\n"},"Lean.resolveNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L221-L230","name":"Lean.resolveNamespace","line":221,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespace","doc":"Given a namespace identifier, return a list of possible interpretations. "},"Lean.resolveGlobalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L207-L208","name":"Lean.resolveGlobalName","line":207,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalName","doc":"Given a name `n`, return a list of possible interpretations.\nEach interpretation is a pair `(declName, fieldList)`, where `declName`\nis the name of a declaration in the current environment, and `fieldList` are\n(potential) field names.\nThe pair is needed because in Lean `.` may be part of a qualified name or\na field (aka dot-notation).\nAs an example, consider the following definitions\n```\ndef Boo.x := 1\ndef Foo.x := 2\ndef Foo.x.y := 3\n```\nAfter `open Foo`, we have\n- `resolveGlobalName x` => `[(Foo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w])]`\n\nAfter `open Foo open Boo`, we have\n- `resolveGlobalName x` => `[(Foo.x, []), (Boo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w]), (Boo.x, [z, w])]`\n"},"Lean.resolveGlobalConstNoOverloadCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L249-L253","name":"Lean.resolveGlobalConstNoOverloadCore","line":249,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverloadCore","doc":"For identifiers taken from syntax, use `resolveGlobalConstNoOverload` instead, which respects preresolved names. "},"Lean.resolveGlobalConstNoOverload":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/ResolveName.lean#L306-L310","name":"Lean.resolveGlobalConstNoOverload","line":306,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverload","doc":"Interpret the syntax `n` as an identifier for a global constant, and return a resolved\nconstant name. 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"},"Lean.replaceRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4068-L4071","name":"Lean.replaceRef","line":4068,"kind":"def","docLink":"./Init/Prelude.html#Lean.replaceRef","doc":"Replaces `oldRef` with `ref`, unless `ref` has no position info.\nThis biases us to having a valid span to report an error 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Note that it also marks instance implicit arguments that depend on `outParam`s as implicit.\n\nRemark: this function consumes the `outParam` annotations.\n\nThis function uses the same logic used as `checkOutParam`.\nSee issue #1901\n"},"Lean.mkOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1779-L1779","name":"Lean.mkOr","line":1779,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkOr","doc":"Return `p ∨ q` "},"Lean.mkOptionalNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L543-L546","name":"Lean.mkOptionalNode","line":543,"kind":"def","docLink":"./Init/Meta.html#Lean.mkOptionalNode","doc":""},"Lean.mkOpaqueValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L135-L137","name":"Lean.mkOpaqueValEx","line":135,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkOpaqueValEx","doc":""},"Lean.mkNullNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3751-L3752","name":"Lean.mkNullNode","line":3751,"kind":"def","docLink":"./Init/Prelude.html#Lean.mkNullNode","doc":"Creates an info-less `nullKind` node with the given children, if any. "},"Lean.mkNot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1777-L1777","name":"Lean.mkNot","line":1777,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkNot","doc":"Return `Not p` "},"Lean.mkNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3746-L3747","name":"Lean.mkNode","line":3746,"kind":"def","docLink":"./Init/Prelude.html#Lean.mkNode","doc":"Creates an info-less node of the given kind and children. "},"Lean.mkNoConfusionEnum.mkToCtorIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L45-L67","name":"Lean.mkNoConfusionEnum.mkToCtorIdx","line":45,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionEnum.mkToCtorIdx","doc":""},"Lean.mkNoConfusionEnum.mkNoConfusionType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L69-L90","name":"Lean.mkNoConfusionEnum.mkNoConfusionType","line":69,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionEnum.mkNoConfusionType","doc":""},"Lean.mkNoConfusionEnum.mkNoConfusion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L92-L116","name":"Lean.mkNoConfusionEnum.mkNoConfusion","line":92,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionEnum.mkNoConfusion","doc":""},"Lean.mkNoConfusionEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L35-L116","name":"Lean.mkNoConfusionEnum","line":35,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionEnum","doc":""},"Lean.mkNoConfusionCoreImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L13-L13","name":"Lean.mkNoConfusionCoreImp","line":13,"kind":"opaque","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionCoreImp","doc":""},"Lean.mkNoConfusionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L27-L27","name":"Lean.mkNoConfusionCore","line":27,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusionCore","doc":""},"Lean.mkNoConfusion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L118-L122","name":"Lean.mkNoConfusion","line":118,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkNoConfusion","doc":""},"Lean.mkNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L717-L719","name":"Lean.mkNatLit","line":717,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkNatLit","doc":"Return a natural number literal used in the frontend. It is a `OfNat.ofNat` application.\nRecall that all theorems and definitions containing numeric literals are encoded using\n`OfNat.ofNat` applications in the frontend.\n"},"Lean.mkNameMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/NameMap.lean#L17-L17","name":"Lean.mkNameMap","line":17,"kind":"def","docLink":"./Lean/Data/NameMap.html#Lean.mkNameMap","doc":""},"Lean.mkModuleInitializationFunctionName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/NameMangling.lean#L63-L64","name":"Lean.mkModuleInitializationFunctionName","line":63,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.mkModuleInitializationFunctionName","doc":""},"Lean.mkModuleData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L639-L650","name":"Lean.mkModuleData","line":639,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkModuleData","doc":""},"Lean.mkMapDeclarationExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L579-L585","name":"Lean.mkMapDeclarationExtension","line":579,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkMapDeclarationExtension","doc":""},"Lean.mkMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L727-L727","name":"Lean.mkMVarEx","line":727,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVarEx","doc":""},"Lean.mkMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L640-L641","name":"Lean.mkMVar","line":640,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVar","doc":"`.mvar mvarId` is now the preferred form.\nThis function is seldom used, metavariables are often created using functions such\nas `mkFresheExprMVar` at `MetaM`.\n"},"Lean.mkMDataEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L735-L735","name":"Lean.mkMDataEx","line":735,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMDataEx","doc":""},"Lean.mkMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L646-L647","name":"Lean.mkMData","line":646,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMData","doc":"`.mdata m e` is now the preferred form.\n"},"Lean.mkLocalDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/LocalContext.lean#L57-L58","name":"Lean.mkLocalDeclEx","line":57,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLocalDeclEx","doc":""},"Lean.mkLitEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L734-L734","name":"Lean.mkLitEx","line":734,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLitEx","doc":""},"Lean.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L701-L702","name":"Lean.mkLit","line":701,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLit","doc":"`.lit l` is now the preferred form.\n"},"Lean.mkListNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L386-L387","name":"Lean.mkListNode","line":386,"kind":"def","docLink":"./Lean/Syntax.html#Lean.mkListNode","doc":""},"Lean.mkLevelZeroEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L152-L152","name":"Lean.mkLevelZeroEx","line":152,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelZeroEx","doc":""},"Lean.mkLevelSuccEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L153-L153","name":"Lean.mkLevelSuccEx","line":153,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSuccEx","doc":""},"Lean.mkLevelSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L141-L142","name":"Lean.mkLevelSucc","line":141,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSucc","doc":""},"Lean.mkLevelParamEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L155-L155","name":"Lean.mkLevelParamEx","line":155,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParamEx","doc":""},"Lean.mkLevelParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L138-L139","name":"Lean.mkLevelParam","line":138,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParam","doc":""},"Lean.mkLevelMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L156-L156","name":"Lean.mkLevelMaxEx","line":156,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMaxEx","doc":""},"Lean.mkLevelMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L503-L504","name":"Lean.mkLevelMax'","line":503,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax'","doc":""},"Lean.mkLevelMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L144-L145","name":"Lean.mkLevelMax","line":144,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax","doc":""},"Lean.mkLevelMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L154-L154","name":"Lean.mkLevelMVarEx","line":154,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVarEx","doc":""},"Lean.mkLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L135-L136","name":"Lean.mkLevelMVar","line":135,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVar","doc":""},"Lean.mkLevelIMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L157-L157","name":"Lean.mkLevelIMaxEx","line":157,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMaxEx","doc":""},"Lean.mkLevelIMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L517-L518","name":"Lean.mkLevelIMax'","line":517,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax'","doc":""},"Lean.mkLevelIMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Level.lean#L147-L148","name":"Lean.mkLevelIMax","line":147,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax","doc":""},"Lean.mkLetFunAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1670-L1671","name":"Lean.mkLetFunAnnotation","line":1670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetFunAnnotation","doc":"Annotate `e` with the `let_fun` annotation. This annotation is used as hint for the delaborator.\nIf `e` is of the form `(fun x : t => b) v`, then `mkLetFunAnnotation e` is delaborated at\n`let_fun x : t := v; b`\n"},"Lean.mkLetEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L733-L733","name":"Lean.mkLetEx","line":733,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetEx","doc":""},"Lean.mkLetDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/LocalContext.lean#L60-L61","name":"Lean.mkLetDeclEx","line":60,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLetDeclEx","doc":""},"Lean.mkLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L684-L685","name":"Lean.mkLet","line":684,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLet","doc":"`.letE x t v b nonDep` is now the preferred form.\n"},"Lean.mkLambdaEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L731-L731","name":"Lean.mkLambdaEx","line":731,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambdaEx","doc":""},"Lean.mkLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L664-L665","name":"Lean.mkLambda","line":664,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambda","doc":"`.lam x t b bi` is now the preferred form.\n"},"Lean.mkLHSGoalRaw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1742-L1743","name":"Lean.mkLHSGoalRaw","line":1742,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLHSGoalRaw","doc":"Annotate `e` with the LHS annotation. The delaborator displays\nexpressions of the form `lhs = rhs` as `lhs` when they have this annotation.\nThis is used to implement the infoview for the `conv` mode.\n\nThis version of `mkLHSGoal` does not check that the argument is an equality.\n"},"Lean.mkInductiveValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L243-L256","name":"Lean.mkInductiveValEx","line":243,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveValEx","doc":""},"Lean.mkInductiveDeclEs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Declaration.lean#L165-L166","name":"Lean.mkInductiveDeclEs","line":165,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveDeclEs","doc":""},"Lean.mkInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1691-L1692","name":"Lean.mkInaccessible","line":1691,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkInaccessible","doc":"Auxiliary annotation used to mark terms marked with the \"inaccessible\" annotation `.(t)` and\n`_` in patterns.\n"},"Lean.mkIdentFromRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L507-L508","name":"Lean.mkIdentFromRef","line":507,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFromRef","doc":""},"Lean.mkIdentFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L504-L505","name":"Lean.mkIdentFrom","line":504,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFrom","doc":"Create an identifier copying the position from `src`.\nTo refer to a specific constant, use `mkCIdentFrom` instead. "},"Lean.mkIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L526-L527","name":"Lean.mkIdent","line":526,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdent","doc":""},"Lean.mkIBelowImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L15-L15","name":"Lean.mkIBelowImp","line":15,"kind":"opaque","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelowImp","doc":""},"Lean.mkIBelow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Constructions.lean#L29-L29","name":"Lean.mkIBelow","line":29,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelow","doc":""},"Lean.mkHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L548-L549","name":"Lean.mkHole","line":548,"kind":"def","docLink":"./Init/Meta.html#Lean.mkHole","doc":""},"Lean.mkHashSetImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashSet.lean#L20-L24","name":"Lean.mkHashSetImp","line":20,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSetImp","doc":""},"Lean.mkHashSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashSet.lean#L127-L128","name":"Lean.mkHashSet","line":127,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSet","doc":""},"Lean.mkHashMapImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashMap.lean#L24-L28","name":"Lean.mkHashMapImp","line":24,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMapImp","doc":""},"Lean.mkHashMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/HashMap.lean#L137-L138","name":"Lean.mkHashMap","line":137,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMap","doc":""},"Lean.mkGroupNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L529-L530","name":"Lean.mkGroupNode","line":529,"kind":"def","docLink":"./Init/Meta.html#Lean.mkGroupNode","doc":""},"Lean.mkFreshMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1766-L1767","name":"Lean.mkFreshMVarId","line":1766,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshMVarId","doc":"Polymorphic operation for generating unique/fresh metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshLMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1773-L1774","name":"Lean.mkFreshLMVarId","line":1773,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshLMVarId","doc":"Polymorphic operation for generating unique/fresh universe metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L245-L249","name":"Lean.mkFreshId","line":245,"kind":"def","docLink":"./Init/Meta.html#Lean.mkFreshId","doc":""},"Lean.mkFreshFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1759-L1760","name":"Lean.mkFreshFVarId","line":1759,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshFVarId","doc":"Polymorphic operation for generating unique/fresh free variable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkForallEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L732-L732","name":"Lean.mkForallEx","line":732,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForallEx","doc":""},"Lean.mkForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L670-L671","name":"Lean.mkForall","line":670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForall","doc":"`.forallE x t b bi` is now the preferred form.\n"},"Lean.mkFVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L726-L726","name":"Lean.mkFVarEx","line":726,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVarEx","doc":""},"Lean.mkFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L632-L633","name":"Lean.mkFVar","line":632,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVar","doc":"`.fvar fvarId` is now the preferred form.\nThis function is seldom used, free variables are often automatically created using the\ntelescope functions (e.g., `forallTelescope` and `lambdaTelescope`) at 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"},"Lean.Widget.diffHypothesesBundle.withTypeDiff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L220-L226","name":"Lean.Widget.diffHypothesesBundle.withTypeDiff","line":220,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle.withTypeDiff","doc":""},"Lean.Widget.diffHypothesesBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L203-L226","name":"Lean.Widget.diffHypothesesBundle","line":203,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle","doc":"Diffs the given hypothesis bundle against the given local context.\n\nIf `useAfter == true`, `ctx₀` is the context _before_ and `h₁` is the bundle _after_.\nIf `useAfter == false`, these are swapped.\n "},"Lean.Widget.diffHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L228-L230","name":"Lean.Widget.diffHypotheses","line":228,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypotheses","doc":""},"Lean.Widget.addInteractiveHypothesisBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveGoal.lean#L116-L130","name":"Lean.Widget.addInteractiveHypothesisBundle","line":116,"kind":"def","docLink":"./Lean/Widget/InteractiveGoal.html#Lean.Widget.addInteractiveHypothesisBundle","doc":"Extend an array of hypothesis bundles with another bundle. "},"Lean.Widget.addDiffTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/Diff.lean#L192-L194","name":"Lean.Widget.addDiffTags","line":192,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.addDiffTags","doc":"Given a `diff` between `before` and `after : Expr`, and the rendered `infoAfter : CodeWithInfos` for `after`,\nthis function decorates `infoAfter` with tags indicating where the expression has changed.\n\nIf `useAfter == false` before and after are swapped. "},"Lean.Widget.WidgetSource.sourcetext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L25-L25","name":"Lean.Widget.WidgetSource.sourcetext","line":25,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.sourcetext","doc":"Sourcetext of the code to run."},"Lean.Widget.WidgetSource.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.WidgetSource.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.mk","doc":""},"Lean.Widget.WidgetSource":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L23-L26","name":"Lean.Widget.WidgetSource","line":23,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource","doc":"A custom piece of code that is run on the editor client.\n\nThe editor can use the `Lean.Widget.getWidgetSource` RPC method to\nget this object.\n\nSee the [manual entry](doc/widgets.md) above this declaration for more information on\nhow to use the widgets system.\n\n"},"Lean.Widget.UserWidgetInstance.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L132-L132","name":"Lean.Widget.UserWidgetInstance.range?","line":132,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.range?","doc":"The location of the widget instance in the Lean file. "},"Lean.Widget.UserWidgetInstance.props":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L130-L130","name":"Lean.Widget.UserWidgetInstance.props","line":130,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.props","doc":"Arguments to be fed to the widget's main component. "},"Lean.Widget.UserWidgetInstance.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetInstance.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.mk","doc":""},"Lean.Widget.UserWidgetInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L128-L133","name":"Lean.Widget.UserWidgetInstance","line":128,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance","doc":"UserWidget accompanied by component props. "},"Lean.Widget.UserWidgetDefinition.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L40-L40","name":"Lean.Widget.UserWidgetDefinition.name","line":40,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.name","doc":"Pretty name of user widget to display to the user. "},"Lean.Widget.UserWidgetDefinition.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetDefinition.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.mk","doc":""},"Lean.Widget.UserWidgetDefinition.javascript":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L42-L42","name":"Lean.Widget.UserWidgetDefinition.javascript","line":42,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.javascript","doc":"An ESmodule that exports a react component to render. "},"Lean.Widget.UserWidgetDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L38-L43","name":"Lean.Widget.UserWidgetDefinition","line":38,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition","doc":"Use this structure and the `@[widget]` attribute to define your own widgets.\n\n```lean\n@[widget]\ndef rubiks : UserWidgetDefinition :=\n { name := \"Rubiks cube app\"\n javascript := include_str ...\n }\n```\n"},"Lean.Widget.UserWidget.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L48-L48","name":"Lean.Widget.UserWidget.name","line":48,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.name","doc":"Pretty name of widget to display to the user."},"Lean.Widget.UserWidget.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidget.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.mk","doc":""},"Lean.Widget.UserWidget.javascriptHash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L49-L49","name":"Lean.Widget.UserWidget.javascriptHash","line":49,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.javascriptHash","doc":""},"Lean.Widget.UserWidget.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L46-L46","name":"Lean.Widget.UserWidget.id","line":46,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.id","doc":""},"Lean.Widget.UserWidget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/UserWidget.lean#L45-L50","name":"Lean.Widget.UserWidget","line":45,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget","doc":""},"Lean.Widget.TaggedText.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L17-L17","name":"Lean.Widget.TaggedText.text","line":17,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.text","doc":""},"Lean.Widget.TaggedText.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L23-L23","name":"Lean.Widget.TaggedText.tag","line":23,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.tag","doc":""},"Lean.Widget.TaggedText.stripTags.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L95-L100","name":"Lean.Widget.TaggedText.stripTags.go","line":95,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags.go","doc":""},"Lean.Widget.TaggedText.stripTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L93-L100","name":"Lean.Widget.TaggedText.stripTags","line":93,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags","doc":"Remove tags, leaving just the pretty-printed string. "},"Lean.Widget.TaggedText.rewriteM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L61-L64","name":"Lean.Widget.TaggedText.rewriteM","line":61,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewriteM","doc":"Like `mapM` but allows rewriting the whole subtree at `tag` nodes. "},"Lean.Widget.TaggedText.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L54-L57","name":"Lean.Widget.TaggedText.rewrite","line":54,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewrite","doc":""},"Lean.Widget.TaggedText.prettyTagged":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L89-L90","name":"Lean.Widget.TaggedText.prettyTagged","line":89,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.prettyTagged","doc":"The output is tagged with `(tag, indent)` where `tag` is from the input `Format` and `indent`\nis the indentation level at this point. The latter is used to print sub-trees accurately by passing\nit again as the `indent` argument. "},"Lean.Widget.TaggedText.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L48-L51","name":"Lean.Widget.TaggedText.mapM","line":48,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.mapM","doc":""},"Lean.Widget.TaggedText.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L42-L45","name":"Lean.Widget.TaggedText.map","line":42,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.map","doc":""},"Lean.Widget.TaggedText.instRpcEncodableTaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L66-L68","name":"Lean.Widget.TaggedText.instRpcEncodableTaggedText","line":66,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instRpcEncodableTaggedText","doc":""},"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L76-L84","name":"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","line":76,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","doc":""},"Lean.Widget.TaggedText.instInhabitedTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L74-L74","name":"Lean.Widget.TaggedText.instInhabitedTaggedState","line":74,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instInhabitedTaggedState","doc":""},"Lean.Widget.TaggedText.appendText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L28-L33","name":"Lean.Widget.TaggedText.appendText","line":28,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendText","doc":""},"Lean.Widget.TaggedText.appendTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L35-L39","name":"Lean.Widget.TaggedText.appendTag","line":35,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendTag","doc":""},"Lean.Widget.TaggedText.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L18-L22","name":"Lean.Widget.TaggedText.append","line":18,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.append","doc":"Invariants:\n- non-empty\n- no adjacent `text` elements (they should be collapsed)\n- no directly nested `append`s (but `append #[tag _ (append ..)]` is okay) "},"Lean.Widget.TaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/TaggedText.lean#L16-L24","name":"Lean.Widget.TaggedText","line":16,"kind":"inductive","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText","doc":"The minimal structure needed to represent \"string with interesting (tagged) substrings\".\nMuch like Lean 3 [`sf`](https://github.com/leanprover-community/mathlib/blob/bfa6bbbce69149792cc009ab7f9bc146181dc051/src/tactic/interactive_expr.lean#L38),\nbut with indentation already stringified. "},"Lean.Widget.SubexprInfo.withDiffTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L57-L58","name":"Lean.Widget.SubexprInfo.withDiffTag","line":57,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.withDiffTag","doc":""},"Lean.Widget.SubexprInfo.subexprPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L34-L34","name":"Lean.Widget.SubexprInfo.subexprPos","line":34,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.subexprPos","doc":"The position of this subexpression within the top-level expression. See `Lean.SubExpr`. "},"Lean.Widget.SubexprInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L1-L1","name":"Lean.Widget.SubexprInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.mk","doc":""},"Lean.Widget.SubexprInfo.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L32-L32","name":"Lean.Widget.SubexprInfo.info","line":32,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.info","doc":"The `Elab.Info` node with the semantics of this part of the output. "},"Lean.Widget.SubexprInfo.diffStatus?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L40-L40","name":"Lean.Widget.SubexprInfo.diffStatus?","line":40,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.diffStatus?","doc":"In certain situations such as when goal states change between positions in a tactic-mode proof,\nwe can show subexpression-level diffs between two expressions. This field asks the renderer to\ndisplay the subexpression as in a diff view (e.g. red/green like `git diff`). "},"Lean.Widget.SubexprInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Widget/InteractiveCode.lean#L30-L41","name":"Lean.Widget.SubexprInfo","line":30,"kind":"structure","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo","doc":"Information about a subexpression within delaborated code. 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"},"Lean.SyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3575-L3575","name":"Lean.SyntaxNodeKind","line":3575,"kind":"def","docLink":"./Init/Prelude.html#Lean.SyntaxNodeKind","doc":"A `SyntaxNodeKind` classifies `Syntax.node` values. It is an abbreviation for\n`Name`, and you can use name literals to construct `SyntaxNodeKind`s, but\nthey need not refer to declarations in the environment. 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"},"Lean.Syntax.unsetTrailing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L398-L401","name":"Lean.Syntax.unsetTrailing","line":398,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.unsetTrailing","doc":""},"Lean.Syntax.unescapeAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L434-L438","name":"Lean.Syntax.unescapeAntiquot","line":434,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.unescapeAntiquot","doc":""},"Lean.Syntax.topDown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Syntax.lean#L249-L249","name":"Lean.Syntax.topDown","line":249,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.topDown","doc":"`for _ in stx.topDown` iterates through each node and leaf in `stx` top-down, left-to-right.\nIf `firstChoiceOnly` is `true`, only visit the first argument of each choice node.\n"},"Lean.Syntax.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L749-L752","name":"Lean.Syntax.toNat","line":749,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.toNat","doc":""},"Lean.Syntax.structEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L335-L340","name":"Lean.Syntax.structEq","line":335,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.structEq","doc":"Compare syntax structures modulo source info. "},"Lean.Syntax.splitNameLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L837-L838","name":"Lean.Syntax.splitNameLit","line":837,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.splitNameLit","doc":"Split a name literal (without the backtick) into its dot-separated components. For example,\n`foo.bla.«bo.o»` ↦ `[\"foo\", \"bla\", \"«bo.o»\"]`. If the literal cannot be parsed, return `[]`. "},"Lean.Syntax.setTailInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L384-L391","name":"Lean.Syntax.setTailInfoAux","line":384,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfoAux","doc":""},"Lean.Syntax.setTailInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L393-L396","name":"Lean.Syntax.setTailInfo","line":393,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfo","doc":""},"Lean.Syntax.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3775-L3778","name":"Lean.Syntax.setKind","line":3775,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setKind","doc":"Changes the kind at the root of a `Syntax` node to `k`.\nDoes nothing for non-`node` 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syntax node with 8 children "},"Lean.Syntax.node7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3655-L3656","name":"Lean.Syntax.node7","line":3655,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node7","doc":"Create syntax node with 7 children "},"Lean.Syntax.node6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3651-L3652","name":"Lean.Syntax.node6","line":3651,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node6","doc":"Create syntax node with 6 children "},"Lean.Syntax.node5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3647-L3648","name":"Lean.Syntax.node5","line":3647,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node5","doc":"Create syntax node with 5 children "},"Lean.Syntax.node4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3643-L3644","name":"Lean.Syntax.node4","line":3643,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node4","doc":"Create syntax node with 4 children "},"Lean.Syntax.node3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3639-L3640","name":"Lean.Syntax.node3","line":3639,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node3","doc":"Create syntax node with 3 children "},"Lean.Syntax.node2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3635-L3636","name":"Lean.Syntax.node2","line":3635,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node2","doc":"Create syntax node with 2 children 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"},"Lean.Server.Watchdog.ServerContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L134-L145","name":"Lean.Server.Watchdog.ServerContext","line":134,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.ServerContext","doc":""},"Lean.Server.Watchdog.PendingRequestMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L96-L96","name":"Lean.Server.Watchdog.PendingRequestMap","line":96,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.PendingRequestMap","doc":""},"Lean.Server.Watchdog.FileWorkerMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L132-L132","name":"Lean.Server.Watchdog.FileWorkerMap","line":132,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorkerMap","doc":""},"Lean.Server.Watchdog.FileWorker.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L117-L118","name":"Lean.Server.Watchdog.FileWorker.stdout","line":117,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdout","doc":""},"Lean.Server.Watchdog.FileWorker.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L114-L115","name":"Lean.Server.Watchdog.FileWorker.stdin","line":114,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdin","doc":""},"Lean.Server.Watchdog.FileWorker.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L104-L104","name":"Lean.Server.Watchdog.FileWorker.state","line":104,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.state","doc":""},"Lean.Server.Watchdog.FileWorker.proc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L102-L102","name":"Lean.Server.Watchdog.FileWorker.proc","line":102,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.proc","doc":""},"Lean.Server.Watchdog.FileWorker.pendingRequestsRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L110-L110","name":"Lean.Server.Watchdog.FileWorker.pendingRequestsRef","line":110,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.pendingRequestsRef","doc":"The pending requests map contains all requests\nthat have been received from the LSP client, but were not answered yet.\nWe need them for forwaring cancellation requests to the correct worker as well as cleanly aborting\nrequests on worker crashes. "},"Lean.Server.Watchdog.FileWorker.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L1-L1","name":"Lean.Server.Watchdog.FileWorker.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.mk","doc":""},"Lean.Server.Watchdog.FileWorker.errorPendingRequests":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L123-L126","name":"Lean.Server.Watchdog.FileWorker.errorPendingRequests","line":123,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.errorPendingRequests","doc":""},"Lean.Server.Watchdog.FileWorker.erasePendingRequest":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L120-L121","name":"Lean.Server.Watchdog.FileWorker.erasePendingRequest","line":120,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.erasePendingRequest","doc":""},"Lean.Server.Watchdog.FileWorker.doc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L101-L101","name":"Lean.Server.Watchdog.FileWorker.doc","line":101,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.doc","doc":""},"Lean.Server.Watchdog.FileWorker.commTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L103-L103","name":"Lean.Server.Watchdog.FileWorker.commTask","line":103,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.commTask","doc":""},"Lean.Server.Watchdog.FileWorker":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Watchdog.lean#L100-L110","name":"Lean.Server.Watchdog.FileWorker","line":100,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker","doc":""},"Lean.Server.Snapshots.server.stderrAsMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L95-L99","name":"Lean.Server.Snapshots.server.stderrAsMessages","line":95,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.server.stderrAsMessages","doc":""},"Lean.Server.Snapshots.parseNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L87-L93","name":"Lean.Server.Snapshots.parseNextCmd","line":87,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.parseNextCmd","doc":"Parses the next command occurring after the given snapshot\nwithout elaborating it. "},"Lean.Server.Snapshots.dummyTacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L24-L24","name":"Lean.Server.Snapshots.dummyTacticCache","line":24,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.dummyTacticCache","doc":""},"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L155-L161","name":"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","line":155,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","doc":"Compute the current interactive diagnostics log by finding a \"diff\" relative to the parent\nsnapshot. We need to do this because unlike the `MessageLog` itself, interactive diags are not\npart of the command state. "},"Lean.Server.Snapshots.compileNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L106-L161","name":"Lean.Server.Snapshots.compileNextCmd","line":106,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd","doc":"Compiles the next command occurring after the given snapshot. If there is no next command\n(file ended), `Snapshot.isAtEnd` will hold of the return value. "},"Lean.Server.Snapshots.Snapshot.tacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L40-L40","name":"Lean.Server.Snapshots.Snapshot.tacticCache","line":40,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.tacticCache","doc":""},"Lean.Server.Snapshots.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L33-L33","name":"Lean.Server.Snapshots.Snapshot.stx","line":33,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.stx","doc":""},"Lean.Server.Snapshots.Snapshot.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L80-L81","name":"Lean.Server.Snapshots.Snapshot.runTermElabM","line":80,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runTermElabM","doc":"Run a `TermElabM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L76-L77","name":"Lean.Server.Snapshots.Snapshot.runCoreM","line":76,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCoreM","doc":"Run a `CoreM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L66-L73","name":"Lean.Server.Snapshots.Snapshot.runCommandElabM","line":66,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCommandElabM","doc":"Use the command state in the given snapshot to run a `CommandElabM`."},"Lean.Server.Snapshots.Snapshot.msgLog":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L50-L51","name":"Lean.Server.Snapshots.Snapshot.msgLog","line":50,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.msgLog","doc":""},"Lean.Server.Snapshots.Snapshot.mpState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L34-L34","name":"Lean.Server.Snapshots.Snapshot.mpState","line":34,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mpState","doc":""},"Lean.Server.Snapshots.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L1-L1","name":"Lean.Server.Snapshots.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mk","doc":""},"Lean.Server.Snapshots.Snapshot.isAtEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L61-L62","name":"Lean.Server.Snapshots.Snapshot.isAtEnd","line":61,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.isAtEnd","doc":""},"Lean.Server.Snapshots.Snapshot.interactiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L39-L39","name":"Lean.Server.Snapshots.Snapshot.interactiveDiags","line":39,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.interactiveDiags","doc":"We cache interactive diagnostics in order not to invoke the pretty-printer again on messages\nfrom previous snapshots when publishing diagnostics for every new snapshot (this is quadratic),\nas well as not to invoke it once again when handling `$/lean/interactiveDiagnostics`. "},"Lean.Server.Snapshots.Snapshot.infoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L56-L59","name":"Lean.Server.Snapshots.Snapshot.infoTree","line":56,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.infoTree","doc":""},"Lean.Server.Snapshots.Snapshot.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L47-L48","name":"Lean.Server.Snapshots.Snapshot.env","line":47,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.env","doc":""},"Lean.Server.Snapshots.Snapshot.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L44-L45","name":"Lean.Server.Snapshots.Snapshot.endPos","line":44,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.endPos","doc":""},"Lean.Server.Snapshots.Snapshot.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L53-L54","name":"Lean.Server.Snapshots.Snapshot.diagnostics","line":53,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.diagnostics","doc":""},"Lean.Server.Snapshots.Snapshot.cmdState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L35-L35","name":"Lean.Server.Snapshots.Snapshot.cmdState","line":35,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.cmdState","doc":""},"Lean.Server.Snapshots.Snapshot.beginPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L32-L32","name":"Lean.Server.Snapshots.Snapshot.beginPos","line":32,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.beginPos","doc":"Where the command which produced this snapshot begins. Note that\nneighbouring snapshots are *not* necessarily attached beginning-to-end,\nsince inputs outside the grammar advance the parser but do not produce\nsnapshots. "},"Lean.Server.Snapshots.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Snapshots.lean#L27-L40","name":"Lean.Server.Snapshots.Snapshot","line":27,"kind":"structure","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot","doc":"What Lean knows about the world after the header and each command. "},"Lean.Server.RpcObjectStore.nextRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L44-L44","name":"Lean.Server.RpcObjectStore.nextRef","line":44,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.nextRef","doc":"Value to use for the next `RpcRef`. It is monotonically increasing to avoid any possible\nbugs resulting from its reuse. "},"Lean.Server.RpcObjectStore.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L1-L1","name":"Lean.Server.RpcObjectStore.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.mk","doc":""},"Lean.Server.RpcObjectStore.aliveRefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Rpc/Basic.lean#L41-L41","name":"Lean.Server.RpcObjectStore.aliveRefs","line":41,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.aliveRefs","doc":"Objects that are being kept alive for the RPC client, together with their type names,\nmapped to by their RPC reference.\n\nNote that we may currently have multiple references to the same object. It is only disposed\nof once all of those are gone. 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"},"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L96-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","line":96,"kind":"instance","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L34-L34","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getPos","line":34,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L33-L33","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","line":33,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.descend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L36-L37","name":"Lean.PrettyPrinter.Delaborator.SubExpr.descend","line":36,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.descend","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L95-L95","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","line":95,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L104-L105","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","line":104,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L107-L110","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","line":107,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L94-L94","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","line":94,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L93-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","line":93,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.State.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.mk","doc":""},"Lean.PrettyPrinter.Delaborator.State.infos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L48-L48","name":"Lean.PrettyPrinter.Delaborator.State.infos","line":48,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.infos","doc":"We attach `Elab.Info` at various locations in the `Syntax` output in order to convey\nits semantics. While the elaborator emits `InfoTree`s, here we have no real text location tree\nto traverse, so we use a flattened map. "},"Lean.PrettyPrinter.Delaborator.State.holeIter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L50-L50","name":"Lean.PrettyPrinter.Delaborator.State.holeIter","line":50,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.holeIter","doc":"See `SubExpr.nextExtraPos`. "},"Lean.PrettyPrinter.Delaborator.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L44-L50","name":"Lean.PrettyPrinter.Delaborator.State","line":44,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L108-L108","name":"Lean.PrettyPrinter.Delaborator.ParamKind.name","line":108,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.name","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.ParamKind.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.mk","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L113-L114","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","line":113,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L111-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","line":111,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.defVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L110-L110","name":"Lean.PrettyPrinter.Delaborator.ParamKind.defVal","line":110,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.defVal","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L109-L109","name":"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","line":109,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L107-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind","line":107,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind","doc":""},"Lean.PrettyPrinter.Delaborator.OptionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L18-L18","name":"Lean.PrettyPrinter.Delaborator.OptionsPerPos","line":18,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.OptionsPerPos","doc":""},"Lean.PrettyPrinter.Delaborator.DelabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L56-L56","name":"Lean.PrettyPrinter.Delaborator.DelabM","line":56,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.DelabM","doc":""},"Lean.PrettyPrinter.Delaborator.Delab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L57-L57","name":"Lean.PrettyPrinter.Delaborator.Delab","line":57,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Delab","doc":""},"Lean.PrettyPrinter.Delaborator.Context.subExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L42-L42","name":"Lean.PrettyPrinter.Delaborator.Context.subExpr","line":42,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Context.subExpr","doc":""},"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L38-L38","name":"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos","lin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"},"Lean.Parser.ppLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L106-L106","name":"Lean.Parser.ppLine","line":106,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppLine","doc":"No-op parser that advises the pretty printer to emit a hard line break. "},"Lean.Parser.ppIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L112-L112","name":"Lean.Parser.ppIndent","line":112,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppIndent","doc":"No-op parser combinator that advises the pretty printer to indent the given syntax without grouping it. "},"Lean.Parser.ppHardSpace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L102-L102","name":"Lean.Parser.ppHardSpace","line":102,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardSpace","doc":"No-op parser that advises the pretty printer to emit a non-breaking space. "},"Lean.Parser.ppHardLineUnlessUngrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L144-L144","name":"Lean.Parser.ppHardLineUnlessUngrouped","line":144,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardLineUnlessUngrouped","doc":"No-op parser combinator that prints a line break.\nThe line break is soft if the combinator is followed\nby an ungrouped parser (see ppAllowUngrouped), otherwise hard. "},"Lean.Parser.ppGroup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L116-L116","name":"Lean.Parser.ppGroup","line":116,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppGroup","doc":"No-op parser combinator that advises the pretty printer to group and indent the given syntax.\nBy default, only syntax categories are grouped. "},"Lean.Parser.ppDedentIfGrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L138-L138","name":"Lean.Parser.ppDedentIfGrouped","line":138,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedentIfGrouped","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax,\nif it was grouped by the category parser.\nDedenting can in particular be used to counteract automatic indentation. "},"Lean.Parser.ppDedent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Extra.lean#L120-L120","name":"Lean.Parser.ppDedent","line":120,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedent","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax.\nDedenting can in particular be used to counteract automatic indentation. 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"},"Lean.Parser.Term.unop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L516-L517","name":"Lean.Parser.Term.unop","line":516,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unop","doc":""},"Lean.Parser.Term.typeSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L199-L199","name":"Lean.Parser.Term.typeSpec","line":199,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeSpec","doc":""},"Lean.Parser.Term.typeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L535-L536","name":"Lean.Parser.Term.typeOf","line":535,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeOf","doc":""},"Lean.Parser.Term.typeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L138-L139","name":"Lean.Parser.Term.typeAscription","line":138,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeAscription","doc":"Type ascription notation: `(0 : Int)` instructs Lean to process `0` as a value of type `Int`.\nAn empty type ascription `(e :)` elaborates `e` without the expected type.\nThis is occasionally useful when Lean's heuristics for filling arguments from the expected type\ndo not yield the right result.\n"},"Lean.Parser.Term.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L109-L110","name":"Lean.Parser.Term.type","line":109,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.type","doc":"A type universe. `Type ≡ Type 0`, `Type u ≡ Sort (u + 1)`. "},"Lean.Parser.Term.tuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L141-L142","name":"Lean.Parser.Term.tuple","line":141,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.tuple","doc":"Tuple notation; `()` is short for `Unit.unit`, `(a, b, c)` for `Prod.mk a (Prod.mk b c)`, etc. "},"Lean.Parser.Term.trueVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L303-L303","name":"Lean.Parser.Term.trueVal","line":303,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trueVal","doc":""},"Lean.Parser.Term.trailing_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L376-L377","name":"Lean.Parser.Term.trailing_parser","line":376,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trailing_parser","doc":""},"Lean.Parser.Term.termUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L206-L207","name":"Lean.Parser.Term.termUnless","line":206,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termUnless","doc":"`unless e do s` is a nicer way to write `if !e do s`. "},"Lean.Parser.Term.termTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L210-L211","name":"Lean.Parser.Term.termTry","line":210,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termTry","doc":""},"Lean.Parser.Term.termReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L216-L217","name":"Lean.Parser.Term.termReturn","line":216,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termReturn","doc":"`return` used outside of `do` blocks creates an implicit block around it\nand thus is equivalent to `pure e`, but helps with avoiding parentheses.\n"},"Lean.Parser.Term.termFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L208-L209","name":"Lean.Parser.Term.termFor","line":208,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termFor","doc":""},"Lean.Parser.Term.termBeforeDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L31-L31","name":"Lean.Parser.Term.termBeforeDo","line":31,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termBeforeDo","doc":""},"Lean.Parser.Term.syntheticHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L120-L121","name":"Lean.Parser.Term.syntheticHole","line":120,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.syntheticHole","doc":""},"Lean.Parser.Term.sufficesDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L168-L169","name":"Lean.Parser.Term.sufficesDecl","line":168,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sufficesDecl","doc":""},"Lean.Parser.Term.suffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L170-L171","name":"Lean.Parser.Term.suffices","line":170,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.suffices","doc":""},"Lean.Parser.Term.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L634-L635","name":"Lean.Parser.Term.subst","line":634,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.subst","doc":"`h ▸ e` is a macro built on top of `Eq.rec` and `Eq.symm` definitions.\nGiven `h : a = b` and `e : p a`, the term `h ▸ e` has type `p b`.\nYou can also view `h ▸ e` as a \"type casting\" operation\nwhere you change the type of `e` by using `h`.\nSee the Chapter \"Quantifiers and Equality\" in the manual\n\"Theorem Proving in Lean\" for additional information.\n"},"Lean.Parser.Term.structInstLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L175-L177","name":"Lean.Parser.Term.structInstLVal","line":175,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstLVal","doc":""},"Lean.Parser.Term.structInstFieldAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L180-L182","name":"Lean.Parser.Term.structInstFieldAbbrev","line":180,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstFieldAbbrev","doc":""},"Lean.Parser.Term.structInstField":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L178-L179","name":"Lean.Parser.Term.structInstField","line":178,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstField","doc":""},"Lean.Parser.Term.structInstArrayRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L173-L174","name":"Lean.Parser.Term.structInstArrayRef","line":173,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstArrayRef","doc":""},"Lean.Parser.Term.structInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L194-L198","name":"Lean.Parser.Term.structInst","line":194,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInst","doc":"Structure instance. `{ x := e, ... }` assigns `e` to field `x`, which may be\ninherited. If `e` is itself a variable called `x`, it can be elided:\n`fun y => { x := 1, y }`.\nA *structure update* of an existing value can be given via `with`:\n`{ point with x := 1 }`.\nThe structure type can be specified if not inferable:\n`{ x := 1, y := 2 : Point }`.\n"},"Lean.Parser.Term.strictImplicitRightBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L239-L239","name":"Lean.Parser.Term.strictImplicitRightBracket","line":239,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitRightBracket","doc":""},"Lean.Parser.Term.strictImplicitLeftBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L238-L238","name":"Lean.Parser.Term.strictImplicitLeftBracket","line":238,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitLeftBracket","doc":""},"Lean.Parser.Term.strictImplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L245-L247","name":"Lean.Parser.Term.strictImplicitBinder","line":245,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitBinder","doc":"Strict-implicit binder. In contrast to `{ ... }` regular implicit binders,\na strict-implicit binder is inserted automatically only when at least one subsequent\nexplicit parameter is specified.\n"},"Lean.Parser.Term.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L104-L105","name":"Lean.Parser.Term.str","line":104,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.str","doc":""},"Lean.Parser.Term.stateRefT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L670-L671","name":"Lean.Parser.Term.stateRefT","line":670,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.stateRefT","doc":""},"Lean.Parser.Term.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L112-L113","name":"Lean.Parser.Term.sort","line":112,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sort","doc":"A specific universe in Lean's infinite hierarchy of universes. "},"Lean.Parser.Term.sorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L124-L125","name":"Lean.Parser.Term.sorry","line":124,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sorry","doc":"A temporary placeholder for a missing proof or value. "},"Lean.Parser.Term.showRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L167-L167","name":"Lean.Parser.Term.showRhs","line":167,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.showRhs","doc":""},"Lean.Parser.Term.show":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L172-L172","name":"Lean.Parser.Term.show","line":172,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.show","doc":""},"Lean.Parser.Term.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L309-L310","name":"Lean.Parser.Term.set_option","line":309,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.set_option","doc":"`set_option opt val in e` is like `set_option opt val` but scoped to a single term.\nIt sets the option `opt` to the value `val` in the term `e`.\n"},"Lean.Parser.Term.scoped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L480-L480","name":"Lean.Parser.Term.scoped","line":480,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scoped","doc":""},"Lean.Parser.Term.scientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L102-L103","name":"Lean.Parser.Term.scientific","line":102,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scientific","doc":""},"Lean.Parser.Term.quotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L382-L382","name":"Lean.Parser.Term.quotedName","line":382,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.quotedName","doc":"A literal of type `Name`. "},"Lean.Parser.Term.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L13-L14","name":"Lean.Parser.Term.quot","line":13,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.quot","doc":"Syntax quotation for terms. "},"Lean.Parser.Term.prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L115-L116","name":"Lean.Parser.Term.prop","line":115,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.prop","doc":"The universe of propositions. `Prop ≡ Sort 0`. "},"Lean.Parser.Term.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L595-L596","name":"Lean.Parser.Term.proj","line":595,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.proj","doc":"The *extended field notation* `e.f` is roughly short for `T.f e` where `T` is the type of `e`.\nMore precisely,\n* if `e` is of a function type, `e.f` is translated to `Function.f (p := e)`\n where `p` is the first explicit parameter of function type\n* if `e` is of a named type `T ...` and there is a declaration `T.f` (possibly from `export`),\n `e.f` is translated to `T.f (p := e)` where `p` is the first explicit parameter of type `T ...`\n* otherwise, if `e` is of a structure type,\n the above is repeated for every base type of the structure.\n\nThe field index notation `e.i`, where `i` is a positive number,\nis short for accessing the `i`-th field (1-indexed) of `e` if it is of a structure type. "},"Lean.Parser.Term.precheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L15-L16","name":"Lean.Parser.Term.precheckedQuot","line":15,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.precheckedQuot","doc":""},"Lean.Parser.Term.pipeProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L621-L622","name":"Lean.Parser.Term.pipeProj","line":621,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeProj","doc":"`e |>.x` is a shorthand for `(e).x`.\nIt is especially useful for avoiding parentheses with repeated applications.\n"},"Lean.Parser.Term.pipeCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L623-L624","name":"Lean.Parser.Term.pipeCompletion","line":623,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeCompletion","doc":""},"Lean.Parser.Term.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L152-L153","name":"Lean.Parser.Term.paren","line":152,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.paren","doc":"Parentheses, used for grouping expressions (e.g., `a * (b + c)`).\nCan also be used for creating simple functions when combined with `·`. Here are some examples:\n - `(· + 1)` is shorthand for `fun x => x + 1`\n - `(· + ·)` is shorthand for `fun x y => x + y`\n - `(f · a b)` is shorthand for `fun x => f x a b`\n - `(h (· + 1) ·)` is shorthand for `fun x => h (fun y => y + 1) x`\n - also applies to other parentheses-like notations such as `(·, 1)`\n"},"Lean.Parser.Term.panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L648-L649","name":"Lean.Parser.Term.panic","line":648,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.panic","doc":"`panic! msg` formally evaluates to `@Inhabited.default α` if the expected type\n`α` implements `Inhabited`.\nAt runtime, `msg` and the file position are printed to stderr unless the C\nfunction `lean_set_panic_messages(false)` has been executed before. If the C\nfunction `lean_set_exit_on_panic(true)` has been executed before, the process is\nthen aborted.\n"},"Lean.Parser.Term.optType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L200-L200","name":"Lean.Parser.Term.optType","line":200,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optType","doc":""},"Lean.Parser.Term.optSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L94-L95","name":"Lean.Parser.Term.optSemicolon","line":94,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optSemicolon","doc":""},"Lean.Parser.Term.optIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L163-L164","name":"Lean.Parser.Term.optIdent","line":163,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optIdent","doc":""},"Lean.Parser.Term.optExprPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L370-L370","name":"Lean.Parser.Term.optExprPrecedence","line":370,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optExprPrecedence","doc":""},"Lean.Parser.Term.optEllipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L183-L184","name":"Lean.Parser.Term.optEllipsis","line":183,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optEllipsis","doc":""},"Lean.Parser.Term.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L302-L303","name":"Lean.Parser.Term.open","line":302,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.open","doc":"`open Foo in e` is like `open Foo` but scoped to a single term.\nIt makes the given namespaces available in the term `e`.\n"},"Lean.Parser.Term.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L100-L101","name":"Lean.Parser.Term.num","line":100,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.num","doc":""},"Lean.Parser.Term.notFollowedByRedefinedTermToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L39-L46","name":"Lean.Parser.Term.notFollowedByRedefinedTermToken","line":39,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.notFollowedByRedefinedTermToken","doc":""},"Lean.Parser.Term.nomatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L351-L351","name":"Lean.Parser.Term.nomatch","line":351,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.nomatch","doc":"Empty match/ex falso. `nomatch e` is of arbitrary type `α : Sort u` if\nLean can show that an empty set of patterns is exhaustive given `e`'s type,\ne.g. because it has no constructors.\n"},"Lean.Parser.Term.noindex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L504-L505","name":"Lean.Parser.Term.noindex","line":504,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noindex","doc":""},"Lean.Parser.Term.noImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L541-L542","name":"Lean.Parser.Term.noImplicitLambda","line":541,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noImplicitLambda","doc":""},"Lean.Parser.Term.noErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L567-L568","name":"Lean.Parser.Term.noErrorIfUnused","line":567,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noErrorIfUnused","doc":"Helper parser for marking `match`-alternatives that should not trigger errors if unused.\nWe use them to implement `macro_rules` and `elab_rules`\n"},"Lean.Parser.Term.namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L612-L615","name":"Lean.Parser.Term.namedPattern","line":612,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedPattern","doc":"`x@e` matches the pattern `e` and binds its value to the identifier `x`. "},"Lean.Parser.Term.namedArgument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L570-L571","name":"Lean.Parser.Term.namedArgument","line":570,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedArgument","doc":""},"Lean.Parser.Term.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L309-L311","name":"Lean.Parser.Term.motive","line":309,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.motive","doc":""},"Lean.Parser.Term.matchDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L300-L301","name":"Lean.Parser.Term.matchDiscr","line":300,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchDiscr","doc":""},"Lean.Parser.Term.matchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L501-L502","name":"Lean.Parser.Term.matchAltsWhereDecls","line":501,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltsWhereDecls","doc":""},"Lean.Parser.Term.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L297-L298","name":"Lean.Parser.Term.matchAlts","line":297,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlts","doc":""},"Lean.Parser.Term.matchAltExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L292-L292","name":"Lean.Parser.Term.matchAltExpr","line":292,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltExpr","doc":"Useful for syntax quotations. Note that generic patterns such as `` `(matchAltExpr| | ... => $rhs) `` should also\nwork with other `rhsParser`s (of arity 1). "},"Lean.Parser.Term.matchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L283-L288","name":"Lean.Parser.Term.matchAlt","line":283,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlt","doc":""},"Lean.Parser.Term.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L343-L345","name":"Lean.Parser.Term.match","line":343,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.match","doc":"Pattern matching. `match e, ... with | p, ... => f | ...` matches each given\nterm `e` against each pattern `p` of a match alternative. When all patterns\nof an alternative match, the `match` term evaluates to the value of the\ncorresponding right-hand side `f` with the pattern variables bound to the\nrespective matched values.\nWhen not constructing a proof, `match` does not automatically substitute variables\nmatched on in dependent variables' types. Use `match (generalizing := true) ...` to\nenforce this.\n\nSyntax quotations can also be used in a pattern match.\nThis matches a `Syntax` value against quotations, pattern variables, or `_`.\n\nQuoted identifiers only match identical identifiers - custom matching such as by the preresolved\nnames only should be done explicitly.\n\n`Syntax.atom`s are ignored during matching by default except when part of a built-in literal.\nFor users introducing new atoms, we recommend wrapping them in dedicated syntax kinds if they\nshould participate in matching.\nFor example, in\n```lean\nsyntax \"c\" (\"foo\" <|> \"bar\") ...\n```\n`foo` and `bar` are indistinguishable during matching, but in\n```lean\nsyntax foo := \"foo\"\nsyntax \"c\" (foo <|> \"bar\") ...\n```\nthey are not.\n"},"Lean.Parser.Term.macroLastArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L667-L667","name":"Lean.Parser.Term.macroLastArg","line":667,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroLastArg","doc":""},"Lean.Parser.Term.macroDollarArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L666-L666","name":"Lean.Parser.Term.macroDollarArg","line":666,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroDollarArg","doc":""},"Lean.Parser.Term.macroArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L665-L665","name":"Lean.Parser.Term.macroArg","line":665,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroArg","doc":""},"Lean.Parser.Term.local":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L481-L481","name":"Lean.Parser.Term.local","line":481,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.local","doc":""},"Lean.Parser.Term.liftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L19-L20","name":"Lean.Parser.Term.liftMethod","line":19,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.liftMethod","doc":""},"Lean.Parser.Term.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L492-L494","name":"Lean.Parser.Term.letrec","line":492,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letrec","doc":""},"Lean.Parser.Term.let_tmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L466-L467","name":"Lean.Parser.Term.let_tmp","line":466,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_tmp","doc":"`let`-declaration that is only included in the elaborated term if variable is still there.\nIt is often used when building macros.\n"},"Lean.Parser.Term.let_fun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L455-L456","name":"Lean.Parser.Term.let_fun","line":455,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_fun","doc":"`let_fun x := v; b` is syntax sugar for `(fun x => b) v`.\nIt is very similar to `let x := v; b`, but they are not equivalent.\nIn `let_fun`, the value `v` has been abstracted away and cannot be accessed in `b`.\n"},"Lean.Parser.Term.let_delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L460-L461","name":"Lean.Parser.Term.let_delayed","line":460,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_delayed","doc":"`let_delayed x := v; b` is similar to `let x := v; b`, but `b` is elaborated before `v`.\n"},"Lean.Parser.Term.letRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L489-L490","name":"Lean.Parser.Term.letRecDecls","line":489,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecls","doc":""},"Lean.Parser.Term.letRecDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L487-L488","name":"Lean.Parser.Term.letRecDecl","line":487,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecl","doc":""},"Lean.Parser.Term.letPatDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L402-L403","name":"Lean.Parser.Term.letPatDecl","line":402,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letPatDecl","doc":""},"Lean.Parser.Term.letMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L551-L552","name":"Lean.Parser.Term.letMVar","line":551,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letMVar","doc":""},"Lean.Parser.Term.letIdLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L396-L399","name":"Lean.Parser.Term.letIdLhs","line":396,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdLhs","doc":""},"Lean.Parser.Term.letIdDeclNoBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L67-L68","name":"Lean.Parser.Term.letIdDeclNoBinders","line":67,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.letIdDeclNoBinders","doc":""},"Lean.Parser.Term.letIdDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L400-L401","name":"Lean.Parser.Term.letIdDecl","line":400,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdDecl","doc":""},"Lean.Parser.Term.letIdBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L392-L394","name":"Lean.Parser.Term.letIdBinder","line":392,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdBinder","doc":""},"Lean.Parser.Term.letEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L420-L421","name":"Lean.Parser.Term.letEqnsDecl","line":420,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letEqnsDecl","doc":""},"Lean.Parser.Term.letDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L424-L426","name":"Lean.Parser.Term.letDecl","line":424,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letDecl","doc":""},"Lean.Parser.Term.let":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L448-L449","name":"Lean.Parser.Term.let","line":448,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let","doc":"`let` is used to declare a local definition. Example:\n```\nlet x := 1\nlet y := x + 1\nx + y\n```\nSince functions are first class citizens in Lean, you can use `let` to declare\nlocal functions too.\n```\nlet double := fun x => 2*x\ndouble (double 3)\n```\nFor recursive definitions, you should use `let rec`.\nYou can also perform pattern matching using `let`. For example,\nassume `p` has type `Nat × Nat`, then you can write\n```\nlet (x, y) := p\nx + y\n```\n"},"Lean.Parser.Term.leftArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L18-L18","name":"Lean.Parser.Term.leftArrow","line":18,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.leftArrow","doc":""},"Lean.Parser.Term.leading_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L374-L375","name":"Lean.Parser.Term.leading_parser","line":374,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.leading_parser","doc":""},"Lean.Parser.Term.isIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L602-L604","name":"Lean.Parser.Term.isIdent","line":602,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.isIdent","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L638-L638","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","line":638,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L294-L295","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","line":294,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","doc":""},"Lean.Parser.Term.instBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L252-L253","name":"Lean.Parser.Term.instBinder","line":252,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instBinder","doc":"Instance-implicit binder. 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"},"Lean.Parser.Term.doAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L171-L172","name":"Lean.Parser.Term.doAssert","line":171,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.doAssert","doc":""},"Lean.Parser.Term.do":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Do.lean#L197-L198","name":"Lean.Parser.Term.do","line":197,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.do","doc":""},"Lean.Parser.Term.depArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L274-L275","name":"Lean.Parser.Term.depArrow","line":274,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.depArrow","doc":""},"Lean.Parser.Term.defaultOrOfNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L560-L561","name":"Lean.Parser.Term.defaultOrOfNonempty","line":560,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.defaultOrOfNonempty","doc":""},"Lean.Parser.Term.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L525-L525","name":"Lean.Parser.Term.declName","line":525,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.declName","doc":"A macro which evaluates to the name of the currently elaborating declaration. "},"Lean.Parser.Term.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L657-L659","name":"Lean.Parser.Term.dbgTrace","line":657,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.dbgTrace","doc":"`dbg_trace e; body` evaluates to `body` and prints `e` (which can be an\ninterpolated string literal) to stderr. It should only be used for debugging.\n"},"Lean.Parser.Term.completion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L597-L598","name":"Lean.Parser.Term.completion","line":597,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.completion","doc":""},"Lean.Parser.Term.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L548-L549","name":"Lean.Parser.Term.clear","line":548,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.clear","doc":"`clear% x; e` elaborates `x` after clearing the free variable `x` from the local context.\nIf `x` cannot be cleared (due to dependencies), it will keep `x` without failing.\n"},"Lean.Parser.Term.char":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L106-L107","name":"Lean.Parser.Term.char","line":106,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.char","doc":""},"Lean.Parser.Term.cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L130-L131","name":"Lean.Parser.Term.cdot","line":130,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.cdot","doc":"A placeholder for an implicit lambda abstraction's variable. The lambda abstraction is scoped to the surrounding parentheses.\nFor example, `(· + ·)` is equivalent to `fun x y => x + y`.\n"},"Lean.Parser.Term.byTactic'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L90-L91","name":"Lean.Parser.Term.byTactic'","line":90,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic'","doc":""},"Lean.Parser.Term.byTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L81-L82","name":"Lean.Parser.Term.byTactic","line":81,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic","doc":"`by tac` constructs a term of the expected type by running the tactic(s) `tac`. "},"Lean.Parser.Term.bracketedBinderF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L637-L637","name":"Lean.Parser.Term.bracketedBinderF","line":637,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinderF","doc":""},"Lean.Parser.Term.bracketedBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L254-L257","name":"Lean.Parser.Term.bracketedBinder","line":254,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinder","doc":""},"Lean.Parser.Term.borrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L379-L380","name":"Lean.Parser.Term.borrowed","line":379,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.borrowed","doc":""},"Lean.Parser.Term.binrel_no_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L510-L511","name":"Lean.Parser.Term.binrel_no_prop","line":510,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel_no_prop","doc":"Similar to `binrel`, but coerce `Prop` arguments into `Bool`. "},"Lean.Parser.Term.binrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L507-L508","name":"Lean.Parser.Term.binrel","line":507,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel","doc":""},"Lean.Parser.Term.binop_lazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L514-L515","name":"Lean.Parser.Term.binop_lazy","line":514,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop_lazy","doc":""},"Lean.Parser.Term.binop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L512-L513","name":"Lean.Parser.Term.binop","line":512,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop","doc":""},"Lean.Parser.Term.binderType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L213-L214","name":"Lean.Parser.Term.binderType","line":213,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderType","doc":""},"Lean.Parser.Term.binderTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L215-L216","name":"Lean.Parser.Term.binderTactic","line":215,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderTactic","doc":""},"Lean.Parser.Term.binderIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L122-L122","name":"Lean.Parser.Term.binderIdent","line":122,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderIdent","doc":""},"Lean.Parser.Term.binderDefault.parenthesizer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L221-L228","name":"Lean.Parser.Term.binderDefault.parenthesizer","line":221,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault.parenthesizer","doc":""},"Lean.Parser.Term.binderDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L217-L218","name":"Lean.Parser.Term.binderDefault","line":217,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault","doc":""},"Lean.Parser.Term.basicFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L365-L366","name":"Lean.Parser.Term.basicFun","line":365,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.basicFun","doc":""},"Lean.Parser.Term.attributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L485-L486","name":"Lean.Parser.Term.attributes","line":485,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attributes","doc":""},"Lean.Parser.Term.attrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L482-L482","name":"Lean.Parser.Term.attrKind","line":482,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrKind","doc":""},"Lean.Parser.Term.attrInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L483-L483","name":"Lean.Parser.Term.attrInstance","line":483,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrInstance","doc":""},"Lean.Parser.Term.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L661-L662","name":"Lean.Parser.Term.assert","line":661,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.assert","doc":"`assert! cond` panics if `cond` evaluates to `false`. "},"Lean.Parser.Term.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L599-L600","name":"Lean.Parser.Term.arrow","line":599,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.arrow","doc":""},"Lean.Parser.Term.argument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L574-L577","name":"Lean.Parser.Term.argument","line":574,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.argument","doc":""},"Lean.Parser.Term.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L581-L581","name":"Lean.Parser.Term.app","line":581,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.app","doc":""},"Lean.Parser.Term.anonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L161-L162","name":"Lean.Parser.Term.anonymousCtor","line":161,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.anonymousCtor","doc":"The *anonymous constructor* `⟨e, ...⟩` is equivalent to `c e ...` if the\nexpected type is an inductive type with a single constructor `c`.\nIf more terms are given than `c` has parameters, the remaining arguments\nare turned into a new anonymous constructor application. For example,\n`⟨a, b, c⟩ : α × (β × γ)` is equivalent to `⟨a, ⟨b, c⟩⟩`.\n"},"Lean.Parser.Tactic.«tactic_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L245-L250","name":"Lean.Parser.Tactic.«tactic_<;>_»","line":245,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tactic_<;>_»","doc":"`tac <;> tac'` runs `tac` on the main goal and `tac'` on each produced goal,\nconcatenating all goals produced by `tac'`.\n"},"Lean.Parser.Tactic.«tacticNext_=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L165-L165","name":"Lean.Parser.Tactic.«tacticNext_=>_»","line":165,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticNext_=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.«tacticHave'_:=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L514-L514","name":"Lean.Parser.Tactic.«tacticHave'_:=_»","line":514,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticHave'_:=_»","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.«tacticExists_,,»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L730-L731","name":"Lean.Parser.Tactic.«tacticExists_,,»","line":730,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticExists_,,»","doc":"`exists e₁, e₂, ...` is shorthand for `refine ⟨e₁, e₂, ...⟩; try trivial`.\nIt is useful for existential goals.\n"},"Lean.Parser.Tactic.withUnfoldingAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L216-L220","name":"Lean.Parser.Tactic.withUnfoldingAll","line":216,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withUnfoldingAll","doc":"`with_unfolding_all tacs` excutes `tacs` using the `.all` transparency setting.\nIn this setting all definitions that are not opaque are unfolded.\n"},"Lean.Parser.Tactic.withReducibleAndInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L210-L214","name":"Lean.Parser.Tactic.withReducibleAndInstances","line":210,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducibleAndInstances","doc":"`with_reducible_and_instances tacs` excutes `tacs` using the `.instances` transparency setting.\nIn this setting only definitions tagged as `[reducible]` or type class instances are unfolded.\n"},"Lean.Parser.Tactic.withReducible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L204-L208","name":"Lean.Parser.Tactic.withReducible","line":204,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducible","doc":"`with_reducible tacs` excutes `tacs` using the reducible transparency setting.\nIn this setting only definitions tagged as `[reducible]` are unfolded.\n"},"Lean.Parser.Tactic.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L11-L16","name":"Lean.Parser.Tactic.withAnnotateState","line":11,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L22-L23","name":"Lean.Parser.Tactic.unknown","line":22,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.unknown","doc":""},"Lean.Parser.Tactic.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L453-L461","name":"Lean.Parser.Tactic.unfold","line":453,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.unfold","doc":"* `unfold id` unfolds definition `id`.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\n\nFor non-recursive definitions, this tactic is identical to `delta`.\nFor definitions by pattern matching, it uses \"equation lemmas\" which are\nautogenerated for each match arm.\n"},"Lean.Parser.Tactic.traceState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L188-L189","name":"Lean.Parser.Tactic.traceState","line":188,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceState","doc":"`trace_state` displays the current state in the info view. "},"Lean.Parser.Tactic.traceMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L191-L192","name":"Lean.Parser.Tactic.traceMessage","line":191,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceMessage","doc":"`trace msg` displays `msg` in the info view. "},"Lean.Parser.Tactic.tacticUnhygienic_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L690-L690","name":"Lean.Parser.Tactic.tacticUnhygienic_","line":690,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticUnhygienic_","doc":"`unhygienic tacs` runs `tacs` with name hygiene disabled.\nThis means that tactics that would normally create inaccessible names will instead\nmake regular variables. **Warning**: Tactics may change their variable naming\nstrategies at any time, so code that depends on autogenerated names is brittle.\nUsers should try not to use `unhygienic` if possible.\n```\nexample : ∀ x : Nat, x = x := by unhygienic\n intro -- x would normally be intro'd as inaccessible\n exact Eq.refl x -- refer to x\n```\n"},"Lean.Parser.Tactic.tacticTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L239-L239","name":"Lean.Parser.Tactic.tacticTry_","line":239,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.tacticTrivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L618-L626","name":"Lean.Parser.Tactic.tacticTrivial","line":618,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTrivial","doc":"`trivial` tries different simple tactics (e.g., `rfl`, `contradiction`, ...)\nto close the current goal.\nYou can use the command `macro_rules` to extend the set of tactics used. Example:\n```\nmacro_rules | `(tactic| trivial) => `(tactic| simp)\n```\n"},"Lean.Parser.Tactic.tacticSuffices_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L488-L488","name":"Lean.Parser.Tactic.tacticSuffices_","line":488,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSuffices_","doc":"Given a main goal `ctx ⊢ t`, `suffices h : t' from e` replaces the main goal with `ctx ⊢ t'`,\n`e` must have type `t` in the context `ctx, h : t'`.\n\nThe variant `suffices h : t' by tac` is a shorthand for `suffices h : t' from by tac`.\nIf `h :` is omitted, the name `this` is used.\n "},"Lean.Parser.Tactic.tacticStop_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L659-L659","name":"Lean.Parser.Tactic.tacticStop_","line":659,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticStop_","doc":"`stop` is a helper tactic for \"discarding\" the rest of a proof:\nit is defined as `repeat sorry`.\nIt is useful when working on the middle of a complex proofs,\nand less messy than commenting the remainder of the proof.\n"},"Lean.Parser.Tactic.tacticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L286-L286","name":"Lean.Parser.Tactic.tacticSorry","line":286,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSorry","doc":"The `sorry` tactic closes the goal using `sorryAx`. This is intended for stubbing out incomplete\nparts of a proof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n"},"Lean.Parser.Tactic.tacticShow_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L502-L502","name":"Lean.Parser.Tactic.tacticShow_","line":502,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticShow_","doc":"`show t` finds the first goal whose target unifies with `t`. It makes that the main goal,\nperforms the unification, and replaces the target with the unified version of `t`.\n"},"Lean.Parser.Tactic.tacticSeqIndentGt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L64-L65","name":"Lean.Parser.Tactic.tacticSeqIndentGt","line":64,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqIndentGt","doc":"Same as [`tacticSeq`] but requires delimiter-free tactic sequence to have strict indentation.\nThe strict indentation requirement only apply to *nested* `by`s, as top-level `by`s do not have a\nposition set. "},"Lean.Parser.Tactic.tacticSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L53-L54","name":"Lean.Parser.Tactic.tacticSeqBracketed","line":53,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqBracketed","doc":"The syntax `{ tacs }` is an alternative syntax for `· tacs`.\nIt runs the tactics in sequence, and fails if the goal is not solved. "},"Lean.Parser.Tactic.tacticSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L49-L50","name":"Lean.Parser.Tactic.tacticSeq1Indented","line":49,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq1Indented","doc":""},"Lean.Parser.Tactic.tacticSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L58-L59","name":"Lean.Parser.Tactic.tacticSeq","line":58,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq","doc":"A sequence of tactics in brackets, or a delimiter-free indented sequence of tactics.\nDelimiter-free indentation is determined by the *first* tactic of the sequence. "},"Lean.Parser.Tactic.tacticRfl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L266-L266","name":"Lean.Parser.Tactic.tacticRfl'","line":266,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl'","doc":"`rfl'` is similar to `rfl`, but disables smart unfolding and unfolds all kinds of definitions,\ntheorems included (relevant for declarations defined by well-founded recursion).\n"},"Lean.Parser.Tactic.tacticRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L260-L260","name":"Lean.Parser.Tactic.tacticRfl","line":260,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl","doc":"`rfl` tries to close the current goal using reflexivity.\nThis is supposed to be an extensible tactic and users can add their own support\nfor new reflexive relations.\n"},"Lean.Parser.Tactic.tacticRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L609-L614","name":"Lean.Parser.Tactic.tacticRepeat_","line":609,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRepeat_","doc":"`repeat tac` repeatedly applies `tac` to the main goal until it fails.\nThat is, if `tac` produces multiple subgoals, only subgoals up to the first failure will be visited.\nThe `Std` library provides `repeat'` which repeats separately in each subgoal.\n"},"Lean.Parser.Tactic.tacticRefine_lift_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L467-L467","name":"Lean.Parser.Tactic.tacticRefine_lift_","line":467,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift_","doc":"Auxiliary macro for lifting have/suffices/let/...\nIt makes sure the \"continuation\" `?_` is the main goal after refining.\n"},"Lean.Parser.Tactic.tacticRefine_lift'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L510-L510","name":"Lean.Parser.Tactic.tacticRefine_lift'_","line":510,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift'_","doc":"Similar to `refine_lift`, but using `refine'` "},"Lean.Parser.Tactic.tacticLet_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L497-L497","name":"Lean.Parser.Tactic.tacticLet_","line":497,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet_","doc":"`let h : t := e` adds the hypothesis `h : t := e` to the current goal if `e` a term of type `t`.\nIf `t` is omitted, it will be inferred.\nThe variant `let pattern := e` is equivalent to `match e with | pattern => _`,\nand it is convenient for types that have only applicable constructor.\nExample: given `h : p ∧ q ∧ r`, `let ⟨h₁, h₂, h₃⟩ := h` produces the hypotheses\n`h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticLet'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L516-L516","name":"Lean.Parser.Tactic.tacticLet'_","line":516,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet'_","doc":"Similar to `let`, but using `refine'` "},"Lean.Parser.Tactic.tacticInfer_instance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L295-L295","name":"Lean.Parser.Tactic.tacticInfer_instance","line":295,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticInfer_instance","doc":"`infer_instance` is an abbreviation for `exact inferInstance`.\nIt synthesizes a value of any target type by typeclass inference.\n"},"Lean.Parser.Tactic.tacticHave_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L479-L479","name":"Lean.Parser.Tactic.tacticHave_","line":479,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave_","doc":"`have h : t := e` adds the hypothesis `h : t` to the current goal if `e` a term\nof type `t`.\n* If `t` is omitted, it will be inferred.\n* If `h` is omitted, the name `this` is used.\n* The variant `have pattern := e` is equivalent to `match e with | pattern => _`,\n and it is convenient for types that have only one applicable constructor.\n For example, given `h : p ∧ q ∧ r`, `have ⟨h₁, h₂, h₃⟩ := h` produces the\n hypotheses `h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticHave'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L512-L512","name":"Lean.Parser.Tactic.tacticHave'_","line":512,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave'_","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.tacticErw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1298-L1299","name":"Lean.Parser.Tactic.tacticErw__","line":1298,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.tacticErw__","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.tacticAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L289-L289","name":"Lean.Parser.Tactic.tacticAdmit","line":289,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticAdmit","doc":"`admit` is a shorthand for `exact sorry`. "},"Lean.Parser.Tactic.substVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L72-L75","name":"Lean.Parser.Tactic.substVars","line":72,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.substVars","doc":"Applies `subst` to all hypotheses of the form `h : x = t` or `h : t = x`.\n"},"Lean.Parser.Tactic.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L65-L70","name":"Lean.Parser.Tactic.subst","line":65,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.subst","doc":"`subst x...` substitutes each `x` with `e` in the goal if there is a hypothesis\nof type `x = e` or `e = x`.\nIf `x` is itself a hypothesis of type `y = e` or `e = y`, `y` is substituted instead.\n"},"Lean.Parser.Tactic.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L628-L640","name":"Lean.Parser.Tactic.split","line":628,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.split","doc":"The `split` tactic is useful for breaking nested if-then-else and `match` expressions into separate cases.\nFor a `match` expression with `n` cases, the `split` tactic generates at most `n` subgoals.\n\nFor example, given `n : Nat`, and a target `if n = 0 then Q else R`, `split` will generate\none goal with hypothesis `n = 0` and target `Q`, and a second goal with hypothesis\n`¬n = 0` and target `R`. Note that the introduced hypothesis is unnamed, and is commonly\nrenamed used the `case` or `next` tactics.\n\n- `split` will split the goal (target).\n- `split at h` will split the hypothesis `h`.\n"},"Lean.Parser.Tactic.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L661-L669","name":"Lean.Parser.Tactic.specialize","line":661,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.specialize","doc":"The tactic `specialize h a₁ ... aₙ` works on local hypothesis `h`.\nThe premises of this hypothesis, either universal quantifications or\nnon-dependent implications, are instantiated by concrete terms coming\nfrom arguments `a₁` ... `aₙ`.\nThe tactic adds a new hypothesis with the same name `h := h a₁ ... aₙ`\nand tries to clear the previous one.\n"},"Lean.Parser.Tactic.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L720-L724","name":"Lean.Parser.Tactic.sleep","line":720,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.sleep","doc":"The tactic `sleep ms` sleeps for `ms` milliseconds and does nothing.\nIt is used for debugging purposes only.\n"},"Lean.Parser.Tactic.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L182-L183","name":"Lean.Parser.Tactic.skip","line":182,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.simpStar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L406-L407","name":"Lean.Parser.Tactic.simpStar","line":406,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpStar","doc":"The simp lemma specification `*` means to rewrite with all hypotheses "},"Lean.Parser.Tactic.simpPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L393-L394","name":"Lean.Parser.Tactic.simpPre","line":393,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPre","doc":"Use this rewrite rule before entering the subterms "},"Lean.Parser.Tactic.simpPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L395-L396","name":"Lean.Parser.Tactic.simpPost","line":395,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPost","doc":"Use this rewrite rule after entering the subterms "},"Lean.Parser.Tactic.simpLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L397-L403","name":"Lean.Parser.Tactic.simpLemma","line":397,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpLemma","doc":"A simp lemma specification is:\n* optional `↑` or `↓` to specify use before or after entering the subterm\n* optional `←` to use the lemma backward\n* `thm` for the theorem to rewrite with\n"},"Lean.Parser.Tactic.simpErase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L404-L405","name":"Lean.Parser.Tactic.simpErase","line":404,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpErase","doc":"An erasure specification `-thm` says to remove `thm` from the simp set "},"Lean.Parser.Tactic.simpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1324-L1327","name":"Lean.Parser.Tactic.simpAutoUnfold","line":1324,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAutoUnfold","doc":"`simp!` is shorthand for `simp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1333-L1336","name":"Lean.Parser.Tactic.simpArithAutoUnfold","line":1333,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArithAutoUnfold","doc":"`simp_arith!` is shorthand for `simp_arith` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1329-L1331","name":"Lean.Parser.Tactic.simpArith","line":1329,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArith","doc":"`simp_arith` is shorthand for `simp` with `arith := true`.\nThis enables the use of normalization by linear arithmetic. "},"Lean.Parser.Tactic.simpAllKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1301-L1301","name":"Lean.Parser.Tactic.simpAllKind","line":1301,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllKind","doc":""},"Lean.Parser.Tactic.simpAllAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1338-L1341","name":"Lean.Parser.Tactic.simpAllAutoUnfold","line":1338,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllAutoUnfold","doc":"`simp_all!` is shorthand for `simp_all` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpAllArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1346-L1347","name":"Lean.Parser.Tactic.simpAllArithAutoUnfold","line":1346,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArithAutoUnfold","doc":"`simp_all_arith!` combines the effects of `simp_all`, `simp_arith` and `simp!`. "},"Lean.Parser.Tactic.simpAllArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1343-L1344","name":"Lean.Parser.Tactic.simpAllArith","line":1343,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArith","doc":"`simp_all_arith` combines the effects of `simp_all` and `simp_arith`. "},"Lean.Parser.Tactic.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L430-L436","name":"Lean.Parser.Tactic.simpAll","line":430,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpAll","doc":"`simp_all` is a stronger version of `simp [*] at *` where the hypotheses and target\nare simplified multiple times until no simplication is applicable.\nOnly non-dependent propositional hypotheses are considered.\n"},"Lean.Parser.Tactic.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L408-L429","name":"Lean.Parser.Tactic.simp","line":408,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simp","doc":"The `simp` tactic uses lemmas and hypotheses to simplify the main goal target or\nnon-dependent hypotheses. It has many variants:\n- `simp` simplifies the main goal target using lemmas tagged with the attribute `[simp]`.\n- `simp [h₁, h₂, ..., hₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]` and the given `hᵢ`'s, where the `hᵢ`'s are expressions.\n If an `hᵢ` is a defined constant `f`, then the equational lemmas associated with\n `f` are used. This provides a convenient way to unfold `f`.\n- `simp [*]` simplifies the main goal target using the lemmas tagged with the\n attribute `[simp]` and all hypotheses.\n- `simp only [h₁, h₂, ..., hₙ]` is like `simp [h₁, h₂, ..., hₙ]` but does not use `[simp]` lemmas.\n- `simp [-id₁, ..., -idₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]`, but removes the ones named `idᵢ`.\n- `simp at h₁ h₂ ... hₙ` simplifies the hypotheses `h₁ : T₁` ... `hₙ : Tₙ`. If\n the target or another hypothesis depends on `hᵢ`, a new simplified hypothesis\n `hᵢ` is introduced, but the old one remains in the local context.\n- `simp at *` simplifies all the hypotheses and the target.\n- `simp [*] at *` simplifies target and all (propositional) hypotheses using the\n other hypotheses.\n"},"Lean.Parser.Tactic.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L321-L322","name":"Lean.Parser.Tactic.set_option","line":321,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.set_option","doc":"`set_option opt val in tacs` (the tactic) acts like `set_option opt val` at the command level,\nbut it sets the option only within the tactics `tacs`. "},"Lean.Parser.Tactic.seq1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L68-L69","name":"Lean.Parser.Tactic.seq1","line":68,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.seq1","doc":""},"Lean.Parser.Tactic.sepByIndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L38-L39","name":"Lean.Parser.Tactic.sepByIndentSemicolon","line":38,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepByIndentSemicolon","doc":""},"Lean.Parser.Tactic.sepBy1IndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L42-L43","name":"Lean.Parser.Tactic.sepBy1IndentSemicolon","line":42,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepBy1IndentSemicolon","doc":""},"Lean.Parser.Tactic.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L718-L718","name":"Lean.Parser.Tactic.save","line":718,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.save","doc":"`save` is defined to be the same as `skip`, but the elaborator has\nspecial handling for occurrences of `save` in tactic scripts and will transform\n`by tac1; save; tac2` to `by (checkpoint tac1); tac2`, meaning that the effect of `tac1`\nwill be cached and replayed. This is useful for improving responsiveness\nwhen working on a long tactic proof, by using `save` after expensive tactics.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.rwSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L359-L364","name":"Lean.Parser.Tactic.rwSeq","line":359,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwSeq","doc":"`rw` is like `rewrite`, but also tries to close the goal by \"cheap\" (reducible) `rfl` afterwards.\n"},"Lean.Parser.Tactic.rwRuleSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L341-L342","name":"Lean.Parser.Tactic.rwRuleSeq","line":341,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRuleSeq","doc":"A `rwRuleSeq` is a list of `rwRule` in brackets. "},"Lean.Parser.Tactic.rwRule":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L335-L340","name":"Lean.Parser.Tactic.rwRule","line":335,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRule","doc":"If `thm` is a theorem `a = b`, then as a rewrite rule,\n* `thm` means to replace `a` with `b`, and\n* `← thm` means to replace `b` with `a`.\n"},"Lean.Parser.Tactic.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L232-L236","name":"Lean.Parser.Tactic.rotateRight","line":232,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateRight","doc":"Rotate the goals to the right by `n`. That is, take the goal at the back\nand push it to the front `n` times. If `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L225-L230","name":"Lean.Parser.Tactic.rotateLeft","line":225,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateLeft","doc":"`rotate_left n` rotates goals to the left by `n`. That is, `rotate_left 1`\ntakes the main goal and puts it to the back of the subgoal list.\nIf `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rewriteSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L344-L354","name":"Lean.Parser.Tactic.rewriteSeq","line":344,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rewriteSeq","doc":"`rewrite [e]` applies identity `e` as a rewrite rule to the target of the main goal.\nIf `e` is preceded by left arrow (`←` or `<-`), the rewrite is applied in the reverse direction.\nIf `e` is a defined constant, then the equational theorems associated with `e` are used.\nThis provides a convenient way to unfold `e`.\n- `rewrite [e₁, ..., eₙ]` applies the given rules sequentially.\n- `rewrite [e] at l` rewrites `e` at location(s) `l`, where `l` is either `*` or a\n list of hypotheses in the local context. In the latter case, a turnstile `⊢` or `|-`\n can also be used, to signify the target of the goal.\n"},"Lean.Parser.Tactic.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L53-L57","name":"Lean.Parser.Tactic.revert","line":53,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.revert","doc":"`revert x...` is the inverse of `intro x...`: it moves the given hypotheses\ninto the main goal's target type.\n"},"Lean.Parser.Tactic.renameI":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L606-L607","name":"Lean.Parser.Tactic.renameI","line":606,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.renameI","doc":"`rename_i x_1 ... x_n` renames the last `n` inaccessible names using the given names. "},"Lean.Parser.Tactic.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L47-L51","name":"Lean.Parser.Tactic.rename","line":47,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rename","doc":"`rename t => x` renames the most recent hypothesis whose type matches `t`\n(which may contain placeholders) to `x`, or fails if no such hypothesis could be found.\n"},"Lean.Parser.Tactic.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L252-L253","name":"Lean.Parser.Tactic.refl","line":252,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refl","doc":"`eq_refl` is equivalent to `exact rfl`, but has a few optimizations. "},"Lean.Parser.Tactic.refine'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L131-L135","name":"Lean.Parser.Tactic.refine'","line":131,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine'","doc":"`refine' e` behaves like `refine e`, except that unsolved placeholders (`_`)\nand implicit parameters are also converted into new goals.\n"},"Lean.Parser.Tactic.refine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L124-L129","name":"Lean.Parser.Tactic.refine","line":124,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine","doc":"`refine e` behaves like `exact e`, except that named (`?x`) or unnamed (`?_`)\nholes in `e` that are not solved by unification with the main goal's target type\nare converted into new goals, using the hole's name, if any, as the goal case name.\n"},"Lean.Parser.Tactic.quotSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L683-L684","name":"Lean.Parser.Tactic.quotSeq","line":683,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quotSeq","doc":""},"Lean.Parser.Tactic.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Term.lean#L681-L682","name":"Lean.Parser.Tactic.quot","line":681,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quot","doc":""},"Lean.Parser.Tactic.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L197-L202","name":"Lean.Parser.Tactic.paren","line":197,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.paren","doc":"`(tacs)` executes a list of tactics in sequence, without requiring that\nthe goal be closed at the end like `· tacs`. Like `by` itself, the tactics\ncan be either separated by newlines or `;`.\n"},"Lean.Parser.Tactic.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Command.lean#L316-L317","name":"Lean.Parser.Tactic.open","line":316,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.open","doc":"`open Foo in tacs` (the tactic) acts like `open Foo` at command level,\nbut it opens a namespace only within the tactics `tacs`. "},"Lean.Parser.Tactic.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L25-L25","name":"Lean.Parser.Tactic.nestedTactic","line":25,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nestedTactic","doc":""},"Lean.Parser.Tactic.nativeDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L92-L93","name":"Lean.Parser.Tactic.nativeDecide","line":92,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nativeDecide","doc":"`native_decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Unlike `decide`, this\nuses `#eval` to evaluate the decidability instance.\n\nThis should be used with care because it adds the entire lean compiler to the trusted\npart, and the axiom `ofReduceBool` will show up in `#print axioms` for theorems using\nthis method or anything that transitively depends on them. Nevertheless, because it is\ncompiled, this can be significantly more efficient than using `decide`, and for very\nlarge computations this is one way to run external programs and trust the result.\n```\nexample : (List.range 1000).length = 1000 := by native_decide\n```\n"},"Lean.Parser.Tactic.matchRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L27-L27","name":"Lean.Parser.Tactic.matchRhs","line":27,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchRhs","doc":""},"Lean.Parser.Tactic.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L28-L28","name":"Lean.Parser.Tactic.matchAlts","line":28,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchAlts","doc":""},"Lean.Parser.Tactic.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L43-L46","name":"Lean.Parser.Tactic.match","line":43,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.match","doc":"`match` performs case analysis on one or more expressions.\nSee [Induction and Recursion][tpil4].\nThe syntax for the `match` tactic is the same as term-mode `match`, except that\nthe match arms are tactics instead of expressions.\n```\nexample (n : Nat) : n = n := by\n match n with\n | 0 => rfl\n | i+1 => simp\n```\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/induction_and_recursion.html\n"},"Lean.Parser.Tactic.locationWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L300-L301","name":"Lean.Parser.Tactic.locationWildcard","line":300,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationWildcard","doc":"The `*` location refers to all hypotheses and the goal. "},"Lean.Parser.Tactic.locationHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L303-L307","name":"Lean.Parser.Tactic.locationHyp","line":303,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationHyp","doc":"A hypothesis location specification consists of 1 or more hypothesis references\nand optionally `⊢` denoting the goal.\n"},"Lean.Parser.Tactic.location":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L309-L318","name":"Lean.Parser.Tactic.location","line":309,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.location","doc":"Location specifications are used by many tactics that can operate on either the\nhypotheses or the goal. It can have one of the forms:\n* 'empty' is not actually present in this syntax, but most tactics use\n `(location)?` matchers. It means to target the goal only.\n* `at h₁ ... hₙ`: target the hypotheses `h₁`, ..., `hₙ`\n* `at h₁ h₂ ⊢`: target the hypotheses `h₁` and `h₂`, and the goal\n* `at *`: target all hypotheses and the goal\n"},"Lean.Parser.Tactic.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L503-L505","name":"Lean.Parser.Tactic.letrec","line":503,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.letrec","doc":"`let rec f : t := e` adds a recursive definition `f` to the current goal.\nThe syntax is the same as term-mode `let rec`. "},"Lean.Parser.Tactic.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L41-L45","name":"Lean.Parser.Tactic.intros","line":41,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intros","doc":"`intros x...` behaves like `intro x...`, but then keeps introducing (anonymous)\nhypotheses until goal is not of a function type.\n"},"Lean.Parser.Tactic.introMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L65-L66","name":"Lean.Parser.Tactic.introMatch","line":65,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.introMatch","doc":"The tactic\n```\nintro\n| pat1 => tac1\n| pat2 => tac2\n```\nis the same as:\n```\nintro x\nmatch x with\n| pat1 => tac1\n| pat2 => tac2\n```\nThat is, `intro` can be followed by match arms and it introduces the values while\ndoing a pattern match. This is equivalent to `fun` with match arms in term mode.\n"},"Lean.Parser.Tactic.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L18-L39","name":"Lean.Parser.Tactic.intro","line":18,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intro","doc":"Introduces one or more hypotheses, optionally naming and/or pattern-matching them.\nFor each hypothesis to be introduced, the remaining main goal's target type must\nbe a `let` or function type.\n\n* `intro` by itself introduces one anonymous hypothesis, which can be accessed\n by e.g. `assumption`.\n* `intro x y` introduces two hypotheses and names them. Individual hypotheses\n can be anonymized via `_`, or matched against a pattern:\n ```lean\n -- ... ⊢ α × β → ...\n intro (a, b)\n -- ..., a : α, b : β ⊢ ...\n ```\n* Alternatively, `intro` can be combined with pattern matching much like `fun`:\n ```lean\n intro\n | n + 1, 0 => tac\n | ...\n ```\n"},"Lean.Parser.Tactic.injections":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L381-L385","name":"Lean.Parser.Tactic.injections","line":381,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injections","doc":"`injections` applies `injection` to all hypotheses recursively\n(since `injection` can produce new hypotheses). Useful for destructing nested\nconstructor equalities like `(a::b::c) = (d::e::f)`. "},"Lean.Parser.Tactic.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L366-L379","name":"Lean.Parser.Tactic.injection","line":366,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injection","doc":"The `injection` tactic is based on the fact that constructors of inductive data\ntypes are injections.\nThat means that if `c` is a constructor of an inductive datatype, and if `(c t₁)`\nand `(c t₂)` are two terms that are equal then `t₁` and `t₂` are equal too.\nIf `q` is a proof of a statement of conclusion `t₁ = t₂`, then injection applies\ninjectivity to derive the equality of all arguments of `t₁` and `t₂` placed in\nthe same positions. For example, from `(a::b) = (c::d)` we derive `a=c` and `b=d`.\nTo use this tactic `t₁` and `t₂` should be constructor applications of the same constructor.\nGiven `h : a::b = c::d`, the tactic `injection h` adds two new hypothesis with types\n`a = c` and `b = d` to the main goal.\nThe tactic `injection h with h₁ h₂` uses the names `h₁` and `h₂` to name the new hypotheses.\n"},"Lean.Parser.Tactic.inductionAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L529-L533","name":"Lean.Parser.Tactic.inductionAlts","line":529,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlts","doc":"After `with`, there is an optional tactic that runs on all branches, and\nthen a list of alternatives.\n"},"Lean.Parser.Tactic.inductionAltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L518-L523","name":"Lean.Parser.Tactic.inductionAltLHS","line":518,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAltLHS","doc":"The left hand side of an induction arm, `| foo a b c` or `| @foo a b c`\nwhere `foo` is a constructor of the inductive type and `a b c` are the arguments\nto the contstructor.\n"},"Lean.Parser.Tactic.inductionAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L524-L528","name":"Lean.Parser.Tactic.inductionAlt","line":524,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlt","doc":"In induction alternative, which can have 1 or more cases on the left\nand `_`, `?_`, or a tactic sequence after the `=>`.\n"},"Lean.Parser.Tactic.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L535-L562","name":"Lean.Parser.Tactic.induction","line":535,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.induction","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`induction x` applies induction on `x` to the main goal,\nproducing one goal for each constructor of the inductive type,\nin which the target is replaced by a general instance of that constructor\nand an inductive hypothesis is added for each recursive argument to the constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the inductive hypothesis incorporates that hypothesis as well.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`induction n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypotheses `h : P (Nat.succ a)` and `ih₁ : P a → Q a` and target `Q (Nat.succ a)`.\nHere the names `a` and `ih₁` are chosen automatically and are not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `induction e`, where `e` is an expression instead of a variable,\n generalizes `e` in the goal, and then performs induction on the resulting variable.\n- `induction e using r` allows the user to specify the principle of induction that should be used.\n Here `r` should be a theorem whose result type must be of the form `C t`,\n where `C` is a bound variable and `t` is a (possibly empty) sequence of bound variables\n- `induction e generalizing z₁ ... zₙ`, where `z₁ ... zₙ` are variables in the local context,\n generalizes over `z₁ ... zₙ` before applying the induction but then introduces them in each goal.\n In other words, the net effect is that each inductive hypothesis is generalized.\n- Given `x : Nat`, `induction x with | zero => tac₁ | succ x' ih => tac₂`\n uses tactic `tac₁` for the `zero` case, and `tac₂` for the `succ` case.\n"},"Lean.Parser.Tactic.generalizeArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L564-L565","name":"Lean.Parser.Tactic.generalizeArg","line":564,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalizeArg","doc":"A `generalize` argument, of the form `term = x` or `h : term = x`. "},"Lean.Parser.Tactic.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L567-L574","name":"Lean.Parser.Tactic.generalize","line":567,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalize","doc":"* `generalize ([h :] e = x),+` replaces all occurrences `e`s in the main goal\n with a fresh hypothesis `x`s. If `h` is given, `h : e = x` is introduced as well.\n* `generalize e = x at h₁ ... hₙ` also generalizes occurrences of `e`\n inside `h₁`, ..., `hₙ`.\n* `generalize e = x at *` will generalize occurrences of `e` everywhere.\n"},"Lean.Parser.Tactic.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L176-L180","name":"Lean.Parser.Tactic.focus","line":176,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L222-L223","name":"Lean.Parser.Tactic.first","line":222,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.first","doc":"`first | tac | ...` runs each `tac` until one succeeds, or else fails. "},"Lean.Parser.Tactic.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L194-L195","name":"Lean.Parser.Tactic.failIfSuccess","line":194,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L692-L693","name":"Lean.Parser.Tactic.fail","line":692,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.fail","doc":"`fail msg` is a tactic that always fails, and produces an error using the given message. "},"Lean.Parser.Tactic.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L119-L122","name":"Lean.Parser.Tactic.exact","line":119,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.exact","doc":"`exact e` closes the main goal if its target type matches that of `e`.\n"},"Lean.Parser.Tactic.dsimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1302-L1302","name":"Lean.Parser.Tactic.dsimpKind","line":1302,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpKind","doc":""},"Lean.Parser.Tactic.dsimpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1349-L1352","name":"Lean.Parser.Tactic.dsimpAutoUnfold","line":1349,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpAutoUnfold","doc":"`dsimp!` is shorthand for `dsimp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L438-L444","name":"Lean.Parser.Tactic.dsimp","line":438,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dsimp","doc":"The `dsimp` tactic is the definitional simplifier. It is similar to `simp` but only\napplies theorems that hold by reflexivity. Thus, the result is guaranteed to be\ndefinitionally equal to the input.\n"},"Lean.Parser.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L185-L186","name":"Lean.Parser.Tactic.done","line":185,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.done","doc":"`done` succeeds iff there are no remaining goals. "},"Lean.Parser.Tactic.discharger":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L387-L391","name":"Lean.Parser.Tactic.discharger","line":387,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.discharger","doc":"The discharger clause of `simp` and related tactics.\nThis is a tactic used to discharge the side conditions on conditional rewrite rules.\n"},"Lean.Parser.Tactic.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L446-L451","name":"Lean.Parser.Tactic.delta","line":446,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.delta","doc":"`delta id1 id2 ...` delta-expands the definitions `id1`, `id2`, ....\nThis is a low-level tactic, it will expose how recursive definitions have been\ncompiled by Lean.\n"},"Lean.Parser.Tactic.declareSimpLikeTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1304-L1322","name":"Lean.Parser.Tactic.declareSimpLikeTactic","line":1304,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.declareSimpLikeTactic","doc":""},"Lean.Parser.Tactic.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Parser/Tactic.lean#L76-L77","name":"Lean.Parser.Tactic.decide","line":76,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.decide","doc":"`decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Because this uses kernel\ncomputation to evaluate the term, it may not work in the presence of definitions\nby well founded recursion, since this requires reducing proofs.\n```\nexample : 2 + 2 ≠ 5 := by decide\n```\n"},"Lean.Parser.Tactic.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L642-L651","name":"Lean.Parser.Tactic.dbgTrace","line":642,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dbgTrace","doc":"`dbg_trace \"foo\"` prints `foo` when elaborated.\nUseful for debugging tactic control flow:\n```\nexample : False ∨ True := by\n first\n | apply Or.inl; trivial; dbg_trace \"left\"\n | apply Or.inr; trivial; dbg_trace \"right\"\n```\n"},"Lean.Parser.Tactic.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L83-L106","name":"Lean.Parser.Tactic.contradiction","line":83,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.contradiction","doc":"`contradiction` closes the main goal if its hypotheses are \"trivially contradictory\".\n- Inductive type/family with no applicable constructors\n```lean\nexample (h : False) : p := by contradiction\n```\n- Injectivity of constructors\n```lean\nexample (h : none = some true) : p := by contradiction --\n```\n- Decidable false proposition\n```lean\nexample (h : 2 + 2 = 3) : p := by contradiction\n```\n- Contradictory hypotheses\n```lean\nexample (h : p) (h' : ¬ p) : q := by contradiction\n```\n- Other simple contradictions such as\n```lean\nexample (x : Nat) (h : x ≠ x) : p := by contradiction\n```\n"},"Lean.Parser.Tactic.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L137-L141","name":"Lean.Parser.Tactic.constructor","line":137,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.constructor","doc":"If the main goal's target type is an inductive type, `constructor` solves it with\nthe first matching constructor, or else fails.\n"},"Lean.Parser.Tactic.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L733-L741","name":"Lean.Parser.Tactic.congr","line":733,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.congr","doc":"Apply congruence (recursively) to goals of the form `⊢ f as = f bs` and `⊢ HEq (f as) (f bs)`.\nThe optional parameter is the depth of the recursive applications.\nThis is useful when `congr` is too aggressive in breaking down the goal.\nFor example, given `⊢ f (g (x + y)) = f (g (y + x))`,\n`congr` produces the goals `⊢ x = y` and `⊢ y = x`,\nwhile `congr 2` produces the intended `⊢ x + y = y + x`.\n"},"Lean.Parser.Tactic.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L297-L298","name":"Lean.Parser.Tactic.config","line":297,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.config","doc":"Optional configuration option for tactics "},"Lean.Parser.Tactic.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L59-L63","name":"Lean.Parser.Tactic.clear","line":59,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.clear","doc":"`clear x...` removes the given hypotheses, or fails if there are remaining\nreferences to a hypothesis.\n"},"Lean.Parser.Tactic.checkpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L695-L706","name":"Lean.Parser.Tactic.checkpoint","line":695,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.checkpoint","doc":"`checkpoint tac` acts the same as `tac`, but it caches the input and output of `tac`,\nand if the file is re-elaborated and the input matches, the tactic is not re-run and\nits effects are reapplied to the state. This is useful for improving responsiveness\nwhen working on a long tactic proof, by wrapping expensive tactics with `checkpoint`.\n\nSee the `save` tactic, which may be more convenient to use.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.changeWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L328-L333","name":"Lean.Parser.Tactic.changeWith","line":328,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.changeWith","doc":"* `change a with b` will change occurrences of `a` to `b` in the goal,\n assuming `a` and `b` are are definitionally equal.\n* `change a with b at h` similarly changes `a` to `b` in the type of hypothesis `h`.\n"},"Lean.Parser.Tactic.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L320-L326","name":"Lean.Parser.Tactic.change","line":320,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.change","doc":"* `change tgt'` will change the goal from `tgt` to `tgt'`,\n assuming these are definitionally equal.\n* `change t' at h` will change hypothesis `h : t` to have type `t'`, assuming\n assuming `t` and `t'` are definitionally equal.\n"},"Lean.Parser.Tactic.casesTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L576-L580","name":"Lean.Parser.Tactic.casesTarget","line":576,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.casesTarget","doc":"A `cases` argument, of the form `e` or `h : e` (where `h` asserts that\n`e = cᵢ a b` for each constructor `cᵢ` of the inductive).\n"},"Lean.Parser.Tactic.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L581-L604","name":"Lean.Parser.Tactic.cases","line":581,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.cases","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`cases x` splits the main goal, producing one goal for each constructor of the\ninductive type, in which the target is replaced by a general instance of that constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the case split affects that hypothesis as well.\n`cases` detects unreachable cases and closes them automatically.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`cases n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypothesis `h : P (Nat.succ a)` and target `Q (Nat.succ a)`.\nHere the name `a` is chosen automatically and is not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `cases e`, where `e` is an expression instead of a variable, generalizes `e` in the goal,\n and then cases on the resulting variable.\n- Given `as : List α`, `cases as with | nil => tac₁ | cons a as' => tac₂`,\n uses tactic `tac₁` for the `nil` case, and `tac₂` for the `cons` case,\n and `a` and `as'` are used as names for the new variables introduced.\n- `cases h : e`, where `e` is a variable or an expression,\n performs cases on `e` as above, but also adds a hypothesis `h : e = ...` to each hypothesis,\n where `...` is the constructor instance for that particular case.\n"},"Lean.Parser.Tactic.caseArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Notation.lean#L362-L366","name":"Lean.Parser.Tactic.caseArg","line":362,"kind":"def","docLink":"./Init/Notation.html#Lean.Parser.Tactic.caseArg","doc":"A case tag argument has the form `tag x₁ ... xₙ`; it refers to tag `tag` and renames\nthe last `n` hypotheses to `x₁ ... xₙ`.\n"},"Lean.Parser.Tactic.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L152-L158","name":"Lean.Parser.Tactic.case'","line":152,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L143-L150","name":"Lean.Parser.Tactic.case","line":143,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L77-L81","name":"Lean.Parser.Tactic.assumption","line":77,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.assumption","doc":"`assumption` tries to solve the main goal using a hypothesis of compatible type, or else fails.\nNote also the `‹t›` term notation, which is a shorthand for `show t by assumption`.\n"},"Lean.Parser.Tactic.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L108-L117","name":"Lean.Parser.Tactic.apply","line":108,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.apply","doc":"`apply e` tries to match the current goal against the conclusion of `e`'s type.\nIf it succeeds, then the tactic returns as many subgoals as the number of premises that\nhave not been fixed by type inference or type class resolution.\nNon-dependent premises are added before dependent ones.\n\nThe `apply` tactic uses higher-order pattern matching, type class resolution,\nand first-order unification with dependent types.\n"},"Lean.Parser.Tactic.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L170-L174","name":"Lean.Parser.Tactic.anyGoals","line":170,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L167-L168","name":"Lean.Parser.Tactic.allGoals","line":167,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. "},"Lean.Parser.Tactic.acRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Tactics.lean#L268-L277","name":"Lean.Parser.Tactic.acRfl","line":268,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.acRfl","doc":"`ac_rfl` proves equalities up to application of an associative and commutative operator.\n```\ninstance : IsAssociative (α := Nat) (.+.) := ⟨Nat.add_assoc⟩\ninstance : IsCommutative (α := Nat) (.+.) := ⟨Nat.add_comm⟩\n\nexample (a b c d : Nat) : a + b + c + d = d + (b + c) + a := by ac_rfl\n```\n"},"Lean.Parser.Tactic.Conv.«conv·._»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L230-L230","name":"Lean.Parser.Tactic.Conv.«conv·._»","line":230,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv·._»","doc":"`· conv` focuses on the main conv goal and tries to solve it using `s`. "},"Lean.Parser.Tactic.Conv.«conv_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L283-L284","name":"Lean.Parser.Tactic.Conv.«conv_<;>_»","line":283,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv_<;>_»","doc":""},"Lean.Parser.Tactic.Conv.«convNext__=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L217-L217","name":"Lean.Parser.Tactic.Conv.«convNext__=>_»","line":217,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convNext__=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.Conv.«convEnter[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L257-L264","name":"Lean.Parser.Tactic.Conv.«convEnter[_]»","line":257,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convEnter[_]»","doc":"`enter [arg, ...]` is a compact way to describe a path to a subterm.\nIt is a shorthand for other conv tactics as follows:\n* `enter [i]` is equivalent to `arg i`.\n* `enter [@i]` is equivalent to `arg @i`.\n* `enter [x]` (where `x` is an identifier) is equivalent to `ext x`.\nFor example, given the target `f (g a (fun x => x b))`, `enter [1, 2, x, 1]`\nwill traverse to the subterm `b`. "},"Lean.Parser.Tactic.Conv.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L62-L63","name":"Lean.Parser.Tactic.Conv.zeta","line":62,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.zeta","doc":"Expands let-declarations and let-variables. "},"Lean.Parser.Tactic.Conv.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L38-L43","name":"Lean.Parser.Tactic.Conv.withAnnotateState","line":38,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.Conv.whnf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L57-L60","name":"Lean.Parser.Tactic.Conv.whnf","line":57,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.whnf","doc":"Reduces the target to Weak Head Normal Form. This reduces definitions\nin \"head position\" until a constructor is exposed. For example, `List.map f [a, b, c]`\nweak head normalizes to `f a :: List.map f [b, c]`. "},"Lean.Parser.Tactic.Conv.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L94-L100","name":"Lean.Parser.Tactic.Conv.unfold","line":94,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.unfold","doc":"* `unfold foo` unfolds all occurrences of `foo` in the target.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\nLike the `unfold` tactic, this uses equational lemmas for the chosen definition\nto rewrite the target. For recursive definitions,\nonly one layer of unfolding is performed. "},"Lean.Parser.Tactic.Conv.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L46-L47","name":"Lean.Parser.Tactic.Conv.skip","line":46,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.Conv.simpMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L145-L152","name":"Lean.Parser.Tactic.Conv.simpMatch","line":145,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simpMatch","doc":"`simp_match` simplifies match expressions. For example,\n```\nmatch [a, b] with\n| [] => 0\n| hd :: tl => hd\n```\nsimplifies to `a`. "},"Lean.Parser.Tactic.Conv.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L123-L126","name":"Lean.Parser.Tactic.Conv.simp","line":123,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simp","doc":"`simp [thm]` performs simplification using `thm` and marked `@[simp]` lemmas.\nSee the `simp` tactic for more information. "},"Lean.Parser.Tactic.Conv.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L53-L55","name":"Lean.Parser.Tactic.Conv.rhs","line":53,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rhs","doc":"Traverses into the right subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the last argument.) "},"Lean.Parser.Tactic.Conv.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L120-L121","name":"Lean.Parser.Tactic.Conv.rewrite","line":120,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rewrite","doc":"`rw [thm]` rewrites the target using `thm`. See the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L65-L66","name":"Lean.Parser.Tactic.Conv.reduce","line":65,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.reduce","doc":"Puts term in normal form, this tactic is meant for debugging purposes only. "},"Lean.Parser.Tactic.Conv.pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L102-L118","name":"Lean.Parser.Tactic.Conv.pattern","line":102,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.pattern","doc":"* `pattern pat` traverses to the first subterm of the target that matches `pat`.\n* `pattern (occs := *) pat` traverses to every subterm of the target that matches `pat`\n which is not contained in another match of `pat`. It generates one subgoal for each matching\n subterm.\n* `pattern (occs := 1 2 4) pat` matches occurrences `1, 2, 4` of `pat` and produces three subgoals.\n Occurrences are numbered left to right from the outside in.\n\nNote that skipping an occurrence of `pat` will traverse inside that subexpression, which means\nit may find more matches and this can affect the numbering of subsequent pattern matches.\nFor example, if we are searching for `f _` in `f (f a) = f b`:\n* `occs := 1 2` (and `occs := *`) returns `| f (f a)` and `| f b`\n* `occs := 2` returns `| f a`\n* `occs := 2 3` returns `| f a` and `| f b`\n* `occs := 1 3` is an error, because after skipping `f b` there is no third match.\n"},"Lean.Parser.Tactic.Conv.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L168-L170","name":"Lean.Parser.Tactic.Conv.paren","line":168,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.paren","doc":"`(convs)` runs the `convs` in sequence on the current list of targets.\nThis is pure grouping with no added effects. "},"Lean.Parser.Tactic.Conv.occsWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L26-L27","name":"Lean.Parser.Tactic.Conv.occsWildcard","line":26,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsWildcard","doc":"The `*` occurrence list means to apply to all occurrences of the pattern. "},"Lean.Parser.Tactic.Conv.occsIndexed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L29-L33","name":"Lean.Parser.Tactic.Conv.occsIndexed","line":29,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsIndexed","doc":"A list `1 2 4` of occurrences means to apply to the first, second, and fourth\noccurrence of the pattern.\n"},"Lean.Parser.Tactic.Conv.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L35-L36","name":"Lean.Parser.Tactic.Conv.occs","line":35,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occs","doc":"An occurrence specification, either `*` or a list of numbers. The default is `[1]`. "},"Lean.Parser.Tactic.Conv.nestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L155-L156","name":"Lean.Parser.Tactic.Conv.nestedTacticCore","line":155,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTacticCore","doc":"Executes the given tactic block without converting `conv` goal into a regular goal. "},"Lean.Parser.Tactic.Conv.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L158-L159","name":"Lean.Parser.Tactic.Conv.nestedTactic","line":158,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTactic","doc":"Focuses, converts the `conv` goal `⊢ lhs` into a regular goal `⊢ lhs = rhs`, and then executes the given tactic block. "},"Lean.Parser.Tactic.Conv.nestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L164-L166","name":"Lean.Parser.Tactic.Conv.nestedConv","line":164,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedConv","doc":"`{ convs }` runs the list of `convs` on the current target, and any subgoals that\nremain are trivially closed by `skip`. "},"Lean.Parser.Tactic.Conv.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L49-L51","name":"Lean.Parser.Tactic.Conv.lhs","line":49,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.lhs","doc":"Traverses into the left subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the second to last argument.) "},"Lean.Parser.Tactic.Conv.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L223-L223","name":"Lean.Parser.Tactic.Conv.focus","line":223,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.Conv.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L277-L278","name":"Lean.Parser.Tactic.Conv.first","line":277,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.first","doc":"`first | conv | ...` runs each `conv` until one succeeds, or else fails. "},"Lean.Parser.Tactic.Conv.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L234-L235","name":"Lean.Parser.Tactic.Conv.failIfSuccess","line":234,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.Conv.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L80-L82","name":"Lean.Parser.Tactic.Conv.ext","line":80,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.ext","doc":"`ext x` traverses into a binder (a `fun x => e` or `∀ x, e` expression)\nto target `e`, introducing name `x` in the process. "},"Lean.Parser.Tactic.Conv.enterArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L255-L255","name":"Lean.Parser.Tactic.Conv.enterArg","line":255,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.enterArg","doc":""},"Lean.Parser.Tactic.Conv.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L128-L143","name":"Lean.Parser.Tactic.Conv.dsimp","line":128,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.dsimp","doc":"`dsimp` is the definitional simplifier in `conv`-mode. It differs from `simp` in that it only\napplies theorems that hold by reflexivity.\n\nExamples:\n\n```lean\nexample (a : Nat): (0 + 0) = a - a := by\n conv =>\n lhs\n dsimp\n rw [← Nat.sub_self a]\n```\n"},"Lean.Parser.Tactic.Conv.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L88-L92","name":"Lean.Parser.Tactic.Conv.delta","line":88,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.delta","doc":"`delta id1 id2 ...` unfolds all occurrences of `id1`, `id2`, ... in the target.\nLike the `delta` tactic, this ignores any definitional equations and uses\nprimitive delta-reduction instead, which may result in leaking implementation details.\nUsers should prefer `unfold` for unfolding definitions. "},"Lean.Parser.Tactic.Conv.convTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L281-L281","name":"Lean.Parser.Tactic.Conv.convTry_","line":281,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.Conv.convTrace_state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L180-L180","name":"Lean.Parser.Tactic.Conv.convTrace_state","line":180,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTrace_state","doc":"`trace_state` prints the current goal state. "},"Lean.Parser.Tactic.Conv.convTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L161-L162","name":"Lean.Parser.Tactic.Conv.convTactic","line":161,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTactic","doc":"Executes the given conv block without converting regular goal into a `conv` goal. "},"Lean.Parser.Tactic.Conv.convSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L21-L21","name":"Lean.Parser.Tactic.Conv.convSeqBracketed","line":21,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeqBracketed","doc":""},"Lean.Parser.Tactic.Conv.convSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L20-L20","name":"Lean.Parser.Tactic.Conv.convSeq1Indented","line":20,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq1Indented","doc":""},"Lean.Parser.Tactic.Conv.convSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L24-L24","name":"Lean.Parser.Tactic.Conv.convSeq","line":24,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq","doc":""},"Lean.Parser.Tactic.Conv.convRw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L239-L239","name":"Lean.Parser.Tactic.Conv.convRw__","line":239,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRw__","doc":"`rw [rules]` applies the given list of rewrite rules to the target.\nSee the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.convRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L251-L251","name":"Lean.Parser.Tactic.Conv.convRight","line":251,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRight","doc":"`right` traverses into the right argument. Synonym for `rhs`. "},"Lean.Parser.Tactic.Conv.convRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L174-L174","name":"Lean.Parser.Tactic.Conv.convRfl","line":174,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRfl","doc":"`rfl` closes one conv goal \"trivially\", by using reflexivity\n(that is, no rewriting). "},"Lean.Parser.Tactic.Conv.convRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L286-L287","name":"Lean.Parser.Tactic.Conv.convRepeat_","line":286,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRepeat_","doc":"`repeat convs` runs the sequence `convs` repeatedly until it fails to apply. "},"Lean.Parser.Tactic.Conv.convLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L249-L249","name":"Lean.Parser.Tactic.Conv.convLeft","line":249,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convLeft","doc":"`left` traverses into the left argument. Synonym for `lhs`. "},"Lean.Parser.Tactic.Conv.convIntro___":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L253-L253","name":"Lean.Parser.Tactic.Conv.convIntro___","line":253,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convIntro___","doc":"`intro` traverses into binders. Synonym for `ext`. "},"Lean.Parser.Tactic.Conv.convErw_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L244-L244","name":"Lean.Parser.Tactic.Conv.convErw_","line":244,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convErw_","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.Conv.convDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L177-L177","name":"Lean.Parser.Tactic.Conv.convDone","line":177,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convDone","doc":"`done` succeeds iff there are no goals remaining. "},"Lean.Parser.Tactic.Conv.convConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L225-L227","name":"Lean.Parser.Tactic.Conv.convConvSeq","line":225,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convConvSeq","doc":"`conv => cs` runs `cs` in sequence on the target `t`,\nresulting in `t'`, which becomes the new target subgoal. "},"Lean.Parser.Tactic.Conv.convArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L247-L247","name":"Lean.Parser.Tactic.Conv.convArgs","line":247,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convArgs","doc":"`args` traverses into all arguments. Synonym for `congr`. "},"Lean.Parser.Tactic.Conv.convApply_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L275-L275","name":"Lean.Parser.Tactic.Conv.convApply_","line":275,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convApply_","doc":"The `apply thm` conv tactic is the same as `apply thm` the tactic.\nThere are no restrictions on `thm`, but strange results may occur if `thm`\ncannot be reasonably interpreted as proving one equality from a list of others. "},"Lean.Parser.Tactic.Conv.conv.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L13-L18","name":"Lean.Parser.Tactic.Conv.conv.quot","line":13,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv.quot","doc":""},"Lean.Parser.Tactic.Conv.conv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L291-L304","name":"Lean.Parser.Tactic.Conv.conv","line":291,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv","doc":"`conv => ...` allows the user to perform targeted rewriting on a goal or hypothesis,\nby focusing on particular subexpressions.\n\nSee for more details.\n\nBasic forms:\n* `conv => cs` will rewrite the goal with conv tactics `cs`.\n* `conv at h => cs` will rewrite hypothesis `h`.\n* `conv in pat => cs` will rewrite the first subexpression matching `pat` (see `pattern`).\n"},"Lean.Parser.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L68-L71","name":"Lean.Parser.Tactic.Conv.congr","line":68,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.congr","doc":"Performs one step of \"congruence\", which takes a term and produces\nsubgoals for all the function arguments. For example, if the target is `f x y` then\n`congr` produces two subgoals, one for `x` and one for `y`. "},"Lean.Parser.Tactic.Conv.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L84-L86","name":"Lean.Parser.Tactic.Conv.change","line":84,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.change","doc":"`change t'` replaces the target `t` with `t'`,\nassuming `t` and `t'` are definitionally equal. "},"Lean.Parser.Tactic.Conv.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L209-L210","name":"Lean.Parser.Tactic.Conv.case'","line":209,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.Conv.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L200-L201","name":"Lean.Parser.Tactic.Conv.case","line":200,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.Conv.arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L73-L78","name":"Lean.Parser.Tactic.Conv.arg","line":73,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.arg","doc":"* `arg i` traverses into the `i`'th argument of the target. For example if the\n target is `f a b c d` then `arg 1` traverses to `a` and `arg 3` traverses to `c`.\n* `arg @i` is the same as `arg i` but it counts all arguments instead of just the\n explicit arguments. "},"Lean.Parser.Tactic.Conv.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L190-L191","name":"Lean.Parser.Tactic.Conv.anyGoals","line":190,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.Conv.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Conv.lean#L183-L184","name":"Lean.Parser.Tactic.Conv.allGoals","line":183,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. 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Hence a simp theorem should have the\nproperty that its right-hand side is \"simpler\" than its left-hand side.\nIn particular, `=` and `↔` should not be viewed as symmetric operators in this situation.\nThe following would be a terrible simp theorem (if it were even allowed):\n```lean\n@[simp] lemma mul_right_inv_bad (a : G) : 1 = a * a⁻¹ := ...\n```\nReplacing 1 with a * a⁻¹ is not a sensible default direction to travel.\nEven worse would be a theorem that causes expressions to grow without bound,\ncausing simp to loop forever.\n\nBy default the simplifier applies `simp` theorems to an expression `e`\nafter its sub-expressions have been simplified.\nWe say it performs a bottom-up simplification.\nYou can instruct the simplifier to apply a theorem before its sub-expressions\nhave been simplified by using the modifier `↓`. Here is an example\n```lean\n@[simp↓] theorem not_and_eq (p q : Prop) : (¬ (p ∧ q)) = (¬p ∨ ¬q) :=\n```\n\nWhen multiple simp theorems are applicable, the simplifier uses the one with highest priority.\nIf there are several with the same priority, it is uses the \"most recent one\". Example:\n```lean\n@[simp high] theorem cond_true (a b : α) : cond true a b = a := rfl\n@[simp low+1] theorem or_true (p : Prop) : (p ∨ True) = True :=\n propext <| Iff.intro (fun _ => trivial) (fun _ => Or.inr trivial)\n@[simp 100] theorem ite_self {d : Decidable c} (a : α) : ite c a a = a := by\n cases d <;> 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string name. The name `Lean.Meta.run` is represented at\n```lean\n.str (.str (.str .anonymous \"Lean\") \"Meta\") \"run\"\n```\n"},"Lean.Name.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L94-L97","name":"Lean.Name.sizeOf","line":94,"kind":"def","docLink":"./Init/SizeOf.html#Lean.Name.sizeOf","doc":"We manually define the `Lean.Name` instance because we use\nan opaque function for computing the hashcode field.\n"},"Lean.Name.simpMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4172-L4175","name":"Lean.Name.simpMacroScopes","line":4172,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.simpMacroScopes","doc":"Helper function we use to create binder names that do not need to be unique. "},"Lean.Name.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L148-L156","name":"Lean.Name.reprPrec","line":148,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.reprPrec","doc":""},"Lean.Name.replacePrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L165-L169","name":"Lean.Name.replacePrefix","line":165,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.replacePrefix","doc":""},"Lean.Name.quickLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L96-L97","name":"Lean.Name.quickLt","line":96,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickLt","doc":""},"Lean.Name.quickCmpAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L76-L89","name":"Lean.Name.quickCmpAux","line":76,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmpAux","doc":""},"Lean.Name.quickCmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L91-L94","name":"Lean.Name.quickCmp","line":91,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmp","doc":""},"Lean.Name.num.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L106-L107","name":"Lean.Name.num.sizeOf_spec","line":106,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.num.sizeOf_spec","doc":""},"Lean.Name.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3416-L3423","name":"Lean.Name.num","line":3416,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.num","doc":"A numerical name. This kind of name is used, for example, to create hierarchical names for\nfree variables and metavariables. The identifier `_uniq.231` is represented as\n```lean\n.num (.str .anonymous \"_uniq\") 231\n```\n"},"Lean.Name.modifyBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L181-L186","name":"Lean.Name.modifyBase","line":181,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.modifyBase","doc":"Remove macros scopes, apply `f`, and put them back "},"Lean.Name.mkStr8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3489-L3490","name":"Lean.Name.mkStr8","line":3489,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr8","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇.s₈` "},"Lean.Name.mkStr7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3485-L3486","name":"Lean.Name.mkStr7","line":3485,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr7","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇` "},"Lean.Name.mkStr6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3481-L3482","name":"Lean.Name.mkStr6","line":3481,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr6","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆` "},"Lean.Name.mkStr5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3477-L3478","name":"Lean.Name.mkStr5","line":3477,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr5","doc":"Make name `s₁.s₂.s₃.s₄.s₅` "},"Lean.Name.mkStr4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3473-L3474","name":"Lean.Name.mkStr4","line":3473,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr4","doc":"Make name `s₁.s₂.s₃.s₄` "},"Lean.Name.mkStr3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3469-L3470","name":"Lean.Name.mkStr3","line":3469,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr3","doc":"Make name `s₁.s₂.s₃` "},"Lean.Name.mkStr2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3465-L3466","name":"Lean.Name.mkStr2","line":3465,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr2","doc":"Make name `s₁.s₂` "},"Lean.Name.mkStr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3461-L3462","name":"Lean.Name.mkStr1","line":3461,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr1","doc":"Make name `s₁` "},"Lean.Name.mkStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3444-L3445","name":"Lean.Name.mkStr","line":3444,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr","doc":"`.str p s` is now the preferred form.\n"},"Lean.Name.mkSimple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3457-L3458","name":"Lean.Name.mkSimple","line":3457,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkSimple","doc":"Short for `.str .anonymous s`.\n"},"Lean.Name.mkNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3451-L3452","name":"Lean.Name.mkNum","line":3451,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkNum","doc":"`.num p v` is now the preferred form.\n"},"Lean.Name.mangle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/NameMangling.lean#L59-L60","name":"Lean.Name.mangle","line":59,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.Name.mangle","doc":""},"Lean.Name.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L73-L74","name":"Lean.Name.lt","line":73,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.lt","doc":""},"Lean.Name.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L52-L56","name":"Lean.Name.isSuffixOf","line":52,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isSuffixOf","doc":""},"Lean.Name.isStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L127-L129","name":"Lean.Name.isStr","line":127,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isStr","doc":""},"Lean.Name.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L46-L49","name":"Lean.Name.isPrefixOf","line":46,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isPrefixOf","doc":""},"Lean.Name.isNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L131-L133","name":"Lean.Name.isNum","line":131,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isNum","doc":""},"Lean.Name.isInternal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L101-L104","name":"Lean.Name.isInternal","line":101,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isInternal","doc":"The frontend does not allow user declarations to start with `_` in any of its parts.\nWe use name parts starting with `_` internally to create auxiliary names (e.g., `_private`). "},"Lean.Name.isInaccessibleUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L108-L111","name":"Lean.Name.isInaccessibleUserName","line":108,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.isInaccessibleUserName","doc":""},"Lean.Name.isImplementationDetail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L111-L115","name":"Lean.Name.isImplementationDetail","line":111,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isImplementationDetail","doc":"Checks whether the name is an implementation-detail hypothesis name.\n\nImplementation-detail hypothesis names start with a double underscore.\n"},"Lean.Name.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L117-L121","name":"Lean.Name.isAtomic","line":117,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAtomic","doc":""},"Lean.Name.isAnonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L123-L125","name":"Lean.Name.isAnonymous","line":123,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAnonymous","doc":""},"Lean.Name.instToStringName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L140-L141","name":"Lean.Name.instToStringName","line":140,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instToStringName","doc":""},"Lean.Name.instReprName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L158-L159","name":"Lean.Name.instReprName","line":158,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instReprName","doc":""},"Lean.Name.instLawfulBEqNameInstBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L211-L213","name":"Lean.Name.instLawfulBEqNameInstBEqName","line":211,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instLawfulBEqNameInstBEqName","doc":""},"Lean.Name.instDecidableEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L215-L216","name":"Lean.Name.instDecidableEqName","line":215,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instDecidableEqName","doc":""},"Lean.Name.instBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3500-L3501","name":"Lean.Name.instBEqName","line":3500,"kind":"instance","docLink":"./Init/Prelude.html#Lean.Name.instBEqName","doc":""},"Lean.Name.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L12-L13","name":"Lean.Name.hashEx","line":12,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.hashEx","doc":""},"Lean.Name.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3390-L3430","name":"Lean.Name.hash","line":3390,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hash","doc":"A hash function for names, which is stored inside the name itself as a\ncomputed field. "},"Lean.Name.hasMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4147-L4150","name":"Lean.Name.hasMacroScopes","line":4147,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hasMacroScopes","doc":"Does this name have hygienic macro scopes? "},"Lean.Name.getString!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L20-L22","name":"Lean.Name.getString!","line":20,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getString!","doc":""},"Lean.Name.getRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L100-L105","name":"Lean.Name.getRoot","line":100,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.getRoot","doc":""},"Lean.Name.getPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L15-L18","name":"Lean.Name.getPrefix","line":15,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getPrefix","doc":""},"Lean.Name.getNumParts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L24-L27","name":"Lean.Name.getNumParts","line":24,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getNumParts","doc":""},"Lean.Name.escapePart":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L113-L116","name":"Lean.Name.escapePart","line":113,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.escapePart","doc":""},"Lean.Name.eraseSuffix?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L174-L178","name":"Lean.Name.eraseSuffix?","line":174,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.eraseSuffix?","doc":"`eraseSuffix? n s` return `n'` if `n` is of the form `n == n' ++ s`.\n"},"Lean.Name.eraseMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4161-L4164","name":"Lean.Name.eraseMacroScopes","line":4161,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.eraseMacroScopes","doc":"Remove the macro scopes from the name. "},"Lean.Name.eqStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L42-L44","name":"Lean.Name.eqStr","line":42,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.eqStr","doc":""},"Lean.Name.componentsRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L34-L37","name":"Lean.Name.componentsRev","line":34,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.componentsRev","doc":""},"Lean.Name.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L39-L40","name":"Lean.Name.components","line":39,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.components","doc":""},"Lean.Name.cmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L58-L71","name":"Lean.Name.cmp","line":58,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.cmp","doc":""},"Lean.Name.capitalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L161-L163","name":"Lean.Name.capitalize","line":161,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.capitalize","doc":""},"Lean.Name.beq_iff_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L207-L209","name":"Lean.Name.beq_iff_eq","line":207,"kind":"theorem","docLink":"./Init/Meta.html#Lean.Name.beq_iff_eq","doc":""},"Lean.Name.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3494-L3498","name":"Lean.Name.beq","line":3494,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.beq","doc":"(Boolean) equality comparator for names. "},"Lean.Name.appendIndexAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L195-L198","name":"Lean.Name.appendIndexAfter","line":195,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendIndexAfter","doc":""},"Lean.Name.appendCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3507-L3510","name":"Lean.Name.appendCore","line":3507,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.appendCore","doc":"This function does not have special support for macro scopes.\nSee `Name.append`.\n"},"Lean.Name.appendBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L201-L205","name":"Lean.Name.appendBefore","line":201,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendBefore","doc":""},"Lean.Name.appendAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L189-L192","name":"Lean.Name.appendAfter","line":189,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendAfter","doc":""},"Lean.Name.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4263-L4273","name":"Lean.Name.append","line":4263,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.append","doc":"Append two names that may have macro scopes. The macro scopes in `b` are always erased.\nIf `a` has macro scopes, then they are propagated to the result of `append a b`.\n"},"Lean.Name.anyS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Name.lean#L144-L148","name":"Lean.Name.anyS","line":144,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.anyS","doc":"Return `true` if `n` contains a string part `s` that satifies `f`.\n\nExamples:\n```\n#eval (`foo.bla).anyS (·.startsWith \"fo\") -- true\n#eval (`foo.bla).anyS (·.startsWith \"boo\") -- false\n```\n"},"Lean.Name.anonymous.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOf.lean#L102-L103","name":"Lean.Name.anonymous.sizeOf_spec","line":102,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.anonymous.sizeOf_spec","doc":""},"Lean.Name.anonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3407-L3408","name":"Lean.Name.anonymous","line":3407,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.anonymous","doc":"The \"anonymous\" name. "},"Lean.Name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3406-L3430","name":"Lean.Name","line":3406,"kind":"inductive","docLink":"./Init/Prelude.html#Lean.Name","doc":"Hierarchical names. We use hierarchical names to name declarations and\nfor creating unique identifiers for free variables and metavariables.\n\nYou can create hierarchical names using the following quotation notation.\n```\n`Lean.Meta.whnf\n```\nIt is short for `.str (.str (.str .anonymous \"Lean\") \"Meta\") \"whnf\"`\nYou can use double quotes to request Lean to statically check whether the name\ncorresponds to a Lean declaration in scope.\n```\n``Lean.Meta.whnf\n```\nIf the name is not in scope, Lean will report an 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"},"Lean.MetavarContext.addExprMVarDeclExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L786-L788","name":"Lean.MetavarContext.addExprMVarDeclExp","line":786,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.addExprMVarDeclExp","doc":""},"Lean.MetavarContext.addExprMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L765-L784","name":"Lean.MetavarContext.addExprMVarDecl","line":765,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.addExprMVarDecl","doc":"Low level API for adding/declaring metavariable declarations.\nIt is used to implement actions in the monads `MetaM`, `ElabM` and `TacticM`.\nIt should not be used directly since the argument `(mvarId : MVarId)` is assumed to be \"unique\". "},"Lean.MetavarContext.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1238-L1239","name":"Lean.MetavarContext.abstractRange","line":1238,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.abstractRange","doc":""},"Lean.MetavarContext.UnivMVarParamResult.nextParamIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1351-L1351","name":"Lean.MetavarContext.UnivMVarParamResult.nextParamIdx","line":1351,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.nextParamIdx","doc":""},"Lean.MetavarContext.UnivMVarParamResult.newParamNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1350-L1350","name":"Lean.MetavarContext.UnivMVarParamResult.newParamNames","line":1350,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.newParamNames","doc":""},"Lean.MetavarContext.UnivMVarParamResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.UnivMVarParamResult.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.mk","doc":""},"Lean.MetavarContext.UnivMVarParamResult.mctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1349-L1349","name":"Lean.MetavarContext.UnivMVarParamResult.mctx","line":1349,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.mctx","doc":""},"Lean.MetavarContext.UnivMVarParamResult.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1352-L1352","name":"Lean.MetavarContext.UnivMVarParamResult.expr","line":1352,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult.expr","doc":""},"Lean.MetavarContext.UnivMVarParamResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1348-L1352","name":"Lean.MetavarContext.UnivMVarParamResult","line":1348,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.UnivMVarParamResult","doc":""},"Lean.MetavarContext.MkBindingM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.MkBindingM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.mk","doc":""},"Lean.MetavarContext.MkBindingM.Context.mainModule":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1217-L1217","name":"Lean.MetavarContext.MkBindingM.Context.mainModule","line":1217,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.mainModule","doc":""},"Lean.MetavarContext.MkBindingM.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1218-L1218","name":"Lean.MetavarContext.MkBindingM.Context.lctx","line":1218,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context.lctx","doc":""},"Lean.MetavarContext.MkBindingM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1216-L1218","name":"Lean.MetavarContext.MkBindingM.Context","line":1216,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM.Context","doc":""},"Lean.MetavarContext.MkBindingM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1220-L1220","name":"Lean.MetavarContext.MkBindingM","line":1220,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBindingM","doc":""},"Lean.MetavarContext.MkBinding.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1164-L1166","name":"Lean.MetavarContext.MkBinding.revert","line":1164,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.revert","doc":"Revert the variables `xs` from the local context of `mvarId`, returning\nan expression representing the (new) reverted metavariable and the list of\nvariables that were actually reverted (this list will include any forward dependencies).\n\nSee details in the comment at the top of the file.\n"},"Lean.MetavarContext.MkBinding.reduceLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L977-L979","name":"Lean.MetavarContext.MkBinding.reduceLocalContext","line":977,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.reduceLocalContext","doc":"Create a new `LocalContext` by removing the free variables in `toRevert` from `lctx`.\nWe use this function when we create auxiliary metavariables at `elimMVarDepsAux`. "},"Lean.MetavarContext.MkBinding.preserveOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L899-L900","name":"Lean.MetavarContext.MkBinding.preserveOrder","line":899,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.preserveOrder","doc":""},"Lean.MetavarContext.MkBinding.mkBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1181-L1212","name":"Lean.MetavarContext.MkBinding.mkBinding","line":1181,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.mkBinding","doc":"Similar to `LocalContext.mkBinding`, but handles metavariables correctly.\nIf `usedOnly == true` then `forall` and `lambda` expressions are created only for used variables.\nIf `usedLetOnly == true` then `let` expressions are created only for used (let-) variables. "},"Lean.MetavarContext.MkBinding.instToStringException":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L861-L867","name":"Lean.MetavarContext.MkBinding.instToStringException","line":861,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instToStringException","doc":""},"Lean.MetavarContext.MkBinding.instMonadMCtxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L891-L893","name":"Lean.MetavarContext.MkBinding.instMonadMCtxM","line":891,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instMonadMCtxM","doc":""},"Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L902-L904","name":"Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq","line":902,"kind":"instance","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprMInstBEqExprStructEqInstHashableExprStructEq","doc":""},"Lean.MetavarContext.MkBinding.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1150-L1155","name":"Lean.MetavarContext.MkBinding.elimMVarDeps","line":1150,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.elimMVarDeps","doc":""},"Lean.MetavarContext.MkBinding.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L949-L973","name":"Lean.MetavarContext.MkBinding.collectForwardDeps","line":949,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.collectForwardDeps","doc":"Given `toRevert` an array of free variables s.t. `lctx` contains their declarations,\nreturn a new array of free variables that contains `toRevert` and all variables\nin `lctx` that may depend on `toRevert`.\n\nRemark: the result is sorted by `LocalDecl` indices.\n\nRemark: We used to throw an `Exception.revertFailure` exception when an auxiliary declaration\nhad to be reversed. Recall that auxiliary declarations are created when compiling (mutually)\nrecursive definitions. The `revertFailure` due to auxiliary declaration dependency was originally\nintroduced in Lean3 to address issue https://github.com/leanprover/lean/issues/1258.\nIn Lean4, this solution is not satisfactory because all definitions/theorems are potentially\nrecursive. So, even a simple (incomplete) definition such as\n```\nvariables {α : Type} in\ndef f (a : α) : List α :=\n_\n```\nwould trigger the `Exception.revertFailure` exception. In the definition above,\nthe elaborator creates the auxiliary definition `f : {α : Type} → List α`.\nThe `_` is elaborated as a new fresh variable `?m` that contains `α : Type`, `a : α`, and `f : α → List α` in its context,\nWhen we try to create the lambda `fun {α : Type} (a : α) => ?m`, we first need to create\nan auxiliary `?n` which does not contain `α` and `a` in its context. That is,\nwe create the metavariable `?n : {α : Type} → (a : α) → (f : α → List α) → List α`,\nadd the delayed assignment `?n #[α, a, f] := ?m`, and create the lambda\n`fun {α : Type} (a : α) => ?n α a f`.\nSee `elimMVarDeps` for more information.\nIf we kept using the Lean3 approach, we would get the `Exception.revertFailure` exception because we are\nreverting the auxiliary definition `f`.\n\nNote that https://github.com/leanprover/lean/issues/1258 is not an issue in Lean4 because\nwe have changed how we compile recursive definitions.\n"},"Lean.MetavarContext.MkBinding.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1173-L1175","name":"Lean.MetavarContext.MkBinding.abstractRange","line":1173,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.abstractRange","doc":"Similar to `Expr.abstractRange`, but handles metavariables correctly.\nIt uses `elimMVarDeps` to ensure `e` and the type of the free variables `xs` do not\ncontain a metavariable `?m` s.t. local context of `?m` contains a free variable in `xs`.\n"},"Lean.MetavarContext.MkBinding.State.ngen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L877-L877","name":"Lean.MetavarContext.MkBinding.State.ngen","line":877,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.ngen","doc":""},"Lean.MetavarContext.MkBinding.State.nextMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L876-L876","name":"Lean.MetavarContext.MkBinding.State.nextMacroScope","line":876,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.nextMacroScope","doc":""},"Lean.MetavarContext.MkBinding.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L1-L1","name":"Lean.MetavarContext.MkBinding.State.mk","line":1,"kind":"ctor","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.mk","doc":""},"Lean.MetavarContext.MkBinding.State.mctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L875-L875","name":"Lean.MetavarContext.MkBinding.State.mctx","line":875,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.mctx","doc":""},"Lean.MetavarContext.MkBinding.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L878-L878","name":"Lean.MetavarContext.MkBinding.State.cache","line":878,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State.cache","doc":""},"Lean.MetavarContext.MkBinding.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L874-L878","name":"Lean.MetavarContext.MkBinding.State","line":874,"kind":"structure","docLink":"./Lean/MetavarContext.html#Lean.MetavarContext.MkBinding.State","doc":"`MkBinding` and `elimMVarDepsAux` are mutually recursive, but `cache` is only used at `elimMVarDepsAux`.\nWe use a single state object for convenience.\n\nWe have a `NameGenerator` because we need to generate fresh auxiliary metavariables. 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"},"Lean.Meta.withConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L769-L770","name":"Lean.Meta.withConfig","line":769,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.withConfig","doc":"`withConfig f x` executes `x` using the updated configuration object obtained by applying `f`. 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"},"Lean.Meta.viewSubexpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprLens.lean#L84-L87","name":"Lean.Meta.viewSubexpr","line":84,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.viewSubexpr","doc":"`view visit p e` runs `visit fvars s` where `s : Expr` is the subexpression of `e` at `p`.\nand `fvars` are the free variables for the binders that `s` is under.\n`s` is already instantiated with respect to these.\nThe role of the `visit` function is analogous to the `k` function in `Lean.Meta.forallTelescope`. "},"Lean.Meta.useEtaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L404-L408","name":"Lean.Meta.useEtaStruct","line":404,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.useEtaStruct","doc":"`useEtaStruct inductName` return `true` if we eta for structures is enabled for\nfor the inductive datatype `inductName`.\n\nRecall we have three different settings: `.none` (never use it), `.all` (always use it), `.notClasses`\n(enabled only for structure-like inductive types that are not classes).\n\nThe parameter `inductName` affects the result only if the current setting is `.notClasses`.\n"},"Lean.Meta.unifyEq?.substEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L55-L65","name":"Lean.Meta.unifyEq?.substEq","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?.substEq","doc":""},"Lean.Meta.unifyEq?.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L66-L86","name":"Lean.Meta.unifyEq?.injection","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?.injection","doc":""},"Lean.Meta.unifyEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/UnifyEq.lean#L37-L102","name":"Lean.Meta.unifyEq?","line":37,"kind":"def","docLink":"./Lean/Meta/Tactic/UnifyEq.html#Lean.Meta.unifyEq?","doc":"Helper method for methods such as `Cases.unifyEqs?`.\nGiven the given goal `mvarId` containing the local hypothesis `eqFVarId`, it performs the following operations:\n\n- If `eqFVarId` is a heterogeneous equality, tries to convert it to a homogeneous one.\n- If `eqFVarId` is a homogeneous equality of the form `a = b`, it tries\n - If `a` and `b` are definitionally equal, clear it\n - Normalize `a` and `b` using the current reducibility setting.\n - If `a` (`b`) is a free variable not occurring in `b` (`a`), replace it everywhere.\n - If `a` and `b` are distinct constructors, return `none` to indicate that the goal has been closed.\n - If `a` and `b` are the same contructor, apply `injection`, the result contains the number of new equalities introduced in the goal.\n - It also tries to apply the given `acyclic` method to try to close the goal.\n Remark: It is a parameter because `simp` uses `unifyEq?`, and `acyclic` depends on `simp`.\n"},"Lean.Meta.unificationHintExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/UnificationHint.lean#L32-L36","name":"Lean.Meta.unificationHintExtension","line":32,"kind":"opaque","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.unificationHintExtension","doc":""},"Lean.Meta.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Unfold.lean#L32-L36","name":"Lean.Meta.unfoldTarget","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfoldTarget","doc":""},"Lean.Meta.unfoldProjInstWhenIntances?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L642-L646","name":"Lean.Meta.unfoldProjInstWhenIntances?","line":642,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldProjInstWhenIntances?","doc":"Auxiliary method for unfolding a class projection. when transparency is set to `TransparencyMode.instances`.\nRecall that class instance projections are not marked with `[reducible]` because we want them to be\nin \"reducible canonical form\".\n"},"Lean.Meta.unfoldProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L623-L635","name":"Lean.Meta.unfoldProjInst?","line":623,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldProjInst?","doc":"Auxiliary method for unfolding a class projection.\n"},"Lean.Meta.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Unfold.lean#L38-L43","name":"Lean.Meta.unfoldLocalDecl","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfoldLocalDecl","doc":""},"Lean.Meta.unfoldDefinition?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L649-L728","name":"Lean.Meta.unfoldDefinition?","line":649,"kind":"opaque","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldDefinition?","doc":"Unfold definition using \"smart unfolding\" if possible. 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"},"Lean.Meta.traverseLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprTraverse.lean#L75-L75","name":"Lean.Meta.traverseLambda","line":75,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambda","doc":"Given an expression `fun (x₁ : α₁) ... 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`h : Eq α a b`, try to apply `substCore` "},"Lean.Meta.subst.findEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Subst.lean#L180-L202","name":"Lean.Meta.subst.findEq","line":180,"kind":"def","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.subst.findEq","doc":"Try to find an equation of the form `heq : h = rhs` or `heq : lhs = h` "},"Lean.Meta.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Subst.lean#L140-L202","name":"Lean.Meta.subst","line":140,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.subst","doc":""},"Lean.Meta.splitTarget?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L300-L311","name":"Lean.Meta.splitTarget?.go","line":300,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitTarget?.go","doc":""},"Lean.Meta.splitTarget?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L298-L312","name":"Lean.Meta.splitTarget?","line":298,"kind":"def","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitTarget?","doc":""},"Lean.Meta.splitLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Split.lean#L314-L326","name":"Lean.Meta.splitLocalDecl?","line":314,"kind":"def","docLink":"./Lean/Meta/Tactic/Split.html#Lean.Meta.splitLocalDecl?","doc":""},"Lean.Meta.splitIfTarget?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/SplitIf.lean#L97-L106","name":"Lean.Meta.splitIfTarget?","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/SplitIf.html#Lean.Meta.splitIfTarget?","doc":""},"Lean.Meta.splitIfLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/SplitIf.lean#L108-L118","name":"Lean.Meta.splitIfLocalDecl?","line":108,"kind":"def","docLink":"./Lean/Meta/Tactic/SplitIf.html#Lean.Meta.splitIfLocalDecl?","doc":""},"Lean.Meta.splitAndCore.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L199-L209","name":"Lean.Meta.splitAndCore.go","line":199,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAndCore.go","doc":""},"Lean.Meta.splitAndCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L191-L212","name":"Lean.Meta.splitAndCore","line":191,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAndCore","doc":""},"Lean.Meta.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L221-L222","name":"Lean.Meta.splitAnd","line":221,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.splitAnd","doc":""},"Lean.Meta.sortFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1486-L1493","name":"Lean.Meta.sortFVarIds","line":1486,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.sortFVarIds","doc":"Sort free variables using an order `x < y` iff `x` was defined before `y`.\nIf a free variable is not in the local context, we use their id. 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This method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.simpTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L891-L895","name":"Lean.Meta.simpTarget","line":891,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpTarget","doc":"Simplify the given goal target (aka type). Return `none` if the goal was closed. Return `some mvarId'` otherwise,\nwhere `mvarId'` is the simplified new goal. "},"Lean.Meta.simpStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L926-L929","name":"Lean.Meta.simpStep","line":926,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpStep","doc":"Simplify `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. 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user facing name for metavariables in `toReset`.\nThis a low-level method for \"undoing\" the effect of 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If the subexpression is below a binder\nthe bound variables will be appropriately instantiated with free variables and reabstracted after the replacement.\nIf the subexpression is invalid or points to a type then this will throw. "},"Lean.Meta.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L112-L113","name":"Lean.Meta.replaceLocalDeclDefEq","line":112,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.replaceLocalDeclDefEq","doc":""},"Lean.Meta.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L93-L94","name":"Lean.Meta.replaceLocalDecl","line":93,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.replaceLocalDecl","doc":""},"Lean.Meta.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rename.lean#L21-L22","name":"Lean.Meta.rename","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.Meta.rename","doc":""},"Lean.Meta.removeUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectFVars.lean#L48-L60","name":"Lean.Meta.removeUnused","line":48,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Meta.removeUnused","doc":""},"Lean.Meta.registerSimpAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L389-L394","name":"Lean.Meta.registerSimpAttr","line":389,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.registerSimpAttr","doc":""},"Lean.Meta.registerGetUnfoldEqnFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L127-L130","name":"Lean.Meta.registerGetUnfoldEqnFn","line":127,"kind":"def","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.registerGetUnfoldEqnFn","doc":"Register a new function for retrieving a \"unfold\" equation theorem.\n\nWe generate this kind of equation theorem on demand, and it is generated by more than one module.\nFor example, the structural and well-founded recursion modules generate it.\nMost recent getters are tried first.\n\nA getter returns an `Option Name`. The result is `none` if the getter failed.\nOtherwise, it is a theorem name. Example: the definition\n\n```\ndef f (xs : List Nat) : List Nat :=\n match xs with\n | [] => []\n | x::xs => (x+1)::f xs\n```\nshould have the theorem\n```\n(xs : Nat) →\n f xs =\n match xs with\n | [] => []\n | x::xs => (x+1)::f xs\n```\n"},"Lean.Meta.registerGetEqnsFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L40-L43","name":"Lean.Meta.registerGetEqnsFn","line":40,"kind":"def","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.registerGetEqnsFn","doc":"Register a new function for retrieving equation theorems.\nWe generate equations theorems on demand, and they are generated by more than one module.\nFor example, the structural and well-founded recursion modules generate them.\nMost recent getters are tried first.\n\nA getter returns an `Option (Array Name)`. The result is `none` if the getter failed.\nOtherwise, it is a sequence of theorem names where each one of them corresponds to\nan alternative. 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"},"Lean.Meta.mkLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L463-L464","name":"Lean.Meta.mkLt","line":463,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLt","doc":"Return `a < b` "},"Lean.Meta.mkListLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L432-L439","name":"Lean.Meta.mkListLit","line":432,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkListLit","doc":""},"Lean.Meta.mkLevelStuckErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1543-L1544","name":"Lean.Meta.mkLevelStuckErrorMessage","line":1543,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelStuckErrorMessage","doc":""},"Lean.Meta.mkLevelErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1546-L1547","name":"Lean.Meta.mkLevelErrorMessage","line":1546,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelErrorMessage","doc":""},"Lean.Meta.mkLetValCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L495-L496","name":"Lean.Meta.mkLetValCongr","line":495,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetValCongr","doc":"Return `let_val_congr b h` "},"Lean.Meta.mkLetFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L758-L759","name":"Lean.Meta.mkLetFVars","line":758,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLetFVars","doc":""},"Lean.Meta.mkLetCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L491-L492","name":"Lean.Meta.mkLetCongr","line":491,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetCongr","doc":"Return `let_congr h₁ h₂` "},"Lean.Meta.mkLetBodyCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L499-L500","name":"Lean.Meta.mkLetBodyCongr","line":499,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetBodyCongr","doc":"Return `let_body_congr a h` "},"Lean.Meta.mkLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L467-L468","name":"Lean.Meta.mkLe","line":467,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLe","doc":"Return `a <= b` "},"Lean.Meta.mkLambdaFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L755-L756","name":"Lean.Meta.mkLambdaFVars","line":755,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLambdaFVars","doc":"Takes an array `xs` of free variables and metavariables and a\nbody term `e` and creates `fun ..xs => e`, suitably\nabstracting `e` and the types in `xs`. 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"},"Lean.Meta.mkInjectiveTheorems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L150-L165","name":"Lean.Meta.mkInjectiveTheorems","line":150,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheorems","doc":""},"Lean.Meta.mkInjectiveTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L98-L99","name":"Lean.Meta.mkInjectiveTheoremNameFor","line":98,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheoremNameFor","doc":""},"Lean.Meta.mkInjectiveEqTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L113-L114","name":"Lean.Meta.mkInjectiveEqTheoremNameFor","line":113,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveEqTheoremNameFor","doc":""},"Lean.Meta.mkImpDepCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L530-L531","name":"Lean.Meta.mkImpDepCongrCtx","line":530,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpDepCongrCtx","doc":""},"Lean.Meta.mkImpCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L527-L528","name":"Lean.Meta.mkImpCongrCtx","line":527,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongrCtx","doc":""},"Lean.Meta.mkImpCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L524-L525","name":"Lean.Meta.mkImpCongr","line":524,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongr","doc":""},"Lean.Meta.mkIffOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L593-L597","name":"Lean.Meta.mkIffOfEq","line":593,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkIffOfEq","doc":"Given `h : a = b`, return a proof for `a ↔ b`. "},"Lean.Meta.mkId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L15-L18","name":"Lean.Meta.mkId","line":15,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkId","doc":"Return `id e` "},"Lean.Meta.mkHasTypeButIsExpectedMsg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L117-L126","name":"Lean.Meta.mkHasTypeButIsExpectedMsg","line":117,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.mkHasTypeButIsExpectedMsg","doc":"Return error message \"has type{givenType}\\nbut is expected to have type{expectedType}\"\n"},"Lean.Meta.mkHEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L127-L140","name":"Lean.Meta.mkHEqTrans","line":127,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqTrans","doc":"Given `h₁ : HEq a b`, `h₂ : HEq b c`, returns a proof of `HEq a c`. "},"Lean.Meta.mkHEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L114-L124","name":"Lean.Meta.mkHEqSymm","line":114,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqSymm","doc":"Given `h : HEq a b`, returns a proof of `HEq b a`. "},"Lean.Meta.mkHEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L59-L62","name":"Lean.Meta.mkHEqRefl","line":59,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqRefl","doc":"Return a proof of `HEq a a`. "},"Lean.Meta.mkHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L34-L38","name":"Lean.Meta.mkHEq","line":34,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEq","doc":"Return `HEq a b`. 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to `mkFreshUserName`, but takes into account `tactic.hygienic` option value.\nIf `tactic.hygienic = true`, then the current macro scopes are applied to `binderName`.\nIf not, then an unused (accessible) name (based on `binderName`) in the local context is used.\n"},"Lean.Meta.mkForallFVars'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L123-L138","name":"Lean.Meta.mkForallFVars'","line":123,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.mkForallFVars'","doc":"Similar to `mkForallFVars`, but tries to infer better binder names when `xs` contains metavariables.\nLet `?m` be a metavariable in `xs` s.t. `?m` does not have a user facing name.\nThen, we try to find an application `f ... ?m` in the other binder typer and `type`, and\n(temporarily) use the corresponding parameter name (with a fresh macro scope) as the user facing name for `?m`.\nThe \"renaming\" is temporary.\n"},"Lean.Meta.mkForallFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L749-L750","name":"Lean.Meta.mkForallFVars","line":749,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkForallFVars","doc":"Takes an array `xs` of free variables or metavariables and a term `e` that may contain those variables, and abstracts and binds them as universal quantifiers.\n\n- if `usedOnly = true` then only variables that the expression body depends on will appear.\n- if `usedLetOnly = true` same as `usedOnly` except for let-bound variables. (That is, local constants which have been assigned a value.)\n "},"Lean.Meta.mkForallCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L533-L534","name":"Lean.Meta.mkForallCongr","line":533,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkForallCongr","doc":""},"Lean.Meta.mkFalseElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L71-L73","name":"Lean.Meta.mkFalseElim","line":71,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFalseElim","doc":"Given `h : False`, return an instance of type `e`. "},"Lean.Meta.mkExpectedTypeHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L23-L25","name":"Lean.Meta.mkExpectedTypeHint","line":23,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkExpectedTypeHint","doc":"Given `e` s.t. `inferType e` is definitionally equal to `expectedType`, return\nterm `@id expectedType e`. "},"Lean.Meta.mkEqTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L507-L508","name":"Lean.Meta.mkEqTrue","line":507,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrue","doc":"Return `eq_true h` "},"Lean.Meta.mkEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L98-L111","name":"Lean.Meta.mkEqTrans","line":98,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrans","doc":"Given `h₁ : a = b` and `h₂ : b = c` returns a proof of `a = c`. "},"Lean.Meta.mkEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L86-L95","name":"Lean.Meta.mkEqSymm","line":86,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqSymm","doc":"Given `h : a = b`, returns a proof of `b = a`. "},"Lean.Meta.mkEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L53-L56","name":"Lean.Meta.mkEqRefl","line":53,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRefl","doc":"Return a proof of `a = a`. "},"Lean.Meta.mkEqRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L361-L375","name":"Lean.Meta.mkEqRec","line":361,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRec","doc":""},"Lean.Meta.mkEqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L143-L152","name":"Lean.Meta.mkEqOfHEq","line":143,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqOfHEq","doc":"Given `h : Eq a b`, returns a proof of `HEq a b`. "},"Lean.Meta.mkEqNDRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L346-L359","name":"Lean.Meta.mkEqNDRec","line":346,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqNDRec","doc":""},"Lean.Meta.mkEqMPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L380-L381","name":"Lean.Meta.mkEqMPR","line":380,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMPR","doc":""},"Lean.Meta.mkEqMP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L377-L378","name":"Lean.Meta.mkEqMP","line":377,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMP","doc":""},"Lean.Meta.mkEqHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L43-L50","name":"Lean.Meta.mkEqHEq","line":43,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqHEq","doc":"If `a` and `b` have definitionally equal types, return `Eq a b`, otherwise return `HEq a b`.\n"},"Lean.Meta.mkEqFalse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L521-L522","name":"Lean.Meta.mkEqFalse'","line":521,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse'","doc":"Return `eq_false' h`\n`h` must have type definitionally equal to `p → False` in the current\nreducibility setting. "},"Lean.Meta.mkEqFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L514-L515","name":"Lean.Meta.mkEqFalse","line":514,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse","doc":"Return `eq_false h`\n`h` must have type definitionally equal to `¬ p` in the current\nreducibility setting. "},"Lean.Meta.mkEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L28-L31","name":"Lean.Meta.mkEq","line":28,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEq","doc":"Return `a = b`. "},"Lean.Meta.mkDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L471-L472","name":"Lean.Meta.mkDefault","line":471,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDefault","doc":"Return `Inhabited.default α` "},"Lean.Meta.mkDecideProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L455-L460","name":"Lean.Meta.mkDecideProof","line":455,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecideProof","doc":"Return a proof for `p : Prop` using `decide p` "},"Lean.Meta.mkDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L451-L452","name":"Lean.Meta.mkDecide","line":451,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecide","doc":"Return `Decidable.decide p` "},"Lean.Meta.mkCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L115-L137","name":"Lean.Meta.mkCustomEliminator","line":115,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.mkCustomEliminator","doc":""},"Lean.Meta.mkConstWithFreshMVarLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L493-L495","name":"Lean.Meta.mkConstWithFreshMVarLevels","line":493,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkConstWithFreshMVarLevels","doc":"Create a constant with the given name and new universe metavariables.\nExample: ``mkConstWithFreshMVarLevels `Monad`` returns `@Monad.{?u, ?v}`\n"},"Lean.Meta.mkCongrSimpCore?.mkProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L292-L315","name":"Lean.Meta.mkCongrSimpCore?.mkProof.go","line":292,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L291-L316","name":"Lean.Meta.mkCongrSimpCore?.mkProof","line":291,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L259-L286","name":"Lean.Meta.mkCongrSimpCore?.mk?.go","line":259,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L254-L289","name":"Lean.Meta.mkCongrSimpCore?.mk?","line":254,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?","doc":"Create a congruence theorem that is useful for the simplifier.\nIn this kind of theorem, if the i-th argument is a `cast` argument, then the theorem\ncontains an input `a_i` representing the i-th argument in the left-hand-side, and\nit appears with a cast (e.g., `Eq.drec ... a_i ...`) in the right-hand-side.\nThe idea is that the right-hand-side of this theorem \"tells\" the simplifier\nhow the resulting term looks like. "},"Lean.Meta.mkCongrSimpCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L236-L316","name":"Lean.Meta.mkCongrSimpCore?","line":236,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?","doc":"Create a congruence theorem that is useful for the simplifier and `congr` tactic.\n"},"Lean.Meta.mkCongrSimp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L326-L329","name":"Lean.Meta.mkCongrSimp?","line":326,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimp?","doc":"Create a congruence theorem for `f`. The theorem is used in the simplifier.\n\nIf `subsingletonInstImplicitRhs = true`, the the `rhs` corresponding to `[Decidable p]` parameters\nis marked as instance implicit. It forces the simplifier to compute the new instance when applying\nthe congruence theorem.\nFor the `congr` tactic we set it to `false`.\n"},"Lean.Meta.mkCongrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L170-L185","name":"Lean.Meta.mkCongrFun","line":170,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrFun","doc":"Given `h : f = g` and `a : α`, returns a proof of `f a = g a`."},"Lean.Meta.mkCongrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L155-L167","name":"Lean.Meta.mkCongrArg","line":155,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrArg","doc":"Given `f : α → β` and `h : a = b`, returns a proof of `f a = f b`."},"Lean.Meta.mkCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L188-L206","name":"Lean.Meta.mkCongr","line":188,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongr","doc":"Given `h₁ : f = g` and `h₂ : a = b`, returns a proof of `f a = g b`. "},"Lean.Meta.mkAuxTheoremFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L399-L402","name":"Lean.Meta.mkAuxTheoremFor","line":399,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheoremFor","doc":"Similar to `mkAuxTheorem`, but infers the type of `value`.\n"},"Lean.Meta.mkAuxTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L372-L394","name":"Lean.Meta.mkAuxTheorem","line":372,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheorem","doc":"Create an auxiliary theorem with the given name, type and value. It is similar to `mkAuxDefinition`.\n"},"Lean.Meta.mkAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L656-L657","name":"Lean.Meta.mkAuxMVar","line":656,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.mkAuxMVar","doc":""},"Lean.Meta.mkAuxLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/AuxLemma.lean#L26-L39","name":"Lean.Meta.mkAuxLemma","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.mkAuxLemma","doc":"Helper method for creating auxiliary lemmas in the environment.\n\nIt uses a cache that maps `type` to declaration name. The cache is not stored in `.olean` files.\nIt is useful to make sure the same auxiliary lemma is not created over and over again in the same file.\n\nThis method is useful for tactics (e.g., `simp`) that may perform preprocessing steps to lemmas provided by\nusers. For example, `simp` preprocessor may convert a lemma into multiple ones.\n"},"Lean.Meta.mkAuxDefinitionFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L364-L367","name":"Lean.Meta.mkAuxDefinitionFor","line":364,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinitionFor","doc":"Similar to `mkAuxDefinition`, but infers the type of `value`. "},"Lean.Meta.mkAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Closure.lean#L347-L361","name":"Lean.Meta.mkAuxDefinition","line":347,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinition","doc":"Create an auxiliary definition with the given name, type and value.\nThe parameters `type` and `value` may contain free and meta variables.\nA \"closure\" is computed, and a term of the form `name.{u_1 ... u_n} t_1 ... t_m` is\nreturned where `u_i`s are universe parameters and metavariables `type` and `value` depend on,\nand `t_j`s are free and meta variables `type` and `value` depend on. "},"Lean.Meta.mkArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L441-L444","name":"Lean.Meta.mkArrayLit","line":441,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkArrayLit","doc":""},"Lean.Meta.mkAppOptM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L341-L344","name":"Lean.Meta.mkAppOptM'","line":341,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM'","doc":"Similar to `mkAppOptM`, but takes an `Expr` instead of a constant name "},"Lean.Meta.mkAppOptM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L335-L338","name":"Lean.Meta.mkAppOptM","line":335,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM","doc":"Similar to `mkAppM`, but it allows us to specify which arguments are provided explicitly using `Option` type.\nExample:\nGiven `Pure.pure {m : Type u → Type v} [Pure m] {α : Type u} (a : α) : m α`,\n```\nmkAppOptM `Pure.pure #[m, none, none, a]\n```\nreturns a `Pure.pure` application if the instance `Pure m` can be synthesized, and the universe match.\nNote that,\n```\nmkAppM `Pure.pure #[a]\n```\nfails because the only explicit argument `(a : α)` is not sufficient for inferring the remaining arguments,\nwe would need the expected type. "},"Lean.Meta.mkAppM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L284-L287","name":"Lean.Meta.mkAppM'","line":284,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM'","doc":"Similar to `mkAppM`, but takes an `Expr` instead of a constant name. "},"Lean.Meta.mkAppM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L278-L281","name":"Lean.Meta.mkAppM","line":278,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM","doc":"Return the application `constName xs`.\nIt tries to fill the implicit arguments before the last element in `xs`.\n\nRemark:\n``mkAppM `arbitrary #[α]`` returns `@arbitrary.{u} α` without synthesizing\nthe implicit argument occurring after `α`.\nGiven a `x : (([Decidable p] → Bool) × Nat`, ``mkAppM `Prod.fst #[x]`` returns `@Prod.fst ([Decidable p] → Bool) Nat x`\n"},"Lean.Meta.mkAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L566-L566","name":"Lean.Meta.mkAdd","line":566,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAdd","doc":"Return `a + b` using a heterogeneous `+`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkAbsurd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AppBuilder.lean#L65-L68","name":"Lean.Meta.mkAbsurd","line":65,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAbsurd","doc":"Given `hp : P` and `nhp : Not P` returns an instance of type `e`. "},"Lean.Meta.matchNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L45-L52","name":"Lean.Meta.matchNot?","line":45,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNot?","doc":""},"Lean.Meta.matchNe?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L54-L61","name":"Lean.Meta.matchNe?","line":54,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNe?","doc":""},"Lean.Meta.matchMatcherApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L141-L162","name":"Lean.Meta.matchMatcherApp?","line":141,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.matchMatcherApp?","doc":""},"Lean.Meta.matchHelper?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L17-L20","name":"Lean.Meta.matchHelper?","line":17,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHelper?","doc":""},"Lean.Meta.matchHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L26-L27","name":"Lean.Meta.matchHEq?","line":26,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHEq?","doc":""},"Lean.Meta.matchFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L42-L43","name":"Lean.Meta.matchFalse","line":42,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchFalse","doc":""},"Lean.Meta.matchEqHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L32-L40","name":"Lean.Meta.matchEqHEq?","line":32,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEqHEq?","doc":"Return `some (α, lhs, rhs)` if `e` is of the form `@Eq α lhs rhs` or `@HEq α lhs α rhs`\n"},"Lean.Meta.matchEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/MatchUtil.lean#L23-L24","name":"Lean.Meta.matchEq?","line":23,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEq?","doc":"Matches `e` with `lhs = (rhs : α)` and returns `(α, lhs, rhs)`. 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whether two universe level expressions are definitionally equal to each other.\n"},"Lean.Meta.isInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L216-L217","name":"Lean.Meta.isInstance","line":216,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.isInstance","doc":""},"Lean.Meta.isInductivePredicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1498-L1505","name":"Lean.Meta.isInductivePredicate","line":1498,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isInductivePredicate","doc":"Return `true` if `declName` is an inductive predicate. 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(x_n : A_n [x_1, ... x_{n-1}])`.\nMoreover,\n- type of `e_1` is definitionally equal to `A_1`,\n- type of `e_2` is definitionally equal to `A_2[e_1]`.\n- ...\n- type of `e_n` is definitionally equal to `A_n[e_1, ..., e_{n-1}]`.\n\nThis method tries to avoid the creation of new free variables. For example, if `e_i` is a\nfree variable `x_i` and it is not a let-declaration variable, and its type does not depend on\nprevious `e_j`s, the method will just use `x_i`.\n\nThe telescope `x_1 ... x_n` can be used to create lambda and forall abstractions.\nMoreover, for any type correct lambda abstraction `f` constructed using `mkForall #[x_1, ..., x_n] ...`,\nThe application `f e_1 ... e_n` is also type correct.\n\nThe `kabstract` method is used to \"locate\" and abstract forward dependencies.\nThat is, an occurrence of `e_i` in the of `e_j` for `j > i`.\n\nThe method checks whether the abstract types `A_i` are type correct. Here is an example\nwhere `generalizeTelescope` fails to create the telescope `x_1 ... x_n`.\nAssume the local context contains `(n : Nat := 10) (xs : Vec Nat n) (ys : Vec Nat 10) (h : xs = ys)`.\nThen, assume we invoke `generalizeTelescope` with `es := #[10, xs, ys, h]`\nA type error is detected when processing `h`'s type. At this point, the method had successfully produced\n```\n (x_1 : Nat) (xs : Vec Nat n) (x_2 : Vec Nat x_1)\n```\nand the type for the new variable abstracting `h` is `xs = x_2` which is not type correct. "},"Lean.Meta.generalizeTargetsEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L45-L59","name":"Lean.Meta.generalizeTargetsEq","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeTargetsEq","doc":""},"Lean.Meta.generalizeIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L85-L122","name":"Lean.Meta.generalizeIndices","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeIndices","doc":"Similar to `generalizeTargets` but customized for the `casesOn` motive.\nGiven a metavariable `mvarId` representing the\n```\nCtx, h : I A j, D |- T\n```\nwhere `fvarId` is `h`s id, and the type `I A j` is an inductive datatype where `A` are parameters,\nand `j` the indices. Generate the goal\n```\nCtx, h : I A j, D, j' : J, h' : I A j' |- j == j' -> h == h' -> T\n```\nRemark: `(j == j' -> h == h')` is a \"telescopic\" equality.\nRemark: `j` is sequence of terms, and `j'` a sequence of free variables.\nThe result contains the fields\n- `mvarId`: the new goal\n- `indicesFVarIds`: `j'` ids\n- `fvarId`: `h'` id\n- `numEqs`: number of equations in the target "},"Lean.Meta.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L78-L79","name":"Lean.Meta.generalize","line":78,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.Meta.generalize","doc":"Telescopic `generalize` tactic. 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We also have the goal `[Pure ?m]`.\nNow, assume the expected type is `IO Bool`. Then, the unification constraint `?m Prop =?= IO Bool` could be solved\nas `?m := fun _ => IO Bool` using `constApprox`, but this spurious solution would generate a failure when we try to\nsolve `[Pure (fun _ => IO Bool)]` "},"Lean.Meta.forallTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1052-L1053","name":"Lean.Meta.forallTelescopeReducing","line":1052,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescopeReducing","doc":"Similar to `forallTelescope`, but given `type` of the form `forall xs, A`,\nit reduces `A` and continues bulding the telescope if it is a `forall`. "},"Lean.Meta.forallTelescopeCompatibleAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L11-L28","name":"Lean.Meta.forallTelescopeCompatibleAux","line":11,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatibleAux","doc":""},"Lean.Meta.forallTelescopeCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L32-L34","name":"Lean.Meta.forallTelescopeCompatible","line":32,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatible","doc":"Given two forall-expressions `type₁` and `type₂`, ensure the first `numParams` parameters are compatible, and\nthen execute `k` with the parameters and remaining types. "},"Lean.Meta.forallTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1043-L1044","name":"Lean.Meta.forallTelescope","line":1043,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescope","doc":"Given `type` of the form `forall xs, A`, execute `k xs A`.\nThis combinator will declare local declarations, create free variables for them,\nexecute `k` with updated local context, and make sure the cache is restored after executing `k`. "},"Lean.Meta.forallMetaTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1147-L1148","name":"Lean.Meta.forallMetaTelescopeReducing","line":1147,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescopeReducing","doc":"Similar to `forallMetaTelescope`, but if `e = forall ..xs, A`\nit will reduce `A` to construct further mvars. "},"Lean.Meta.forallMetaTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1142-L1143","name":"Lean.Meta.forallMetaTelescope","line":1142,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescope","doc":"Given `e` of the form `forall ..xs, A`, this combinator will create a new\nmetavariable for each `x` in `xs` and instantiate `A` with these.\nReturns a product containing\n- the new metavariables\n- the binder info for the `xs`\n- the instantiated `A`\n"},"Lean.Meta.forallMetaBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1152-L1153","name":"Lean.Meta.forallMetaBoundedTelescope","line":1152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaBoundedTelescope","doc":"Similar to `forallMetaTelescopeReducing`, stops\nconstructing the telescope when it reaches size `maxMVars`. "},"Lean.Meta.forallBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1061-L1062","name":"Lean.Meta.forallBoundedTelescope","line":1061,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallBoundedTelescope","doc":"Similar to `forallTelescopeReducing`, stops constructing the telescope when\nit reaches size `maxFVars`. "},"Lean.Meta.forEachExpr'.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L58-L68","name":"Lean.Meta.forEachExpr'.visit","line":58,"kind":"opaque","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'.visit","doc":""},"Lean.Meta.forEachExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L52-L69","name":"Lean.Meta.forEachExpr'","line":52,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'","doc":"Similar to `Expr.forEach'`, but creates free variables whenever going inside of a binder.\nIf the inner function returns `false`, deeper subexpressions will not be visited.\n "},"Lean.Meta.forEachExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ForEachExpr.lean#L72-L75","name":"Lean.Meta.forEachExpr","line":72,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr","doc":"Similar to `Expr.forEach`, but creates free variables whenever going inside of a binder. "},"Lean.Meta.foldPatValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Value.lean#L37-L40","name":"Lean.Meta.foldPatValue","line":37,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.foldPatValue","doc":"The frontend expands uint numerals occurring in patterns into `UInt*.mk ..` contructor applications.\nThis method convert them back into `UInt*.ofNat ..` applications.\n"},"Lean.Meta.foldAncestors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprLens.lean#L106-L109","name":"Lean.Meta.foldAncestors","line":106,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.foldAncestors","doc":"`foldAncestors k init p e` folds over the strict ancestor subexpressions of the given expression `e` above position `p`, starting at the root expression and working down.\nThe fold function `k` is given the newly instantiated free variables, the ancestor subexpression, and the coordinate\nthat will be explored next."},"Lean.Meta.findMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L515-L516","name":"Lean.Meta.findMVarDecl?","line":515,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findMVarDecl?","doc":""},"Lean.Meta.findLocalDeclWithType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L11-L18","name":"Lean.Meta.findLocalDeclWithType?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.findLocalDeclWithType?","doc":"Return a local declaration whose type is definitionally equal to `type`. "},"Lean.Meta.findLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L643-L644","name":"Lean.Meta.findLocalDecl?","line":643,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findLocalDecl?","doc":""},"Lean.Meta.expandCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L24-L33","name":"Lean.Meta.expandCoe","line":24,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.expandCoe","doc":"Expand coercions occurring in `e` "},"Lean.Meta.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L53-L54","name":"Lean.Meta.existsIntro","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.existsIntro","doc":""},"Lean.Meta.exactlyOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L137-L140","name":"Lean.Meta.exactlyOne","line":137,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.exactlyOne","doc":""},"Lean.Meta.evalNat.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Offset.lean#L36-L61","name":"Lean.Meta.evalNat.visit","line":36,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat.visit","doc":""},"Lean.Meta.evalNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Offset.lean#L27-L61","name":"Lean.Meta.evalNat","line":27,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat","doc":"Evaluate simple `Nat` expressions.\nRemark: this method assumes the given expression has type `Nat`. "},"Lean.Meta.evalExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L10-L24","name":"Lean.Meta.evalExprCore","line":10,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExprCore","doc":""},"Lean.Meta.evalExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L26-L30","name":"Lean.Meta.evalExpr'","line":26,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr'","doc":""},"Lean.Meta.evalExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eval.lean#L32-L35","name":"Lean.Meta.evalExpr","line":32,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr","doc":""},"Lean.Meta.etaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1666-L1667","name":"Lean.Meta.etaExpand","line":1666,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.etaExpand","doc":"Eta expand the given expression.\nExample:\n```\netaExpand (mkConst ``Nat.add)\n```\nproduces `fun x y => Nat.add x y`\n"},"Lean.Meta.erasePatternRefAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Transform.lean#L165-L166","name":"Lean.Meta.erasePatternRefAnnotations","line":165,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.erasePatternRefAnnotations","doc":""},"Lean.Meta.eraseInaccessibleAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Transform.lean#L162-L163","name":"Lean.Meta.eraseInaccessibleAnnotations","line":162,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.eraseInaccessibleAnnotations","doc":""},"Lean.Meta.eqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Eqns.lean#L57-L58","name":"Lean.Meta.eqnsExt","line":57,"kind":"opaque","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.eqnsExt","doc":""},"Lean.Meta.ensureAtMostOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L142-L146","name":"Lean.Meta.ensureAtMostOne","line":142,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.ensureAtMostOne","doc":""},"Lean.Meta.elimOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Injective.lean#L26-L31","name":"Lean.Meta.elimOptParam","line":26,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.elimOptParam","doc":""},"Lean.Meta.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L765-L766","name":"Lean.Meta.elimMVarDeps","line":765,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.elimMVarDeps","doc":""},"Lean.Meta.dsimpGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L1022-L1053","name":"Lean.Meta.dsimpGoal","line":1022,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimpGoal","doc":""},"Lean.Meta.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L858-L860","name":"Lean.Meta.dsimp","line":858,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimp","doc":""},"Lean.Meta.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L35-L36","name":"Lean.Meta.deltaTarget","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaTarget","doc":""},"Lean.Meta.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L47-L48","name":"Lean.Meta.deltaLocalDecl","line":47,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaLocalDecl","doc":""},"Lean.Meta.deltaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L20-L24","name":"Lean.Meta.deltaExpand","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaExpand","doc":"Low-level delta expansion. It is used to implement equation lemmas and elimination principles for recursive definitions. "},"Lean.Meta.delta?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L11-L17","name":"Lean.Meta.delta?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.delta?","doc":""},"Lean.Meta.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L43-L44","name":"Lean.Meta.define","line":43,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.define","doc":""},"Lean.Meta.defaultInstanceExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L247-L251","name":"Lean.Meta.defaultInstanceExtension","line":247,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.defaultInstanceExtension","doc":""},"Lean.Meta.decLevel?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L53-L59","name":"Lean.Meta.decLevel?","line":53,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel?","doc":""},"Lean.Meta.decLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L61-L64","name":"Lean.Meta.decLevel","line":61,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel","doc":""},"Lean.Meta.customEliminatorExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L108-L113","name":"Lean.Meta.customEliminatorExt","line":108,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.customEliminatorExt","doc":""},"Lean.Meta.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L229-L230","name":"Lean.Meta.contradiction","line":229,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.contradiction","doc":""},"Lean.Meta.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L31-L32","name":"Lean.Meta.constructor","line":31,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.constructor","doc":""},"Lean.Meta.congrExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L45-L50","name":"Lean.Meta.congrExtension","line":45,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.congrExtension","doc":""},"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L119-L128","name":"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","line":119,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","doc":""},"Lean.Meta.computeSynthOrder.assignMVarsIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L139-L143","name":"Lean.Meta.computeSynthOrder.assignMVarsIn","line":139,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.assignMVarsIn","doc":""},"Lean.Meta.computeSynthOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L113-L188","name":"Lean.Meta.computeSynthOrder","line":113,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder","doc":"Compute the order the arguments of `inst` should by synthesized.\n\nThe synthesization order makes sure that all mvars in non-out-params of the\nsubgoals are assigned before we try to synthesize it. Otherwise it goes left\nto right.\n\nFor example:\n - `[Add α] [Zero α] : Foo α` returns `[0, 1]`\n - `[Mul A] [Mul B] [MulHomClass F A B] : FunLike F A B` returns `[2, 0, 1]`\n (because A B are out-params and are only filled in once we synthesize 2)\n\n(The type of `inst` must not contain mvars.)\n"},"Lean.Meta.compatibleCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Inductive.lean#L13-L21","name":"Lean.Meta.compatibleCtors","line":13,"kind":"def","docLink":"./Lean/Meta/Inductive.html#Lean.Meta.compatibleCtors","doc":"Return true if the types of the given constructors are compatible. "},"Lean.Meta.collectMVarsAtDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectMVars.lean#L41-L42","name":"Lean.Meta.collectMVarsAtDecl","line":41,"kind":"def","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVarsAtDecl","doc":""},"Lean.Meta.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectMVars.lean#L20-L29","name":"Lean.Meta.collectMVars","line":20,"kind":"opaque","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVars","doc":"Collect unassigned metavariables occuring in the given expression.\n\nRemark: if `e` contains `?m` and there is a `t` assigned to `?m`, we\ncollect unassigned metavariables occurring in `t`.\n\nRemark: if `e` contains `?m` and `?m` is delayed assigned to some term `t`,\nwe collect `?m` and unassigned metavariables occurring in `t`.\nWe collect `?m` because it has not been assigned yet. "},"Lean.Meta.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L741-L742","name":"Lean.Meta.collectForwardDeps","line":741,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.collectForwardDeps","doc":"Collect forward dependencies for the free variables in `toRevert`.\nRecall that when reverting free variables `xs`, we must also revert their forward dependencies.\n"},"Lean.Meta.coerceToSort?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L69-L79","name":"Lean.Meta.coerceToSort?","line":69,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToSort?","doc":"Coerces `expr` to a type. "},"Lean.Meta.coerceToFunction?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L56-L66","name":"Lean.Meta.coerceToFunction?","line":56,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToFunction?","doc":"Coerces `expr` to a function type. "},"Lean.Meta.coerceSimple?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L41-L53","name":"Lean.Meta.coerceSimple?","line":41,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceSimple?","doc":"Coerces `expr` to `expectedType` using `CoeT`. "},"Lean.Meta.coerceMonadLift?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L155-L197","name":"Lean.Meta.coerceMonadLift?","line":155,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceMonadLift?","doc":"Try coercions and monad lifts to make sure `e` has type `expectedType`.\n\nIf `expectedType` is of the form `n β`, we try monad lifts and other extensions.\n\nExtensions for monads.\n\n1. Try to unify `n` and `m`. If it succeeds, then we use\n ```\n coeM {m : Type u → Type v} {α β : Type u} [∀ a, CoeT α a β] [Monad m] (x : m α) : m β\n ```\n `n` must be a `Monad` to use this one.\n\n2. If there is monad lift from `m` to `n` and we can unify `α` and `β`, we use\n ```\n liftM : ∀ {m : Type u_1 → Type u_2} {n : Type u_1 → Type u_3} [self : MonadLiftT m n] {α : Type u_1}, m α → n α\n ```\n Note that `n` may not be a `Monad` in this case. This happens quite a bit in code such as\n ```\n def g (x : Nat) : IO Nat := do\n IO.println x\n pure x\n\n def f {m} [MonadLiftT IO m] : m Nat :=\n g 10\n\n ```\n\n3. If there is a monad lift from `m` to `n` and a coercion from `α` to `β`, we use\n ```\n liftCoeM {m : Type u → Type v} {n : Type u → Type w} {α β : Type u} [MonadLiftT m n] [∀ a, CoeT α a β] [Monad n] (x : m α) : n β\n ```\n\nNote that approach 3 does not subsume 1 because it is only applicable if there is a coercion from `α` to `β` for all values in `α`.\nThis is not the case for example for `pure $ x > 0` when the expected type is `IO Bool`. The given type is `IO Prop`, and\nwe only have a coercion from decidable propositions. Approach 1 works because it constructs the coercion `CoeT (m Prop) (pure $ x > 0) (m Bool)`\nusing the instance `pureCoeDepProp`.\n\nNote that, approach 2 is more powerful than `tryCoe`.\nRecall that type class resolution never assigns metavariables created by other modules.\nNow, consider the following scenario\n```lean\ndef g (x : Nat) : IO Nat := ...\ndeg h (x : Nat) : StateT Nat IO Nat := do\nv ← g x;\nIO.Println v;\n...\n```\nLet's assume there is no other occurrence of `v` in `h`.\nThus, we have that the expected of `g x` is `StateT Nat IO ?α`,\nand the given type is `IO Nat`. So, even if we add a coercion.\n```\ninstance {α m n} [MonadLiftT m n] {α} : Coe (m α) (n α) := ...\n```\nIt is not applicable because TC would have to assign `?α := Nat`.\nOn the other hand, TC can easily solve `[MonadLiftT IO (StateT Nat IO)]`\nsince this goal does not contain any metavariables. And then, we\nconvert `g x` into `liftM $ g x`.\n"},"Lean.Meta.coerce?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L203-L210","name":"Lean.Meta.coerce?","line":203,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerce?","doc":"Coerces `expr` to the type `expectedType`.\nReturns `.some coerced` on successful coercion,\n`.none` if the expression cannot by coerced to that type,\nor `.undef` if we need more metavariable assignments. "},"Lean.Meta.coeDeclAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L13-L14","name":"Lean.Meta.coeDeclAttr","line":13,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coeDeclAttr","doc":""},"Lean.Meta.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L38-L39","name":"Lean.Meta.clear","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.clear","doc":""},"Lean.Meta.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cleanup.lean#L70-L71","name":"Lean.Meta.cleanup","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.Meta.cleanup","doc":""},"Lean.Meta.checkpointDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1593-L1620","name":"Lean.Meta.checkpointDefEq","line":1593,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.checkpointDefEq","doc":"`checkpointDefEq x` executes `x` and process all postponed universe level constraints produced by `x`.\nWe keep the modifications only if `processPostponed` return true and `x` returned `true`.\n\nIf `mayPostpone == false`, all new postponed universe level constraints must be solved before returning.\nWe currently try to postpone universe constraints as much as possible, even when by postponing them we\nare not sure whether `x` really succeeded or not.\n"},"Lean.Meta.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L53-L54","name":"Lean.Meta.checkNotAssigned","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.checkNotAssigned","doc":""},"Lean.Meta.checkAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L933-L950","name":"Lean.Meta.checkAssignment","line":933,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.checkAssignment","doc":"Auxiliary function for handling constraints of the form `?m a₁ ... aₙ =?= v`.\nIt will check whether we can perform the assignment\n```\n?m := fun fvars => v\n```\nThe result is `none` if the assignment can't be performed.\nThe result is `some newV` where `newV` is a possibly updated `v`. This method may need\nto unfold let-declarations. "},"Lean.Meta.checkApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L136-L144","name":"Lean.Meta.checkApp","line":136,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.checkApp","doc":""},"Lean.Meta.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L189-L196","name":"Lean.Meta.check","line":189,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.check","doc":"Throw an exception if `e` is not type correct.\n"},"Lean.Meta.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L156-L157","name":"Lean.Meta.changeLocalDecl","line":156,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.changeLocalDecl","doc":""},"Lean.Meta.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L128-L129","name":"Lean.Meta.change","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.change","doc":""},"Lean.Meta.casesOnStuckLHS?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L52-L53","name":"Lean.Meta.casesOnStuckLHS?","line":52,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS?","doc":""},"Lean.Meta.casesOnStuckLHS.findFVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L27-L50","name":"Lean.Meta.casesOnStuckLHS.findFVar?","line":27,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS.findFVar?","doc":""},"Lean.Meta.casesOnStuckLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L20-L50","name":"Lean.Meta.casesOnStuckLHS","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS","doc":"Helper method for `proveCondEqThm`. Given a goal of the form `C.rec ... xMajor = rhs`,\napply `cases xMajor`. "},"Lean.Meta.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L265-L266","name":"Lean.Meta.cases","line":265,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.cases","doc":""},"Lean.Meta.caseValues.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L83-L102","name":"Lean.Meta.caseValues.loop","line":83,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValues.loop","doc":""},"Lean.Meta.caseValues":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L82-L103","name":"Lean.Meta.caseValues","line":82,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValues","doc":"Split goal `... |- C x` into values.size + 1 subgoals\n1) `..., (h_1 : x = value[0]) |- C value[0]`\n...\nn) `..., (h_n : x = value[n - 1]) |- C value[n - 1]`\nn+1) `..., (h_1 : x != value[0]) ... (h_n : x != value[n-1]) |- C x`\nwhere `n = values.size`\nwhere `fvarId` is `x`s id.\nThe type of `x` must have decidable equality.\n\nRemark: the last subgoal is for the \"else\" catchall case, and its `subst` is `{}`.\nRemark: the fiels `newHs` has size 1 forall but the last subgoal.\n\nIf `substNewEqs = true`, then the new `h_i` equality hypotheses are substituted in the first `n` cases.\n"},"Lean.Meta.caseValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseValues.lean#L55-L59","name":"Lean.Meta.caseValue","line":55,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValue","doc":""},"Lean.Meta.caseArraySizes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/CaseArraySizes.lean#L60-L87","name":"Lean.Meta.caseArraySizes","line":60,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.caseArraySizes","doc":"Split goal `... |- C a` into sizes.size + 1 subgoals\n1) `..., x_1 ... x_{sizes[0]} |- C #[x_1, ... x_{sizes[0]}]`\n...\nn) `..., x_1 ... x_{sizes[n-1]} |- C #[x_1, ..., x_{sizes[n-1]}]`\nn+1) `..., (h_1 : a.size != sizes[0]), ..., (h_n : a.size != sizes[n-1]) |- C a`\nwhere `n = sizes.size` "},"Lean.Meta.canUnfoldAtMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/WHNF.lean#L390-L413","name":"Lean.Meta.canUnfoldAtMatcher","line":390,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.canUnfoldAtMatcher","doc":"The \"match\" compiler uses `if-then-else` expressions and other auxiliary declarations to compile match-expressions such as\n```\nmatch v with\n| 'a' => 1\n| 'b' => 2\n| _ => 3\n```\nbecause it is more efficient than using `casesOn` recursors.\nThe method `reduceMatcher?` fails if these auxiliary definitions (e.g., `ite`) cannot be unfolded in the current\ntransparency setting. This is problematic because tactics such as `simp` use `TransparencyMode.reducible`, and\nmost users assume that expressions such as\n```\nmatch 0 with\n| 0 => 1\n| 100 => 2\n| _ => 3\n```\nshould reduce in any transparency mode.\nThus, we define a custom `canUnfoldAtMatcher` predicate for `whnfMatcher`.\n\nThis solution is not very modular because modifications at the `match` compiler require changes here.\nWe claim this is defensible because it is reducing the auxiliary declaration defined by the `match` compiler.\n\nAlternative solution: tactics that use `TransparencyMode.reducible` should rely on the equations we generated for match-expressions.\nThis solution is also not perfect because the match-expression above will not reduce during type checking when we are not using\n`TransparencyMode.default` or `TransparencyMode.all`.\n"},"Lean.Meta.canUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/GetConst.lean#L22-L27","name":"Lean.Meta.canUnfold","line":22,"kind":"def","docLink":"./Lean/Meta/GetConst.html#Lean.Meta.canUnfold","doc":""},"Lean.Meta.auxLemmasExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/AuxLemma.lean#L15-L15","name":"Lean.Meta.auxLemmasExt","line":15,"kind":"opaque","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.auxLemmasExt","doc":""},"Lean.Meta.autoLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Coe.lean#L35-L38","name":"Lean.Meta.autoLift","line":35,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.autoLift","doc":""},"Lean.Meta.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L29-L30","name":"Lean.Meta.assumptionCore","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumptionCore","doc":""},"Lean.Meta.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L38-L39","name":"Lean.Meta.assumption","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumption","doc":""},"Lean.Meta.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L113-L114","name":"Lean.Meta.assertHypotheses","line":113,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertHypotheses","doc":""},"Lean.Meta.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L63-L64","name":"Lean.Meta.assertExt","line":63,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertExt","doc":""},"Lean.Meta.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L87-L88","name":"Lean.Meta.assertAfter","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertAfter","doc":""},"Lean.Meta.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L26-L27","name":"Lean.Meta.assert","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assert","doc":""},"Lean.Meta.approxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1354-L1355","name":"Lean.Meta.approxDefEq","line":1354,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.approxDefEq","doc":"Execute `x` using approximate unification: `foApprox`, `ctxApprox` and `quasiPatternApprox`. "},"Lean.Meta.applySimpResultToTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L866-L873","name":"Lean.Meta.applySimpResultToTarget","line":866,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToTarget","doc":"Auxiliary method.\nGiven the current `target` of `mvarId`, apply `r` which is a new target and proof that it is equal to the current one.\n"},"Lean.Meta.applySimpResultToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L902-L915","name":"Lean.Meta.applySimpResultToProp","line":902,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToProp","doc":"Apply the result `r` for `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. Return `some (proof', prop')`\notherwise, where `proof' : prop'` and `prop'` is the simplified `prop`.\n\nThis method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.applySimpResultToLocalDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L931-L942","name":"Lean.Meta.applySimpResultToLocalDeclCore","line":931,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToLocalDeclCore","doc":""},"Lean.Meta.applySimpResultToLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/Main.lean#L947-L957","name":"Lean.Meta.applySimpResultToLocalDecl","line":947,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.applySimpResultToLocalDecl","doc":"Simplify `simp` result to the given local declaration. Return `none` if the goal was closed.\nThis method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. 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urceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Check.lean#L72-L112","name":"Lean.Meta.addPPExplicitToExposeDiff","line":72,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.addPPExplicitToExposeDiff","doc":"Given two expressions `a` and `b`, this method tries to annotate terms with `pp.explicit := true` to\nexpose \"implicit\" differences. For example, suppose `a` and `b` are of the form\n```lean\n@HashMap Nat Nat eqInst hasInst1\n@HashMap Nat Nat eqInst hasInst2\n```\nBy default, the pretty printer formats both of them as `HashMap Nat Nat`.\nSo, counterintuitive error messages such as\n```lean\nerror: application type mismatch\n HashMap.insert m\nargument\n m\nhas type\n HashMap Nat Nat\nbut is expected to have type\n HashMap Nat Nat\n```\nwould be produced.\nBy adding `pp.explicit := true`, we can generate the more informative error\n```lean\nerror: application type mismatch\n HashMap.insert m\nargument\n m\nhas type\n @HashMap Nat Nat eqInst hasInst1\nbut is expected to have type\n @HashMap Nat Nat eqInst hasInst2\n```\nRemark: this method implements a simple heuristic, we should extend it as we find other counterintuitive\nerror messages.\n"},"Lean.Meta.addInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L74-L77","name":"Lean.Meta.addInstanceEntry","line":74,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addInstanceEntry","doc":""},"Lean.Meta.addInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L190-L195","name":"Lean.Meta.addInstance","line":190,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addInstance","doc":""},"Lean.Meta.addImplicitTargets.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L75-L93","name":"Lean.Meta.addImplicitTargets.collect","line":75,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addImplicitTargets.collect","doc":""},"Lean.Meta.addImplicitTargets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L65-L93","name":"Lean.Meta.addImplicitTargets","line":65,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addImplicitTargets","doc":"Eliminators/recursors may have implicit targets. For builtin recursors, all indices are implicit targets.\nGiven an eliminator and the sequence of explicit targets, this methods returns a new sequence containing\nimplicit and explicit targets.\n"},"Lean.Meta.addGlobalInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/GlobalInstances.lean#L17-L18","name":"Lean.Meta.addGlobalInstance","line":17,"kind":"def","docLink":"./Lean/Meta/GlobalInstances.html#Lean.Meta.addGlobalInstance","doc":""},"Lean.Meta.addDefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L241-L245","name":"Lean.Meta.addDefaultInstanceEntry","line":241,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addDefaultInstanceEntry","doc":""},"Lean.Meta.addDefaultInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L253-L263","name":"Lean.Meta.addDefaultInstance","line":253,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.addDefaultInstance","doc":""},"Lean.Meta.addCustomEliminatorEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L104-L106","name":"Lean.Meta.addCustomEliminatorEntry","line":104,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addCustomEliminatorEntry","doc":""},"Lean.Meta.addCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L139-L141","name":"Lean.Meta.addCustomEliminator","line":139,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.addCustomEliminator","doc":""},"Lean.Meta.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L723-L724","name":"Lean.Meta.abstractRange","line":723,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.abstractRange","doc":""},"Lean.Meta.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AbstractNestedProofs.lean#L75-L76","name":"Lean.Meta.abstractNestedProofs","line":75,"kind":"def","docLink":"./Lean/Meta/AbstractNestedProofs.html#Lean.Meta.abstractNestedProofs","doc":"Replace proofs nested in `e` with new lemmas. The new lemmas have names of the form `mainDeclName.proof_` "},"Lean.Meta.abstractMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/AbstractMVars.lean#L128-L134","name":"Lean.Meta.abstractMVars","line":128,"kind":"def","docLink":"./Lean/Meta/AbstractMVars.html#Lean.Meta.abstractMVars","doc":"Abstract (current depth) metavariables occurring in `e`.\nThe result contains\n- An array of universe level parameters that replaced universe metavariables occurring in `e`.\n- The number of (expr) metavariables abstracted.\n- And an expression of the form `fun (m_1 : A_1) ... (m_k : A_k) => e'`, where\n `k` equal to the number of (expr) metavariables abstracted, and `e'` is `e` after we\n replace the metavariables.\n\nExample: given `f.{?u} ?m1` where `?m1 : ?m2 Nat`, `?m2 : Type -> Type`. This function returns\n`{ levels := #[u], size := 2, expr := (fun (m2 : Type -> Type) (m1 : m2 Nat) => f.{u} m1) }`\n\nThis API can be used to \"transport\" to a different metavariable context.\nGiven a new metavariable context, we replace the `AbstractMVarsResult.levels` with\nnew fresh universe metavariables, and instantiate the `(m_i : A_i)` in the lambda-expression\nwith new fresh metavariables.\n\nApplication: we use this method to cache the results of type class resolution. 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"},"Lean.Meta.SynthInstance.mkGeneratorNode?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L225-L236","name":"Lean.Meta.SynthInstance.mkGeneratorNode?","line":225,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkGeneratorNode?","doc":""},"Lean.Meta.SynthInstance.mapMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L181-L182","name":"Lean.Meta.SynthInstance.mapMetaM","line":181,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mapMetaM","doc":""},"Lean.Meta.SynthInstance.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L577-L590","name":"Lean.Meta.SynthInstance.main","line":577,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.main","doc":""},"Lean.Meta.SynthInstance.isNewAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L367-L371","name":"Lean.Meta.SynthInstance.isNewAnswer","line":367,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.isNewAnswer","doc":""},"Lean.Meta.SynthInstance.instInhabitedSynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L184-L185","name":"Lean.Meta.SynthInstance.instInhabitedSynthM","line":184,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedSynthM","doc":""},"Lean.Meta.SynthInstance.instInhabitedInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L35-L35","name":"Lean.Meta.SynthInstance.instInhabitedInstance","line":35,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedInstance","doc":""},"Lean.Meta.SynthInstance.instInhabitedGeneratorNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L43-L43","name":"Lean.Meta.SynthInstance.instInhabitedGeneratorNode","line":43,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedGeneratorNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedConsumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L51-L51","name":"Lean.Meta.SynthInstance.instInhabitedConsumerNode","line":51,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedConsumerNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L153-L153","name":"Lean.Meta.SynthInstance.instInhabitedAnswer","line":153,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedAnswer","doc":""},"Lean.Meta.SynthInstance.getTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L503-L504","name":"Lean.Meta.SynthInstance.getTop","line":503,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getTop","doc":""},"Lean.Meta.SynthInstance.getSubgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L298-L320","name":"Lean.Meta.SynthInstance.getSubgoals","line":298,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getSubgoals","doc":"`getSubgoals lctx localInsts xs inst` creates the subgoals for the instance `inst`.\nThe subgoals are in the context of the free variables `xs`, and\n`(lctx, localInsts)` is the local context and instances before we added the free variables to it.\n\nThis extra complication is required because\n 1- We want all metavariables created by `synthInstance` to share the same local context.\n 2- We want to ensure that applications such as `mvar xs` are higher order patterns.\n\nThe method `getGoals` create a new metavariable for each parameter of `inst`.\nFor example, suppose the type of `inst` is `forall (x_1 : A_1) ... (x_n : A_n), B x_1 ... x_n`.\nThen, we create the metavariables `?m_i : forall xs, A_i`, and return the subset of these\nmetavariables that are instance implicit arguments, and the expressions:\n - `inst (?m_1 xs) ... (?m_n xs)` (aka `instVal`)\n - `B (?m_1 xs) ... (?m_n xs)` "},"Lean.Meta.SynthInstance.getResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L566-L567","name":"Lean.Meta.SynthInstance.getResult","line":566,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getResult","doc":""},"Lean.Meta.SynthInstance.getNextToResume":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L529-L532","name":"Lean.Meta.SynthInstance.getNextToResume","line":529,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getNextToResume","doc":""},"Lean.Meta.SynthInstance.getMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L29-L30","name":"Lean.Meta.SynthInstance.getMaxHeartbeats","line":29,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.getInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L188-L223","name":"Lean.Meta.SynthInstance.getInstances","line":188,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getInstances","doc":"Return globals and locals instances that may unify with `type` "},"Lean.Meta.SynthInstance.getEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L256-L259","name":"Lean.Meta.SynthInstance.getEntry","line":256,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getEntry","doc":""},"Lean.Meta.SynthInstance.generate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L510-L527","name":"Lean.Meta.SynthInstance.generate","line":510,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.generate","doc":"Try the next instance in the node on the top of the generator stack. "},"Lean.Meta.SynthInstance.findEntry?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L253-L254","name":"Lean.Meta.SynthInstance.findEntry?","line":253,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.findEntry?","doc":""},"Lean.Meta.SynthInstance.consume":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L454-L501","name":"Lean.Meta.SynthInstance.consume","line":454,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.consume","doc":"Process the next subgoal in the given consumer node. "},"Lean.Meta.SynthInstance.checkMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L178-L179","name":"Lean.Meta.SynthInstance.checkMaxHeartbeats","line":178,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.checkMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.addAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L385-L399","name":"Lean.Meta.SynthInstance.addAnswer","line":385,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.addAnswer","doc":"Create a new answer after `cNode` resolved all subgoals.\nThat is, `cNode.subgoals == []`.\nAnd then, store it in the tabled entries map, and wakeup waiters. "},"Lean.Meta.SynthInstance.Waiter.root":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L55-L55","name":"Lean.Meta.SynthInstance.Waiter.root","line":55,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.root","doc":""},"Lean.Meta.SynthInstance.Waiter.isRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L57-L59","name":"Lean.Meta.SynthInstance.Waiter.isRoot","line":57,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.isRoot","doc":""},"Lean.Meta.SynthInstance.Waiter.consumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L54-L54","name":"Lean.Meta.SynthInstance.Waiter.consumerNode","line":54,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.consumerNode","doc":""},"Lean.Meta.SynthInstance.Waiter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L53-L55","name":"Lean.Meta.SynthInstance.Waiter","line":53,"kind":"inductive","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter","doc":""},"Lean.Meta.SynthInstance.TableEntry.waiters":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L156-L156","name":"Lean.Meta.SynthInstance.TableEntry.waiters","line":156,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.waiters","doc":""},"Lean.Meta.SynthInstance.TableEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.TableEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.mk","doc":""},"Lean.Meta.SynthInstance.TableEntry.answers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L157-L157","name":"Lean.Meta.SynthInstance.TableEntry.answers","line":157,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.answers","doc":""},"Lean.Meta.SynthInstance.TableEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L155-L157","name":"Lean.Meta.SynthInstance.TableEntry","line":155,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry","doc":""},"Lean.Meta.SynthInstance.SynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L176-L176","name":"Lean.Meta.SynthInstance.SynthM","line":176,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SynthM","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.subgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L279-L279","name":"Lean.Meta.SynthInstance.SubgoalsResult.subgoals","line":279,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.subgoals","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.SubgoalsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.mk","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L280-L280","name":"Lean.Meta.SynthInstance.SubgoalsResult.instVal","line":280,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instVal","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L281-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","line":281,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/SynthInstance.lean#L278-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult","line":278,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult","doc":"See `getSubgoals` and `getSubgoalsAux`\n\nWe use the parameter `j` to reduce the number of `instantiate*` invocations.\nIt is the same approach we use at `forallTelescope` and `lambdaTelescope`.\nGiven `getSubgoalsAux args j subgoals instVal type`,\nwe have that `type.instantiateRevRange j args.size args` does not have loose bound variables. 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The `simp` tactic also uses some of 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"},"Lean.Meta.PostponedEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.PostponedEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.mk","doc":""},"Lean.Meta.PostponedEntry.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L240-L240","name":"Lean.Meta.PostponedEntry.lhs","line":240,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.lhs","doc":""},"Lean.Meta.PostponedEntry.ctx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L243-L243","name":"Lean.Meta.PostponedEntry.ctx?","line":243,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.ctx?","doc":"Context for the surrounding `isDefEq` call when entry was created. "},"Lean.Meta.PostponedEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L237-L244","name":"Lean.Meta.PostponedEntry","line":237,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry","doc":"Auxiliary structure for representing postponed universe constraints.\nRemark: the fields `ref` and `rootDefEq?` are used for error message generation only.\nRemark: we may consider improving the error message generation in the future.\n"},"Lean.Meta.ParamInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.ParamInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.mk","doc":""},"Lean.Meta.ParamInfo.isStrictImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L158-L159","name":"Lean.Meta.ParamInfo.isStrictImplicit","line":158,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isStrictImplicit","doc":""},"Lean.Meta.ParamInfo.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L116-L116","name":"Lean.Meta.ParamInfo.isProp","line":116,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isProp","doc":"`isProp` is true if the parameter is always a proposition. "},"Lean.Meta.ParamInfo.isInstImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L155-L156","name":"Lean.Meta.ParamInfo.isInstImplicit","line":155,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isInstImplicit","doc":""},"Lean.Meta.ParamInfo.isImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L152-L153","name":"Lean.Meta.ParamInfo.isImplicit","line":152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isImplicit","doc":""},"Lean.Meta.ParamInfo.isExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L161-L162","name":"Lean.Meta.ParamInfo.isExplicit","line":161,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isExplicit","doc":""},"Lean.Meta.ParamInfo.isDecInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L121-L121","name":"Lean.Meta.ParamInfo.isDecInst","line":121,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isDecInst","doc":"`isDecInst` is true if the parameter's type is of the form `Decidable ...`.\nThis information affects the generation of congruence theorems.\n"},"Lean.Meta.ParamInfo.higherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L135-L135","name":"Lean.Meta.ParamInfo.higherOrderOutParam","line":135,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.higherOrderOutParam","doc":"`higherOrderOutParam` is true if this parameter is a higher-order output parameter\nof local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter `dom` because it is output parameter of\n`[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.hasFwdDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L112-L112","name":"Lean.Meta.ParamInfo.hasFwdDeps","line":112,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.hasFwdDeps","doc":"`hasFwdDeps` is true if there is another parameter whose type depends on this one. "},"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L149-L149","name":"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","line":149,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","doc":"`dependsOnHigherOrderOutParam` is true if the type of this parameter depends on\nthe higher-order output parameter of a previous local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter with type `dom xs i` since `dom` is an output parameter\nof the instance `[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L110-L110","name":"Lean.Meta.ParamInfo.binderInfo","line":110,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.binderInfo","doc":"The binder annotation for the parameter. "},"Lean.Meta.ParamInfo.backDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L114-L114","name":"Lean.Meta.ParamInfo.backDeps","line":114,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.backDeps","doc":"`backDeps` contains the backwards dependencies. That is, the (0-indexed) position of previous parameters that this one depends on. "},"Lean.Meta.ParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L108-L150","name":"Lean.Meta.ParamInfo","line":108,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo","doc":"Function parameter information cache.\n"},"Lean.Meta.Origin.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L29-L34","name":"Lean.Meta.Origin.stx","line":29,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.stx","doc":"A proof term provided directly to a call to `simp [ref, ...]` where `ref`\nis the provided simp argument (of kind `Parser.Tactic.simpLemma`).\nThe `id` is a unique identifier for the call.\n"},"Lean.Meta.Origin.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L35-L40","name":"Lean.Meta.Origin.other","line":35,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.other","doc":"Some other origin. `name` should not collide with the other types\nfor erasure to work correctly, and simp trace will ignore this lemma.\nThe other origins should be preferred if possible.\n"},"Lean.Meta.Origin.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L44-L48","name":"Lean.Meta.Origin.key","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.key","doc":"A unique identifier corresponding to the origin. "},"Lean.Meta.Origin.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L22-L28","name":"Lean.Meta.Origin.fvar","line":22,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.fvar","doc":"A local hypothesis.\nWhen `contextual := true` is enabled, this fvar may exist in an extension\nof the current local context; it will not be used for rewriting by simp once\nit is out of scope but it may end up in the `usedSimps` trace.\n"},"Lean.Meta.Origin.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L20-L21","name":"Lean.Meta.Origin.decl","line":20,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.decl","doc":"A global declaration in the environment. "},"Lean.Meta.Origin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L19-L41","name":"Lean.Meta.Origin","line":19,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin","doc":"An `Origin` is an identifier for simp theorems which indicates roughly\nwhat action the user took which lead to this theorem existing in the simp set.\n"},"Lean.Meta.MetaM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L331-L333","name":"Lean.Meta.MetaM.toIO","line":331,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.toIO","doc":""},"Lean.Meta.MetaM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L328-L329","name":"Lean.Meta.MetaM.run'","line":328,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run'","doc":""},"Lean.Meta.MetaM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L325-L326","name":"Lean.Meta.MetaM.run","line":325,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run","doc":""},"Lean.Meta.MetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L289-L289","name":"Lean.Meta.MetaM","line":289,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM","doc":""},"Lean.Meta.MatcherApp.uElimPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L133-L133","name":"Lean.Meta.MatcherApp.uElimPos?","line":133,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.uElimPos?","doc":""},"Lean.Meta.MatcherApp.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L164-L169","name":"Lean.Meta.MatcherApp.toExpr","line":164,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.toExpr","doc":""},"Lean.Meta.MatcherApp.remaining":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L139-L139","name":"Lean.Meta.MatcherApp.remaining","line":139,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.remaining","doc":""},"Lean.Meta.MatcherApp.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L134-L134","name":"Lean.Meta.MatcherApp.params","line":134,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.params","doc":""},"Lean.Meta.MatcherApp.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L135-L135","name":"Lean.Meta.MatcherApp.motive","line":135,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.motive","doc":""},"Lean.Meta.MatcherApp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.MatcherApp.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.mk","doc":""},"Lean.Meta.MatcherApp.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L131-L131","name":"Lean.Meta.MatcherApp.matcherName","line":131,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherName","doc":""},"Lean.Meta.MatcherApp.matcherLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L132-L132","name":"Lean.Meta.MatcherApp.matcherLevels","line":132,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherLevels","doc":""},"Lean.Meta.MatcherApp.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L136-L136","name":"Lean.Meta.MatcherApp.discrs","line":136,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.discrs","doc":""},"Lean.Meta.MatcherApp.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L138-L138","name":"Lean.Meta.MatcherApp.alts","line":138,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.alts","doc":""},"Lean.Meta.MatcherApp.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L137-L137","name":"Lean.Meta.MatcherApp.altNumParams","line":137,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.altNumParams","doc":""},"Lean.Meta.MatcherApp.addArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L955-L959","name":"Lean.Meta.MatcherApp.addArg?","line":955,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg?","doc":"Similar `MatcherApp.addArg?`, but returns `none` on failure. "},"Lean.Meta.MatcherApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L919-L952","name":"Lean.Meta.MatcherApp.addArg","line":919,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg","doc":"Given\n- matcherApp `match_i As (fun xs => motive[xs]) discrs (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... (fun ys_n => (alt_n : motive (C_n[ys_n]) remaining`, and\n- expression `e : B[discrs]`,\nConstruct the term\n`match_i As (fun xs => B[xs] -> motive[xs]) discrs (fun ys_1 (y : B[C_1[ys_1]]) => alt_1) ... (fun ys_n (y : B[C_n[ys_n]]) => alt_n) e remaining`, and\nWe use `kabstract` to abstract the discriminants from `B[discrs]`.\nThis method assumes\n- the `matcherApp.motive` is a lambda abstraction where `xs.size == discrs.size`\n- each alternative is a lambda abstraction where `ys_i.size == matcherApp.altNumParams[i]`\n"},"Lean.Meta.MatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L130-L139","name":"Lean.Meta.MatcherApp","line":130,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp","doc":""},"Lean.Meta.Match.withMkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L879-L887","name":"Lean.Meta.Match.withMkMatcherInput","line":879,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withMkMatcherInput","doc":"This function is only used for testing purposes "},"Lean.Meta.Match.withGoalOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L299-L300","name":"Lean.Meta.Match.withGoalOf","line":299,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.withGoalOf","doc":""},"Lean.Meta.Match.withCleanLCtxFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L736-L742","name":"Lean.Meta.Match.withCleanLCtxFor","line":736,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withCleanLCtxFor","doc":"Auxiliary method used at `mkMatcher`. It executes `k` in a local context that contains only\nthe local declarations `m` depends on. This is important because otherwise dependent elimination\nmay \"refine\" the types of unnecessary declarations and accidentally introduce unnecessary dependencies\nin the auto-generated auxiliary declaration. Note that this is not just an optimization because the\nunnecessary dependencies may prevent the termination checker from succeeding. For an example,\nsee issue #1237.\n"},"Lean.Meta.Match.unfoldNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L57-L63","name":"Lean.Meta.Match.unfoldNamedPattern","line":57,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.unfoldNamedPattern","doc":""},"Lean.Meta.Match.toPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L332-L360","name":"Lean.Meta.Match.toPattern","line":332,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.toPattern","doc":"Convert a expression occurring as the argument of a `match` motive application back into a `Pattern`\nFor example, we can use this method to convert `x::y::xs` at\n```\n...\n(motive : List Nat → Sort u_1) (xs : List Nat) (h_1 : (x y : Nat) → (xs : List Nat) → motive (x :: y :: xs))\n...\n```\ninto a pattern object\n"},"Lean.Meta.Match.registerMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L27-L28","name":"Lean.Meta.Match.registerMatchEqns","line":27,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.registerMatchEqns","doc":""},"Lean.Meta.Match.proveCondEqThm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L299-L323","name":"Lean.Meta.Match.proveCondEqThm.go","line":299,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm.go","doc":""},"Lean.Meta.Match.proveCondEqThm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L290-L323","name":"Lean.Meta.Match.proveCondEqThm","line":290,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm","doc":"Helper method for proving a conditional equational theorem associated with an alternative of\nthe `match`-eliminator `matchDeclName`. `type` contains the type of the theorem. "},"Lean.Meta.Match.processInaccessibleAsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L373-L390","name":"Lean.Meta.Match.processInaccessibleAsCtor","line":373,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.processInaccessibleAsCtor","doc":"Given `alt` s.t. the next pattern is an inaccessible pattern `e`,\ntry to normalize `e` into a constructor application.\nIf it is not a constructor, throw an error.\nOtherwise, if it is a constructor application of `ctorName`,\nupdate the next patterns with the fields of the constructor.\nOtherwise, return none. "},"Lean.Meta.Match.mkNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L13-L14","name":"Lean.Meta.Match.mkNamedPattern","line":13,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.mkNamedPattern","doc":""},"Lean.Meta.Match.mkMatcherAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L682-L708","name":"Lean.Meta.Match.mkMatcherAuxDefinition","line":682,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcherAuxDefinition","doc":"Similar to `mkAuxDefinition`, but uses the cache `matcherExt`.\nIt also returns an Boolean that indicates whether a new matcher function was added to the environment or not. "},"Lean.Meta.Match.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L753-L846","name":"Lean.Meta.Match.mkMatcher","line":753,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcher","doc":"Create a dependent matcher for `matchType` where `matchType` is of the form\n`(a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> B[a_1, ..., a_n]`\nwhere `n = numDiscrs`, and the `lhss` are the left-hand-sides of the `match`-expression alternatives.\nEach `AltLHS` has a list of local declarations and a list of patterns.\nThe number of patterns must be the same in each `AltLHS`.\nThe generated matcher has the structure described at `MatcherInfo`. The motive argument is of the form\n`(motive : (a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> Sort v)`\nwhere `v` is a universe parameter or 0 if `B[a_1, ..., a_n]` is a proposition. "},"Lean.Meta.Match.matcherExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L678-L678","name":"Lean.Meta.Match.matcherExt","line":678,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.matcherExt","doc":""},"Lean.Meta.Match.matchEqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L24-L25","name":"Lean.Meta.Match.matchEqnsExt","line":24,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.matchEqnsExt","doc":""},"Lean.Meta.Match.isNamedPattern?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L20-L25","name":"Lean.Meta.Match.isNamedPattern?","line":20,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern?","doc":""},"Lean.Meta.Match.isNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L16-L18","name":"Lean.Meta.Match.isNamedPattern","line":16,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern","doc":""},"Lean.Meta.Match.isCurrVarInductive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L603-L608","name":"Lean.Meta.Match.isCurrVarInductive","line":603,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.isCurrVarInductive","doc":""},"Lean.Meta.Match.instantiatePatternMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L111-L117","name":"Lean.Meta.Match.instantiatePatternMVars","line":111,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiatePatternMVars","doc":""},"Lean.Meta.Match.instantiateAltLHSMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L128-L132","name":"Lean.Meta.Match.instantiateAltLHSMVars","line":128,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiateAltLHSMVars","doc":""},"Lean.Meta.Match.instReprMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instReprMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instReprMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedProblem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L297-L297","name":"Lean.Meta.Match.instInhabitedProblem","line":297,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedProblem","doc":""},"Lean.Meta.Match.instInhabitedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L34-L34","name":"Lean.Meta.Match.instInhabitedPattern","line":34,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedPattern","doc":""},"Lean.Meta.Match.instInhabitedMatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L21-L21","name":"Lean.Meta.Match.instInhabitedMatchEqnsExtState","line":21,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqnsExtState","doc":""},"Lean.Meta.Match.instInhabitedMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedDiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedDiscrInfo","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.instInhabitedDiscrInfo","doc":""},"Lean.Meta.Match.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L162-L162","name":"Lean.Meta.Match.instInhabitedAlt","line":162,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedAlt","doc":""},"Lean.Meta.Match.getNumEqsFromDiscrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L56-L61","name":"Lean.Meta.Match.getNumEqsFromDiscrInfos","line":56,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.getNumEqsFromDiscrInfos","doc":""},"Lean.Meta.Match.getMkMatcherInputInContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L848-L876","name":"Lean.Meta.Match.getMkMatcherInputInContext","line":848,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.getMkMatcherInputInContext","doc":""},"Lean.Meta.Match.getEquationsForImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L698-L701","name":"Lean.Meta.Match.getEquationsForImpl","line":698,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.getEquationsForImpl","doc":""},"Lean.Meta.Match.getEquationsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L34-L34","name":"Lean.Meta.Match.getEquationsFor","line":34,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.getEquationsFor","doc":""},"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L126-L131","name":"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","line":126,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","doc":""},"Lean.Meta.Match.forallAltTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L88-L124","name":"Lean.Meta.Match.forallAltTelescope.go","line":88,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.go","doc":""},"Lean.Meta.Match.forallAltTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L83-L131","name":"Lean.Meta.Match.forallAltTelescope","line":83,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope","doc":"Similar to `forallTelescopeReducing`, but\n\n1. Eliminates arguments for named parameters and the associated equation proofs.\n\n2. Equality parameters associated with the `h : discr` notation are replaced with `rfl` proofs.\n Recall that this kind of parameter always occurs after the parameters correspoting to pattern variables.\n `numNonEqParams` is the size of the prefix.\n\nThe continuation `k` takes four arguments `ys args mask type`.\n- `ys` are variables for the hypotheses that have not been eliminated.\n- `eqs` are variables for equality hypotheses associated with discriminants annotated with `h : discr`.\n- `args` are the arguments for the alternative `alt` that has type `altType`. `ys.size <= args.size`\n- `mask[i]` is true if the hypotheses has not been eliminated. `mask.size == args.size`.\n- `type` is the resulting type for `altType`.\n\nWe use the `mask` to build the splitter proof. See `mkSplitterProof`.\n"},"Lean.Meta.Match.examplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L289-L290","name":"Lean.Meta.Match.examplesToMessageData","line":289,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.examplesToMessageData","doc":""},"Lean.Meta.Match.counterExamplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L313-L314","name":"Lean.Meta.Match.counterExamplesToMessageData","line":313,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExamplesToMessageData","doc":""},"Lean.Meta.Match.counterExampleToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L310-L311","name":"Lean.Meta.Match.counterExampleToMessageData","line":310,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExampleToMessageData","doc":""},"Lean.Meta.Match.bootstrap.genMatcherCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L672-L676","name":"Lean.Meta.Match.bootstrap.genMatcherCode","line":672,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.bootstrap.genMatcherCode","doc":""},"Lean.Meta.Match.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L94-L95","name":"Lean.Meta.Match.addMatcherInfo","line":94,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.addMatcherInfo","doc":""},"Lean.Meta.Match.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L67-L67","name":"Lean.Meta.Match.State.used","line":67,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.used","doc":""},"Lean.Meta.Match.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.mk","doc":""},"Lean.Meta.Match.State.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L68-L68","name":"Lean.Meta.Match.State.counterExamples","line":68,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.counterExamples","doc":""},"Lean.Meta.Match.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L66-L68","name":"Lean.Meta.Match.State","line":66,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State","doc":""},"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L187-L196","name":"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","line":187,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","doc":"Auxiliary tactic that tries to replace as many variables as possible and then apply `contradiction`.\nWe use it to discard redundant hypotheses.\n"},"Lean.Meta.Match.SimpH.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L241-L247","name":"Lean.Meta.Match.SimpH.go","line":241,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.go","doc":""},"Lean.Meta.Match.SimpH.State.xs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L147-L147","name":"Lean.Meta.Match.SimpH.State.xs","line":147,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.xs","doc":""},"Lean.Meta.Match.SimpH.State.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L146-L146","name":"Lean.Meta.Match.SimpH.State.mvarId","line":146,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mvarId","doc":""},"Lean.Meta.Match.SimpH.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L1-L1","name":"Lean.Meta.Match.SimpH.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mk","doc":""},"Lean.Meta.Match.SimpH.State.eqsNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L149-L149","name":"Lean.Meta.Match.SimpH.State.eqsNew","line":149,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqsNew","doc":""},"Lean.Meta.Match.SimpH.State.eqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L148-L148","name":"Lean.Meta.Match.SimpH.State.eqs","line":148,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqs","doc":""},"Lean.Meta.Match.SimpH.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L145-L149","name":"Lean.Meta.Match.SimpH.State","line":145,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State","doc":"State for the equational theorem hypothesis simplifier.\n\nRecall that each equation contains additional hypotheses to ensure the associated case does not taken by previous cases.\nWe have one hypothesis for each previous case.\n\nEach hypothesis is of the form `forall xs, eqs → False`\n\nWe use tactics to minimize code duplication.\n"},"Lean.Meta.Match.SimpH.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L151-L151","name":"Lean.Meta.Match.SimpH.M","line":151,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.M","doc":""},"Lean.Meta.Match.Problem.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L294-L294","name":"Lean.Meta.Match.Problem.vars","line":294,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.vars","doc":""},"Lean.Meta.Match.Problem.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L302-L306","name":"Lean.Meta.Match.Problem.toMessageData","line":302,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.toMessageData","doc":""},"Lean.Meta.Match.Problem.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L293-L293","name":"Lean.Meta.Match.Problem.mvarId","line":293,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mvarId","doc":""},"Lean.Meta.Match.Problem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Problem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mk","doc":""},"Lean.Meta.Match.Problem.examples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L296-L296","name":"Lean.Meta.Match.Problem.examples","line":296,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.examples","doc":""},"Lean.Meta.Match.Problem.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L295-L295","name":"Lean.Meta.Match.Problem.alts","line":295,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.alts","doc":""},"Lean.Meta.Match.Problem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L292-L297","name":"Lean.Meta.Match.Problem","line":292,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem","doc":""},"Lean.Meta.Match.Pattern.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L29-L29","name":"Lean.Meta.Match.Pattern.var","line":29,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.var","doc":""},"Lean.Meta.Match.Pattern.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L31-L31","name":"Lean.Meta.Match.Pattern.val","line":31,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.val","doc":""},"Lean.Meta.Match.Pattern.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L38-L45","name":"Lean.Meta.Match.Pattern.toMessageData","line":38,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toMessageData","doc":""},"Lean.Meta.Match.Pattern.toExpr.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L50-L70","name":"Lean.Meta.Match.Pattern.toExpr.visit","line":50,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr.visit","doc":""},"Lean.Meta.Match.Pattern.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L47-L70","name":"Lean.Meta.Match.Pattern.toExpr","line":47,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr","doc":""},"Lean.Meta.Match.Pattern.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L85-L87","name":"Lean.Meta.Match.Pattern.replaceFVarId","line":85,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.replaceFVarId","doc":""},"Lean.Meta.Match.Pattern.inaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L28-L28","name":"Lean.Meta.Match.Pattern.inaccessible","line":28,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.inaccessible","doc":""},"Lean.Meta.Match.Pattern.hasExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L89-L95","name":"Lean.Meta.Matc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the free variable substitution `s` to the given pattern "},"Lean.Meta.Match.Pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L27-L34","name":"Lean.Meta.Match.Pattern","line":27,"kind":"inductive","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern","doc":""},"Lean.Meta.Match.MkMatcherInput.numDiscrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L716-L717","name":"Lean.Meta.Match.MkMatcherInput.numDiscrs","line":716,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.numDiscrs","doc":""},"Lean.Meta.Match.MkMatcherInput.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.MkMatcherInput.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.mk","doc":""},"Lean.Meta.Match.MkMatcherInput.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L711-L711","name":"Lean.Meta.Match.MkMatcherInput.matcherName","line":711,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matcherName","doc":""},"Lean.Meta.Match.MkMatcherInput.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L712-L712","name":"Lean.Meta.Match.MkMatcherInput.matchType","line":712,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matchType","doc":""},"Lean.Meta.Match.MkMatcherInput.lhss":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L714-L714","name":"Lean.Meta.Match.MkMatcherInput.lhss","line":714,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.lhss","doc":""},"Lean.Meta.Match.MkMatcherInput.discrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L713-L713","name":"Lean.Meta.Match.MkMatcherInput.discrInfos","line":713,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.discrInfos","doc":""},"Lean.Meta.Match.MkMatcherInput.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L719-L721","name":"Lean.Meta.Match.MkMatcherInput.collectFVars","line":719,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectFVars","doc":""},"Lean.Meta.Match.MkMatcherInput.collectDependencies":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L723-L726","name":"Lean.Meta.Match.MkMatcherInput.collectDependencies","line":723,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectDependencies","doc":""},"Lean.Meta.Match.MkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Match.lean#L710-L714","name":"Lean.Meta.Match.MkMatcherInput","line":710,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput","doc":""},"Lean.Meta.Match.MatcherResult.unusedAltIdxs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L319-L319","name":"Lean.Meta.Match.MatcherResult.unusedAltIdxs","line":319,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.unusedAltIdxs","doc":""},"Lean.Meta.Match.MatcherResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.MatcherResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.mk","doc":""},"Lean.Meta.Match.MatcherResult.matcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L317-L317","name":"Lean.Meta.Match.MatcherResult.matcher","line":317,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.matcher","doc":""},"Lean.Meta.Match.MatcherResult.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L318-L318","name":"Lean.Meta.Match.MatcherResult.counterExamples","line":318,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.counterExamples","doc":""},"Lean.Meta.Match.MatcherResult.addMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L320-L320","name":"Lean.Meta.Matc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= { hName? := some h }` if the i-th discriminant was annotated with `h :`.\n"},"Lean.Meta.Match.MatcherInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L38-L39","name":"Lean.Meta.Match.MatcherInfo.arity","line":38,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.arity","doc":""},"Lean.Meta.Match.MatcherInfo.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L28-L28","name":"Lean.Meta.Match.MatcherInfo.altNumParams","line":28,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.altNumParams","doc":""},"Lean.Meta.Match.MatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L25-L33","name":"Lean.Meta.Match.MatcherInfo","line":25,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo","doc":"A \"matcher\" auxiliary declaration has the following structure:\n- `numParams` parameters\n- motive\n- `numDiscrs` discriminators (aka major premises)\n- `altNumParams.size` alternatives (aka minor premises) where alternative `i` has `altNumParams[i]` parameters\n- `uElimPos?` is `some pos` when the matcher can eliminate in different universe levels, and\n `pos` is the position of the universe level parameter that specifies the elimination universe.\n It is `none` if the matcher only eliminates into `Prop`. "},"Lean.Meta.Match.MatchEqnsExtState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqnsExtState.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.mk","doc":""},"Lean.Meta.Match.MatchEqnsExtState.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L20-L20","name":"Lean.Meta.Match.MatchEqnsExtState.map","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.map","doc":""},"Lean.Meta.Match.MatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L19-L21","name":"Lean.Meta.Match.MatchEqnsExtState","line":19,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState","doc":""},"Lean.Meta.Match.MatchEqns.splitterName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L12-L12","name":"Lean.Meta.Match.MatchEqns.splitterName","line":12,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterName","doc":""},"Lean.Meta.Match.MatchEqns.splitterAltNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L13-L13","name":"Lean.Meta.Match.MatchEqns.splitterAltNumParams","line":13,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterAltNumParams","doc":""},"Lean.Meta.Match.MatchEqns.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L16-L17","name":"Lean.Meta.Match.MatchEqns.size","line":16,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.size","doc":""},"Lean.Meta.Match.MatchEqns.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqns.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.mk","doc":""},"Lean.Meta.Match.MatchEqns.eqnNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L11-L11","name":"Lean.Meta.Match.MatchEqns.eqnNames","line":11,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.eqnNames","doc":""},"Lean.Meta.Match.MatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqsExt.lean#L10-L14","name":"Lean.Meta.Match.MatchEqns","line":10,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns","doc":""},"Lean.Meta.Match.InjectionAnyResult.subgoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L340-L340","name":"Lean.Meta.Match.InjectionAnyResult.subgoal","line":340,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.subgoal","doc":""},"Lean.Meta.Match.InjectionAnyResult.solved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L338-L338","name":"Lean.Meta.Match.InjectionAnyResult.solved","line":338,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.solved","doc":""},"Lean.Meta.Match.InjectionAnyResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L339-L339","name":"Lean.Meta.Match.InjectionAnyResult.failed","line":339,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.failed","doc":""},"Lean.Meta.Match.InjectionAnyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatchEqs.lean#L337-L340","name":"Lean.Meta.Match.InjectionAnyResult","line":337,"kind":"inductive","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult","doc":""},"Lean.Meta.Match.Extension.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L75-L75","name":"Lean.Meta.Match.Extension.instInhabitedState","line":75,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.instInhabitedState","doc":""},"Lean.Meta.Match.Extension.getMatcherInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L89-L90","name":"Lean.Meta.Match.Extension.getMatcherInfo?","line":89,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.getMatcherInfo?","doc":""},"Lean.Meta.Match.Extension.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L80-L84","name":"Lean.Meta.Match.Extension.extension","line":80,"kind":"opaque","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.extension","doc":""},"Lean.Meta.Match.Extension.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L86-L87","name":"Lean.Meta.Match.Extension.addMatcherInfo","line":86,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.addMatcherInfo","doc":""},"Lean.Meta.Match.Extension.State.switch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L78-L78","name":"Lean.Meta.Match.Extension.State.switch","line":78,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.switch","doc":""},"Lean.Meta.Match.Extension.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.mk","doc":""},"Lean.Meta.Match.Extension.State.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L73-L73","name":"Lean.Meta.Match.Extension.State.map","line":73,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.map","doc":""},"Lean.Meta.Match.Extension.State.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L77-L77","name":"Lean.Meta.Match.Extension.State.addEntry","line":77,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.addEntry","doc":""},"Lean.Meta.Match.Extension.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L72-L73","name":"Lean.Meta.Match.Extension.State","line":72,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State","doc":""},"Lean.Meta.Match.Extension.Entry.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L69-L69","name":"Lean.Meta.Match.Extension.Entry.name","line":69,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.name","doc":""},"Lean.Meta.Match.Extension.Entry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.Entry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.mk","doc":""},"Lean.Meta.Match.Extension.Entry.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L70-L70","name":"Lean.Meta.Match.Extension.Entry.info","line":70,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.info","doc":""},"Lean.Meta.Match.Extension.Entry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L68-L70","name":"Lean.Meta.Match.Extension.Entry","line":68,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry","doc":""},"Lean.Meta.Match.Example.varsToUnderscore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L273-L277","name":"Lean.Meta.Match.Example.varsToUnderscore","line":273,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.varsToUnderscore","doc":""},"Lean.Meta.Match.Example.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L250-L250","name":"Lean.Meta.Match.Example.var","line":250,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.var","doc":""},"Lean.Meta.Match.Example.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L253-L253","name":"Lean.Meta.Match.Example.val","line":253,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.val","doc":""},"Lean.Meta.Match.Exampl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h` if the discriminant is annotated with `h:` "},"Lean.Meta.Match.DiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/MatcherInfo.lean#L11-L14","name":"Lean.Meta.Match.DiscrInfo","line":11,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.DiscrInfo","doc":""},"Lean.Meta.Match.CounterExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L308-L308","name":"Lean.Meta.Match.CounterExample","line":308,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.CounterExample","doc":""},"Lean.Meta.Match.AltLHS.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L120-L120","name":"Lean.Meta.Match.AltLHS.ref","line":120,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.ref","doc":""},"Lean.Meta.Match.AltLHS.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L122-L122","name":"Lean.Meta.Match.AltLHS.patterns","line":122,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.patterns","doc":""},"Lean.Meta.Match.AltLHS.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.AltLHS.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.mk","doc":""},"Lean.Meta.Match.AltLHS.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L121-L121","name":"Lean.Meta.Match.AltLHS.fvarDecls","line":121,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.fvarDecls","doc":""},"Lean.Meta.Match.AltLHS.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L124-L126","name":"Lean.Meta.Match.AltLHS.collectFVars","line":124,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.collectFVars","doc":""},"Lean.Meta.Match.AltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L119-L122","name":"Lean.Meta.Match.AltLHS","line":119,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS","doc":""},"Lean.Meta.Match.Alt.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L166-L172","name":"Lean.Meta.Match.Alt.toMessageData","line":166,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.toMessageData","doc":""},"Lean.Meta.Match.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L146-L146","name":"Lean.Meta.Match.Alt.rhs","line":146,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.rhs","doc":"Right-hand-side of the alternative.\n"},"Lean.Meta.Match.Alt.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L181-L188","name":"Lean.Meta.Match.Alt.replaceFVarId","line":181,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.replaceFVarId","doc":""},"Lean.Meta.Match.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L137-L137","name":"Lean.Meta.Match.Alt.ref","line":137,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.ref","doc":"`Syntax` object for providing position information "},"Lean.Meta.Match.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L154-L154","name":"Lean.Meta.Match.Alt.patterns","line":154,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.patterns","doc":"Alternative patterns.\n"},"Lean.Meta.Match.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Alt.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.mk","doc":""},"Lean.Meta.Match.Alt.isLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L191-L192","name":"Lean.Meta.Match.Alt.isLocalDecl","line":191,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.isLocalDecl","doc":"Return `true` if `fvarId` is one of the alternative pattern variables "},"Lean.Meta.Match.Alt.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L142-L142","name":"Lean.Meta.Match.Alt.idx","line":142,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.idx","doc":"Orginal alternative index. Alternatives can be split, this index is the original\nposition of the alternative that generated this one.\n"},"Lean.Meta.Match.Alt.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L150-L150","name":"Lean.Meta.Match.Alt.fvarDecls","line":150,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.fvarDecls","doc":"Alternative pattern variables.\n"},"Lean.Meta.Match.Alt.cnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L161-L161","name":"Lean.Meta.Match.Alt.cnstrs","line":161,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.cnstrs","doc":"Pending constraints `lhs ≋ rhs` that need to be solved before the alternative\nis considered acceptable. We generate them when processing inaccessible patterns.\nNote that `lhs` and `rhs` often have different types.\nAfter we perform additional case analysis, their types become definitionally equal.\n"},"Lean.Meta.Match.Alt.checkAndReplaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L236-L245","name":"Lean.Meta.Match.Alt.checkAndReplaceFVarId","line":236,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.checkAndReplaceFVarId","doc":"Similar to `checkAndReplaceFVarId`, but ensures type of `v` is definitionally equal to type of `fvarId`.\n This extra check is necessary when performing dependent elimination and inaccessible terms have been used.\n For example, consider the following code fragment:\n\n```\ninductive Vec (α : Type u) : Nat → Type u where\n | nil : Vec α 0\n | cons {n} (head : α) (tail : Vec α n) : Vec α (n+1)\n\ninductive VecPred {α : Type u} (P : α → Prop) : {n : Nat} → Vec α n → Prop where\n | nil : VecPred P Vec.nil\n | cons {n : Nat} {head : α} {tail : Vec α n} : P head → VecPred P tail → VecPred P (Vec.cons head tail)\n\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head _, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nRecall that `_` in a pattern can be elaborated into pattern variable or an inaccessible term.\nThe elaborator uses an inaccessible term when typing constraints restrict its value.\nThus, in the example above, the `_` at `Vec.cons head _` becomes the inaccessible pattern `.(Vec.nil)`\nbecause the type ascription `(w : VecPred P Vec.nil)` propagates typing constraints that restrict its value to be `Vec.nil`.\nAfter elaboration the alternative becomes:\n```\n | .(0), @Vec.cons .(α) .(0) head .(Vec.nil), @VecPred.cons .(α) .(P) .(0) .(head) .(Vec.nil) h w => ⟨head, h⟩\n```\nwhere\n```\n(head : α), (h: P head), (w : VecPred P Vec.nil)\n```\nThen, when we process this alternative in this module, the following check will detect that\n`w` has type `VecPred P Vec.nil`, when it is supposed to have type `VecPred P tail`.\nNote that if we had written\n```\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head Vec.nil, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nwe would get the easier to digest error message\n```\nmissing cases:\n_, (Vec.cons _ _ (Vec.cons _ _ _)), _\n```\n"},"Lean.Meta.Match.Alt.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L174-L179","name":"Lean.Meta.Match.Alt.applyFVarSubst","line":174,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.applyFVarSubst","doc":""},"Lean.Meta.Match.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Match/Basic.lean#L135-L162","name":"Lean.Meta.Match.Alt","line":135,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt","doc":"`Match` alternative "},"Lean.Meta.Linear.solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L248-L265","name":"Lean.Meta.Linear.solve","line":248,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.solve","doc":""},"Lean.Meta.Linear.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Simp.lean#L16-L24","name":"Lean.Meta.Linear.simp?","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Simp.html#Lean.Meta.Linear.simp?","doc":""},"Lean.Meta.Linear.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L219-L246","name":"Lean.Meta.Linear.resolve","line":219,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.resolve","doc":""},"Lean.Meta.Linear.pickAssignment?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L207-L217","name":"Lean.Meta.Linear.pickAssignment?","line":207,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.pickAssignment?","doc":""},"Lean.Meta.Linear.isLinearTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/LinearArith/Basic.lean#L11-L17","name":"Lean.Meta.Linear.isLinearTerm","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Basic.html#Lean.Meta.Linear.isLinearTerm","doc":"Quick filter for linear terms. 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In order to change the type and the pattern to be type correct, we don't\nsimply recursively change all occurrences, but rather, we recursively change occurences of the constructor.\nAs such there are only a few cases:\n- the pattern is a constructor from the original type. Here we need to:\n - replace the constructor\n - copy original recursive patterns and convert them to below and reintroduce them in the correct position\n - turn original recursive patterns inaccessible\n - introduce free variables as needed.\n- it is an `as` pattern. Here the contstructor could be hidden inside of it.\n- it is a variable. 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,"Lean.Meta.DiscrTree.insertCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L437-L447","name":"Lean.Meta.DiscrTree.insertCore","line":437,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.insertCore","doc":""},"Lean.Meta.DiscrTree.insert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L449-L451","name":"Lean.Meta.DiscrTree.insert","line":449,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.insert","doc":""},"Lean.Meta.DiscrTree.hasNoindexAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L247-L248","name":"Lean.Meta.DiscrTree.hasNoindexAnnotation","line":247,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.hasNoindexAnnotation","doc":""},"Lean.Meta.DiscrTree.getUnify.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L647-L677","name":"Lean.Meta.DiscrTree.getUnify.process","line":647,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getUnify.process","doc":""},"Lean.Meta.DiscrTree.getUnify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L636-L677","name":"Lean.Meta.DiscrTree.getUnify","line":636,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getUnify","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L617-L627","name":"Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix","line":617,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra.mayMatchPrefix","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L629-L634","name":"Lean.Meta.DiscrTree.getMatchWithExtra.go","line":629,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra.go","doc":""},"Lean.Meta.DiscrTree.getMatchWithExtra":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L607-L634","name":"Lean.Meta.DiscrTree.getMatchWithExtra","line":607,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatchWithExtra","doc":"Similar to `getMatch`, but returns solutions that are prefixes of `e`.\nWe store the number of ignored arguments in the result."},"Lean.Meta.DiscrTree.getMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L601-L602","name":"Lean.Meta.DiscrTree.getMatch","line":601,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.getMatch","doc":"Find values that match `e` in `d`.\n"},"Lean.Meta.DiscrTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L100-L105","name":"Lean.Meta.DiscrTree.format","line":100,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.format","doc":""},"Lean.Meta.DiscrTree.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L91-L91","name":"Lean.Meta.DiscrTree.empty","line":91,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.empty","doc":""},"Lean.Meta.DiscrTree.Trie.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L41-L41","name":"Lean.Meta.DiscrTree.Trie.node","line":41,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie.node","doc":""},"Lean.Meta.DiscrTree.Trie.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L93-L96","name":"Lean.Meta.DiscrTree.Trie.format","line":93,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Trie.format","doc":""},"Lean.Meta.DiscrTree.Trie":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L40-L41","name":"Lean.Meta.DiscrTree.Trie","line":40,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie","doc":"Discrimination tree trie. See `DiscrTree`.\n"},"Lean.Meta.DiscrTree.Key.star":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L20-L20","name":"Lean.Meta.DiscrTree.Key.star","line":20,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.star","doc":""},"Lean.Meta.DiscrTree.Key.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L23-L23","name":"Lean.Meta.DiscrTree.Key.proj","line":23,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.proj","doc":""},"Lean.Meta.DiscrTree.Key.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L21-L21","name":"Lean.Meta.DiscrTree.Key.other","line":21,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.other","doc":""},"Lean.Meta.DiscrTree.Key.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L60-L65","name":"Lean.Meta.DiscrTree.Key.lt","line":60,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.lt","doc":""},"Lean.Meta.DiscrTree.Key.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L19-L19","name":"Lean.Meta.DiscrTree.Key.lit","line":19,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.lit","doc":""},"Lean.Meta.DiscrTree.Key.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L26-L33","name":"Lean.Meta.DiscrTree.Key.hash","line":26,"kind":"def","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.hash","doc":""},"Lean.Meta.DiscrTree.Key.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L18-L18","name":"Lean.Meta.DiscrTree.Key.fvar","line":18,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.fvar","doc":""},"Lean.Meta.DiscrTree.Key.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L70-L78","name":"Lean.Meta.DiscrTree.Key.format","line":70,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.format","doc":""},"Lean.Meta.DiscrTree.Key.ctorIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L51-L58","name":"Lean.Meta.DiscrTree.Key.ctorIdx","line":51,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.ctorIdx","doc":""},"Lean.Meta.DiscrTree.Key.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L17-L17","name":"Lean.Meta.DiscrTree.Key.const","line":17,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.const","doc":""},"Lean.Meta.DiscrTree.Key.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L22-L22","name":"Lean.Meta.DiscrTree.Key.arrow","line":22,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.arrow","doc":""},"Lean.Meta.DiscrTree.Key.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTree.lean#L82-L87","name":"Lean.Meta.DiscrTree.Key.arity","line":82,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.arity","doc":""},"Lean.Meta.DiscrTree.Key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L16-L24","name":"Lean.Meta.DiscrTree.Key","line":16,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key","doc":"Discrimination tree key. See `DiscrTree`\n"},"Lean.Meta.DiscrTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DiscrTreeTypes.lean#L83-L84","name":"Lean.Meta.DiscrTree","line":83,"kind":"structure","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree","doc":"Discrimination trees. It is an index from terms to values of type `α`.\n\nIf `simpleReduce := true`, then only simple reduction are performed while\nindexing/retrieving terms. For example, `iota` reduction is not performed.\n\nWe use `simpleReduce := false` in the type class resolution module,\nand `simpleReduce := true` in `simp`.\n\nMotivations:\n- In `simp`, we want to have `simp` theorem such as\n```\n@[simp] theorem liftOn_mk (a : α) (f : α → γ) (h : ∀ a₁ a₂, r a₁ a₂ → f a₁ = f a₂) :\n Quot.liftOn (Quot.mk r a) f h = f a := rfl\n```\nIf we enable `iota`, then the lhs is reduced to `f a`.\n\n- During type class resolution, we often want to reduce types using even `iota`.\nExample:\n```\ninductive Ty where\n | int\n | bool\n\n@[reducible] def Ty.interp (ty : Ty) : Type :=\n Ty.casesOn (motive := fun _ => Type) ty Int Bool\n\ndef test {a b c : Ty} (f : a.interp → b.interp → c.interp) (x : a.interp) (y : b.interp) : c.interp :=\n f x y\n\ndef f (a b : Ty.bool.interp) : Ty.bool.interp :=\n -- We want to synthesize `BEq Ty.bool.interp` here, and it will fail\n -- if we do not reduce `Ty.bool.interp` to `Bool`.\n test (.==.) a b\n```\n"},"Lean.Meta.DefaultInstances.priorities":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L238-L238","name":"Lean.Meta.DefaultInstances.priorities","line":238,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.priorities","doc":""},"Lean.Meta.DefaultInstances.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstances.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.mk","doc":""},"Lean.Meta.DefaultInstances.defaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L237-L237","name":"Lean.Meta.DefaultInstances.defaultInstances","line":237,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.defaultInstances","doc":""},"Lean.Meta.DefaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L236-L239","name":"Lean.Meta.DefaultInstances","line":236,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances","doc":""},"Lean.Meta.DefaultInstanceEntry.priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L232-L232","name":"Lean.Meta.DefaultInstanceEntry.priority","line":232,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.priority","doc":""},"Lean.Meta.DefaultInstanceEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstanceEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.mk","doc":""},"Lean.Meta.DefaultInstanceEntry.instanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L231-L231","name":"Lean.Meta.DefaultInstanceEntry.instanceName","line":231,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.instanceName","doc":""},"Lean.Meta.DefaultInstanceEntry.className":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L230-L230","name":"Lean.Meta.DefaultInstanceEntry.className","line":230,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.className","doc":""},"Lean.Meta.DefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Instances.lean#L229-L232","name":"Lean.Meta.DefaultInstanceEntry","line":229,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry","doc":""},"Lean.Meta.DefEqContext.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L228-L228","name":"Lean.Meta.DefEqContext.rhs","line":228,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.rhs","doc":""},"Lean.Meta.DefEqContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.DefEqContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.mk","doc":""},"Lean.Meta.DefEqContext.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L230-L230","name":"Lean.Meta.DefEqContext.localInstances","line":230,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.localInstances","doc":""},"Lean.Meta.DefEqContext.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L227-L227","name":"Lean.Meta.DefEqContext.lhs","line":227,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lhs","doc":""},"Lean.Meta.DefEqContext.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L229-L229","name":"Lean.Meta.DefEqContext.lctx","line":229,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lctx","doc":""},"Lean.Meta.DefEqContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L226-L230","name":"Lean.Meta.DefEqContext","line":226,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext","doc":"\"Context\" for a postponed universe constraint.\n`lhs` and `rhs` are the surrounding `isDefEq` call when the postponed constraint was created.\n"},"Lean.Meta.DefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L208-L208","name":"Lean.Meta.DefEqCache","line":208,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqCache","doc":"A mapping `(s, t) ↦ isDefEq s t`.\nTODO: consider more efficient representations (e.g., a proper set) and caching policies (e.g., imperfect cache).\nWe should also investigate the impact on memory consumption. "},"Lean.Meta.DefEqArgsFirstPassResult.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L182-L208","name":"Lean.Meta.DefEqArgsFirstPassResult.ok","line":182,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.ok","doc":"Succeeded. The array `postponedImplicit` contains the position\nof the implicit arguments for which def-eq has been postponed.\n`postponedHO` contains the higher order output parameters, and parameters\nthat depend on them. They should be processed after the implict ones.\n`postponedHO` is used to handle applications involving functions that\ncontain higher order output parameters. Example:\n```lean\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → (h : dom xs i) → elem\n```\nThe argumengs `dom` and `h` must be processed after all implicit arguments\notherwise higher-order unification problems are generated. See issue #1299,\nwhen trying to solve\n```\ngetElem ?a ?i ?h =?= getElem a i (Fin.val_lt_of_le i ...)\n```\nwe have to solve the constraint\n```\n?dom a i.val =?= LT.lt i.val (Array.size a)\n```\nby solving after the instance has been synthesized, we reduce this constraint to\na simple check.\n"},"Lean.Meta.DefEqArgsFirstPassResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L176-L181","name":"Lean.Meta.DefEqArgsFirstPassResult.failed","line":176,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.failed","doc":"Failed to establish that explicit arguments are def-eq.\nRemark: higher output parameters, and parameters that depend on them\nare postponed.\n"},"Lean.Meta.DefEqArgsFirstPassResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ExprDefEq.lean#L175-L208","name":"Lean.Meta.DefEqArgsFirstPassResult","line":175,"kind":"inductive","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult","doc":"Result type for `isDefEqArgsFirstPass`.\n"},"Lean.Meta.DecLevelContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L1-L1","name":"Lean.Meta.DecLevelContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.mk","doc":""},"Lean.Meta.DecLevelContext.canAssignMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L16-L16","name":"Lean.Meta.DecLevelContext.canAssignMVars","line":16,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.canAssignMVars","doc":"If `true`, then `decAux? ?m` returns a fresh metavariable `?n` s.t.\n`?m := ?n+1`.\n"},"Lean.Meta.DecLevelContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/DecLevel.lean#L11-L16","name":"Lean.Meta.DecLevelContext","line":11,"kind":"structure","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext","doc":""},"Lean.Meta.DSimp.instReprConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instReprConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instReprConfig","doc":""},"Lean.Meta.DSimp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instInhabitedConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instInhabitedConfig","doc":""},"Lean.Meta.DSimp.instBEqConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instBEqConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instBEqConfig","doc":""},"Lean.Meta.DSimp.Config.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1222-L1222","name":"Lean.Meta.DSimp.Config.zeta","line":1222,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.zeta","doc":""},"Lean.Meta.DSimp.Config.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1227-L1227","name":"Lean.Meta.DSimp.Config.proj","line":1227,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.proj","doc":""},"Lean.Meta.DSimp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1-L1","name":"Lean.Meta.DSimp.Config.mk","line":1,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.mk","doc":""},"Lean.Meta.DSimp.Config.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1226-L1226","name":"Lean.Meta.DSimp.Config.iota","line":1226,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.iota","doc":""},"Lean.Meta.DSimp.Config.failIfUnchanged":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1232-L1232","name":"Lean.Meta.DSimp.Config.failIfUnchanged","line":1232,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.failIfUnchanged","doc":"If `failIfUnchanged := true`, then calls to `simp`, `dsimp`, or `simp_all`\nwill fail if they do not make progress. "},"Lean.Meta.DSimp.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1225-L1225","name":"Lean.Meta.DSimp.Config.etaStruct","line":1225,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.etaStruct","doc":""},"Lean.Meta.DSimp.Config.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1224-L1224","name":"Lean.Meta.DSimp.Config.eta","line":1224,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.eta","doc":""},"Lean.Meta.DSimp.Config.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1228-L1228","name":"Lean.Meta.DSimp.Config.decide","line":1228,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.decide","doc":""},"Lean.Meta.DSimp.Config.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1223-L1223","name":"Lean.Meta.DSimp.Config.beta","line":1223,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.beta","doc":""},"Lean.Meta.DSimp.Config.autoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1229-L1229","name":"Lean.Meta.DSimp.Config.autoUnfold","line":1229,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.autoUnfold","doc":""},"Lean.Meta.DSimp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1221-L1233","name":"Lean.Meta.DSimp.Config","line":1221,"kind":"structure","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config","doc":""},"Lean.Meta.CustomEliminators.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminators.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.mk","doc":""},"Lean.Meta.CustomEliminators.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L101-L101","name":"Lean.Meta.CustomEliminators.map","line":101,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.map","doc":""},"Lean.Meta.CustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L100-L102","name":"Lean.Meta.CustomEliminators","line":100,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators","doc":""},"Lean.Meta.CustomEliminator.typeNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L96-L96","name":"Lean.Meta.CustomEliminator.typeNames","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.typeNames","doc":""},"Lean.Meta.CustomEliminator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminator.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.mk","doc":""},"Lean.Meta.CustomEliminator.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L97-L97","name":"Lean.Meta.CustomEliminator.elimInfo","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.elimInfo","doc":""},"Lean.Meta.CustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/ElimInfo.lean#L95-L98","name":"Lean.Meta.CustomEliminator","line":95,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator","doc":""},"Lean.Meta.Contradiction.Config.useDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L14-L14","name":"Lean.Meta.Contradiction.Config.useDecide","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.useDecide","doc":""},"Lean.Meta.Contradiction.Config.searchFuel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L18-L18","name":"Lean.Meta.Contradiction.Config.searchFuel","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.searchFuel","doc":"When checking for empty types, `searchFuel` specifies the number of goals visited. "},"Lean.Meta.Contradiction.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L1-L1","name":"Lean.Meta.Contradiction.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.mk","doc":""},"Lean.Meta.Contradiction.Config.genDiseq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L24-L24","name":"Lean.Meta.Contradiction.Config.genDiseq","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.genDiseq","doc":"Support for hypotheses such as\n```\nh : (x y : Nat) (ys : List Nat) → x = 0 → y::ys = [a, b, c] → False\n```\nThis kind of hypotheses appear when proving conditional equation theorems for match expressions. "},"Lean.Meta.Contradiction.Config.emptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L16-L16","name":"Lean.Meta.Contradiction.Config.emptyType","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.emptyType","doc":"Check whether any of the hypotheses is an empty type. "},"Lean.Meta.Contradiction.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L13-L24","name":"Lean.Meta.Contradiction.Config","line":13,"kind":"structure","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config","doc":""},"Lean.Meta.Context.synthPendingDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L283-L283","name":"Lean.Meta.Context.synthPendingDepth","line":283,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.synthPendingDepth","doc":"Track the number of nested `synthPending` invocations. Nested invocations can happen\nwhen the type class resolution invokes `synthPending`.\n\nRemark: in the current implementation, `synthPending` fails if `synthPendingDepth > 0`.\nWe will add a configuration option if necessary. "},"Lean.Meta.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.mk","doc":""},"Lean.Meta.Context.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L274-L274","name":"Lean.Meta.Context.localInstances","line":274,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.localInstances","doc":"Local instances in `lctx`. "},"Lean.Meta.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L272-L272","name":"Lean.Meta.Context.lctx","line":272,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.lctx","doc":"Local context "},"Lean.Meta.Context.defEqCtx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L276-L276","name":"Lean.Meta.Context.defEqCtx?","line":276,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.defEqCtx?","doc":"Not `none` when inside of an `isDefEq` test. See `PostponedEntry`. "},"Lean.Meta.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L270-L270","name":"Lean.Meta.Context.config","line":270,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.config","doc":""},"Lean.Meta.Context.canUnfold?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L287-L287","name":"Lean.Meta.Context.canUnfold?","line":287,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.canUnfold?","doc":"A predicate to control whether a constant can be unfolded or not at `whnf`.\nNote that we do not cache results at `whnf` when `canUnfold?` is not `none`. "},"Lean.Meta.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L269-L287","name":"Lean.Meta.Context","line":269,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context","doc":"Contextual information for the `MetaM` monad.\n"},"Lean.Meta.CongrTheorem.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L37-L37","name":"Lean.Meta.CongrTheorem.type","line":37,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.type","doc":""},"Lean.Meta.CongrTheorem.proof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L38-L38","name":"Lean.Meta.CongrTheorem.proof","line":38,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.proof","doc":""},"Lean.Meta.CongrTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L1-L1","name":"Lean.Meta.CongrTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.mk","doc":""},"Lean.Meta.CongrTheorem.argKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L39-L39","name":"Lean.Meta.CongrTheorem.argKinds","line":39,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.argKinds","doc":""},"Lean.Meta.CongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L36-L39","name":"Lean.Meta.CongrTheorem","line":36,"kind":"structure","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem","doc":""},"Lean.Meta.CongrArgKind.subsingletonInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L30-L33","name":"Lean.Meta.CongrArgKind.subsingletonInst","line":30,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.subsingletonInst","doc":"For congr-simp theorems only. Indicates a decidable instance argument.\nThe lemma contains two arguments [a_i : Decidable ...] [b_i : Decidable ...] "},"Lean.Meta.CongrArgKind.heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L26-L29","name":"Lean.Meta.CongrArgKind.heq","line":26,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.heq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : HEq a_i b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their heterogeneous equality. "},"Lean.Meta.CongrArgKind.fixedNoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L14-L17","name":"Lean.Meta.CongrArgKind.fixedNoParam","line":14,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixedNoParam","doc":"It is not a parameter for the congruence theorem, the theorem was specialized for this parameter.\nThis only happens if the parameter is a subsingleton/proposition, and other parameters depend on it. "},"Lean.Meta.CongrArgKind.fixed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L12-L13","name":"Lean.Meta.CongrArgKind.fixed","line":12,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixed","doc":"It is a parameter for the congruence theorem, the parameter occurs in the left and right hand sides. "},"Lean.Meta.CongrArgKind.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L18-L21","name":"Lean.Meta.CongrArgKind.eq","line":18,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.eq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : a_i = b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their equality. "},"Lean.Meta.CongrArgKind.cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L22-L25","name":"Lean.Meta.CongrArgKind.cast","line":22,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.cast","doc":"The congr-simp theorems contains only one parameter for this kind of argument, and congr theorems contains two.\nThey correspond to arguments that are subsingletons/propositions. "},"Lean.Meta.CongrArgKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CongrTheorems.lean#L11-L34","name":"Lean.Meta.CongrArgKind","line":11,"kind":"inductive","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind","doc":""},"Lean.Meta.Config.zetaNonDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L86-L86","name":"Lean.Meta.Config.zetaNonDep","line":86,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.zetaNonDep","doc":"If zetaNonDep == false, then non dependent let-decls are not zeta expanded. "},"Lean.Meta.Config.unificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L90-L90","name":"Lean.Meta.Config.unificationHints","line":90,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.unificationHints","doc":"Enable/disable the unification hints feature. "},"Lean.Meta.Config.transparency":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L84-L84","name":"Lean.Meta.Config.transparency","line":84,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.transparency","doc":"Controls which definitions and theorems can be unfolded by `isDefEq` and `whnf`.\n"},"Lean.Meta.Config.trackZeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L88-L88","name":"Lean.Meta.Config.trackZeta","line":88,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.trackZeta","doc":"When `trackZeta == true`, we store zetaFVarIds all free variables that have been zeta-expanded. "},"Lean.Meta.Config.quasiPatternApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L66-L66","name":"Lean.Meta.Config.quasiPatternApprox","line":66,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.quasiPatternApprox","doc":"When `quasiPatternApprox` is set to true, we ignore condition 2.\n"},"Lean.Meta.Config.proofIrrelevance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L92-L92","name":"Lean.Meta.Config.proofIrrelevance","line":92,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.proofIrrelevance","doc":"Enables proof irrelevance at `isDefEq` "},"Lean.Meta.Config.offsetCnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L101-L101","name":"Lean.Meta.Config.offsetCnstrs","line":101,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.offsetCnstrs","doc":"Enable/Disable support for offset constraints such as `?x + 1 =?= e` "},"Lean.Meta.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.mk","doc":""},"Lean.Meta.Config.isDefEqStuckEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L80-L80","name":"Lean.Meta.Config.isDefEqStuckEx","line":80,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.isDefEqStuckEx","doc":"When the following flag is set,\n`isDefEq` throws the exeption `Exeption.isDefEqStuck`\nwhenever it encounters a constraint `?m ... =?= t` where\n`?m` is read only.\nThis feature is useful for type class resolution where\nwe may want to notify the caller that the TC problem may be solveable\nlater after it assigns `?m`. "},"Lean.Meta.Config.foApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L57-L57","name":"Lean.Meta.Config.foApprox","line":57,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.foApprox","doc":"If `foApprox` is set to true, and some `aᵢ` is not a free variable,\nthen we use first-order unification\n```\n ?m a_1 ... a_i a_{i+1} ... a_{i+k} =?= f b_1 ... b_k\n```\nreduces to\n```\n ?m a_1 ... a_i =?= f\n a_{i+1} =?= b_1\n ...\n a_{i+k} =?= b_k\n```\n"},"Lean.Meta.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L103-L103","name":"Lean.Meta.Config.etaStruct","line":103,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.etaStruct","doc":"Eta for structures configuration mode. "},"Lean.Meta.Config.ctxApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L62-L62","name":"Lean.Meta.Config.ctxApprox","line":62,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.ctxApprox","doc":"When `ctxApprox` is set to true, we relax condition 4, by creating an\nauxiliary metavariable `?n'` with a smaller context than `?m'`.\n"},"Lean.Meta.Config.constApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L71-L71","name":"Lean.Meta.Config.constApprox","line":71,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.constApprox","doc":"When `constApprox` is set to true,\nwe solve `?m t =?= c` using\n`?m := fun _ => c`\nwhen `?m t` is not a higher-order pattern and `c` is not an application as "},"Lean.Meta.Config.assignSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L99-L99","name":"Lean.Meta.Config.assignSyntheticOpaque","line":99,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.assignSyntheticOpaque","doc":"By default synthetic opaque metavariables are not assigned by `isDefEq`. Motivation: we want to make\nsure typing constraints resolved during elaboration should not \"fill\" holes that are supposed to be filled using tactics.\nHowever, this restriction is too restrictive for tactics such as `exact t`. When elaborating `t`, we dot not fill\nnamed holes when solving typing constraints or TC resolution. But, we ignore the restriction when we try to unify\nthe type of `t` with the goal target type. We claim this is not a hack and is defensible behavior because\nthis last unification step is not really part of the term elaboration. 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"},"Lean.Macro.expandMacro?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4471-L4472","name":"Lean.Macro.expandMacro?","line":4471,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.expandMacro?","doc":"`expandMacro? stx` returns `some stxNew` if `stx` is a macro,\nand `stxNew` is its expansion.\n"},"Lean.Macro.addMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L4392-L4394","name":"Lean.Macro.addMacroScope","line":4392,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.addMacroScope","doc":"Add a new macro scope to the name `n`. 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"},"Lean.MVarId.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L55-L56","name":"Lean.MVarId.tryClearMany","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClearMany","doc":"Try to erase the given free variables from the goal `mvarId`.\n"},"Lean.MVarId.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L45-L46","name":"Lean.MVarId.tryClear","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClear","doc":"Try to erase the given free variable from the goal `mvarId`. It is no-op if the free variable\ncannot be erased due to forward dependencies.\n"},"Lean.MVarId.substEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L293-L297","name":"Lean.MVarId.substEqs","line":293,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.substEqs","doc":"Applies `cases` to any hypothesis of the form `h : r = s`.\n"},"Lean.MVarId.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L217-L218","name":"Lean.MVarId.splitAnd","line":217,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.splitAnd","doc":"Apply `And.intro` as much as possible to goal `mvarId`.\n"},"Lean.MVarId.setUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L619-L620","name":"Lean.MVarId.setUserName","line":619,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setUserName","doc":"Set the user-facing name for the given metavariable.\n"},"Lean.MVarId.setType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L560-L561","name":"Lean.MVarId.setType","line":560,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setType","doc":"Update the type of the given metavariable. This function assumes the new type is\ndefinitionally equal to the current one "},"Lean.MVarId.setTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L21-L22","name":"Lean.MVarId.setTag","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.setTag","doc":""},"Lean.MVarId.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L551-L552","name":"Lean.MVarId.setKind","line":551,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setKind","doc":"Set `mvarId` kind in the current metavariable context.\n"},"Lean.MVarId.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rewrite.lean#L22-L68","name":"Lean.MVarId.rewrite","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Rewrite.html#Lean.MVarId.rewrite","doc":"Rewrite goal `mvarId`\n"},"Lean.MVarId.revertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Revert.lean#L49-L53","name":"Lean.MVarId.revertAfter","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revertAfter","doc":"Reverts all local declarations after `fvarId`. "},"Lean.MVarId.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Revert.lean#L13-L46","name":"Lean.MVarId.revert","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revert","doc":"Revert free variables `fvarIds` at goal `mvarId`.\n"},"Lean.MVarId.replaceTargetEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L20-L31","name":"Lean.MVarId.replaceTargetEq","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew` using an equality proof `eqProof : target = targetNew`.\nIt assumes `eqProof` has type `target = targetNew` "},"Lean.MVarId.replaceTargetDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L44-L55","name":"Lean.MVarId.replaceTargetDefEq","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetDefEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew`. It assumes the goals are definitionally equal.\nWe use the proof term\n```\n@id target mvarNew\n```\nto create a checkpoint. "},"Lean.MVarId.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L100-L109","name":"Lean.MVarId.replaceLocalDeclDefEq","line":100,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDeclDefEq","doc":"Replace the type of `fvarId` at `mvarId` with `typeNew`.\nRemark: this method assumes that `typeNew` is definitionally equal to the current type of `fvarId`.\n"},"Lean.MVarId.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L89-L90","name":"Lean.MVarId.replaceLocalDecl","line":89,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDecl","doc":"Replace type of the local declaration with id `fvarId` with one with the same user-facing name, but with type `typeNew`.\nThis method assumes `eqProof` is a proof that type of `fvarId` is equal to `typeNew`.\nThis tactic actually adds a new declaration and (try to) clear the old one.\nIf the old one cannot be cleared, then at least its user-facing name becomes inaccessible.\nRemark: the new declaration is added immediately after `fvarId`.\n`typeNew` must be well-formed at `fvarId`, but `eqProof` may contain variables declared after `fvarId`. "},"Lean.MVarId.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Rename.lean#L13-L18","name":"Lean.MVarId.rename","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.MVarId.rename","doc":"Rename the user-face naming for the free variable `fvarId` at `mvarId`.\n"},"Lean.MVarId.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L21-L37","name":"Lean.MVarId.refl","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.refl","doc":"Close given goal using `Eq.refl`.\n"},"Lean.MVarId.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L262-L262","name":"Lean.MVarId.name","line":262,"kind":"def","docLink":"./Lean/Expr.html#Lean.MVarId.name","doc":""},"Lean.MVarId.modifyTargetEqLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L175-L180","name":"Lean.MVarId.modifyTargetEqLHS","line":175,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTargetEqLHS","doc":"Modify `mvarId` target type left-hand-side using `f`.\nThrow an error if target type is not an equality.\n"},"Lean.MVarId.modifyTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L162-L165","name":"Lean.MVarId.modifyTarget","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTarget","doc":"Modify `mvarId` target type using `f`.\n"},"Lean.MVarId.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1-L1","name":"Lean.MVarId.mk","line":1,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.MVarId.mk","doc":""},"Lean.MVarId.isReadOnlyOrSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L583-L587","name":"Lean.MVarId.isReadOnlyOrSyntheticOpaque","line":583,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnlyOrSyntheticOpaque","doc":"Return true if `mvarId.isReadOnly` return true or if `mvarId` is a synthetic opaque metavariable.\n\nRecall `isDefEq` will not assign a value to `mvarId` if `mvarId.isReadOnlyOrSyntheticOpaque`.\n"},"Lean.MVarId.isReadOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L571-L572","name":"Lean.MVarId.isReadOnly","line":571,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnly","doc":"Return true if the given metavariable is \"read-only\".\nThat is, its `depth` is different from the current metavariable context depth.\n"},"Lean.MVarId.isDelayedAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L382-L383","name":"Lean.MVarId.isDelayedAssigned","line":382,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isDelayedAssigned","doc":""},"Lean.MVarId.isAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L375-L376","name":"Lean.MVarId.isAssigned","line":375,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssigned","doc":"Return `true` if the give metavariable is already assigned. "},"Lean.MVarId.isAssignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L400-L403","name":"Lean.MVarId.isAssignable","line":400,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssignable","doc":""},"Lean.MVarId.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L181-L188","name":"Lean.MVarId.intros","line":181,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intros","doc":"Introduce as many binders as possible without unfolding definitions.\n"},"Lean.MVarId.introNP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L128-L129","name":"Lean.MVarId.introNP","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introNP","doc":"Introduce `n` binders in the goal `mvarId`. The new hypotheses are named using the binder names.\nThe suffix `P` stands for \"preserving`.\n"},"Lean.MVarId.introN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L117-L118","name":"Lean.MVarId.introN","line":117,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introN","doc":"Introduce `n` binders in the goal `mvarId`.\n"},"Lean.MVarId.intro1P":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L165-L166","name":"Lean.MVarId.intro1P","line":165,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1P","doc":"Introduce one object from the goal `mvarid`, preserving the name used in the binder.\nReturns a pair made of the newly introduced variable and the new goal.\nThis will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L154-L155","name":"Lean.MVarId.intro1","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1","doc":"Introduce one object from the goal `mvarid`, without preserving the name used in the binder.\nReturns a pair made of the newly introduced variable (which will have an inaccessible name)\nand the new goal. This will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Intro.lean#L138-L140","name":"Lean.MVarId.intro","line":138,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro","doc":"Introduce one binder using `name` as the the new hypothesis name.\n"},"Lean.MVarId.inferInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L157-L161","name":"Lean.MVarId.inferInstance","line":157,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.inferInstance","doc":""},"Lean.MVarId.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Induction.lean#L125-L207","name":"Lean.MVarId.induction","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Induction.html#Lean.MVarId.induction","doc":""},"Lean.MVarId.hrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L66-L69","name":"Lean.MVarId.hrefl","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.hrefl","doc":"Close given goal using `HEq.refl`.\n"},"Lean.MVarId.heqOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L50-L53","name":"Lean.MVarId.heqOfEq","line":50,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.heqOfEq","doc":"Try to apply `heq_of_eq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.headBetaType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L88-L89","name":"Lean.MVarId.headBetaType","line":88,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.headBetaType","doc":"Beta reduce the metavariable type head "},"Lean.MVarId.hcongr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L55-L65","name":"Lean.MVarId.hcongr?","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.hcongr?","doc":"Try to apply a `hcongr` congruence theorem, and then tries to close resulting goals\nusing `Eq.refl`, `HEq.refl`, and assumption.\n"},"Lean.MVarId.getType'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L66-L67","name":"Lean.MVarId.getType'","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType'","doc":"Get the type the given metavariable after instantiating metavariables and reducing to\nweak head normal form. "},"Lean.MVarId.getType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L57-L58","name":"Lean.MVarId.getType","line":57,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType","doc":"Get the type the given metavariable. "},"Lean.MVarId.getTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L14-L15","name":"Lean.MVarId.getTag","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getTag","doc":"Get the user name of the given metavariable. "},"Lean.MVarId.getNondepPropHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L96-L121","name":"Lean.MVarId.getNondepPropHyps","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getNondepPropHyps","doc":"Collect nondependent hypotheses that are propositions. "},"Lean.MVarId.getKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L534-L535","name":"Lean.MVarId.getKind","line":534,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getKind","doc":"Return `mvarId` kind. Throw an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.getDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L522-L525","name":"Lean.MVarId.getDecl","line":522,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getDecl","doc":"Return `mvarId` declaration in the current metavariable context.\nThrow an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.generalizeHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L86-L103","name":"Lean.MVarId.generalizeHyp","line":86,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalizeHyp","doc":"Extension of `generalize` to support generalizing within specified hypotheses.\nThe `hyps` array contains the list of hypotheses within which to look for occurrences\nof the generalizing expressions.\n"},"Lean.MVarId.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Generalize.lean#L74-L75","name":"Lean.MVarId.generalize","line":74,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.MVarId.findDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L511-L512","name":"Lean.MVarId.findDecl?","line":511,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.findDecl?","doc":"Return `some mvarDecl` where `mvarDecl` is `mvarId` declaration in the current metavariable context.\nReturn `none` if `mvarId` has no declaration in the current metavariable context.\n"},"Lean.MVarId.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L34-L50","name":"Lean.MVarId.existsIntro","line":34,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.existsIntro","doc":""},"Lean.MVarId.exfalso":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L224-L231","name":"Lean.MVarId.exfalso","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.exfalso","doc":""},"Lean.MVarId.eqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L58-L61","name":"Lean.MVarId.eqOfHEq","line":58,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.eqOfHEq","doc":"Try to apply `eq_of_heq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L29-L32","name":"Lean.MVarId.deltaTarget","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaTarget","doc":"Delta expand declarations that satisfy `p` at `mvarId` type.\n"},"Lean.MVarId.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Delta.lean#L41-L44","name":"Lean.MVarId.deltaLocalDecl","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaLocalDecl","doc":"Delta expand declarations that satisfy `p` at `fvarId` type.\n"},"Lean.MVarId.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L32-L40","name":"Lean.MVarId.define","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.define","doc":"Convert the given goal `Ctx |- target` into `Ctx |- let name : type := val; target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.contradictionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L152-L211","name":"Lean.MVarId.contradictionCore","line":152,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradictionCore","doc":"Return `true` if goal `mvarId` has contradictory hypotheses.\nSee `MVarId.contradiction` for the list of tests performed by this method.\n"},"Lean.MVarId.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Contradiction.lean#L224-L226","name":"Lean.MVarId.contradiction","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradiction","doc":"Try to close the goal using \"contradictions\" such as\n- Contradictory hypotheses `h₁ : p` and `h₂ : ¬ p`.\n- Contradictory disequality `h : x ≠ x`.\n- Contradictory equality between different constructors, e.g., `h : List.nil = List.cons x xs`.\n- Empty inductive types, e.g., `x : Fin 0`.\n- Decidable propositions that evaluate to false, i.e., a hypothesis `h : p` s.t. `decide p` reduces to `false`.\n This is only tried if `Config.useDecide = true`.\n\nThrow exception if goal failed to be closed.\n"},"Lean.MVarId.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Constructor.lean#L16-L28","name":"Lean.MVarId.constructor","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.constructor","doc":"When the goal `mvarId` type is an inductive datatype,\n`constructor` calls `apply` with the first matching constructor.\n"},"Lean.MVarId.congrPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L21-L26","name":"Lean.MVarId.congrPre","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrPre","doc":"Preprocessor before applying congruence theorem.\nTries to close new goals using `Eq.refl`, `HEq.refl`, and `assumption`.\nIt also tries to apply `heq_of_eq`.\n"},"Lean.MVarId.congrN.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L103-L108","name":"Lean.MVarId.congrN.post","line":103,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.post","doc":""},"Lean.MVarId.congrN.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L110-L117","name":"Lean.MVarId.congrN.go","line":110,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.go","doc":""},"Lean.MVarId.congrN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L99-L117","name":"Lean.MVarId.congrN","line":99,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n\n* Applies `congr` recursively up to depth `depth`.\n* If `closePre := true`, it will attempt to close new goals\n using `Eq.refl`, `HEq.refl`, and `assumption` with reducible transparency.\n* If `closePost := true`, it will try again on goals on which `congr` failed to make progress\n with default transparency.\n"},"Lean.MVarId.congrImplies?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L70-L73","name":"Lean.MVarId.congrImplies?","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrImplies?","doc":"Try to apply `implies_congr`.\n"},"Lean.MVarId.congrCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L79-L87","name":"Lean.MVarId.congrCore","line":79,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrCore","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n"},"Lean.MVarId.congr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Congr.lean#L41-L49","name":"Lean.MVarId.congr?","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congr?","doc":"Try to apply a `simp` congruence theorem.\n"},"Lean.MVarId.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Clear.lean#L13-L34","name":"Lean.MVarId.clear","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.clear","doc":"Erase the given free variable from the goal `mvarId`.\n"},"Lean.MVarId.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cleanup.lean#L66-L67","name":"Lean.MVarId.cleanup","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.MVarId.cleanup","doc":"Auxiliary tactic for cleaning the local context. It removes local declarations (aka hypotheses) that are *not* relevant.\nWe say a variable `x` is \"relevant\" if\n- It occurs in the target type, or\n- There is a relevant variable `y` that depends on `x`, or\n- The type of `x` is a proposition and it depends on a relevant variable `y`.\n"},"Lean.MVarId.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L48-L50","name":"Lean.MVarId.checkNotAssigned","line":48,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.checkNotAssigned","doc":"Throw a tactic exception with given tactic name if the given metavariable is assigned. "},"Lean.MVarId.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L136-L153","name":"Lean.MVarId.changeLocalDecl","line":136,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.changeLocalDecl","doc":"Replace the type of the free variable `fvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to `fvarId` type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to `fvarId` type.\n"},"Lean.MVarId.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Replace.lean#L120-L125","name":"Lean.MVarId.change","line":120,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.change","doc":"Replace the target type of `mvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to the current target type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to the current target type.\n"},"Lean.MVarId.casesRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L271-L281","name":"Lean.MVarId.casesRec","line":271,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesRec","doc":"Keep applying `cases` on any hypothesis that satisfies `p`.\n"},"Lean.MVarId.casesAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L286-L288","name":"Lean.MVarId.casesAnd","line":286,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesAnd","doc":"Applies `cases` (recursively) to any hypothesis of the form `h : p ∧ q`.\n"},"Lean.MVarId.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L261-L262","name":"Lean.MVarId.cases","line":261,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.cases","doc":"Apply `casesOn` using the free variable `majorFVarId` as the major premise (aka discriminant).\n`givenNames` contains user-facing names for each alternative.\n"},"Lean.MVarId.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Cases.lean#L311-L316","name":"Lean.MVarId.byCases","line":311,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.byCases","doc":"Split the goal in two subgoals: one containing the hypothesis `h : p` and another containing `h : ¬ p`.\n"},"Lean.MVarId.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L21-L26","name":"Lean.MVarId.assumptionCore","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumptionCore","doc":"Return `true` if managed to close goal `mvarId` using an assumption. "},"Lean.MVarId.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assumption.lean#L33-L35","name":"Lean.MVarId.assumption","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumption","doc":"Close goal `mvarId` using an assumption. Throw error message if failed. "},"Lean.MVarId.assign":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/MetavarContext.lean#L472-L473","name":"Lean.MVarId.assign","line":472,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.assign","doc":"Add `mvarId := x` to the metavariable assignment.\nThis method does not check whether `mvarId` is already assigned, nor it checks whether\na cycle is being introduced, or whether the expression has the right type.\nThis is a low-level API, and it is safer to use `isDefEq (mkMVar mvarId) x`.\n"},"Lean.MVarId.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L98-L110","name":"Lean.MVarId.assertHypotheses","line":98,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertHypotheses","doc":"Convert the given goal `Ctx |- target` into `Ctx, (hs[0].userName : hs[0].type) ... |-target`.\nIt assumes `hs[i].val` has type `hs[i].type`. "},"Lean.MVarId.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L49-L60","name":"Lean.MVarId.assertExt","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertExt","doc":"Convert the given goal `Ctx |- target` into `Ctx |- (hName : type) -> hName = val -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L75-L84","name":"Lean.MVarId.assertAfter","line":75,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertAfter","doc":"Convert the given goal `Ctx |- target` into a goal containing `(userName : type)` after the local declaration with if `fvarId`.\nIt assumes `val` has type `type`, and that `type` is well-formed after `fvarId`.\nNote that `val` does not need to be well-formed after `fvarId`. That is, it may contain variables that are defined after `fvarId`. "},"Lean.MVarId.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Assert.lean#L15-L23","name":"Lean.MVarId.assert","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assert","doc":"Convert the given goal `Ctx |- target` into `Ctx |- type -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.applyRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Refl.lean#L44-L45","name":"Lean.MVarId.applyRefl","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.applyRefl","doc":""},"Lean.MVarId.apply.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L162-L173","name":"Lean.MVarId.apply.go","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply.go","doc":""},"Lean.MVarId.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Apply.lean#L130-L185","name":"Lean.MVarId.apply","line":130,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply","doc":"Close the given goal using `apply e`.\n"},"Lean.MVarId.admit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Util.lean#L76-L81","name":"Lean.MVarId.admit","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.admit","doc":"Assign `mvarId` to `sorryAx` "},"Lean.MVarId.acyclic.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Acyclic.lean#L33-L51","name":"Lean.MVarId.acyclic.go","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic.go","doc":""},"Lean.MVarId.acyclic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Tactic/Acyclic.lean#L22-L51","name":"Lean.MVarId.acyclic","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic","doc":"Close the given goal if `h` is a proof for an equality such as `as = a :: as`.\nInductive datatypes in Lean are acyclic.\n"},"Lean.MVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L261-L263","name":"Lean.MVarId","line":261,"kind":"structure","docLink":"./Lean/Expr.html#Lean.MVarId","doc":"Universe metavariable Id "},"Lean.MData.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L111-L111","name":"Lean.MData.empty","line":111,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData.empty","doc":""},"Lean.MData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L110-L110","name":"Lean.MData","line":110,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData","doc":"Expression metadata. 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"},"Lean.Lsp.WorkDoneProgressReport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressReport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.mk","doc":""},"Lean.Lsp.WorkDoneProgressReport.message?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L352-L352","name":"Lean.Lsp.WorkDoneProgressReport.message?","line":352,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.message?","doc":"More detailed associated progress message. "},"Lean.Lsp.WorkDoneProgressReport.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L350-L350","name":"Lean.Lsp.WorkDoneProgressReport.kind","line":350,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.kind","doc":""},"Lean.Lsp.WorkDoneProgressReport.cancellable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L354-L354","name":"Lean.Lsp.WorkDoneProgressReport.cancellable","line":354,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.cancellable","doc":"Controls if a cancel button should show to allow the user to cancel the operation. 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"},"Lean.Lsp.TextEdit.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L87-L87","name":"Lean.Lsp.TextEdit.range","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.range","doc":"The range of the text document to be manipulated.\nTo insert text into a document create a range where `start = end`. "},"Lean.Lsp.TextEdit.newText":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L89-L89","name":"Lean.Lsp.TextEdit.newText","line":89,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.newText","doc":"The string to be inserted. For delete operations use an empty string. "},"Lean.Lsp.TextEdit.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextEdit.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.mk","doc":""},"Lean.Lsp.TextEdit.annotationId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L97-L97","name":"Lean.Lsp.TextEdit.annotationId?","line":97,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.annotationId?","doc":"Identifier for annotated edit.\n\n`WorkspaceEdit` has a `changeAnnotations` field that maps these identifiers to a `ChangeAnnotation`.\nBy annotating an edit you can add a description of what the edit will do and also control whether the\nuser is presented with a prompt before applying the edit.\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit).\n"},"Lean.Lsp.TextEdit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L84-L98","name":"Lean.Lsp.TextEdit","line":84,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit","doc":"A textual edit applicable to a text document.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit) "},"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L86-L86","name":"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","line":86,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","doc":""},"Lean.Lsp.TextDocumentSyncOptions.willSave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L85-L85","name":"Lean.Lsp.TextDocumentSyncOptions.willSave","line":85,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSave","doc":""},"Lean.Lsp.TextDocumentSyncOptions.save?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L87-L87","name":"Lean.Lsp.TextDocumentSyncOptions.save?","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.save?","doc":""},"Lean.Lsp.TextDocumentSyncOptions.openClose":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L83-L83","name":"Lean.Lsp.TextDocumentSyncOptions.openClose","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.openClose","doc":""},"Lean.Lsp.TextDocumentSyncOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L1-L1","name":"Lean.Lsp.TextDocumentSyncOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.mk","doc":""},"Lean.Lsp.TextDocumentSyncOptions.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L84-L84","name":"Lean.Lsp.TextDocumentSyncOptions.change","line":84,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.change","doc":""},"Lean.Lsp.TextDocumentSyncOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/TextSync.lean#L82-L88","name":"Lean.Lsp.TextDocumentSyncOptions","line":82,"kind":"structure","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions","doc":"NOTE: This is defined twice in the spec. 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"},"Lean.Lsp.TextDocumentItem.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L279-L279","name":"Lean.Lsp.TextDocumentItem.uri","line":279,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.uri","doc":"The text document's URI. "},"Lean.Lsp.TextDocumentItem.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L285-L285","name":"Lean.Lsp.TextDocumentItem.text","line":285,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.text","doc":"The content of the opened text document. "},"Lean.Lsp.TextDocumentItem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextDocumentItem.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.mk","doc":""},"Lean.Lsp.TextDocumentItem.languageId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L281-L281","name":"Lean.Lsp.TextDocumentItem.languageId","line":281,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.languageId","doc":"The text document's language identifier. "},"Lean.Lsp.TextDocumentItem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Basic.lean#L277-L286","name":"Lean.Lsp.TextDocumentItem","line":277,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem","doc":"An item to transfer a text document from the client to the 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"},"Lean.Lsp.CodeActionTriggerKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L34-L41","name":"Lean.Lsp.CodeActionTriggerKind","line":34,"kind":"inductive","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionTriggerKind","doc":""},"Lean.Lsp.CodeActionParams.textDocument":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L81-L81","name":"Lean.Lsp.CodeActionParams.textDocument","line":81,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.textDocument","doc":""},"Lean.Lsp.CodeActionParams.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L82-L82","name":"Lean.Lsp.CodeActionParams.range","line":82,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.range","doc":""},"Lean.Lsp.CodeActionParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.mk","doc":""},"Lean.Lsp.CodeActionParams.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L83-L83","name":"Lean.Lsp.CodeActionParams.context","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.context","doc":""},"Lean.Lsp.CodeActionParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L80-L84","name":"Lean.Lsp.CodeActionParams","line":80,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams","doc":"Parameters for a [CodeActionRequest](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textDocument_codeAction). "},"Lean.Lsp.CodeActionOptions.resolveProvider?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L98-L98","name":"Lean.Lsp.CodeActionOptions.resolveProvider?","line":98,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.resolveProvider?","doc":"The server provides support to resolve additional information for a code action. "},"Lean.Lsp.CodeActionOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.mk","doc":""},"Lean.Lsp.CodeActionOptions.codeActionKinds?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L96-L96","name":"Lean.Lsp.CodeActionOptions.codeActionKinds?","line":96,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.codeActionKinds?","doc":"CodeActionKinds that this server may return.\n\nThe list of kinds may be generic, such as `\"refactor\"`, or the server may list out every specific kind they provide. "},"Lean.Lsp.CodeActionOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L92-L99","name":"Lean.Lsp.CodeActionOptions","line":92,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions","doc":"Capabilities of the server for handling code actions. "},"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L141-L141","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","line":141,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","doc":"The code action kind values the client supports. When this\nproperty exists the client also guarantees that it will\nhandle values outside its set gracefully and falls back\nto a default value when unknown.\n"},"Lean.Lsp.CodeActionLiteralSupportValueSet.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupportValueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L135-L142","name":"Lean.Lsp.CodeActionLiteralSupportValueSet","line":135,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet","doc":""},"Lean.Lsp.CodeActionLiteralSupport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupport.codeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L146-L146","name":"Lean.Lsp.CodeActionLiteralSupport.codeActionKind","line":146,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.codeActionKind","doc":"The code action kind is supported with the following value set. "},"Lean.Lsp.CodeActionLiteralSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L144-L147","name":"Lean.Lsp.CodeActionLiteralSupport","line":144,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport","doc":""},"Lean.Lsp.CodeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L32-L32","name":"Lean.Lsp.CodeActionKind","line":32,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionKind","doc":"The kind of a code action.\n\nKinds are a hierarchical list of identifiers separated by `.`,\ne.g. `\"refactor.extract.function\"`.\n\nThe set of kinds is open and client needs to announce the kinds it supports\nto the server during initialization.\nYou can make your own code action kinds, the ones supported by LSP are:\n- `quickfix`\n- `refactor`\n - `refactor.extract`\n - `refactor.inline`\n - `refactor.rewrite`\n- `source` Source code actions apply to the entire file. Eg fixing all issues or organising imports.\n - `source.organizeImports`\n - `source.fixAll`\n"},"Lean.Lsp.CodeActionDisabled.reason":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L88-L88","name":"Lean.Lsp.CodeActionDisabled.reason","line":88,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.reason","doc":""},"Lean.Lsp.CodeActionDisabled.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionDisabled.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.mk","doc":""},"Lean.Lsp.CodeActionDisabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L87-L89","name":"Lean.Lsp.CodeActionDisabled","line":87,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled","doc":"If the code action is disabled, this type gives the reson why. "},"Lean.Lsp.CodeActionContext.triggerKind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L76-L76","name":"Lean.Lsp.CodeActionContext.triggerKind?","line":76,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.triggerKind?","doc":"The reason why code actions were requested. "},"Lean.Lsp.CodeActionContext.only?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L74-L74","name":"Lean.Lsp.CodeActionContext.only?","line":74,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.only?","doc":"Requested kind of actions to return.\n\nActions not of this kind are filtered out by the client before being\nshown. So servers can omit computing them.\n"},"Lean.Lsp.CodeActionContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.mk","doc":""},"Lean.Lsp.CodeActionContext.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L68-L68","name":"Lean.Lsp.CodeActionContext.diagnostics","line":68,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.diagnostics","doc":"An array of diagnostics known on the client side overlapping the range\nprovided to the `textDocument/codeAction` request. They are provided so\nthat the server knows which errors are currently presented to the user\nfor the given range. There is no guarantee that these accurately reflect\nthe error state of the resource. The primary parameter\nto compute code actions is the provided range.\n"},"Lean.Lsp.CodeActionContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L59-L77","name":"Lean.Lsp.CodeActionContext","line":59,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext","doc":"Contains additional diagnostic information about the context in which a code action is run.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionContext) "},"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L168-L168","name":"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","line":168,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","doc":"Whether the client supports resolving additional code action properties via a separate `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.mk","doc":""},"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L154-L154","name":"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","line":154,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","doc":"Whether the code action supports the `isPreferred` property. "},"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L164-L164","name":"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","line":164,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","doc":"Whether the client honors the change annotations in\ntext edits and resource operations returned via the\n`CodeAction#edit` property by for example presenting\nthe workspace edit in the user interface and asking\nfor confirmation. "},"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L152-L152","name":"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","line":152,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","doc":"Whether we can [register capabilities dynamically](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#client_registerCapability). "},"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L156-L156","name":"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","line":156,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","doc":"Whether the code action supports the `disabled` property. "},"Lean.Lsp.CodeActionClientCapabilities.dataSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L158-L158","name":"Lean.Lsp.CodeActionClientCapabilities.dataSupport?","line":158,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dataSupport?","doc":"Weather code action supports the `data` property which is preserved between a `textDocument/codeAction` and a `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L166-L166","name":"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","line":166,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","doc":"The client supports code action literals as a valid response of the `textDocument/codeAction` request. "},"Lean.Lsp.CodeActionClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L150-L169","name":"Lean.Lsp.CodeActionClientCapabilities","line":150,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities","doc":"[Reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionClientCapabilities) "},"Lean.Lsp.CodeAction.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L110-L110","name":"Lean.Lsp.CodeAction.title","line":110,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.title","doc":"A short, human-readable, title for this code action. "},"Lean.Lsp.CodeAction.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeAction.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.mk","doc":""},"Lean.Lsp.CodeAction.kind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L112-L112","name":"Lean.Lsp.CodeAction.kind?","line":112,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.kind?","doc":"The kind of the code action. "},"Lean.Lsp.CodeAction.isPreferred?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L116-L116","name":"Lean.Lsp.CodeAction.isPreferred?","line":116,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.isPreferred?","doc":"Marks this as a preferred action. Preferred actions are used by the `auto fix` command and can be targeted by keybindings. "},"Lean.Lsp.CodeAction.edit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L120-L120","name":"Lean.Lsp.CodeAction.edit?","line":120,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.edit?","doc":"The workspace edit this code action performs. "},"Lean.Lsp.CodeAction.disabled?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L118-L118","name":"Lean.Lsp.CodeAction.disabled?","line":118,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.disabled?","doc":"Marks that the code action cannot currently be applied. "},"Lean.Lsp.CodeAction.diagnostics?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L114-L114","name":"Lean.Lsp.CodeAction.diagnostics?","line":114,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.diagnostics?","doc":"The diagnostics that this code action resolves. "},"Lean.Lsp.CodeAction.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L128-L128","name":"Lean.Lsp.CodeAction.data?","line":128,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.data?","doc":"A data entry field that is preserved on a code action between a `textDocument/codeAction` and a `codeAction/resolve` request.\nIn particular, for Lean-created commands we expect `data` to have a `uri : DocumentUri` field so that `FileSource` can be implemented.\n "},"Lean.Lsp.CodeAction.command?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L124-L124","name":"Lean.Lsp.CodeAction.command?","line":124,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.command?","doc":"A command this code action executes.\n\nIf a code action provides an edit and a command, first the edit is executed and then the command. "},"Lean.Lsp.CodeAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/CodeActions.lean#L108-L129","name":"Lean.Lsp.CodeAction","line":108,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction","doc":"A code action represents a change that can be performed in code, e.g. to fix a problem or to refactor code.\n\nA CodeAction should set either `edit` and/or a `command`.\nIf both are supplied, the `edit` is applied first, then the `command` is executed.\nIf none are supplied, the client makes a `codeAction/resolve` JSON-RPC request to compute the edit.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeAction) 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string providing a short description of the error. "},"Lean.JsonRpc.ResponseError.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L174-L174","name":"Lean.JsonRpc.ResponseError.id","line":174,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.id","doc":""},"Lean.JsonRpc.ResponseError.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L180-L180","name":"Lean.JsonRpc.ResponseError.data?","line":180,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.data?","doc":"A primitive or structured value that contains additional\ninformation about the error. Can be omitted. "},"Lean.JsonRpc.ResponseError.code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L175-L175","name":"Lean.JsonRpc.ResponseError.code","line":175,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.code","doc":""},"Lean.JsonRpc.ResponseError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L173-L181","name":"Lean.JsonRpc.ResponseError","line":173,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError","doc":"Generic version of `Message.responseError`.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#error_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseError).\n"},"Lean.JsonRpc.Response.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L161-L161","name":"Lean.JsonRpc.Response.result","line":161,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.result","doc":""},"Lean.JsonRpc.Response.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L159-L159","name":"Lean.JsonRpc.Response.mk","line":159,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.mk","doc":""},"Lean.JsonRpc.Response.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L160-L160","name":"Lean.JsonRpc.Response.id","line":160,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.id","doc":""},"Lean.JsonRpc.Response":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L159-L162","name":"Lean.JsonRpc.Response","line":159,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response","doc":"Generic version of `Message.response`.\n\nA Response Message sent as a result of a request. If a request doesn’t provide a\nresult value the receiver of a request still needs to return a response message\nto conform to the JSON-RPC specification. The result property of the ResponseMessage\nshould be set to null in this case to signal a successful request.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#response_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseMessage)\n"},"Lean.JsonRpc.RequestID.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L22-L22","name":"Lean.JsonRpc.RequestID.str","line":22,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.str","doc":""},"Lean.JsonRpc.RequestID.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L23-L23","name":"Lean.JsonRpc.RequestID.num","line":23,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.num","doc":""},"Lean.JsonRpc.RequestID.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L24-L24","name":"Lean.JsonRpc.RequestID.null","line":24,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.null","doc":""},"Lean.JsonRpc.RequestID":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L21-L25","name":"Lean.JsonRpc.RequestID","line":21,"kind":"inductive","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID","doc":"In JSON-RPC, each request from the client editor to the language server comes with a\nrequest id so that the corresponding response can be identified or cancelled. 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Every processed request must send a response back to the sender of the request.\n\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#requestMessage)\n- [JSON-RPC](https://www.jsonrpc.org/specification#request_object)\n"},"Lean.JsonRpc.Notification.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L142-L142","name":"Lean.JsonRpc.Notification.param","line":142,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.param","doc":""},"Lean.JsonRpc.Notification.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L140-L140","name":"Lean.JsonRpc.Notification.mk","line":140,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.mk","doc":""},"Lean.JsonRpc.Notification.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L141-L141","name":"Lean.JsonRpc.Notification.method","line":141,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.method","doc":""},"Lean.JsonRpc.Notification":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L140-L143","name":"Lean.JsonRpc.Notification","line":140,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification","doc":"Generic version of `Message.notification`.\n\nA notification message. 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`reuse x ctor ...` with `ctor ...`, and remoce `dec x` "},"Lean.IR.ExpandResetReuse.removeSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L168-L186","name":"Lean.IR.ExpandResetReuse.removeSelfSet","line":168,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.removeSelfSet","doc":"Remove unnecessary `set/uset/sset` operations "},"Lean.IR.ExpandResetReuse.releaseUnreadFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L135-L141","name":"Lean.IR.ExpandResetReuse.releaseUnreadFields","line":135,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.releaseUnreadFields","doc":""},"Lean.IR.ExpandResetReuse.mkSlowPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L124-L129","name":"Lean.IR.ExpandResetReuse.mkSlowPath","line":124,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkSlowPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\ninc z_1; ...; inc z_i; dec y; b'\n```\nwhere `z_i`'s are the variables in `mask`,\nand `b'` is `b` where we removed `dec x` and replaced `reuse x ctor_i ...` with `ctor_i ...`.\n"},"Lean.IR.ExpandResetReuse.mkProjMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L31-L34","name":"Lean.IR.ExpandResetReuse.mkProjMap","line":31,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkProjMap","doc":"Create a mapping from variables to projections.\nThis function assumes variable ids have been normalized "},"Lean.IR.ExpandResetReuse.mkFresh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L132-L133","name":"Lean.IR.ExpandResetReuse.mkFresh","line":132,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFresh","doc":""},"Lean.IR.ExpandResetReuse.mkFastPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L230-L233","name":"Lean.IR.ExpandResetReuse.mkFastPath","line":230,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFastPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\nlet f_i_1 := proj[i_1] y;\n...\nlet f_i_k := proj[i_k] y;\nb'\n```\nwhere `i_j`s are the field indexes\nthat the code did not touch immediately before the reset.\nThat is `mask[j] == none`.\n`b'` is `b` where `y` `dec x` is replaced with `del y`,\nand `z := reuse x ctor_i ws; F` is replaced with\n`set x i ws[i]` operations, and we replace `z` with `x` in `F`\n"},"Lean.IR.ExpandResetReuse.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L265-L272","name":"Lean.IR.ExpandResetReuse.main","line":265,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.main","doc":""},"Lean.IR.ExpandResetReuse.isSelfUSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L156-L159","name":"Lean.IR.ExpandResetReuse.isSelfUSet","line":156,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfUSet","doc":"Given `uset x[i] := y`, return true iff `y := uproj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L147-L153","name":"Lean.IR.ExpandResetReuse.isSelfSet","line":147,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSet","doc":"Given `set x[i] := y`, return true iff `y := proj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L162-L165","name":"Lean.IR.ExpandResetReuse.isSelfSSet","line":162,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSSet","doc":"Given `sset x[n, i] := y`, return true iff `y := sproj[n, i] x` "},"Lean.IR.ExpandResetReuse.expand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L236-L247","name":"Lean.IR.ExpandResetReuse.expand","line":236,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.expand","doc":""},"Lean.IR.ExpandResetReuse.eraseProjIncForAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L53-L82","name":"Lean.IR.ExpandResetReuse.eraseProjIncForAux","line":53,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncForAux","doc":"Auxiliary function for eraseProjIncFor "},"Lean.IR.ExpandResetReuse.eraseProjIncFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/IR/ExpandResetReuse.lean#L86-L87","name":"Lean.IR.ExpandResetReuse.eraseProjIncFor","line":86,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncFor","doc":"Try to erase `inc` instructions on projections of `y` occurring in the tail of `bs`.\nReturn the updated `bs` and a bit mask specifying which `inc`s have been removed. 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They are redundant, but are used to create more compact\nterms, speedup reduction, and implement eta for structures.\nThe type of `struct` must be an structure-like inductive type. That is, it has only one\nconstructor, is not recursive, and it is not an inductive predicate. The kernel and elaborators\ncheck whether the `typeName` matches the type of `struct`, and whether the (zero-based) index\nis valid (i.e., it is smaller than the numbef of constructor fields).\nWhen exporting Lean developments to other systems, `proj` can be replaced with `typeName`.`rec`\napplications.\n\nExample, given `a : Nat x Bool`, `a.1` is represented as\n```\n.proj `Prod 0 a\n```\n"},"Lean.Expr.prod?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L105-L106","name":"Lean.Expr.prod?","line":105,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.prod?","doc":"Recognize `α × β` "},"Lean.Expr.occurs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L55-L56","name":"Lean.Expr.occurs","line":55,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.occurs","doc":"Return true if `e` occurs in `t` "},"Lean.Expr.notNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L58-L61","name":"Lean.Expr.notNot?","line":58,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.notNot?","doc":""},"Lean.Expr.not?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L55-L56","name":"Lean.Expr.not?","line":55,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.not?","doc":""},"Lean.Expr.ne?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L43-L44","name":"Lean.Expr.ne?","line":43,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.ne?","doc":""},"Lean.Expr.natLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1034-L1036","name":"Lean.Expr.natLit?","line":1034,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.natLit?","doc":""},"Lean.Expr.natAdd?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L69-L70","name":"Lean.Expr.natAdd?","line":69,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.natAdd?","doc":""},"Lean.Expr.mvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1065-L1067","name":"Lean.Expr.mvarId!","line":1065,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mvarId!","doc":""},"Lean.Expr.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L336-L342","name":"Lean.Expr.mvar","line":336,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mvar","doc":"Metavariables are used to represent \"holes\" in expressions, and goals in the\ntactic framework. Metavariable declarations are stored in the `MetavarContext`.\nMetavariables are used during elaboration, and are not allowed in the kernel,\nor in the code generator.\n"},"Lean.Expr.mkDataForLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L194-L195","name":"Lean.Expr.mkDataForLet","line":194,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForLet","doc":""},"Lean.Expr.mkDataForBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L191-L192","name":"Lean.Expr.mkDataForBinder","line":191,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForBinder","doc":""},"Lean.Expr.mkData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L164-L178","name":"Lean.Expr.mkData","line":164,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkData","doc":""},"Lean.Expr.mkAppRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1281-L1282","name":"Lean.Expr.mkAppRevRange","line":1281,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppRevRange","doc":"`mkAppRevRange f b e args == mkAppRev f (revArgs.extract b e)` "},"Lean.Expr.mkAppData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L181-L189","name":"Lean.Expr.mkAppData","line":181,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppData","doc":"Optimized version of `Expr.mkData` for applications. "},"Lean.Expr.mdataExpr!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1109-L1111","name":"Lean.Expr.mdataExpr!","line":1109,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mdataExpr!","doc":""},"Lean.Expr.mdata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L435-L445","name":"Lean.Expr.mdata","line":435,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mdata","doc":"Metadata (aka annotations).\n\nWe use annotations to provide hints to the pretty-printer,\nstore references to `Syntax` nodes, position information, and save information for\nelaboration procedures (e.g., we use the `inaccessible` annotation during elaboration to\nmark `Expr`s that correspond to inaccessible patterns).\n\nNote that `Expr.mdata data e` is definitionally equal to `e`.\n"},"Lean.Expr.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L764-L764","name":"Lean.Expr.lt","line":764,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lt","doc":"A total order for expressions that takes the structure into account (e.g., variable names). "},"Lean.Expr.lowerLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1150-L1150","name":"Lean.Expr.lowerLooseBVars","line":1150,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lowerLooseBVars","doc":"Lower the loose bound variables `>= s` in `e` by `d`.\nThat is, a loose bound variable `bvar i`.\n`i >= s` is mapped into `bvar (i-d)`.\n\nRemark: if `s < d`, then result is `e`\n"},"Lean.Expr.looseBVarRangeEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L602-L602","name":"Lean.Expr.looseBVarRangeEx","line":602,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRangeEx","doc":""},"Lean.Expr.looseBVarRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L581-L582","name":"Lean.Expr.looseBVarRange","line":581,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRange","doc":"The range of de-Bruijn variables that are loose.\nThat is, bvars that are not bound by a binder.\nFor example, `bvar i` has range `i + 1` and\nan expression with no loose bvars has range `0`.\n"},"Lean.Expr.litValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1026-L1028","name":"Lean.Expr.litValue!","line":1026,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.litValue!","doc":""},"Lean.Expr.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L422-L433","name":"Lean.Expr.lit","line":422,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lit","doc":"Natural number and string literal values.\n\nThey are not really needed, but provide a more compact representation in memory\nfor these two kinds of literals, and are used to implement efficient reduction\nin the elaborator and kernel. The \"raw\" natural number `2` can be represented\nas `Expr.lit (.natVal 2)`. Note that, it is definitionally equal to:\n```lean\nExpr.app (.const `Nat.succ []) (.app (.const `Nat.succ []) (.const `Nat.zero []))\n```\n"},"Lean.Expr.listLit?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L89-L95","name":"Lean.Expr.listLit?.loop","line":89,"kind":"opaque","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?.loop","doc":""},"Lean.Expr.listLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L88-L96","name":"Lean.Expr.listLit?","line":88,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?","doc":""},"Lean.Expr.liftLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1155-L1155","name":"Lean.Expr.liftLooseBVars","line":1155,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.liftLooseBVars","doc":"Lift loose bound variables `>= s` in `e` by `d`. "},"Lean.Expr.letValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1097-L1099","name":"Lean.Expr.letValue!","line":1097,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letValue!","doc":""},"Lean.Expr.letType!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1093-L1095","name":"Lean.Expr.letType!","line":1093,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letType!","doc":""},"Lean.Expr.letName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1089-L1091","name":"Lean.Expr.letName!","line":1089,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letName!","doc":""},"Lean.Expr.letE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L402-L420","name":"Lean.Expr.letE","line":402,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.letE","doc":"Let-expressions.\n\n**IMPORTANT**: The `nonDep` flag is for \"local\" use only. That is, a module should not \"trust\" its value for any purpose.\nIn the intended use-case, the compiler will set this flag, and be responsible for maintaining it.\nOther modules may not preserve its value while applying transformations.\n\nGiven an environment, a metavariable context, and a local context,\nwe say a let-expression `let x : t := v; e` is non-dependent when it is equivalent\nto `(fun x : t => e) v`. Here is an example of a dependent let-expression\n`let n : Nat := 2; fun (a : Array Nat n) (b : Array Nat 2) => a = b` is type correct,\nbut `(fun (n : Nat) (a : Array Nat n) (b : Array Nat 2) => a = b) 2` is not.\n\nThe let-expression `let x : Nat := 2; Nat.succ x` is represented as\n```\nExpr.letE `x (.const `Nat []) (.lit (.natVal 2)) (.app (.const `Nat.succ []) (.bvar 0)) true\n```\n"},"Lean.Expr.letBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1101-L1103","name":"Lean.Expr.letBody!","line":1101,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letBody!","doc":""},"Lean.Expr.lam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L372-L381","name":"Lean.Expr.lam","line":372,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lam","doc":"A lambda abstraction (aka anonymous functions). It introduces a new binder for\nvariable `x` in scope for the lambda body.\n\nFor example, the expression `fun x : Nat => x` is represented as\n```\nExpr.lam `x (.const `Nat []) (.bvar 0) .default\n```\n"},"Lean.Expr.isType0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L794-L796","name":"Lean.Expr.isType0","line":794,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType0","doc":"Return `true` if the given expression is of the form `.sort (.succ .zero)`. "},"Lean.Expr.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L789-L791","name":"Lean.Expr.isType","line":789,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType","doc":"Return `true` if the given expression is of the form `.sort (.succ ..)`. "},"Lean.Expr.isSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L15-L17","name":"Lean.Expr.isSyntheticSorry","line":15,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSyntheticSorry","doc":""},"Lean.Expr.isStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1038-L1040","name":"Lean.Expr.isStringLit","line":1038,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isStringLit","doc":""},"Lean.Expr.isSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L784-L786","name":"Lean.Expr.isSort","line":784,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSort","doc":"Return `true` if the given expression is a `.sort ..` "},"Lean.Expr.isSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L11-L13","name":"Lean.Expr.isSorry","line":11,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSorry","doc":""},"Lean.Expr.isSemiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1406-L1407","name":"Lean.Expr.isSemiOutParam","line":1406,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSemiOutParam","doc":"Return `true` if `e` is of the form `semiOutParam _` "},"Lean.Expr.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L799-L801","name":"Lean.Expr.isProp","line":799,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProp","doc":"Return `true` if the given expression is a `.sort .zero` "},"Lean.Expr.isProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L824-L826","name":"Lean.Expr.isProj","line":824,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProj","doc":"Return `true` if the given expression is a projection `.proj ..` "},"Lean.Expr.isOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1402-L1403","name":"Lean.Expr.isOutParam","line":1402,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOutParam","doc":"Return `true` if `e` is of the form `outParam _` "},"Lean.Expr.isOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1410-L1411","name":"Lean.Expr.isOptParam","line":1410,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOptParam","doc":"Return `true` if `e` is of the form `optParam _ _` "},"Lean.Expr.isNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L19-L21","name":"Lean.Expr.isNonSyntheticSorry","line":19,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isNonSyntheticSorry","doc":""},"Lean.Expr.isNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1030-L1032","name":"Lean.Expr.isNatLit","line":1030,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isNatLit","doc":""},"Lean.Expr.isMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L809-L811","name":"Lean.Expr.isMVar","line":809,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMVar","doc":"Return `true` if the given expression is a metavariable. "},"Lean.Expr.isMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L876-L878","name":"Lean.Expr.isMData","line":876,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMData","doc":"Return `true` if the given expression is a metadata. "},"Lean.Expr.isLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L881-L883","name":"Lean.Expr.isLit","line":881,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLit","doc":"Return `true` if the given expression is a literal value. "},"Lean.Expr.isLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L871-L873","name":"Lean.Expr.isLet","line":871,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLet","doc":"Return `true` if the given expression is a let-expression. "},"Lean.Expr.isLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L860-L862","name":"Lean.Expr.isLambda","line":860,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLambda","doc":"Return `true` if the given expression is a lambda abstraction aka anonymous function. "},"Lean.Expr.isIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L82-L83","name":"Lean.Expr.isIte","line":82,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isIte","doc":""},"Lean.Expr.isHeadBetaTargetFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1342-L1346","name":"Lean.Expr.isHeadBetaTargetFn","line":1342,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTargetFn","doc":"Return true if the given expression is the function of an expression that is target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n\nSee `isHeadBetaTarget`.\n"},"Lean.Expr.isHeadBetaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1358-L1359","name":"Lean.Expr.isHeadBetaTarget","line":1358,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTarget","doc":"Return true if the given expression is a target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n"},"Lean.Expr.isHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L79-L80","name":"Lean.Expr.isHEq","line":79,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isHEq","doc":""},"Lean.Expr.isForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L855-L857","name":"Lean.Expr.isForall","line":855,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isForall","doc":"Return `true` if the given expression is a forall-expression aka (dependent) arrow. "},"Lean.Expr.isFVarOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L850-L852","name":"Lean.Expr.isFVarOf","line":850,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVarOf","doc":"Return `true` if the given expression is a free variable with the given id.\nExamples:\n- `isFVarOf (.fvar id) id` is `true`\n- ``isFVarOf (.fvar id) id'`` is `false`\n- ``isFVarOf (.sort levelZero) id`` is `false`\n"},"Lean.Expr.isFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L814-L816","name":"Lean.Expr.isFVar","line":814,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVar","doc":"Return `true` if the given expression is a free variable. "},"Lean.Expr.isErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L16-L17","name":"Lean.Expr.isErased","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Expr.isErased","doc":""},"Lean.Expr.isEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L76-L77","name":"Lean.Expr.isEq","line":76,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isEq","doc":""},"Lean.Expr.isDIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L85-L86","name":"Lean.Expr.isDIte","line":85,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isDIte","doc":""},"Lean.Expr.isConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L113-L121","name":"Lean.Expr.isConstructorApp?","line":113,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp?","doc":""},"Lean.Expr.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L123-L124","name":"Lean.Expr.isConstructorApp","line":123,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp","doc":""},"Lean.Expr.isConstOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L839-L841","name":"Lean.Expr.isConstOf","line":839,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConstOf","doc":"Return `true` if the given expression is a constant of the give name.\nExamples:\n- `` (.const `Nat []).isConstOf `Nat `` is `true`\n- `` (.const `Nat []).isConstOf `False `` is `false`\n"},"Lean.Expr.isConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L829-L831","name":"Lean.Expr.isConst","line":829,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConst","doc":"Return `true` if the given expression is a constant. "},"Lean.Expr.isCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1042-L1043","name":"Lean.Expr.isCharLit","line":1042,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isCharLit","doc":""},"Lean.Expr.isBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L865-L868","name":"Lean.Expr.isBinding","line":865,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBinding","doc":"Return `true` if the given expression is a forall or lambda expression. "},"Lean.Expr.isBVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L804-L806","name":"Lean.Expr.isBVar","line":804,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBVar","doc":"Return `true` if the given expression is a bound variable. "},"Lean.Expr.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1414-L1415","name":"Lean.Expr.isAutoParam","line":1414,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAutoParam","doc":"Return `true` if `e` is of the form `autoParam _ _` "},"Lean.Expr.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1225-L1232","name":"Lean.Expr.isAtomic","line":1225,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAtomic","doc":"Returns true when the expression does not have any sub-expressions. "},"Lean.Expr.isArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1128-L1131","name":"Lean.Expr.isArrow","line":1128,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isArrow","doc":"Return `true` if `e` is a non-dependent arrow.\nRemark: the following function assumes `e` does not have loose bound variables.\n"},"Lean.Expr.isAppOfArity'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L998-L1002","name":"Lean.Expr.isAppOfArity'","line":998,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity'","doc":"Similar to `isAppOfArity` but skips `Expr.mdata`. "},"Lean.Expr.isAppOfArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L992-L995","name":"Lean.Expr.isAppOfArity","line":992,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity","doc":"Given `f a₁ ... aᵢ`, returns true if `f` is a constant\nwith name `n` and has the correct number of arguments.\n"},"Lean.Expr.isAppOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L983-L986","name":"Lean.Expr.isAppOf","line":983,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOf","doc":"Given `f a₀ a₁ ... aₙ`, returns true if `f` is a constant with name `n`. "},"Lean.Expr.isApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L819-L821","name":"Lean.Expr.isApp","line":819,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isApp","doc":"Return `true` if the given expression is an application. "},"Lean.Expr.instantiateRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1199-L1199","name":"Lean.Expr.instantiateRevRange","line":1199,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRevRange","doc":"Similar to `instantiateRev`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1185-L1185","name":"Lean.Expr.instantiateRev","line":1185,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRev","doc":"Similar to instantiate, but `Expr.bvar i` is replaced with `subst[subst.size - i - 1]` "},"Lean.Expr.instantiateRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1192-L1192","name":"Lean.Expr.instantiateRange","line":1192,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRange","doc":"Similar to `instantiate`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateLevelParamsNoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L40-L42","name":"Lean.Expr.instantiateLevelParamsNoCache","line":40,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsNoCache","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n(Does not preserve expression 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parameters\n"},"Lean.Expr.instantiateLevelParamsArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L57-L60","name":"Lean.Expr.instantiateLevelParamsArray","line":57,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsArray","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two arrays have different length, the smallest one is used.\n"},"Lean.Expr.instantiateLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/InstantiateLevelParams.lean#L31-L33","name":"Lean.Expr.instantiateLevelParams","line":31,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParams","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n"},"Lean.Expr.instantiateBetaRevRange.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/InferType.lean#L32-L65","name":"Lean.Expr.instantiateBetaRevRange.visit","line":32,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange.visit","doc":""},"Lean.Expr.instantiateBetaRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/InferType.lean#L25-L65","name":"Lean.Expr.instantiateBetaRevRange","line":25,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange","doc":"Auxiliary function for instantiating the loose bound variables in `e` with `args[start:stop]`.\nThis function is similar to `instantiateRevRange`, but it applies beta-reduction when\nwe instantiate a bound variable with a lambda expression.\nExample: Given the term `#0 a`, and `start := 0, stop := 1, args := #[fun x => x]` the result is\n`a` instead of `(fun x => x) a`.\nThis reduction is useful when we are inferring the type of eliminator-like applications.\nFor example, given `(n m : Nat) (f : Nat → Nat) (h : m = n)`,\nthe type of `Eq.subst (motive := fun x => f m = f x) h rfl`\nis `motive n` which is `(fun (x : Nat) => f m = f x) n`\nThis function reduces the new application to `f m = f n`\n\nWe use it to implement `inferAppType`\n"},"Lean.Expr.instantiate1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1181-L1181","name":"Lean.Expr.instantiate1","line":1181,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate1","doc":""},"Lean.Expr.instantiate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1178-L1178","name":"Lean.Expr.instantiate","line":1178,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate","doc":"Instantiate the loose bound 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"},"Lean.Expr.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L596-L596","name":"Lean.Expr.hashEx","line":596,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hashEx","doc":""},"Lean.Expr.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L526-L527","name":"Lean.Expr.hash","line":526,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hash","doc":""},"Lean.Expr.hasSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L26-L27","name":"Lean.Expr.hasSyntheticSorry","line":26,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSyntheticSorry","doc":""},"Lean.Expr.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L23-L24","name":"Lean.Expr.hasSorry","line":23,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSorry","doc":""},"Lean.Expr.hasNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Sorry.lean#L29-L30","name":"Lean.Expr.hasNonSyntheticSorry","line":29,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasNonSyntheticSorry","doc":""},"Lean.Expr.hasMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L600-L600","name":"Lean.Expr.hasMVarEx","line":600,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVarEx","doc":""},"Lean.Expr.hasMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L556-L558","name":"Lean.Expr.hasMVar","line":556,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVar","doc":"Does the expression contain level (aka universe) or expression metavariables?\nThis is a constant time operation.\n"},"Lean.Expr.hasLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1121-L1122","name":"Lean.Expr.hasLooseBVars","line":1121,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVars","doc":""},"Lean.Expr.hasLooseBVarInExplicitDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1137-L1140","name":"Lean.Expr.hasLooseBVarInExplicitDomain","line":1137,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVarInExplicitDomain","doc":"Return true if `e` contains the loose bound variable `bvarIdx` in an explicit parameter, or in the range if `tryRange == true`. 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"},"Lean.Expr.getUsedConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FoldConsts.lean#L66-L67","name":"Lean.Expr.getUsedConstants","line":66,"kind":"def","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.getUsedConstants","doc":""},"Lean.Expr.getRevArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L964-L967","name":"Lean.Expr.getRevArgD","line":964,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArgD","doc":""},"Lean.Expr.getRevArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L969-L972","name":"Lean.Expr.getRevArg!","line":969,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArg!","doc":""},"Lean.Expr.getOptParamDefault?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1387-L1391","name":"Lean.Expr.getOptParamDefault?","line":1387,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getOptParamDefault?","doc":"Return `some e'` if `e` is of the form `optParam _ e'` "},"Lean.Expr.getForallBodyMaxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L894-L897","name":"Lean.Expr.getForallBodyMaxDepth","line":894,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBodyMaxDepth","doc":""},"Lean.Expr.getForallBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L890-L892","name":"Lean.Expr.getForallBody","line":890,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBody","doc":"Return the \"body\" of a forall expression.\nExample: let `e` be the representation for `forall (p : Prop) (q : Prop), p ∧ q`, then\n`getForallBody e` returns ``.app (.app (.const `And []) (.bvar 1)) (.bvar 0)``\n"},"Lean.Expr.getForallBinderNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L901-L903","name":"Lean.Expr.getForallBinderNames","line":901,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBinderNames","doc":"Given a sequence of nested foralls `(a₁ : α₁) → ... → (aₙ : αₙ) → _`,\nreturns the names `[a₁, ... aₙ]`. "},"Lean.Expr.getAutoParamTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1394-L1398","name":"Lean.Expr.getAutoParamTactic?","line":1394,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAutoParamTactic?","doc":"Return `some e'` if `e` is of the form `autoParam _ e'` "},"Lean.Expr.getArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L979-L980","name":"Lean.Expr.getArgD","line":979,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArgD","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or returns `v₀` if out of bounds. "},"Lean.Expr.getArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L975-L976","name":"Lean.Expr.getArg!","line":975,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArg!","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or panics if out of bounds. "},"Lean.Expr.getAppRevArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L937-L938","name":"Lean.Expr.getAppRevArgs","line":937,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppRevArgs","doc":"Same as `getAppArgs` but reverse the output array. "},"Lean.Expr.getAppNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L919-L920","name":"Lean.Expr.getAppNumArgs","line":919,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppNumArgs","doc":"Counts the number `n` of arguments for an expression `f a₁ .. aₙ`. "},"Lean.Expr.getAppFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L910-L912","name":"Lean.Expr.getAppFn","line":910,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppFn","doc":"If the given expression is a sequence of\nfunction applications `f a₁ .. aₙ`, return `f`.\nOtherwise return the input expression.\n"},"Lean.Expr.getAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L927-L930","name":"Lean.Expr.getAppArgs","line":927,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppArgs","doc":"Given `f a₁ a₂ ... aₙ`, returns `#[a₁, ..., aₙ]` "},"Lean.Expr.fvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1061-L1063","name":"Lean.Expr.fvarId!","line":1061,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.fvarId!","doc":""},"Lean.Expr.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L321-L334","name":"Lean.Expr.fvar","line":321,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.fvar","doc":"The `fvar` constructor represent free variables. These /free/ variable\noccurrences are not bound by an earlier `lam`, `forallE`, or `letE`\ncontructor and its binder exists in a local context only.\n\nNote that Lean uses the /locally nameless approach/. See [here](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.2479&rep=rep1&type=pdf)\nfor additional details.\n\nWhen \"visiting\" the body of a binding expression (i.e. `lam`, `forallE`, or `letE`),\nbound variables are converted into free variables using a unique identifier,\nand their user-facing name, type, value (for `LetE`), and binder annotation\nare stored in the `LocalContext`.\n"},"Lean.Expr.forallE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L383-L400","name":"Lean.Expr.forallE","line":383,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.forallE","doc":"A dependent arrow `(a : α) → β)` (aka forall-expression) where `β` may dependent\non `a`. Note that this constructor is also used to represent non-dependent arrows\nwhere `β` does not depend on `a`.\n\nFor example:\n- `forall x : Prop, x ∧ x`:\n```lean\nExpr.forallE `x (.sort .zero)\n (.app (.app (.const `And []) (.bvar 0)) (.bvar 0)) .default\n```\n- `Nat → Bool`:\n```lean\nExpr.forallE `a (.const `Nat [])\n (.const `Bool []) .default\n```\n"},"Lean.Expr.forEachWhere":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExprWhere.lean#L83-L83","name":"Lean.Expr.forEachWhere","line":83,"kind":"opaque","docLink":"./Lean/Util/ForEachExprWhere.html#Lean.Expr.forEachWhere","doc":"`e.forEachWhere p f` applies `f` to each subterm that satisfies `p`.\n"},"Lean.Expr.forEach'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExpr.lean#L33-L34","name":"Lean.Expr.forEach'","line":33,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach'","doc":"Apply `f` to each sub-expression of `e`. If `f t` returns false, then t's children are not visited. "},"Lean.Expr.forEach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/ForEachExpr.lean#L36-L37","name":"Lean.Expr.forEach","line":36,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach","doc":""},"Lean.Expr.foldConsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FoldConsts.lean#L64-L64","name":"Lean.Expr.foldConsts","line":64,"kind":"opaque","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.foldConsts","doc":"Apply `f` to every constant occurring in `e` once. "},"Lean.Expr.findMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindMVar.lean#L31-L32","name":"Lean.Expr.findMVar?","line":31,"kind":"def","docLink":"./Lean/Util/FindMVar.html#Lean.Expr.findMVar?","doc":""},"Lean.Expr.findLevelMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindLevelMVar.lean#L43-L44","name":"Lean.Expr.findLevelMVar?","line":43,"kind":"def","docLink":"./Lean/Util/FindLevelMVar.html#Lean.Expr.findLevelMVar?","doc":""},"Lean.Expr.findExt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L100-L100","name":"Lean.Expr.findExt?","line":100,"kind":"opaque","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.findExt?","doc":"Similar to `find?`, but `p` can return `FindStep.done` to interrupt the search on subterms.\nRemark: Differently from `find?`, we do not invoke `p` for partial applications of an application. "},"Lean.Expr.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/FindExpr.lean#L41-L52","name":"Lean.Expr.find?","line":41,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.find?","doc":""},"Lean.Expr.etaExpandedStrict?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1382-L1384","name":"Lean.Expr.etaExpandedStrict?","line":1382,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpandedStrict?","doc":"Similar to `etaExpanded?`, but only succeeds if `ₙ ≥ 1`. "},"Lean.Expr.etaExpanded?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1378-L1379","name":"Lean.Expr.etaExpanded?","line":1378,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpanded?","doc":"If `e` is of the form `(fun x₁ ... xₙ => f x₁ ... xₙ)` and `f` does not contain `x₁`, ..., `xₙ`,\nthen return `some f`. Otherwise, return `none`.\n\nIt assumes `e` does not have loose bound variables.\n\nRemark: `ₙ` may be 0\n"},"Lean.Expr.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1590-L1601","name":"Lean.Expr.eta","line":1590,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eta","doc":"Eta reduction. If `e` is of the form `(fun x => f x)`, then return `f`.\n"},"Lean.Expr.eqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L771-L771","name":"Lean.Expr.eqv","line":771,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eqv","doc":"Return true iff `a` and `b` are alpha equivalent.\nBinder annotations are ignored.\n"},"Lean.Expr.equal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L781-L781","name":"Lean.Expr.equal","line":781,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.equal","doc":"Return true iff `a` and `b` are equal.\nBinder names and annotations are taking into account.\n"},"Lean.Expr.eqOrIff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L49-L53","name":"Lean.Expr.eqOrIff?","line":49,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eqOrIff?","doc":""},"Lean.Expr.eq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L40-L41","name":"Lean.Expr.eq?","line":40,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eq?","doc":""},"Lean.Expr.dbgToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L756-L756","name":"Lean.Expr.dbgToString","line":756,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.dbgToString","doc":""},"Lean.Expr.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L288-L507","name":"Lean.Expr.data","line":288,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.data","doc":""},"Lean.Expr.ctorWeight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/ACLt.lean#L12-L24","name":"Lean.Expr.ctorWeight","line":12,"kind":"def","docLink":"./Lean/Meta/ACLt.html#Lean.Expr.ctorWeight","doc":""},"Lean.Expr.ctorName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L512-L524","name":"Lean.Expr.ctorName","line":512,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.ctorName","doc":"The constructor name for the given expression. This is used for debugging purposes. "},"Lean.Expr.containsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1459-L1460","name":"Lean.Expr.containsFVar","line":1459,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.containsFVar","doc":"Return `true` if `e` contains the given free variable. "},"Lean.Expr.consumeTypeAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1425-L1431","name":"Lean.Expr.consumeTypeAnnotations","line":1425,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.consumeTypeAnnotations","doc":"Remove `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `consumeTypeAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `consumeTypeAnnotations e = e`.\n"},"Lean.Expr.consumeMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1105-L1107","name":"Lean.Expr.consumeMData","line":1105,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.consumeMData","doc":""},"Lean.Expr.constructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L135-L152","name":"Lean.Expr.constructorApp?","line":135,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.constructorApp?","doc":"If `e` is a constructor application, return a pair containing the corresponding `ConstructorVal` and the constructor\napplication arguments.\nThis function treats numerals as constructors. For example, if `e` is the numeral `2`, the result pair\nis `ConstructorVal` for `Nat.succ`, and the array `#[1]`. The parameter `useRaw` controls how the resulting\nnumeral is represented. If `useRaw := false`, then `mkNatLit` is used, otherwise `mkRawNatLit`.\nRecall that `mkNatLit` uses the `OfNat.ofNat` application which is the canonical way of representing numerals\nin the elaborator and tactic framework. We `useRaw := false` in the compiler (aka code generator).\n"},"Lean.Expr.constName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1049-L1051","name":"Lean.Expr.constName?","line":1049,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName?","doc":""},"Lean.Expr.constName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1045-L1047","name":"Lean.Expr.constName!","line":1045,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName!","doc":""},"Lean.Expr.constLevels!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1053-L1055","name":"Lean.Expr.constLevels!","line":1053,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constLevels!","doc":""},"Lean.Expr.const?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L11-L14","name":"Lean.Expr.const?","line":11,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.const?","doc":""},"Lean.Expr.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L352-L358","name":"Lean.Expr.const","line":352,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.const","doc":"A (universe polymorphic) constant that has been defined earlier in the module or\nby another imported module. For example, `@Eq.{1}` is represented\nas ``Expr.const `Eq [.succ .zero]``, and `@Array.map.{0, 0}` is represented\nas ``Expr.const `Array.map [.zero, .zero]``.\n"},"Lean.Expr.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/CollectMVars.lean#L38-L39","name":"Lean.Expr.collectMVars","line":38,"kind":"def","docLink":"./Lean/Util/CollectMVars.html#Lean.Expr.collectMVars","doc":""},"Lean.Expr.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/CollectFVars.lean#L13-L15","name":"Lean.Expr.collectFVars","line":13,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Expr.collectFVars","doc":""},"Lean.Expr.cleanupAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1440-L1442","name":"Lean.Expr.cleanupAnnotations","line":1440,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.cleanupAnnotations","doc":"Remove metadata annotations and `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `cleanupAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `cleanupAnnotations e = e`.\n"},"Lean.Expr.bvarIdx!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1057-L1059","name":"Lean.Expr.bvarIdx!","line":1057,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bvarIdx!","doc":""},"Lean.Expr.bvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L297-L319","name":"Lean.Expr.bvar","line":297,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.bvar","doc":"The `bvar` constructor represents bound variables, i.e. occurrences\nof a variable in the expression where there is a variable binder\nabove it (i.e. introduced by a `lam`, `forallE`, or `letE`).\n\nThe `deBruijnIndex` parameter is the *de-Bruijn* index for the bound\nvariable. See [here](https://en.wikipedia.org/wiki/De_Bruijn_index)\nfor additional information on de-Bruijn indexes.\n\nFor example, consider the expression `fun x : Nat => forall y : Nat, x = y`.\nThe `x` and `y` variables in the equality expression are constructed\nusing `bvar` and bound to the binders introduced by the earlier\n`lam` and `forallE` constructors. Here is the corresponding `Expr` representation\nfor the same expression:\n```lean\n.lam `x (.const `Nat [])\n (.forallE `y (.const `Nat [])\n (.app (.app (.app (.const `Eq [.succ .zero]) (.const `Nat [])) (.bvar 1)) (.bvar 0))\n .default)\n .default\n```\n"},"Lean.Expr.bindingName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1069-L1072","name":"Lean.Expr.bindingName!","line":1069,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingName!","doc":""},"Lean.Expr.bindingInfo!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1084-L1087","name":"Lean.Expr.bindingInfo!","line":1084,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingInfo!","doc":""},"Lean.Expr.bindingDomain!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1074-L1077","name":"Lean.Expr.bindingDomain!","line":1074,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingDomain!","doc":""},"Lean.Expr.bindingBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1079-L1082","name":"Lean.Expr.bindingBody!","line":1079,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingBody!","doc":""},"Lean.Expr.binderInfoEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L603-L603","name":"Lean.Expr.binderInfoEx","line":603,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfoEx","doc":""},"Lean.Expr.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L587-L591","name":"Lean.Expr.binderInfo","line":587,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfo","doc":"Return the binder information if `e` is a lambda or forall expression, and `.default` otherwise.\n"},"Lean.Expr.betaRev.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1303-L1325","name":"Lean.Expr.betaRev.go","line":1303,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.betaRev.go","doc":""},"Lean.Expr.betaRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1299-L1326","name":"Lean.Expr.betaRev","line":1299,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.betaRev","doc":"If `f` is a lambda expression, than \"beta-reduce\" it using `revArgs`.\nThis function is often used with `getAppRev` or `withAppRev`.\nExamples:\n- `betaRev (fun x y => t x y) #[]` ==> `fun x y => t x y`\n- `betaRev (fun x y => t x y) #[a]` ==> `fun y => t a y`\n- `betaRev (fun x y => t x y) #[a, b]` ==> `t b a`\n- `betaRev (fun x y => t x y) #[a, b, c, d]` ==> `t d c b a`\nSuppose `t` is `(fun x y => t x y) a b c d`, then\n`args := t.getAppRev` is `#[d, c, b, a]`,\nand `betaRev (fun x y => t x y) #[d, c, b, a]` is `t a b c d`.\n\nIf `useZeta` is true, the function also performs zeta-reduction (reduction of let binders) to create further\nopportunities for beta reduction.\n"},"Lean.Expr.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1332-L1333","name":"Lean.Expr.beta","line":1332,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.beta","doc":"Apply the given arguments to `f`, beta-reducing if `f` is a\nlambda expression. See docstring for `betaRev` for examples.\n"},"Lean.Expr.arrow?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L72-L74","name":"Lean.Expr.arrow?","line":72,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrow?","doc":""},"Lean.Expr.arrayLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Util/Recognizers.lean#L98-L102","name":"Lean.Expr.arrayLit?","line":98,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrayLit?","doc":""},"Lean.Expr.approxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L572-L573","name":"Lean.Expr.approxDepth","line":572,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.approxDepth","doc":"Return the approximated depth of an expression. This information is used to compute\nthe expression hash code, and speedup comparisons.\nThis is a constant time operation. 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"},"Lean.Expr.abstractM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Meta/Basic.lean#L730-L731","name":"Lean.Expr.abstractM","line":730,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractM","doc":"Replace free (or meta) variables `xs` with loose bound variables.\nSimilar to `Expr.abstract`, but handles metavariables correctly.\n"},"Lean.Expr.abstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Expr.lean#L1203-L1203","name":"Lean.Expr.abstract","line":1203,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstract","doc":"Replace free (or meta) variables `xs` with loose bound variables. 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"},"Lean.EnvExtensionEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L53-L53","name":"Lean.EnvExtensionEntry","line":53,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtensionEntry","doc":""},"Lean.EnvExtension.setState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L365-L365","name":"Lean.EnvExtension.setState","line":365,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.setState","doc":""},"Lean.EnvExtension.modifyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L366-L366","name":"Lean.EnvExtension.modifyState","line":366,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.modifyState","doc":""},"Lean.EnvExtension.instInhabitedEnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L364-L364","name":"Lean.EnvExtension.instInhabitedEnvExtension","line":364,"kind":"instance","docLink":"./Lean/Environment.html#Lean.EnvExtension.instInhabitedEnvExtension","doc":""},"Lean.EnvExtension.getState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L367-L367","name":"Lean.EnvExtension.getState","line":367,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.getState","doc":""},"Lean.EnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Environment.lean#L358-L358","name":"Lean.EnvExtension","line":358,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension","doc":""},"Lean.EnumAttributes.setValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L286-L292","name":"Lean.EnumAttributes.setValue","line":286,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.setValue","doc":""},"Lean.EnumAttributes.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L239-L239","name":"Lean.EnumAttributes.mk","line":239,"kind":"ctor","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.mk","doc":""},"Lean.EnumAttributes.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L278-L284","name":"Lean.EnumAttributes.getValue","line":278,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.getValue","doc":""},"Lean.EnumAttributes.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L241-L241","name":"Lean.EnumAttributes.ext","line":241,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.ext","doc":""},"Lean.EnumAttributes.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L240-L240","name":"Lean.EnumAttributes.attrs","line":240,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.attrs","doc":""},"Lean.EnumAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Attributes.lean#L239-L242","name":"Lean.EnumAttributes","line":239,"kind":"structure","docLink":"./Lean/Attributes.html#Lean.EnumAttributes","doc":"Given a list `[a₁, ..., a_n]` of elements of type `α`, `EnumAttributes` provides an attribute `Attr_i` for\nassociating a value `a_i` with an declaration. `α` is usually an enumeration type.\nNote that whenever we register an `EnumAttributes`, we create `n` attributes, but only one environment extension. "},"Lean.Elab.withoutModifyingStateWithInfoAndMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1714-L1715","name":"Lean.Elab.withoutModifyingStateWithInfoAndMessages","line":1714,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.withoutModifyingStateWithInfoAndMessages","doc":""},"Lean.Elab.withSaveInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L314-L324","name":"Lean.Elab.withSaveInfoContext","line":314,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withSaveInfoContext","doc":"Resets the trees state `t₀`, runs `x` to produce a new trees\nstate `t₁` and sets the state to be `t₀ ++ (InfoTree.context Γ <$> t₁)`\nwhere `Γ` is the context derived from the monad state. "},"Lean.Elab.withMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L334-L340","name":"Lean.Elab.withMacroExpansionInfo","line":334,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withMacroExpansionInfo","doc":""},"Lean.Elab.withLogging":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L207-L209","name":"Lean.Elab.withLogging","line":207,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.withLogging","doc":""},"Lean.Elab.withInfoTreeContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L297-L305","name":"Lean.Elab.withInfoTreeContext","line":297,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoTreeContext","doc":"Saves the current list of trees `t₀`, runs `x` to produce a new tree list `t₁` and\nruns `mkInfoTree t₁` to get `n : InfoTree` and then restores the trees to be `t₀ ++ [n]`."},"Lean.Elab.withInfoHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L342-L352","name":"Lean.Elab.withInfoHole","line":342,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoHole","doc":""},"Lean.Elab.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L280-L293","name":"Lean.Elab.withInfoContext'","line":280,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext'","doc":"Use this to descend a node on the infotree that is being built.\n\nIt saves the current list of trees `t₀` and resets it and then runs `x >>= mkInfo`, producing either an `i : Info` or a hole id.\nRunning `x >>= mkInfo` will modify the trees state and produce a new list of trees `t₁`.\nIn the `i : Info` case, `t₁` become the children of a node `node i t₁` that is appended to `t₀`.\n "},"Lean.Elab.withInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L308-L309","name":"Lean.Elab.withInfoContext","line":308,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext","doc":"Run `x` as a new child infotree node with header given by `mkInfo`. "},"Lean.Elab.withEnableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L357-L363","name":"Lean.Elab.withEnableInfoTree","line":357,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withEnableInfoTree","doc":""},"Lean.Elab.withCommonTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L48-L55","name":"Lean.Elab.withCommonTelescope.go","line":48,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope.go","doc":""},"Lean.Elab.withCommonTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L45-L55","name":"Lean.Elab.withCommonTelescope","line":45,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope","doc":""},"Lean.Elab.wfRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Main.lean#L81-L113","name":"Lean.Elab.wfRecursion","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.wfRecursion","doc":""},"Lean.Elab.unsupportedSyntaxExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L12-L12","name":"Lean.Elab.unsupportedSyntaxExceptionId","line":12,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.unsupportedSyntaxExceptionId","doc":""},"Lean.Elab.toAttributeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L28-L36","name":"Lean.Elab.toAttributeKind","line":28,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.toAttributeKind","doc":"```\nattrKind := leading_parser optional («scoped» <|> «local»)\n```\n"},"Lean.Elab.throwUnsupportedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L21-L22","name":"Lean.Elab.throwUnsupportedSyntax","line":21,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwUnsupportedSyntax","doc":""},"Lean.Elab.throwPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L18-L19","name":"Lean.Elab.throwPostpone","line":18,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwPostpone","doc":""},"Lean.Elab.throwIllFormedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L24-L25","name":"Lean.Elab.throwIllFormedSyntax","line":24,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwIllFormedSyntax","doc":""},"Lean.Elab.throwErrorWithNestedErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L222-L223","name":"Lean.Elab.throwErrorWithNestedErrors","line":222,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.throwErrorWithNestedErrors","doc":""},"Lean.Elab.throwAutoBoundImplicitLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L27-L28","name":"Lean.Elab.throwAutoBoundImplicitLocal","line":27,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAutoBoundImplicitLocal","doc":""},"Lean.Elab.throwAlreadyDeclaredUniverseLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L39-L40","name":"Lean.Elab.throwAlreadyDeclaredUniverseLevel","line":39,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAlreadyDeclaredUniverseLevel","doc":""},"Lean.Elab.throwAbortTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L47-L48","name":"Lean.Elab.throwAbortTerm","line":47,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTerm","doc":""},"Lean.Elab.throwAbortTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L51-L52","name":"Lean.Elab.throwAbortTactic","line":51,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTactic","doc":""},"Lean.Elab.throwAbortCommand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L43-L44","name":"Lean.Elab.throwAbortCommand","line":43,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortCommand","doc":""},"Lean.Elab.syntaxNodeKindOfAttrParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L80-L86","name":"Lean.Elab.syntaxNodeKindOfAttrParam","line":80,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.syntaxNodeKindOfAttrParam","doc":""},"Lean.Elab.sortDeclLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L75-L82","name":"Lean.Elab.sortDeclLevelParams","line":75,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.sortDeclLevelParams","doc":"Sort the given list of `usedParams` using the following order:\n- If it is an explicit level `allUserParams`, then use user given order.\n- Otherwise, use lexicographical.\n\nRemark: `scopeParams` are the universe params introduced using the `universe` command. `allUserParams` contains\nthe universe params introduced using the `universe` command *and* the `.{...}` notation.\n\nRemark: this function return an exception if there is an `u` not in `usedParams`, that is in `allUserParams` but not in `scopeParams`.\n\nRemark: `explicitParams` are in reverse declaration order. That is, the head is the last declared parameter. "},"Lean.Elab.setInfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L207-L208","name":"Lean.Elab.setInfoState","line":207,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.setInfoState","doc":""},"Lean.Elab.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Meta.lean#L13-L17","name":"Lean.Elab.runTactic","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Meta.html#Lean.Elab.runTactic","doc":"Apply the give tactic code to `mvarId` in `MetaM`. "},"Lean.Elab.runFrontend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Frontend.lean#L95-L123","name":"Lean.Elab.runFrontend","line":95,"kind":"def","docLink":"./Lean/Elab/Frontend.html#Lean.Elab.runFrontend","doc":""},"Lean.Elab.resolveGlobalNameWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L266-L272","name":"Lean.Elab.resolveGlobalNameWithInfos","line":266,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalNameWithInfos","doc":"Similar to `resolveGlobalName`, but it also adds the resolved name to the info tree. "},"Lean.Elab.resolveGlobalConstWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L257-L263","name":"Lean.Elab.resolveGlobalConstWithInfos","line":257,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstWithInfos","doc":"Similar to `resolveGlobalConstNoOverloadWithInfo`, except if there are multiple name resolutions then it returns them as a list. "},"Lean.Elab.resolveGlobalConstNoOverloadWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L248-L254","name":"Lean.Elab.resolveGlobalConstNoOverloadWithInfo","line":248,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstNoOverloadWithInfo","doc":"This does the same job as `resolveGlobalConstNoOverload`; resolving an identifier\nsyntax to a unique fully resolved name or throwing if there are ambiguities.\nBut also adds this resolved name to the infotree. 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`Macro.Exception.unsupportedSyntax`.\n"},"Lean.Elab.expandDeclSig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclUtil.lean#L50-L54","name":"Lean.Elab.expandDeclSig","line":50,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.expandDeclSig","doc":""},"Lean.Elab.expandDeclIdCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L210-L216","name":"Lean.Elab.expandDeclIdCore","line":210,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclIdCore","doc":"`declId` is of the form\n```\nleading_parser ident >> optional (\".{\" >> sepBy1 ident \", \" >> \"}\")\n```\nbut we also accept a single identifier to users to make macro writing more convenient .\n"},"Lean.Elab.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L237-L254","name":"Lean.Elab.expandDeclId","line":237,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclId","doc":"Given a declaration identifier (e.g., `ident (\".{\" ident,+ \"}\")?`) that may contain explicit universe parameters\n- Ensure the new universe parameters do not shadow universe parameters declared using `universe` command.\n- Create the fully qualified named for the declaration using the current namespace, and given `modifiers`\n- Create a short version for recursively referring to the declaration. Recall that the `protected` modifier affects the generation of the short name.\n\nThe result also contains the universe parameters provided using `universe` command, and the `.{...}` notation.\n\nThis commands also stores the doc string stored in `modifiers`.\n"},"Lean.Elab.evalSyntaxConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L92-L92","name":"Lean.Elab.evalSyntaxConstant","line":92,"kind":"opaque","docLink":"./Lean/Elab/Util.html#Lean.Elab.evalSyntaxConstant","doc":""},"Lean.Elab.eraseRecAppSyntaxExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L136-L137","name":"Lean.Elab.eraseRecAppSyntaxExpr","line":136,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntaxExpr","doc":"Eliminate recursive application annotations containing syntax. These annotations are used by the well-founded recursion module\nto produce better error messages. "},"Lean.Elab.eraseRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L139-L140","name":"Lean.Elab.eraseRecAppSyntax","line":139,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntax","doc":""},"Lean.Elab.ensureNoRecFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L181-L188","name":"Lean.Elab.ensureNoRecFn","line":181,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.ensureNoRecFn","doc":""},"Lean.Elab.enableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L354-L355","name":"Lean.Elab.enableInfoTree","line":354,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.enableInfoTree","doc":""},"Lean.Elab.elabSetOption.setOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SetOption.lean#L21-L23","name":"Lean.Elab.elabSetOption.setOption","line":21,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption.setOption","doc":""},"Lean.Elab.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SetOption.lean#L13-L34","name":"Lean.Elab.elabSetOption","line":13,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption","doc":""},"Lean.Elab.elabModifiers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L117-L147","name":"Lean.Elab.elabModifiers","line":117,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.elabModifiers","doc":"Elaborate declaration modifiers (i.e., attributes, `partial`, `private`, `proctected`, `unsafe`, `noncomputable`, doc string)"},"Lean.Elab.elabDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L100-L113","name":"Lean.Elab.elabDeriving","line":100,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.elabDeriving","doc":""},"Lean.Elab.elabDeclAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L67-L68","name":"Lean.Elab.elabDeclAttrs","line":67,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabDeclAttrs","doc":""},"Lean.Elab.elabAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L57-L64","name":"Lean.Elab.elabAttrs","line":57,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttrs","doc":""},"Lean.Elab.elabAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Attributes.lean#L41-L55","name":"Lean.Elab.elabAttr","line":41,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttr","doc":""},"Lean.Elab.derivingHandlersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L66-L66","name":"Lean.Elab.derivingHandlersRef","line":66,"kind":"opaque","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.derivingHandlersRef","doc":""},"Lean.Elab.defaultHandler":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L84-L85","name":"Lean.Elab.defaultHandler","line":84,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.defaultHandler","doc":""},"Lean.Elab.checkSyntaxNodeKindAtNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L71-L74","name":"Lean.Elab.checkSyntaxNodeKindAtNamespaces","line":71,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L76-L78","name":"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","line":76,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L67-L69","name":"Lean.Elab.checkSyntaxNodeKind","line":67,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKind","doc":""},"Lean.Elab.checkNotAlreadyDeclared":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L16-L37","name":"Lean.Elab.checkNotAlreadyDeclared","line":16,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkNotAlreadyDeclared","doc":"Ensure the environment does not contain a declaration with name `declName`.\nRecall that a private declaration cannot shadow a non-private one and vice-versa, although\nthey internally have different names.\n"},"Lean.Elab.checkIfShadowingStructureField":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L168-L176","name":"Lean.Elab.checkIfShadowingStructureField","line":168,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkIfShadowingStructureField","doc":""},"Lean.Elab.autoImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/AutoBound.lean#L12-L15","name":"Lean.Elab.autoImplicit","line":12,"kind":"opaque","docLink":"./Lean/Elab/AutoBound.html#Lean.Elab.autoImplicit","doc":""},"Lean.Elab.autoBoundImplicitExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L16-L16","name":"Lean.Elab.autoBoundImplicitExceptionId","line":16,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.autoBoundImplicitExceptionId","doc":""},"Lean.Elab.assignInfoHoleId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L329-L331","name":"Lean.Elab.assignInfoHoleId","line":329,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.assignInfoHoleId","doc":""},"Lean.Elab.applyVisibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclModifiers.lean#L154-L166","name":"Lean.Elab.applyVisibility","line":154,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.applyVisibility","doc":"Ensure the function has not already been declared, and apply the given visibility setting to `declName`.\nIf `private`, return the updated name using our internal encoding for private names.\nIf `protected`, register `declName` as protected in the environment.\n"},"Lean.Elab.applyDerivingHandlers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L87-L94","name":"Lean.Elab.applyDerivingHandlers","line":87,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.applyDerivingHandlers","doc":""},"Lean.Elab.applyAttributesOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L61-L63","name":"Lean.Elab.applyAttributesOf","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.applyAttributesOf","doc":""},"Lean.Elab.admitGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L12-L15","name":"Lean.Elab.admitGoal","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.admitGoal","doc":"Assign `mvarId := sorry` "},"Lean.Elab.addPreDefinitions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L97-L164","name":"Lean.Elab.addPreDefinitions","line":97,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.addPreDefinitions","doc":""},"Lean.Elab.addNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L130-L131","name":"Lean.Elab.addNonRec","line":130,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addNonRec","doc":""},"Lean.Elab.addMacroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L56-L65","name":"Lean.Elab.addMacroStack","line":56,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.addMacroStack","doc":""},"Lean.Elab.addDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclarationRange.lean#L54-L61","name":"Lean.Elab.addDeclarationRanges","line":54,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addDeclarationRanges","doc":"Store the `range` and `selectionRange` for `declName` where `stx` is the whole syntax object decribing `declName`.\nThis method is for the builtin declarations only.\nUser-defined commands should use `Lean.addDeclarationRanges` to store this information for their commands. "},"Lean.Elab.addConstInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L234-L242","name":"Lean.Elab.addConstInfo","line":234,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addConstInfo","doc":""},"Lean.Elab.addCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L231-L232","name":"Lean.Elab.addCompletionInfo","line":231,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addCompletionInfo","doc":""},"Lean.Elab.addAuxDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/DeclarationRange.lean#L64-L68","name":"Lean.Elab.addAuxDeclarationRanges","line":64,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addAuxDeclarationRanges","doc":"Auxiliary method for recording ranges for auxiliary declarations (e.g., fields, nested declarations, etc. "},"Lean.Elab.addAsAxiom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L73-L75","name":"Lean.Elab.addAsAxiom","line":73,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAsAxiom","doc":"Auxiliary method for (temporarily) adding pre definition as an axiom "},"Lean.Elab.addAndCompileUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L142-L161","name":"Lean.Elab.addAndCompileUnsafe","line":142,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileUnsafe","doc":""},"Lean.Elab.addAndCompilePartialRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L163-L176","name":"Lean.Elab.addAndCompilePartialRec","line":163,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompilePartialRec","doc":""},"Lean.Elab.addAndCompileNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L127-L128","name":"Lean.Elab.addAndCompileNonRec","line":127,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileNonRec","doc":""},"Lean.Elab.adaptMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Util.lean#L183-L184","name":"Lean.Elab.adaptMacro","line":183,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.adaptMacro","doc":""},"Lean.Elab.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Basic.lean#L65-L70","name":"Lean.Elab.abstractNestedProofs","line":65,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.abstractNestedProofs","doc":""},"Lean.Elab.abortTermExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L14-L14","name":"Lean.Elab.abortTermExceptionId","line":14,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTermExceptionId","doc":""},"Lean.Elab.abortTacticExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L15-L15","name":"Lean.Elab.abortTacticExceptionId","line":15,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTacticExceptionId","doc":""},"Lean.Elab.abortCommandExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Exception.lean#L13-L13","name":"Lean.Elab.abortCommandExceptionId","line":13,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortCommandExceptionId","doc":""},"Lean.Elab.WF.withFixedPrefix.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L126-L131","name":"Lean.Elab.WF.withFixedPrefix.go","line":126,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix.go","doc":""},"Lean.Elab.WF.withFixedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L123-L131","name":"Lean.Elab.WF.withFixedPrefix","line":123,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix","doc":""},"Lean.Elab.WF.simpMatchWF?.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L112-L127","name":"Lean.Elab.WF.simpMatchWF?.pre","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?.pre","doc":""},"Lean.Elab.WF.simpMatchWF?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L105-L127","name":"Lean.Elab.WF.simpMatchWF?","line":105,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?","doc":"Simplify `match`-expressions when trying to prove equation theorems for a recursive declaration defined using well-founded recursion.\nIt is similar to `simpMatch?`, but is also tries to fold `WellFounded.fix` applications occurring in discriminants.\nSee comment at `tryToFoldWellFoundedFix`.\n"},"Lean.Elab.WF.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L211-L222","name":"Lean.Elab.WF.registerEqnsInfo","line":211,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.registerEqnsInfo","doc":""},"Lean.Elab.WF.packMutual":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L174-L188","name":"Lean.Elab.WF.packMutual","line":174,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.packMutual","doc":"If `preDefs.size > 1`, combine different functions in a single one using `PSum`.\nThis method assumes all `preDefs` have arity 1, and have already been processed using `packDomain`.\nHere is a small example. Suppose the input is\n```\nf x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (g ⟨x.1, n, a, b⟩).fst\ng x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (h ⟨x.1, n, a, b⟩, a)\nh x =>\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b => f ⟨x.1, n, a, b⟩\n```\nthis method produces the following pre definition\n```\nf._mutual x :=\n PSum.casesOn x\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inl ⟨val.1, n, a, b⟩))).fst\n fun val =>\n PSum.casesOn val\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inr ⟨val.1, n, a, b⟩)), a)\n fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b =>\n f._mutual (PSum.inl ⟨val.1, n, a, b⟩)\n```\n\nRemark: `preDefsOriginal` is used for error reporting, it contains the definitions before applying `packDomain`.\n"},"Lean.Elab.WF.packDomain.packApplications.visitApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L148-L173","name":"Lean.Elab.WF.packDomain.packApplications.visitApp","line":148,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visitApp","doc":""},"Lean.Elab.WF.packDomain.packApplications.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L131-L147","name":"Lean.Elab.WF.packDomain.packApplications.visit","line":131,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visit","doc":""},"Lean.Elab.WF.packDomain.packApplications":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L121-L174","name":"Lean.Elab.WF.packDomain.packApplications","line":121,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications","doc":""},"Lean.Elab.WF.packDomain.isAppOfPreDef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L116-L119","name":"Lean.Elab.WF.packDomain.isAppOfPreDef?","line":116,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.isAppOfPreDef?","doc":"Return `some i` if `e` is a `preDefs[i]` application "},"Lean.Elab.WF.packDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L61-L174","name":"Lean.Elab.WF.packDomain","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain","doc":"Convert the given pre-definitions into unary functions.\nWe \"pack\" the arguments using `PSigma`.\n"},"Lean.Elab.WF.mkUnaryArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L29-L41","name":"Lean.Elab.WF.mkUnaryArg.go","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg.go","doc":""},"Lean.Elab.WF.mkUnaryArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L26-L41","name":"Lean.Elab.WF.mkUnaryArg","line":26,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg","doc":"Create a unary application by packing the given arguments using `PSigma.mk` "},"Lean.Elab.WF.mkFix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Fix.lean#L166-L189","name":"Lean.Elab.WF.mkFix","line":166,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Fix.html#Lean.Elab.WF.mkFix","doc":""},"Lean.Elab.WF.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L187-L207","name":"Lean.Elab.WF.mkEqns","line":187,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.mkEqns","doc":""},"Lean.Elab.WF.instInhabitedTerminationHintValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L15-L15","name":"Lean.Elab.WF.instInhabitedTerminationHintValue","line":15,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHintValue","doc":""},"Lean.Elab.WF.instInhabitedTerminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L21-L21","name":"Lean.Elab.WF.instInhabitedTerminationHint","line":21,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHint","doc":""},"Lean.Elab.WF.instInhabitedTerminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L84-L84","name":"Lean.Elab.WF.instInhabitedTerminationByElement","line":84,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationByElement","doc":""},"Lean.Elab.WF.instInhabitedTerminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L93-L93","name":"Lean.Elab.WF.instInhabitedTerminationBy","line":93,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationBy","doc":""},"Lean.Elab.WF.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L19-L19","name":"Lean.Elab.WF.instInhabitedEqnInfo","line":19,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.instInhabitedEqnInfo","doc":""},"Lean.Elab.WF.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L230-L232","name":"Lean.Elab.WF.getUnfoldFor?","line":230,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.getUnfoldFor?","doc":""},"Lean.Elab.WF.getNumCandidateArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Rel.lean#L56-L59","name":"Lean.Elab.WF.getNumCandidateArgs","line":56,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getNumCandidateArgs","doc":""},"Lean.Elab.WF.getForbiddenByTrivialSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/WF/Rel.lean#L68-L78","name":"Lean.Elab.WF.getForbiddenByTrivialSizeOf","line":68,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getForbiddenByTrivialSizeOf","doc":"Given a predefinition with value `fun (x_₁ ... xₙ) (y_₁ : α₁)... (yₘ : αₘ) => ...`,\nwhere `n = fixedPrefixSize`, return an array `A` s.t. `i ∈ A` iff `sizeOf yᵢ` reduces to a literal.\nThis is the case for types such as `Prop`, `Type u`, etc.\nThis arguments should not be considered when guessing a well-founded relation.\nSee 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"},"Lean.Elab.UserWidgetInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.UserWidgetInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo.mk","doc":""},"Lean.Elab.UserWidgetInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L144-L145","name":"Lean.Elab.UserWidgetInfo.format","line":144,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.UserWidgetInfo.format","doc":""},"Lean.Elab.UserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L102-L108","name":"Lean.Elab.UserWidgetInfo","line":102,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo","doc":"An info that represents a user-widget.\nUser-widgets are custom pieces of code that run on the editor client.\nYou can learn about user widgets at `src/Lean/Widget/UserWidget`\n"},"Lean.Elab.TerminationHints.terminationBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L17-L17","name":"Lean.Elab.TerminationHints.terminationBy?","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.terminationBy?","doc":""},"Lean.Elab.TerminationHints.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L1-L1","name":"Lean.Elab.TerminationHints.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.mk","doc":""},"Lean.Elab.TerminationHints.decreasingBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L18-L18","name":"Lean.Elab.TerminationHints.decreasingBy?","line":18,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.decreasingBy?","doc":""},"Lean.Elab.TerminationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Main.lean#L16-L19","name":"Lean.Elab.TerminationHints","line":16,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints","doc":""},"Lean.Elab.TermInfo.runMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L99-L100","name":"Lean.Elab.TermInfo.runMetaM","line":99,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.runMetaM","doc":""},"Lean.Elab.TermInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TermInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.mk","doc":""},"Lean.Elab.TermInfo.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L37-L37","name":"Lean.Elab.TermInfo.lctx","line":37,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.lctx","doc":""},"Lean.Elab.TermInfo.isBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L40-L40","name":"Lean.Elab.TermInfo.isBinder","line":40,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.isBinder","doc":""},"Lean.Elab.TermInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L102-L108","name":"Lean.Elab.TermInfo.format","line":102,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.format","doc":""},"Lean.Elab.TermInfo.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L39-L39","name":"Lean.Elab.TermInfo.expr","line":39,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expr","doc":""},"Lean.Elab.TermInfo.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L38-L38","name":"Lean.Elab.TermInfo.expectedType?","line":38,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expectedType?","doc":""},"Lean.Elab.TermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L36-L41","name":"Lean.Elab.TermInfo","line":36,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo","doc":""},"Lean.Elab.Term.withoutSavingRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L358-L359","name":"Lean.Elab.Term.withoutSavingRecAppSyntax","line":358,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutSavingRecAppSyntax","doc":"Execute `x` without storing `Syntax` for recursive applications. See `saveRecAppSyntax` field at `Context`.\n"},"Lean.Elab.Term.withoutPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L576-L577","name":"Lean.Elab.Term.withoutPostponing","line":576,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutPostponing","doc":"Execute `x` without allowing it to postpone elaboration tasks.\nThat is, `tryPostpone` is a noop. "},"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L335-L342","name":"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","line":335,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","doc":"Execute `x` but discard changes performed at `Term.State` and `Meta.State`.\nRecall that the `Environment` and `InfoState` are at `Core.State`. Thus, any updates to it will\nbe preserved. This method is useful for performing computations where all\nmetavariable must be resolved or discarded.\nThe `InfoTree`s are not discarded, however, and wrapped in `InfoTree.Context`\nto store their metavariable context. "},"Lean.Elab.Term.withoutMacroStackAtErr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L668-L669","name":"Lean.Elab.Term.withoutMacroStackAtErr","line":668,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutMacroStackAtErr","doc":""},"Lean.Elab.Term.withoutErrToSorryImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L424-L425","name":"Lean.Elab.Term.withoutErrToSorryImp","line":424,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorryImp","doc":""},"Lean.Elab.Term.withoutErrToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L431-L432","name":"Lean.Elab.Term.withoutErrToSorry","line":431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorry","doc":"Execute `x` without converting errors (i.e., exceptions) to `sorry` applications.\nRecall that when `errToSorry = true`, the method `elabTerm` catches exceptions and converts them into `sorry` applications.\n"},"Lean.Elab.Term.withoutAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1494-L1495","name":"Lean.Elab.Term.withoutAutoBoundImplicit","line":1494,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutAutoBoundImplicit","doc":""},"Lean.Elab.Term.withSynthesizeLight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L467-L468","name":"Lean.Elab.Term.withSynthesizeLight","line":467,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesizeLight","doc":"Similar to `withSynthesize`, but sets `mayPostpone` to `true`, and do not use `synthesizeUsingDefault` "},"Lean.Elab.Term.withSynthesize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L463-L464","name":"Lean.Elab.Term.withSynthesize","line":463,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesize","doc":"Execute `k`, and synthesize pending synthetic metavariables created while executing `k` are solved.\nIf `mayPostpone == false`, then all of them must be synthesized.\nRemark: even if `mayPostpone == true`, the method still uses `synthesizeUsingDefault` "},"Lean.Elab.Term.withSavedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L866-L869","name":"Lean.Elab.Term.withSavedContext","line":866,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withSavedContext","doc":"Execute `x` with the context saved using `saveContext`.\n"},"Lean.Elab.Term.withPushMacroExpansionStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L460-L461","name":"Lean.Elab.Term.withPushMacroExpansionStack","line":460,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withPushMacroExpansionStack","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Term.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L464-L466","name":"Lean.Elab.Term.withMacroExpansion","line":464,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack and produce macro expansion info "},"Lean.Elab.Term.withLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L410-L413","name":"Lean.Elab.Term.withLevelNames","line":410,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withLevelNames","doc":"Execute `x` using `levelNames` as the universe level parameter names. See `getLevelNames`. "},"Lean.Elab.Term.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L964-L969","name":"Lean.Elab.Term.withInfoContext'","line":964,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withInfoContext'","doc":""},"Lean.Elab.Term.withDepElimPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L720-L721","name":"Lean.Elab.Term.withDepElimPatterns","line":720,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.withDepElimPatterns","doc":""},"Lean.Elab.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L402-L403","name":"Lean.Elab.Term.withDeclName","line":402,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withDeclName","doc":"Execute `x` with `declName? := name`. See `getDeclName?`. "},"Lean.Elab.Term.withAuxDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L419-L422","name":"Lean.Elab.Term.withAuxDecl","line":419,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAuxDecl","doc":"Declare an auxiliary local declaration `shortDeclName : type` for elaborating recursive declaration `declName`,\nupdate the mapping `auxDeclToFullName`, and then execute `k`.\n"},"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1497-L1498","name":"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","line":1497,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","doc":""},"Lean.Elab.Term.withAutoBoundImplicit.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1478-L1489","name":"Lean.Elab.Term.withAutoBoundImplicit.loop","line":1478,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit.loop","doc":""},"Lean.Elab.Term.withAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1474-L1492","name":"Lean.Elab.Term.withAutoBoundImplicit","line":1474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit","doc":"Enable auto-bound implicits, and execute `k` while catching auto bound implicit exceptions. When an exception is caught,\na new local declaration is created, registered, and `k` is tried to be executed again. "},"Lean.Elab.Term.universeConstraintsCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1684-L1687","name":"Lean.Elab.Term.universeConstraintsCheckpoint","line":1684,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.universeConstraintsCheckpoint","doc":"Execute `x` and then tries to solve pending universe constraints.\nNote that, stuck constraints will not be discarded.\n"},"Lean.Elab.Term.tryPostponeIfNoneOrMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L823-L826","name":"Lean.Elab.Term.tryPostponeIfNoneOrMVar","line":823,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfNoneOrMVar","doc":"If `e? = some e`, then `tryPostponeIfMVar e`, otherwise it is just `tryPostpone`. "},"Lean.Elab.Term.tryPostponeIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L818-L820","name":"Lean.Elab.Term.tryPostponeIfMVar","line":818,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfMVar","doc":"If `mayPostpone == true` and `e`'s head is a metavariable, throw `Exception.postpone`. "},"Lean.Elab.Term.tryPostponeIfHasMVars?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L832-L839","name":"Lean.Elab.Term.tryPostponeIfHasMVars?","line":832,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars?","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIt is a noop if `mayPostpone == false`.\n"},"Lean.Elab.Term.tryPostponeIfHasMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L845-L848","name":"Lean.Elab.Term.tryPostponeIfHasMVars","line":845,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIf `mayPostpone == false`, it throws error `msg`.\n"},"Lean.Elab.Term.tryPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L809-L811","name":"Lean.Elab.Term.tryPostpone","line":809,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostpone","doc":"If `mayPostpone == true`, throw `Expection.postpone`. "},"Lean.Elab.Term.traceAtCmdPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L439-L440","name":"Lean.Elab.Term.traceAtCmdPos","line":439,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.traceAtCmdPos","doc":""},"Lean.Elab.Term.toParserDescr.processSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L138-L147","name":"Lean.Elab.Term.toParserDescr.processSeq","line":138,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSeq","doc":"Sequence (aka NullNode) "},"Lean.Elab.Term.toParserDescr.processSepBy1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L227-L232","name":"Lean.Elab.Term.toParserDescr.processSepBy1","line":227,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy1","doc":""},"Lean.Elab.Term.toParserDescr.processSepBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L220-L225","name":"Lean.Elab.Term.toParserDescr.processSepBy","line":220,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy","doc":""},"Lean.Elab.Term.toParserDescr.processParserCategory":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L153-L159","name":"Lean.Elab.Term.toParserDescr.processParserCategory","line":153,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processParserCategory","doc":""},"Lean.Elab.Term.toParserDescr.processNullaryOrCat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L193-L218","name":"Lean.Elab.Term.toParserDescr.processNullaryOrCat","line":193,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNullaryOrCat","doc":""},"Lean.Elab.Term.toParserDescr.processNonReserved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L254-L256","name":"Lean.Elab.Term.toParserDescr.processNonReserved","line":254,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNonReserved","doc":""},"Lean.Elab.Term.toParserDescr.processAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L241-L252","name":"Lean.Elab.Term.toParserDescr.processAtom","line":241,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAtom","doc":""},"Lean.Elab.Term.toParserDescr.processAlias":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L161-L191","name":"Lean.Elab.Term.toParserDescr.processAlias","line":161,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAlias","doc":""},"Lean.Elab.Term.toParserDescr.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L109-L135","name":"Lean.Elab.Term.toParserDescr.process","line":109,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.process","doc":""},"Lean.Elab.Term.toParserDescr.isValidAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L234-L239","name":"Lean.Elab.Term.toParserDescr.isValidAtom","line":234,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.isValidAtom","doc":""},"Lean.Elab.Term.toParserDescr.ensureNoPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L149-L151","name":"Lean.Elab.Term.toParserDescr.ensureNoPrec","line":149,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.ensureNoPrec","doc":""},"Lean.Elab.Term.toParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L103-L256","name":"Lean.Elab.Term.toParserDescr","line":103,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr","doc":"Given a `stx` of category `syntax`, return a `(newStx, lhsPrec?)`,\nwhere `newStx` is of category `term`. After elaboration, `newStx` should have type\n`TrailingParserDescr` if `lhsPrec?.isSome`, and `ParserDescr` otherwise. "},"Lean.Elab.Term.throwTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L647-L666","name":"Lean.Elab.Term.throwTypeMismatchError","line":647,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwTypeMismatchError","doc":""},"Lean.Elab.Term.throwMVarError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L502-L506","name":"Lean.Elab.Term.throwMVarError","line":502,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwMVarError","doc":"Auxiliary method for reporting errors of the form \"... contains metavariables ...\".\nThis kind of error is thrown, for example, at `Match.lean` where elaboration\ncannot continue if there are metavariables in patterns.\nWe only want to log it if we haven't logged any errors so far. "},"Lean.Elab.Term.throwInvalidNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L33-L36","name":"Lean.Elab.Term.throwInvalidNamedArg","line":33,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.throwInvalidNamedArg","doc":""},"Lean.Elab.Term.throwErrorIfErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L435-L437","name":"Lean.Elab.Term.throwErrorIfErrors","line":435,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwErrorIfErrors","doc":"For testing `TermElabM` methods. The #eval command will sign the error. "},"Lean.Elab.Term.termElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L367-L367","name":"Lean.Elab.Term.termElabAttribute","line":367,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.termElabAttribute","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L443-L445","name":"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","line":443,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L434-L435","name":"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","line":434,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L397-L428","name":"Lean.Elab.Term.synthesizeSyntheticMVars.loop","line":397,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars.loop","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L396-L431","name":"Lean.Elab.Term.synthesizeSyntheticMVars","line":396,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars","doc":"Try to process pending synthetic metavariables. If `mayPostpone == false`,\nthen `pendingMVars` is `[]` after executing this method.\n\nIt keeps executing `synthesizeSyntheticMVarsStep` while progress is being made.\nIf `mayPostpone == false`, then it applies default instances to `SyntheticMVarKind.typeClass` (if available)\nmetavariables that are still unresolved, and then tries to resolve metavariables\nwith `mayPostpone == false`. That is, we force them to produce error messages and/or commit to\na \"best option\". If, after that, we still haven't made progress, we report \"stuck\" errors.\n\nRemark: we set `ignoreStuckTC := true` when elaborating `simp` arguments. Then,\npending TC problems become implicit parameters for the simp theorem.\n"},"Lean.Elab.Term.synthesizeInstMVarCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L715-L759","name":"Lean.Elab.Term.synthesizeInstMVarCore","line":715,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.synthesizeInstMVarCore","doc":"Try to synthesize metavariable using type class resolution.\nThis method assumes the local context and local instances of `instMVar` coincide\nwith the current local context and local instances.\nReturn `true` if the instance was synthesized successfully, and `false` if\nthe instance contains unassigned metavariables that are blocking the type class\nresolution procedure. Throw an exception if resolution or assignment irrevocably fails.\n"},"Lean.Elab.Term.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L58-L62","name":"Lean.Elab.Term.synthesizeAppInstMVars","line":58,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.synthesizeAppInstMVars","doc":""},"Lean.Elab.Term.shouldExpandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L42-L44","name":"Lean.Elab.Term.shouldExpandMatchAlt","line":42,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.shouldExpandMatchAlt","doc":""},"Lean.Elab.Term.setLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L406-L407","name":"Lean.Elab.Term.setLevelNames","line":406,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.setLevelNames","doc":"Update the universe level parameter names. "},"Lean.Elab.Term.setElabConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Config.lean#L56-L57","name":"Lean.Elab.Term.setElabConfig","line":56,"kind":"def","docLink":"./Lean/Elab/Config.html#Lean.Elab.Term.setElabConfig","doc":"Set `isDefEq` configuration for the elaborator.\nNote that we enable all approximations but `quasiPatternApprox`\n\nIn Lean3 and Lean 4, we used to use the quasi-pattern approximation during elaboration.\nThe example:\n```\ndef ex : StateT δ (StateT σ Id) σ :=\nmonadLift (get : StateT σ Id σ)\n```\ndemonstrates why it produces counterintuitive behavior.\nWe have the `Monad-lift` application:\n```\n@monadLift ?m ?n ?c ?α (get : StateT σ id σ) : ?n ?α\n```\nIt produces the following unification problem when we process the expected type:\n```\n?n ?α =?= StateT δ (StateT σ id) σ\n==> (approximate using first-order unification)\n?n := StateT δ (StateT σ id)\n?α := σ\n```\nThen, we need to solve:\n```\n?m ?α =?= StateT σ id σ\n==> instantiate metavars\n?m σ =?= StateT σ id σ\n==> (approximate since it is a quasi-pattern unification constraint)\n?m := fun σ => StateT σ id σ\n```\nNote that the constraint is not a Milner pattern because σ is in\nthe local context of `?m`. We are ignoring the other possible solutions:\n```\n?m := fun σ' => StateT σ id σ\n?m := fun σ' => StateT σ' id σ\n?m := fun σ' => StateT σ id σ'\n```\n\nWe need the quasi-pattern approximation for elaborating recursor-like expressions (e.g., dependent `match with` expressions).\n\nIf we had use first-order unification, then we would have produced\nthe right answer: `?m := StateT σ id`\n\nHaskell would work on this example since it always uses\nfirst-order unification.\n"},"Lean.Elab.Term.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L246-L247","name":"Lean.Elab.Term.saveState","line":246,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveState","doc":""},"Lean.Elab.Term.saveContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L853-L861","name":"Lean.Elab.Term.saveContext","line":853,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveContext","doc":"Save relevant context for term elaboration postponement.\n"},"Lean.Elab.Term.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L295-L329","name":"Lean.Elab.Term.runTactic","line":295,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runTactic","doc":"Try to synthesize a term `val` using the tactic code `tacticCode`, and then assign `mvarId := val`.\n"},"Lean.Elab.Term.runPendingTacticsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L480-L486","name":"Lean.Elab.Term.runPendingTacticsAt","line":480,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runPendingTacticsAt","doc":"Collect unassigned metavariables at `e` that have associated tactic blocks, and then execute them using `runTactic`.\nWe use this method at the `match .. with` elaborator when it cannot be postponed anymore, but it is still waiting\nthe result of a tactic block.\n"},"Lean.Elab.Term.resolveName.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1622-L1630","name":"Lean.Elab.Term.resolveName.process","line":1622,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName.process","doc":""},"Lean.Elab.Term.resolveName'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1636-L1643","name":"Lean.Elab.Term.resolveName'","line":1636,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName'","doc":"Similar to `resolveName`, but creates identifiers for the main part and each projection with position information derived from `ident`.\nExample: Assume resolveName `v.head.bla.boo` produces `(v.head, [\"bla\", \"boo\"])`, then this method produces\n`(v.head, id, [f₁, f₂])` where `id` is an identifier for `v.head`, and `f₁` and `f₂` are identifiers for fields `\"bla\"` and `\"boo\"`. "},"Lean.Elab.Term.resolveName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1604-L1630","name":"Lean.Elab.Term.resolveName","line":1604,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName","doc":""},"Lean.Elab.Term.resolveLocalName.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1237-L1249","name":"Lean.Elab.Term.resolveLocalName.loop","line":1237,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.loop","doc":""},"Lean.Elab.Term.resolveLocalName.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1186-L1191","name":"Lean.Elab.Term.resolveLocalName.go","line":1186,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.go","doc":""},"Lean.Elab.Term.resolveLocalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1102-L1250","name":"Lean.Elab.Term.resolveLocalName","line":1102,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName","doc":""},"Lean.Elab.Term.resolveId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1645-L1657","name":"Lean.Elab.Term.resolveId?","line":1645,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveId?","doc":""},"Lean.Elab.Term.reportUnsolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L20-L22","name":"Lean.Elab.Term.reportUnsolvedGoals","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Term.reportUnsolvedGoals","doc":""},"Lean.Elab.Term.reportStuckSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/SyntheticMVars.lean#L209-L223","name":"Lean.Elab.Term.reportStuckSyntheticMVar","line":209,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.reportStuckSyntheticMVar","doc":"We use this method to report typeclass (and coercion) resolution problems that are \"stuck\".\nThat is, there is nothing else to do, and we don't have enough information to synthesize them using TC resolution.\n"},"Lean.Elab.Term.reportMatcherResultErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L989-L999","name":"Lean.Elab.Term.reportMatcherResultErrors","line":989,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.reportMatcherResultErrors","doc":""},"Lean.Elab.Term.removeSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L911-L914","name":"Lean.Elab.Term.removeSaveInfoAnnotation","line":911,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.removeSaveInfoAnnotation","doc":""},"Lean.Elab.Term.registerSyntheticMVarWithCurrRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L474-L475","name":"Lean.Elab.Term.registerSyntheticMVarWithCurrRef","line":474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVarWithCurrRef","doc":""},"Lean.Elab.Term.registerSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L471-L472","name":"Lean.Elab.Term.registerSyntheticMVar","line":471,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVar","doc":"Add the given metavariable to the list of pending synthetic metavariables.\nThe method `synthesizeSyntheticMVars` is used to process the metavariables on this list. "},"Lean.Elab.Term.registerMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L477-L478","name":"Lean.Elab.Term.registerMVarErrorInfo","line":477,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorInfo","doc":""},"Lean.Elab.Term.registerMVarErrorImplicitArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L483-L484","name":"Lean.Elab.Term.registerMVarErrorImplicitArgInfo","line":483,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorImplicitArgInfo","doc":""},"Lean.Elab.Term.registerMVarErrorHoleInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L480-L481","name":"Lean.Elab.Term.registerMVarErrorHoleInfo","line":480,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorHoleInfo","doc":""},"Lean.Elab.Term.registerMVarErrorCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L486-L487","name":"Lean.Elab.Term.registerMVarErrorCustomInfo","line":486,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorCustomInfo","doc":""},"Lean.Elab.Term.registerCustomErrorIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L492-L495","name":"Lean.Elab.Term.registerCustomErrorIfMVar","line":492,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerCustomErrorIfMVar","doc":""},"Lean.Elab.Term.quoteAutoTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L71-L86","name":"Lean.Elab.Term.quoteAutoTactic","line":71,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.quoteAutoTactic","doc":""},"Lean.Elab.Term.processDefDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Deriving/Basic.lean#L41-L59","name":"Lean.Elab.Term.processDefDeriving","line":41,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.Term.processDefDeriving","doc":""},"Lean.Elab.Term.precheckMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L160-L168","name":"Lean.Elab.Term.precheckMatch","line":160,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.precheckMatch","doc":""},"Lean.Elab.Term.precheckFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L607-L616","name":"Lean.Elab.Term.precheckFun","line":607,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckFun","doc":""},"Lean.Elab.Term.precheckArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L272-L276","name":"Lean.Elab.Term.precheckArrow","line":272,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckArrow","doc":""},"Lean.Elab.Term.ppGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L442-L443","name":"Lean.Elab.Term.ppGoal","line":442,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ppGoal","doc":""},"Lean.Elab.Term.postponeElabTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L976-L978","name":"Lean.Elab.Term.postponeElabTerm","line":976,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.postponeElabTerm","doc":"Postpone the elaboration of `stx`, return a metavariable that acts as a placeholder, and\nensures the info tree is updated and a hole id is introduced.\nWhen `stx` is elaborated, new info nodes are created and attached to the new hole id in the info tree.\n"},"Lean.Elab.Term.observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L271-L286","name":"Lean.Elab.Term.observing","line":271,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.observing","doc":"Execute `x`, save resulting expression and new state.\nWe remove any `Info` created by `x`.\nThe info nodes are committed when we execute `applyResult`.\nWe use `observing` to implement overloaded notation and decls.\nWe want to save `Info` nodes for the chosen alternative.\n"},"Lean.Elab.Term.mkTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L641-L645","name":"Lean.Elab.Term.mkTypeMismatchError","line":641,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTypeMismatchError","doc":""},"Lean.Elab.Term.mkTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L930-L935","name":"Lean.Elab.Term.mkTermInfo","line":930,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermInfo","doc":""},"Lean.Elab.Term.mkTermElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L361-L362","name":"Lean.Elab.Term.mkTermElabAttributeUnsafe","line":361,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttributeUnsafe","doc":""},"Lean.Elab.Term.mkTermElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L365-L365","name":"Lean.Elab.Term.mkTermElabAttribute","line":365,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttribute","doc":""},"Lean.Elab.Term.mkSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L902-L906","name":"Lean.Elab.Term.mkSaveInfoAnnotation","line":902,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkSaveInfoAnnotation","doc":"Create an auxiliary annotation to make sure we create an `Info` even if `e` is a metavariable.\nSee `mkTermInfo`.\n\nWe use this function because some elaboration functions elaborate subterms that may not be immediately\npart of the resulting term. Example:\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nIf the type of `b` is not known, then `wait_if_type_mvar% ?m; body` is postponed and just returns a fresh\nmetavariable `?n`. The elaborator for\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nreturns `mkSaveInfoAnnotation ?n` to make sure the info nodes created when elaborating `b` are \"saved\".\nThis is a bit hackish, but elaborators like `let_mvar%` are rare.\n"},"Lean.Elab.Term.mkPairs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L194-L201","name":"Lean.Elab.Term.mkPairs.loop","line":194,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs.loop","doc":""},"Lean.Elab.Term.mkPairs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L193-L202","name":"Lean.Elab.Term.mkPairs","line":193,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs","doc":"Return syntax `Prod.mk elems[0] (Prod.mk elems[1] ... (Prod.mk elems[elems.size - 2] elems[elems.size - 1])))` "},"Lean.Elab.Term.mkNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1089-L1093","name":"Lean.Elab.Term.mkNoImplicitLambdaAnnotation","line":1089,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L981-L982","name":"Lean.Elab.Term.mkMatcher","line":981,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.mkMatcher","doc":""},"Lean.Elab.Term.mkLetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L694-L701","name":"Lean.Elab.Term.mkLetIdDeclView","line":694,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.mkLetIdDeclView","doc":""},"Lean.Elab.Term.mkInstMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1440-L1445","name":"Lean.Elab.Term.mkInstMVar","line":1440,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkInstMVar","doc":"Create a new metavariable with the given type, and try to synthesize it.\nIf type class resolution cannot be executed (e.g., it is stuck because of metavariables in `type`),\nregister metavariable as a pending one.\n"},"Lean.Elab.Term.mkFreshIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L603-L604","name":"Lean.Elab.Term.mkFreshIdent","line":603,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshIdent","doc":"Auxiliary method for creating a `Syntax.ident` containing\na fresh name. This method is intended for creating fresh binder names.\nIt is just a thin layer on top of `mkFreshUserName`. "},"Lean.Elab.Term.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L596-L597","name":"Lean.Elab.Term.mkFreshBinderName","line":596,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshBinderName","doc":"Auxiliary method for creating fresh binder names.\nDo not confuse with the method for creating fresh free/meta variable ids. "},"Lean.Elab.Term.mkExplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L580-L581","name":"Lean.Elab.Term.mkExplicitBinder","line":580,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkExplicitBinder","doc":"Creates syntax for `(` `:` `)` "},"Lean.Elab.Term.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1588-L1595","name":"Lean.Elab.Term.mkConst","line":1588,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkConst","doc":"Create an `Expr.const` using the given name and explicit levels.\nRemark: fresh universe metavariables are created if the constant has more universe\nparameters than `explicitLevels`. "},"Lean.Elab.Term.mkCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L761-L774","name":"Lean.Elab.Term.mkCoe","line":761,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkCoe","doc":""},"Lean.Elab.Term.mkCalcTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L27-L44","name":"Lean.Elab.Term.mkCalcTrans","line":27,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.mkCalcTrans","doc":""},"Lean.Elab.Term.mkAuxName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1569-L1572","name":"Lean.Elab.Term.mkAuxName","line":1569,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkAuxName","doc":""},"Lean.Elab.Term.match.ignoreUnusedAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L984-L987","name":"Lean.Elab.Term.match.ignoreUnusedAlts","line":984,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.match.ignoreUnusedAlts","doc":""},"Lean.Elab.Term.logUnassignedUsingErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L541-L565","name":"Lean.Elab.Term.logUnassignedUsingErrorInfos","line":541,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.logUnassignedUsingErrorInfos","doc":"Try to log errors for the unassigned metavariables `pendingMVarIds`.\n\nReturn `true` if there were \"unfilled holes\", and we should \"abort\" declaration.\nTODO: try to fill \"all\" holes using synthetic \"sorry's\"\n\nRemark: We only log the \"unfilled holes\" as new errors if no error has been logged so far. "},"Lean.Elab.Term.liftLevelM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L447-L454","name":"Lean.Elab.Term.liftLevelM","line":447,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.liftLevelM","doc":""},"Lean.Elab.Term.levelMVarToParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L586-L591","name":"Lean.Elab.Term.levelMVarToParam","line":586,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.levelMVarToParam","doc":"Convert unassigned universe level metavariables into parameters.\nThe new parameter names are fresh names of the form `u_i` with regard to `ctx.levelNames`, which is updated with the new names. "},"Lean.Elab.Term.kindOfBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L65-L69","name":"Lean.Elab.Term.kindOfBinderName","line":65,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.kindOfBinderName","doc":"Determines the local declaration kind depending on the variable name.\n\nThe `__x` in `let __x := 42; body` gets kind `.implDetail`.\n"},"Lean.Elab.Term.isTacticOrPostponedHole?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L921-L928","name":"Lean.Elab.Term.isTacticOrPostponedHole?","line":921,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isTacticOrPostponedHole?","doc":"Return `some mvarId` if `e` corresponds to a hole that is going to be filled \"later\" by executing a tactic or resuming elaboration.\n\nWe do not save `ofTermInfo` for this kind of node in the `InfoTree`.\n"},"Lean.Elab.Term.isSaveInfoAnnotation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L908-L909","name":"Lean.Elab.Term.isSaveInfoAnnotation?","line":908,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isSaveInfoAnnotation?","doc":""},"Lean.Elab.Term.isMVarApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L814-L815","name":"Lean.Elab.Term.isMVarApp","line":814,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isMVarApp","doc":"Return `true` if `e` reduces (by unfolding only `[reducible]` declarations) to `?m ...` "},"Lean.Elab.Term.isLocalIdent?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1253-L1260","name":"Lean.Elab.Term.isLocalIdent?","line":1253,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLocalIdent?","doc":"Return true iff `stx` is a `Syntax.ident`, and it is a local variable. "},"Lean.Elab.Term.isLetRecAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1578-L1582","name":"Lean.Elab.Term.isLetRecAuxMVar","line":1578,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLetRecAuxMVar","doc":"Return true if mvarId is an auxiliary metavariable created for compiling `let rec` or it\nis delayed assigned to one. "},"Lean.Elab.Term.isAtomicDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L45-L50","name":"Lean.Elab.Term.isAtomicDiscr","line":45,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.isAtomicDiscr","doc":"Remark: if the discriminat is `Systax.missing`, we abort the elaboration of the `match`-expression.\nThis can happen due to error recovery. Example\n```\nexample : (p ∨ p) → p := fun h => match\n```\nIf we don't abort, the elaborator loops because we will keep trying to expand\n```\nmatch\n```\ninto\n```\nlet d := ; match\n```\nRecall that `Syntax.setArg stx i arg` is a no-op when `i` is out-of-bounds. "},"Lean.Elab.Term.instToStringSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L42-L47","name":"Lean.Elab.Term.instToStringSyntheticMVarKind","line":42,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringSyntheticMVarKind","doc":""},"Lean.Elab.Term.instToStringNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L30-L31","name":"Lean.Elab.Term.instToStringNamedArg","line":30,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringNamedArg","doc":""},"Lean.Elab.Term.instToStringMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L67-L71","name":"Lean.Elab.Term.instToStringMVarErrorKind","line":67,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringMVarErrorKind","doc":""},"Lean.Elab.Term.instToStringLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L389-L392","name":"Lean.Elab.Term.instToStringLVal","line":389,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringLVal","doc":""},"Lean.Elab.Term.instToStringArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L25-L28","name":"Lean.Elab.Term.instToStringArg","line":25,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringArg","doc":""},"Lean.Elab.Term.instNonemptySavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L244-L244","name":"Lean.Elab.Term.instNonemptySavedState","line":244,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instNonemptySavedState","doc":""},"Lean.Elab.Term.instMonadTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L229-L231","name":"Lean.Elab.Term.instMonadTermElabM","line":229,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadTermElabM","doc":""},"Lean.Elab.Term.instMonadMacroAdapterTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1038-L1041","name":"Lean.Elab.Term.instMonadMacroAdapterTermElabM","line":1038,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadMacroAdapterTermElabM","doc":""},"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L258-L260","name":"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","line":258,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","doc":""},"Lean.Elab.Term.instMetaEvalTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1673-L1678","name":"Lean.Elab.Term.instMetaEvalTermElabM","line":1673,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMetaEvalTermElabM","doc":""},"Lean.Elab.Term.instInhabitedTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L235-L236","name":"Lean.Elab.Term.instInhabitedTermElabM","line":235,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedTermElabM","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L40-L40","name":"Lean.Elab.Term.instInhabitedSyntheticMVarKind","line":40,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarKind","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L52-L52","name":"Lean.Elab.Term.instInhabitedSyntheticMVarDecl","line":52,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarDecl","doc":""},"Lean.Elab.Term.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L109-L109","name":"Lean.Elab.Term.instInhabitedState","line":109,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedState","doc":""},"Lean.Elab.Term.instInhabitedNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedNamedArg","line":23,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedNamedArg","doc":""},"Lean.Elab.Term.instInhabitedMatchAltView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MatchAltView.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedMatchAltView","line":23,"kind":"instance","docLink":"./Lean/Elab/MatchAltView.html#Lean.Elab.Term.instInhabitedMatchAltView","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L65-L65","name":"Lean.Elab.Term.instInhabitedMVarErrorKind","line":65,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorKind","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L81-L81","name":"Lean.Elab.Term.instInhabitedMVarErrorInfo","line":81,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorInfo","doc":""},"Lean.Elab.Term.instInhabitedLetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L98-L98","name":"Lean.Elab.Term.instInhabitedLetRecToLift","line":98,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedLetRecToLift","doc":""},"Lean.Elab.Term.instInhabitedDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L61-L61","name":"Lean.Elab.Term.instInhabitedDiscr","line":61,"kind":"instance","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.instInhabitedDiscr","doc":""},"Lean.Elab.Term.instInhabitedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L16-L16","name":"Lean.Elab.Term.instInhabitedArg","line":16,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedArg","doc":""},"Lean.Elab.Term.instAddErrorMessageContextTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L320-L326","name":"Lean.Elab.Term.instAddErrorMessageContextTermElabM","line":320,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instAddErrorMessageContextTermElabM","doc":""},"Lean.Elab.Term.hasNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1086-L1087","name":"Lean.Elab.Term.hasNoImplicitLambdaAnnotation","line":1086,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.hasNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.hasElabWithoutExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L22-L23","name":"Lean.Elab.Term.hasElabWithoutExpectedType","line":22,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.hasElabWithoutExpectedType","doc":""},"Lean.Elab.Term.hasCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L205-L210","name":"Lean.Elab.Term.hasCDot","line":205,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.hasCDot","doc":""},"Lean.Elab.Term.getSyntheticMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L882-L883","name":"Lean.Elab.Term.getSyntheticMVarDecl?","line":882,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getSyntheticMVarDecl?","doc":""},"Lean.Elab.Term.getPatternsVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L342-L347","name":"Lean.Elab.Term.getPatternsVars","line":342,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternsVars","doc":"Return the pattern variables occurring in the given patterns.\nThis method is used in the `match` and `do` notation elaborators\n"},"Lean.Elab.Term.getPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L333-L336","name":"Lean.Elab.Term.getPatternVars","line":333,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVars","doc":"Return the pattern variables in the given pattern.\nRemark: this method is not used by the main `match` elaborator, but in the precheck hook and other macros (e.g., at `Do.lean`).\n"},"Lean.Elab.Term.getPatternVarNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L349-L350","name":"Lean.Elab.Term.getPatternVarNames","line":349,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVarNames","doc":""},"Lean.Elab.Term.getMatchAltsNumPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L25-L28","name":"Lean.Elab.Term.getMatchAltsNumPatterns","line":25,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.getMatchAltsNumPatterns","doc":"Helper function for `expandEqnsIntoMatch` "},"Lean.Elab.Term.getMVarErrorInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L489-L490","name":"Lean.Elab.Term.getMVarErrorInfo?","line":489,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarErrorInfo?","doc":""},"Lean.Elab.Term.getMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L399-L399","name":"Lean.Elab.Term.getMVarDecl","line":399,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarDecl","doc":"Return the declaration of the given metavariable "},"Lean.Elab.Term.getLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L308-L309","name":"Lean.Elab.Term.getLevelNames","line":308,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLevelNames","doc":"Return the universe level names explicitly provided by the user.\n"},"Lean.Elab.Term.getLetRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L397-L397","name":"Lean.Elab.Term.getLetRecsToLift","line":397,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLetRecsToLift","doc":"Return the list of nested `let rec` declarations that need to be lifted. "},"Lean.Elab.Term.getFVarLocalDecl!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L315-L318","name":"Lean.Elab.Term.getFVarLocalDecl!","line":315,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getFVarLocalDecl!","doc":"Given a free variable `fvar`, return its declaration.\nThis function panics if `fvar` is not a free variable.\n"},"Lean.Elab.Term.getDeclName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L395-L395","name":"Lean.Elab.Term.getDeclName?","line":395,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getDeclName?","doc":"Return the name of the declaration being elaborated if available. "},"Lean.Elab.Term.getCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L78-L83","name":"Lean.Elab.Term.getCalcSteps","line":78,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcSteps","doc":""},"Lean.Elab.Term.getCalcRelation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L15-L19","name":"Lean.Elab.Term.getCalcRelation?","line":15,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcRelation?","doc":"Decompose `e` into `(r, a, b)`.\n\nRemark: it assumes the last two arguments are explicit. "},"Lean.Elab.Term.getCalcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L70-L76","name":"Lean.Elab.Term.getCalcFirstStep","line":70,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcFirstStep","doc":""},"Lean.Elab.Term.exprToSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1704-L1709","name":"Lean.Elab.Term.exprToSyntax","line":1704,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exprToSyntax","doc":"Helper function for \"embedding\" an `Expr` in `Syntax`.\nIt creates a named hole `?m` and immediately assigns `e` to it.\nExamples:\n```lean\nlet e := mkConst ``Nat.zero\n`(Nat.succ $(← exprToSyntax e))\n```\n"},"Lean.Elab.Term.expandWhereDeclsOpt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L458-L462","name":"Lean.Elab.Term.expandWhereDeclsOpt","line":458,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDeclsOpt","doc":""},"Lean.Elab.Term.expandWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L453-L456","name":"Lean.Elab.Term.expandWhereDecls","line":453,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDecls","doc":""},"Lean.Elab.Term.expandUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L172-L173","name":"Lean.Elab.Term.expandUnreachable","line":172,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandUnreachable","doc":""},"Lean.Elab.Term.expandTypeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L278-L283","name":"Lean.Elab.Term.expandTypeAscription","line":278,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTypeAscription","doc":""},"Lean.Elab.Term.expandTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L271-L276","name":"Lean.Elab.Term.expandTuple","line":271,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTuple","doc":""},"Lean.Elab.Term.expandTermUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1701-L1701","name":"Lean.Elab.Term.expandTermUnless","line":1701,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermUnless","doc":""},"Lean.Elab.Term.expandTermTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1698-L1698","name":"Lean.Elab.Term.expandTermTry","line":1698,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermTry","doc":""},"Lean.Elab.Term.expandTermReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1704-L1704","name":"Lean.Elab.Term.expandTermReturn","line":1704,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermReturn","doc":""},"Lean.Elab.Term.expandTermFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1695-L1695","name":"Lean.Elab.Term.expandTermFor","line":1695,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermFor","doc":""},"Lean.Elab.Term.expandSuffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L118-L125","name":"Lean.Elab.Term.expandSuffices","line":118,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandSuffices","doc":""},"Lean.Elab.Term.expandSimpleBinderWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L251-L255","name":"Lean.Elab.Term.expandSimpleBinderWithType","line":251,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandSimpleBinderWithType","doc":"If `binder` is a `_` or an identifier, return a `bracketedBinder` using `type` otherwise throw an exception. "},"Lean.Elab.Term.expandShow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L65-L68","name":"Lean.Elab.Term.expandShow","line":65,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandShow","doc":""},"Lean.Elab.Term.expandParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L267-L269","name":"Lean.Elab.Term.expandParen","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandParen","doc":""},"Lean.Elab.Term.expandOptType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L16-L20","name":"Lean.Elab.Term.expandOptType","line":16,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandOptType","doc":"Recall that\n```\ndef typeSpec := leading_parser \" : \" >> termParser\ndef optType : Parser := optional typeSpec\n```\n"},"Lean.Elab.Term.expandOptPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L14-L18","name":"Lean.Elab.Term.expandOptPrecedence","line":14,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.expandOptPrecedence","doc":"Expand `optional «precedence»` where\n«precedence» := leading_parser \" : \" >> precedenceParser "},"Lean.Elab.Term.expandMatchAltsWhereDecls.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L574-L585","name":"Lean.Elab.Term.expandMatchAltsWhereDecls.loop","line":574,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls.loop","doc":""},"Lean.Elab.Term.expandMatchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L571-L586","name":"Lean.Elab.Term.expandMatchAltsWhereDecls","line":571,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls","doc":"Similar to `expandMatchAltsIntoMatch`, but supports an optional `where` clause.\n\nExpand `matchAltsWhereDecls` into `let rec` + `match`-expression.\nExample\n```\n| 0, true => ... f 0 ...\n| i, _ => ... f i + g i ...\nwhere\n f x := g x + 1\n\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n```\nexpands into\n```\nfux x_1 x_2 =>\n let rec\n f x := g x + 1,\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n match x_1, x_2 with\n | 0, true => ... f 0 ...\n | i, _ => ... f i + g i ...\n```\n"},"Lean.Elab.Term.expandMatchAltsIntoMatchTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L540-L541","name":"Lean.Elab.Term.expandMatchAltsIntoMatchTactic","line":540,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatchTactic","doc":""},"Lean.Elab.Term.expandMatchAltsIntoMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L537-L538","name":"Lean.Elab.Term.expandMatchAltsIntoMatch","line":537,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatch","doc":"Expand `matchAlts` syntax into a full `match`-expression.\nExample:\n```\n| 0, true => alt_1\n| i, _ => alt_2\n```\nexpands into (for tactic == false)\n```\nfun x_1 x_2 =>\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\nand (for tactic == true)\n```\nintro x_1; intro x_2;\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\n\nIf `useExplicit = true`, we add a `@` before `fun` to disable implicit lambdas. We disable them when processing `let` and `let rec` declarations\nto make sure the behavior is consistent with top-level declarations where we can write\n```\ndef f : {α : Type} → α → α\n | _, a => a\n```\nWe use `useExplicit = false` when we are elaborating the `fun | ... => ... | ...` notation. See issue #1132.\nIf `@fun` is used with this notation, the we set `useExplicit = true`.\nWe also use `useExplicit = false` when processing `instance ... where` notation declarations. The motivation is to have compact declarations such as\n```\ninstance [Alternative m] : MonadLiftT Option m where\nmonadLift -- We don't want to provide the implicit arguments of `monadLift` here. One should use `monadLift := @fun ...` if they want to provide them.\n | some a => pure a\n | none => failure\n```\n\nRemark: we add `@` at discriminants to make sure we don't consume implicit arguments, and to make the behavior consistent with `fun`.\nExample:\n```\ninductive T : Type 1 :=\n| mkT : (forall {a : Type}, a -> a) -> T\n\ndef makeT (f : forall {a : Type}, a -> a) : T :=\n mkT f\n\ndef makeT' : (forall {a : Type}, a -> a) -> T\n| f => mkT f\n```\nThe two definitions should be elaborated without errors and be equivalent.\n"},"Lean.Elab.Term.expandMatchAlts?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L46-L54","name":"Lean.Elab.Term.expandMatchAlts?","line":46,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlts?","doc":""},"Lean.Elab.Term.expandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L33-L40","name":"Lean.Elab.Term.expandMatchAlt","line":33,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlt","doc":"Expand a match alternative such as `| 0 | 1 => rhs` to an array containing `| 0 => rhs` and `| 1 => rhs`.\n"},"Lean.Elab.Term.expandMacrosInPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L133-L136","name":"Lean.Elab.Term.expandMacrosInPatterns","line":133,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.expandMacrosInPatterns","doc":""},"Lean.Elab.Term.expandLetEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L703-L707","name":"Lean.Elab.Term.expandLetEqnsDecl","line":703,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandLetEqnsDecl","doc":""},"Lean.Elab.Term.expandHave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L105-L116","name":"Lean.Elab.Term.expandHave","line":105,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandHave","doc":""},"Lean.Elab.Term.expandFunBinders.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L342-L380","name":"Lean.Elab.Term.expandFunBinders.loop","line":342,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders.loop","doc":""},"Lean.Elab.Term.expandFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L341-L381","name":"Lean.Elab.Term.expandFunBinders","line":341,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders","doc":"Auxiliary function for expanding `fun` notation binders. Recall that `fun` parser is defined as\n```\ndef funBinder : Parser := implicitBinder <|> instBinder <|> termParser maxPrec\nleading_parser unicodeSymbol \"λ\" \"fun\" >> many1 funBinder >> \"=>\" >> termParser\n```\nto allow notation such as `fun (a, b) => a + b`, where `(a, b)` should be treated as a pattern.\nThe result is a pair `(explicitBinders, newBody)`, where `explicitBinders` is syntax of the form\n```\n`(` ident `:` term `)`\n```\nwhich can be elaborated using `elabBinders`, and `newBody` is the updated `body` syntax.\nWe update the `body` syntax when expanding the pattern notation.\nExample: `fun (a, b) => a + b` expands into `fun _a_1 => match _a_1 with | (a, b) => a + b`.\nSee local function `processAsPattern` at `expandFunBindersAux`.\n\nThe resulting `Bool` is true if a pattern was found. We use it \"mark\" a macro expansion. "},"Lean.Elab.Term.expandFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L588-L599","name":"Lean.Elab.Term.expandFun","line":588,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFun","doc":""},"Lean.Elab.Term.expandForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L257-L261","name":"Lean.Elab.Term.expandForall","line":257,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandForall","doc":""},"Lean.Elab.Term.expandExplicitFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L601-L604","name":"Lean.Elab.Term.expandExplicitFun","line":601,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandExplicitFun","doc":""},"Lean.Elab.Term.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1689-L1693","name":"Lean.Elab.Term.expandDeclId","line":1689,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.expandDeclId","doc":""},"Lean.Elab.Term.expandDbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L183-L186","name":"Lean.Elab.Term.expandDbgTrace","line":183,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandDbgTrace","doc":""},"Lean.Elab.Term.expandCDot?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L230-L240","name":"Lean.Elab.Term.expandCDot?.go","line":230,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?.go","doc":"Auxiliary function for expanding the `·` notation.\nThe extra state `Array Syntax` contains the new binder names.\nIf `stx` is a `·`, we create a fresh identifier, store in the\nextra state, and return it. Otherwise, we just return `stx`. "},"Lean.Elab.Term.expandCDot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L218-L240","name":"Lean.Elab.Term.expandCDot?","line":218,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?","doc":"Return `some` if succeeded expanding `·` notation occurring in\nthe given syntax. Otherwise, return `none`.\nExamples:\n- `· + 1` => `fun _a_1 => _a_1 + 1`\n- `f · · b` => `fun _a_1 _a_2 => f _a_1 _a_2 b` "},"Lean.Elab.Term.expandAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L175-L181","name":"Lean.Elab.Term.expandAssert","line":175,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandAssert","doc":""},"Lean.Elab.Term.expandArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L33-L52","name":"Lean.Elab.Term.expandArgs","line":33,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandArgs","doc":""},"Lean.Elab.Term.expandApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L54-L56","name":"Lean.Elab.Term.expandApp","line":54,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandApp","doc":""},"Lean.Elab.Term.exceptionToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L803-L806","name":"Lean.Elab.Term.exceptionToSorry","line":803,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exceptionToSorry","doc":"Log the given exception, and create a synthetic sorry for representing the failed\nelaboration step with exception `ex`.\n"},"Lean.Elab.Term.evalTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Eval.lean#L12-L17","name":"Lean.Elab.Term.evalTerm","line":12,"kind":"def","docLink":"./Lean/Elab/Eval.html#Lean.Elab.Term.evalTerm","doc":""},"Lean.Elab.Term.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L69-L70","name":"Lean.Elab.Term.eraseNamedArg","line":69,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.eraseNamedArg","doc":"Erase entry for `binderName` from `namedArgs`. "},"Lean.Elab.Term.ensureUnaryOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L46-L51","name":"Lean.Elab.Term.ensureUnaryOutput","line":46,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ensureUnaryOutput","doc":""},"Lean.Elab.Term.ensureType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1450-L1463","name":"Lean.Elab.Term.ensureType","line":1450,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureType","doc":"Make sure `e` is a type by inferring its type and making sure it is an `Expr.sort`\nor is unifiable with `Expr.sort`, or can be coerced into one. "},"Lean.Elab.Term.ensureNoUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L568-L571","name":"Lean.Elab.Term.ensureNoUnassignedMVars","line":568,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureNoUnassignedMVars","doc":"Ensure metavariables registered using `registerMVarErrorInfos` (and used in the given declaration) have been assigned. "},"Lean.Elab.Term.ensureHasType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L781-L787","name":"Lean.Elab.Term.ensureHasType","line":781,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureHasType","doc":"If `expectedType?` is `some t`, then ensure `t` and `eType` are definitionally equal.\nIf they are not, then try coercions.\n\nArgument `f?` is used only for generating error messages. 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`useLetExpr` is true, then a kernel let-expression `let x : type := val; body` is created.\nOtherwise, we create a term of the form `(fun (x : type) => body) val`\n\nThe default elaboration order is `binders`, `typeStx`, `valStx`, and `body`.\nIf `elabBodyFirst == true`, then we use the order `binders`, `typeStx`, `body`, and `valStx`. "},"Lean.Elab.Term.elabLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L744-L745","name":"Lean.Elab.Term.elabLetDecl","line":744,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabLetDecl","doc":""},"Lean.Elab.Term.elabLeadingParserMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L143-L147","name":"Lean.Elab.Term.elabLeadingParserMacro","line":143,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabLeadingParserMacro","doc":""},"Lean.Elab.Term.elabIncludeStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L319-L328","name":"Lean.Elab.Term.elabIncludeStr","line":319,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabIncludeStr","doc":""},"Lean.Elab.Term.elabInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L155-L157","name":"Lean.Elab.Term.elabInaccessible","line":155,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.elabInaccessible","doc":""},"Lean.Elab.Term.elabIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1473-L1473","name":"Lean.Elab.Term.elabIdent","line":1473,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabIdent","doc":""},"Lean.Elab.Term.elabHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L57-L61","name":"Lean.Elab.Term.elabHole","line":57,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabHole","doc":""},"Lean.Elab.Term.elabFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L443-L451","name":"Lean.Elab.Term.elabFunBinders","line":443,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFunBinders","doc":""},"Lean.Elab.Term.elabFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L618-L631","name":"Lean.Elab.Term.elabFun","line":618,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFun","doc":""},"Lean.Elab.Term.elabForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L263-L269","name":"Lean.Elab.Term.elabForall","line":263,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabForall","doc":""},"Lean.Elab.Term.elabForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L51-L77","name":"Lean.Elab.Term.elabForIn'","line":51,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn'","doc":""},"Lean.Elab.Term.elabForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L25-L49","name":"Lean.Elab.Term.elabForIn","line":25,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn","doc":""},"Lean.Elab.Term.elabExplicitUnivs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1253-L1254","name":"Lean.Elab.Term.elabExplicitUnivs","line":1253,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUnivs","doc":""},"Lean.Elab.Term.elabExplicitUniv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1476-L1476","name":"Lean.Elab.Term.elabExplicitUniv","line":1476,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUniv","doc":""},"Lean.Elab.Term.elabExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1484-L1490","name":"Lean.Elab.Term.elabExplicit","line":1484,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicit","doc":""},"Lean.Elab.Term.elabEnsureTypeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L258-L265","name":"Lean.Elab.Term.elabEnsureTypeOf","line":258,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureTypeOf","doc":""},"Lean.Elab.Term.elabEnsureExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L267-L270","name":"Lean.Elab.Term.elabEnsureExpectedType","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureExpectedType","doc":""},"Lean.Elab.Term.elabDoubleQuotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec831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dependent arrow. `(x : α) → β` is equivalent to `∀ x : α, β`, but we usually\nreserve the latter for propositions. Also written as `Π x : α, β` (the \"Pi-type\")\nin the literature. "},"Lean.Elab.Term.elabDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L216-L219","name":"Lean.Elab.Term.elabDeclName","line":216,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabDeclName","doc":""},"Lean.Elab.Term.elabCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L40-L55","name":"Lean.Elab.Term.elabCompletion","line":40,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCompletion","doc":""},"Lean.Elab.Term.elabCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L14-L20","name":"Lean.Elab.Term.elabCoe","line":14,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCoe","doc":""},"Lean.Elab.Term.elabClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L272-L290","name":"Lean.Elab.Term.elabClear","line":272,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabClear","doc":""},"Lean.Elab.Term.elabChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1492-L1492","name":"Lean.Elab.Term.elabChoice","line":1492,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabChoice","doc":""},"Lean.Elab.Term.elabCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L203-L206","name":"Lean.Elab.Term.elabCharLit","line":203,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCharLit","doc":""},"Lean.Elab.Term.elabCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L85-L108","name":"Lean.Elab.Term.elabCalcSteps","line":85,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalcSteps","doc":""},"Lean.Elab.Term.elabCalc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L112-L117","name":"Lean.Elab.Term.elabCalc","line":112,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalc","doc":"Elaborator for the `calc` term mode variant. "},"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L262-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","line":262,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","doc":""},"Lean.Elab.Term.elabCDotFunctionAlias?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L246-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?","line":246,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?","doc":"Helper method for elaborating terms such as `(.+.)` where a constant name is expected.\nThis method is usually used to implement tactics that function names as arguments (e.g., `simp`).\n"},"Lean.Elab.Term.elabByTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L150-L155","name":"Lean.Elab.Term.elabByTactic","line":150,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabByTactic","doc":""},"Lean.Elab.Term.elabBorrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L60-L63","name":"Lean.Elab.Term.elabBorrowed","line":60,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabBorrowed","doc":""},"Lean.Elab.Term.elabBindersEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L227-L232","name":"Lean.Elab.Term.elabBindersEx","line":227,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBindersEx","doc":"Like `elabBinders`, but also pass syntax node per binder.\n`elabBinders(Ex)` automatically adds binder info nodes for the produced fvars, but storing the syntax nodes\nmight be necessary when later adding the same binders back to the local context so that info nodes can\nmanually be added for the new fvars; see `MutualDef` for an example. "},"Lean.Elab.Term.elabBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L243-L244","name":"Lean.Elab.Term.elabBinders","line":243,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinders","doc":"Elaborate the given binders (i.e., `Syntax` objects for `bracketedBinder`),\nupdate the local context, set of local instances, reset instance chache (if needed), and then\nexecute `k` with the updated context.\nThe local context will only be included inside `k`.\n\nFor example, suppose you have binders `[(a : α), (b : β a)]`, then the elaborator will\ncreate two new free variables `a` and `b`, push these to the context and pass to `k #[a,b]`.\n"},"Lean.Elab.Term.elabBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L247-L248","name":"Lean.Elab.Term.elabBinder","line":247,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinder","doc":"Same as `elabBinder` with a single binder."},"Lean.Elab.Term.elabBadCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinTerm.lean#L160-L161","name":"Lean.Elab.Term.elabBadCDot","line":160,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabBadCDot","doc":""},"Lean.Elab.Term.elabAsElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L682-L697","name":"Lean.Elab.Term.elabAsElim","line":682,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAsElim","doc":""},"Lean.Elab.Term.elabArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L278-L285","name":"Lean.Elab.Term.elabArrow","line":278,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabArrow","doc":""},"Lean.Elab.Term.elabAppArgs.isFirstOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L978-L980","name":"Lean.Elab.Term.elabAppArgs.isFirstOrder","line":978,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.isFirstOrder","doc":""},"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L959-L972","name":"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","line":959,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","doc":"Collect extra argument positions that must be elaborated eagerly when using `elab_as_elim`.\nThe idea is that the contribute to motive inference. See comment at `ElamElim.Context.extraArgsPos`.\n"},"Lean.Elab.Term.elabAppArgs.elabAsElim?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L939-L953","name":"Lean.Elab.Term.elabAppArgs.elabAsElim?","line":939,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.elabAsElim?","doc":"Return `some info` if we should elaborate as an eliminator. "},"Lean.Elab.Term.elabAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L907-L980","name":"Lean.Elab.Term.elabAppArgs","line":907,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs","doc":"Elaborate a `f`-application using `namedArgs` and `args` as the arguments.\n- `expectedType?` the expected type if available. It is used to propagate typing information only. This method does **not** ensure the result has this type.\n- `explicit = true` when notation `@` is used, and implicit arguments are assumed to be provided at `namedArgs` and `args`.\n- `ellipsis = true` when notation `..` is used. That is, we add `_` for missing arguments.\n- `resultIsOutParamSupport` is used to control whether special support is used when processing applications of functions that return\n output parameter of some local instance. Example:\n ```\n GetElem.getElem : {Cont : Type u_1} → {Idx : Type u_2} → {elem : Type u_3} → {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] → (xs : cont) → (i : idx) → dom xs i → elem\n ```\n The result type `elem` is the output parameter of the local instance `self`.\n When this parameter is set to `true`, we execute `synthesizeSyntheticMVarsUsingDefault`. For additional details, see comment at\n `ElabAppArgs.resultIsOutParam`.\n"},"Lean.Elab.Term.elabApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1465-L1468","name":"Lean.Elab.Term.elabApp","line":1465,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabApp","doc":""},"Lean.Elab.Term.elabAnonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BuiltinNotation.lean#L22-L58","name":"Lean.Elab.Term.elabAnonymousCtor","line":22,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabAnonymousCtor","doc":""},"Lean.Elab.Term.declareTacticSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L88-L100","name":"Lean.Elab.Term.declareTacticSyntax","line":88,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.declareTacticSyntax","doc":""},"Lean.Elab.Term.containsPendingMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L702-L705","name":"Lean.Elab.Term.containsPendingMVar","line":702,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.containsPendingMVar","doc":"Return `true` if `e` contains a pending metavariable. Remark: it also visits let-declarations. "},"Lean.Elab.Term.commitIfNoErrors?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1415-L1428","name":"Lean.Elab.Term.commitIfNoErrors?","line":1415,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfNoErrors?","doc":"Execute `x` and return `some` if no new errors were recorded or exceptions were thrown. Otherwise, return `none`. "},"Lean.Elab.Term.commitIfDidNotPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L300-L303","name":"Lean.Elab.Term.commitIfDidNotPostpone","line":300,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfDidNotPostpone","doc":"Execute `x`, but keep state modifications only if `x` did not postpone.\nThis method is useful to implement elaboration functions that cannot decide whether\nthey need to postpone or not without updating the state. "},"Lean.Elab.Term.collectUnassignedMVars.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1511-L1527","name":"Lean.Elab.Term.collectUnassignedMVars.go","line":1511,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars.go","doc":""},"Lean.Elab.Term.collectUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1503-L1527","name":"Lean.Elab.Term.collectUnassignedMVars","line":1503,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars","doc":"Collect unassigned metavariables in `type` that are not already in `init` and not satisfying `except`.\n"},"Lean.Elab.Term.collectPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L325-L327","name":"Lean.Elab.Term.collectPatternVars","line":325,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.collectPatternVars","doc":"Collect pattern variables occurring in the `match`-alternative object views.\nIt also returns the updated views.\n"},"Lean.Elab.Term.clearInMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L57-L62","name":"Lean.Elab.Term.clearInMatchAlt","line":57,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatchAlt","doc":""},"Lean.Elab.Term.clearInMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/BindersUtil.lean#L64-L70","name":"Lean.Elab.Term.clearInMatch","line":64,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatch","doc":""},"Lean.Elab.Term.checkLeftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L68-L80","name":"Lean.Elab.Term.checkLeftRec","line":68,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.checkLeftRec","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L744-L753","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","line":744,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L754-L764","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visit","line":754,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visit","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L730-L767","name":"Lean.Elab.Term.checkForHiddenUnivLevels","line":730,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels","doc":""},"Lean.Elab.Term.checkBinderAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L177-L180","name":"Lean.Elab.Term.checkBinderAnnotations","line":177,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.checkBinderAnnotations","doc":""},"Lean.Elab.Term.blockImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1096-L1100","name":"Lean.Elab.Term.blockImplicitLambda","line":1096,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.blockImplicitLambda","doc":"Block usage of implicit lambdas if `stx` is `@f` or `@f arg1 ...` or `fun` with an implicit binder annotation. "},"Lean.Elab.Term.applyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L291-L294","name":"Lean.Elab.Term.applyResult","line":291,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyResult","doc":"Apply the result/exception and state captured with `observing`.\nWe use this method to implement overloaded notation and symbols. "},"Lean.Elab.Term.applyAttributesAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L635-L636","name":"Lean.Elab.Term.applyAttributesAt","line":635,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributesAt","doc":"Apply given attributes **at** a given application time "},"Lean.Elab.Term.applyAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L638-L639","name":"Lean.Elab.Term.applyAttributes","line":638,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributes","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L61-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType.go","line":61,"kind":"opaque","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType.go","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Calc.lean#L57-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType","line":57,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType","doc":"Adds a type annotation to a hole that occurs immediately at the beginning of the term.\nThis is so that coercions can trigger when elaborating the term.\nSee https://github.com/leanprover/lean4/issues/2040 for futher rationale.\n\n- `_ < 3` is annotated\n- `(_) < 3` is not, because it occurs after an atom\n- in `_ < _` only the first one is annotated\n- `_ + 2 < 3` is annotated (not the best heuristic, ideally we'd like to annotate `_ + 2`)\n- `lt _ 3` is not, because it occurs after an identifier\n"},"Lean.Elab.Term.addTermInfo'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L961-L962","name":"Lean.Elab.Term.addTermInfo'","line":961,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo'","doc":""},"Lean.Elab.Term.addTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L952-L959","name":"Lean.Elab.Term.addTermInfo","line":952,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo","doc":"Pushes a new leaf node to the info tree associating the expression `e` to the syntax `stx`.\nAs a result, when the user hovers over `stx` they will see the type of `e`, and if `e`\nis a constant they will see the constant's doc string.\n\n* `expectedType?`: the expected type of `e` at the point of elaboration, if available\n* `lctx?`: the local context in which to interpret `e` (otherwise it will use `← getLCtx`)\n* `elaborator`: a declaration name used as an alternative target for go-to-definition\n* `isBinder`: if true, this will be treated as defining `e` (which should be a local constant)\n for the purpose of go-to-definition on local variables\n* `force`: In patterns, the effect of `addTermInfo` is usually suppressed and replaced\n by a `patternWithRef?` annotation which will be turned into a term info on the\n post-match-elaboration expression. This flag overrides that behavior and adds the term\n info immediately. (See https://github.com/leanprover/lean4/pull/1664.)\n"},"Lean.Elab.Term.addNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L28-L31","name":"Lean.Elab.Term.addNamedArg","line":28,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.addNamedArg","doc":"Add a new named argument to `namedArgs`, and throw an error if it already contains a named argument\nwith the same name. "},"Lean.Elab.Term.addLocalVarInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L169-L170","name":"Lean.Elab.Term.addLocalVarInfo","line":169,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.addLocalVarInfo","doc":""},"Lean.Elab.Term.addDotCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1387-L1388","name":"Lean.Elab.Term.addDotCompletionInfo","line":1387,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addDotCompletionInfo","doc":"Store in the `InfoTree` that `e` is a \"dot\"-completion target. "},"Lean.Elab.Term.addCategoryInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L57-L60","name":"Lean.Elab.Term.addCategoryInfo","line":57,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addCategoryInfo","doc":"(Try to) add a term info for the category `catName` at `ref`. "},"Lean.Elab.Term.addAutoBoundImplicits.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1542-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits.go","line":1542,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits.go","doc":""},"Lean.Elab.Term.addAutoBoundImplicits'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1562-L1567","name":"Lean.Elab.Term.addAutoBoundImplicits'","line":1562,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits'","doc":"Similar to `autoBoundImplicits`, but immediately if the resulting array of expressions contains metavariables,\nit immediately uses `mkForallFVars` + `forallBoundedTelescope` to convert them into free variables.\nThe type `type` is modified during the process if type depends on `xs`.\nWe use this method to simplify the conversion of code using `autoBoundImplicitsOld` to `autoBoundImplicits`.\n"},"Lean.Elab.Term.addAutoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1538-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits","line":1538,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits","doc":"Return `autoBoundImplicits ++ xs`\nThis method throws an error if a variable in `autoBoundImplicits` depends on some `x` in `xs`.\nThe `autoBoundImplicits` may contain free variables created by the auto-implicit feature, and unassigned free variables.\nIt avoids the hack used at `autoBoundImplicitsOld`.\n\nRemark: we cannot simply replace every occurrence of `addAutoBoundImplicitsOld` with this one because a particular\nuse-case may not be able to handle the metavariables in the array being given to `k`.\n"},"Lean.Elab.Term.addAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L63-L66","name":"Lean.Elab.Term.addAliasInfo","line":63,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addAliasInfo","doc":"(Try to) add a term info for the alias with info `info` at `ref`. "},"Lean.Elab.Term.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1431-L1433","name":"Lean.Elab.Term.adaptExpander","line":1431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.adaptExpander","doc":"Adapt a syntax transformation to a regular, term-producing elaborator. "},"Lean.Elab.Term.UseImplicitLambdaResult.yes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1264-L1264","name":"Lean.Elab.Term.UseImplicitLambdaResult.yes","line":1264,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.yes","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.postpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1265-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult.postpone","line":1265,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.postpone","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.no":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1263-L1263","name":"Lean.Elab.Term.UseImplicitLambdaResult.no","line":1263,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.no","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1262-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult","line":1262,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult","doc":""},"Lean.Elab.Term.ToParserDescrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L39-L39","name":"Lean.Elab.Term.ToParserDescrM","line":39,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrM","doc":""},"Lean.Elab.Term.ToParserDescrContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L1-L1","name":"Lean.Elab.Term.ToParserDescrContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.mk","doc":""},"Lean.Elab.Term.ToParserDescrContext.leftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L35-L35","name":"Lean.Elab.Term.ToParserDescrContext.leftRec","line":35,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.leftRec","doc":""},"Lean.Elab.Term.ToParserDescrContext.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L34-L34","name":"Lean.Elab.Term.ToParserDescrContext.first","line":34,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.first","doc":""},"Lean.Elab.Term.ToParserDescrContext.catName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L33-L33","name":"Lean.Elab.Term.ToParserDescrContext.catName","line":33,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.catName","doc":""},"Lean.Elab.Term.ToParserDescrContext.behavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L37-L37","name":"Lean.Elab.Term.ToParserDescrContext.behavior","line":37,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.behavior","doc":"See comment at `Parser.ParserCategory`. "},"Lean.Elab.Term.ToParserDescrContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L32-L37","name":"Lean.Elab.Term.ToParserDescrContext","line":32,"kind":"structure","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext","doc":""},"Lean.Elab.Term.ToParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L40-L40","name":"Lean.Elab.Term.ToParserDescr","line":40,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescr","doc":""},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L635-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","line":635,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","doc":"The `Bool` context is true iff we are inside of an \"inaccessible\" pattern. "},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L631-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo","line":631,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo","doc":"Save pattern information in the info tree, and remove `patternWithRef?` annotations.\n"},"Lean.Elab.Term.ToDepElimPattern.normalize.processVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L512-L520","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processVar","line":512,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L522-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","line":522,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.addVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L507-L510","name":"Lean.Elab.Term.ToDepElimPattern.normalize.addVar","line":507,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.addVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L455-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize","line":455,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize","doc":"Normalize the pattern and collect all patterns variables (explicit and implicit).\nThis method is the one that decides where the inaccessible annotations must be inserted.\nThe pattern variables are both free variables (for explicit pattern variables) and metavariables (for implicit ones).\nRecall that `mkLambdaFVars` now allows us to abstract both free variables and metavariables.\n"},"Lean.Elab.Term.ToDepElimPattern.main.unpack.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L706-L715","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack.go","line":706,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack.go","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.unpack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L705-L716","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack","line":705,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.pack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L681-L703","name":"Lean.Elab.Term.ToDepElimPattern.main.pack","line":681,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.pack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L662-L716","name":"Lean.Elab.Term.ToDepElimPattern.main","line":662,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main","doc":"Main method for `withDepElimPatterns`.\n- `PatternVarDecls`: are the explicit pattern variables provided by the user.\n- `ps`: are the patterns provided by the user.\n- `matchType`: the expected typ for this branch. It depends on the explicit pattern variables and the implicit ones that are still represented as metavariables,\n and are found by this function.\n- `k` is the continuation that is executed in an updated local context with the all pattern variables (explicit and implicit). Note that, `patternVarDecls` are all\n replaced since they may depend on implicit pattern variables (i.e., metavariables) that are converted into new free variables by this method.\n"},"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L381-L385","name":"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","line":381,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","doc":"Return true iff `e` is an explicit pattern variable provided by the user. "},"Lean.Elab.Term.ToDepElimPattern.TopSortM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L591-L591","name":"Lean.Elab.Term.ToDepElimPattern.TopSortM","line":591,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSortM","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L588-L588","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","line":588,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L587-L587","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","line":587,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L589-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","line":589,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L586-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State","line":586,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.patternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L364-L364","name":"Lean.Elab.Term.ToDepElimPattern.State.patternVars","line":364,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.patternVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L363-L364","name":"Lean.Elab.Term.ToDepElimPattern.State","line":363,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L378-L378","name":"Lean.Elab.Term.ToDepElimPattern.M","line":378,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.M","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.userName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L370-L370","name":"Lean.Elab.Term.ToDepElimPattern.Context.userName","line":370,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.userName","doc":"When visiting an assigned metavariable, if it has an user-name. We save it here.\nWe want to preserve these user-names when generating new pattern variables. "},"Lean.Elab.Term.ToDepElimPattern.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L376-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","line":376,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","doc":"Pattern variables that were explicitly provided by the user.\nRecall that implicit parameters and `_` are elaborated as metavariables, and then converted into pattern variables\nby the `normalize` procedure.\n"},"Lean.Elab.Term.ToDepElimPattern.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L366-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context","line":366,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context","doc":""},"Lean.Elab.Term.TermElabResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L262-L262","name":"Lean.Elab.Term.TermElabResult","line":262,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabResult","doc":""},"Lean.Elab.Term.TermElabM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1666-L1671","name":"Lean.Elab.Term.TermElabM.toIO","line":1666,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.toIO","doc":""},"Lean.Elab.Term.TermElabM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1663-L1664","name":"Lean.Elab.Term.TermElabM.run'","line":1663,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run'","doc":""},"Lean.Elab.Term.TermElabM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1660-L1661","name":"Lean.Elab.Term.TermElabM.run","line":1660,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run","doc":""},"Lean.Elab.Term.TermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L221-L221","name":"Lean.Elab.Term.TermElabM","line":221,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM","doc":""},"Lean.Elab.Term.TermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L222-L222","name":"Lean.Elab.Term.TermElab","line":222,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElab","doc":""},"Lean.Elab.Term.SyntheticMVarKind.typeClass":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L29-L30","name":"Lean.Elab.Term.SyntheticMVarKind.typeClass","line":29,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.typeClass","doc":"Use typeclass resolution to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L36-L37","name":"Lean.Elab.Term.SyntheticMVarKind.tactic","line":36,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.tactic","doc":"Use tactic to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.postponed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L38-L39","name":"Lean.Elab.Term.SyntheticMVarKind.postponed","line":38,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.postponed","doc":"Metavariable represents a hole whose elaboration has been postponed. 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the following example:\n```\nstructure A where\n x : Nat := 1\n\nstructure B extends A where\n y : Nat := x + 1\n x := y + 1\n\nstructure C extends B where\n z : Nat := 2*y\n x := z + 3\n```\nAnd we are trying to elaborate a structure instance for `C`. There are default values for `x` at `A`, `B`, and `C`.\nWe say the default value at `C` has distance 0, the one at `B` distance 1, and the one at `A` distance 2.\nThe field `maxDistance` specifies the maximum distance considered in a round of Default field computation.\nRemark: since `C` does not set a default value of `y`, the default value at `B` is at distance 0.\n\nThe fixpoint for setting default values works in the following way.\n- Keep computing default values using `maxDistance == 0`.\n- We increase `maxDistance` whenever we failed to compute a new default value in a round.\n- If `maxDistance > 0`, then we interrupt a round as soon as we compute some default value.\n We use depth-first search.\n- We sign an error if no progress is made when `maxDistance` == structure hierarchy depth (2 in the example above).\n"},"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L652-L652","name":"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","line":652,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","doc":""},"Lean.Elab.Term.StructInst.DefaultFields.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L649-L679","name":"Lean.Elab.Term.StructInst.DefaultFields.Context","line":649,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L537-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.params","line":537,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.params","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L1-L1","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.mk","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L536-L536","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","line":536,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L535-L535","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","line":535,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L534-L534","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","line":534,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/StructInst.lean#L533-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult","line":533,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult","doc":""},"Lean.Elab.Term.State.syntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L105-L105","name":"Lean.Elab.Term.State.syntheticMVars","line":105,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.syntheticMVars","doc":""},"Lean.Elab.Term.State.pendingMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L106-L106","name":"Lean.Elab.Term.State.pendingMVars","line":106,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.pendingMVars","doc":""},"Lean.Elab.Term.State.mvarErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L107-L107","name":"Lean.Elab.Term.State.mvarErrorInfos","line":107,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mvarErrorInfos","doc":""},"Lean.Elab.Term.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mk","doc":""},"Lean.Elab.Term.State.levelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L104-L104","name":"Lean.Elab.Term.State.levelNames","line":104,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.levelNames","doc":""},"Lean.Elab.Term.State.letRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L108-L108","name":"Lean.Elab.Term.State.letRecsToLift","line":108,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.letRecsToLift","doc":""},"Lean.Elab.Term.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/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state for the `TermElabM` 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all pattern vars (as `Syntax.ident`s) in `stx` "},"Lean.Elab.Term.Quotation.getAntiquotationIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Util.lean#L16-L24","name":"Lean.Elab.Term.Quotation.getAntiquotationIds","line":16,"kind":"def","docLink":"./Lean/Elab/Quotation/Util.html#Lean.Elab.Term.Quotation.getAntiquotationIds","doc":""},"Lean.Elab.Term.Quotation.getAntiquotKindSpec?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Util.lean#L43-L45","name":"Lean.Elab.Term.Quotation.getAntiquotKindSpec?","line":43,"kind":"def","docLink":"./Lean/Elab/Quotation/Util.html#Lean.Elab.Term.Quotation.getAntiquotKindSpec?","doc":"Given an antiquotation like `$e:term` (i.e. `Syntax.antiquotKind?` returns `some`),\nreturns the `\"term\"` atom if present.\n"},"Lean.Elab.Term.Quotation.elabPrecheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L139-L142","name":"Lean.Elab.Term.Quotation.elabPrecheckedQuot","line":139,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.elabPrecheckedQuot","doc":""},"Lean.Elab.Term.Quotation.elabNoErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L680-L683","name":"Lean.Elab.Term.Quotation.elabNoErrorIfUnused","line":680,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabNoErrorIfUnused","doc":""},"Lean.Elab.Term.Quotation.elabMatchSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L677-L678","name":"Lean.Elab.Term.Quotation.elabMatchSyntax","line":677,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabMatchSyntax","doc":""},"Lean.Elab.Term.Quotation.commandElab_stx_quot_":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L261-L262","name":"Lean.Elab.Term.Quotation.commandElab_stx_quot_","line":261,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.commandElab_stx_quot_","doc":""},"Lean.Elab.Term.Quotation.addNamedQuotInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L208-L216","name":"Lean.Elab.Term.Quotation.addNamedQuotInfo","line":208,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.addNamedQuotInfo","doc":""},"Lean.Elab.Term.Quotation.PrecheckM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L19-L19","name":"Lean.Elab.Term.Quotation.PrecheckM","line":19,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.PrecheckM","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L17-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","line":17,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L1-L1","name":"Lean.Elab.Term.Quotation.Precheck.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.mk","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L16-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context","line":16,"kind":"structure","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context","doc":""},"Lean.Elab.Term.Quotation.Precheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation/Precheck.lean#L20-L20","name":"Lean.Elab.Term.Quotation.Precheck","line":20,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck","doc":""},"Lean.Elab.Term.Quotation.MatchResult.undecided":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L307-L308","name":"Lean.Elab.Term.Quotation.MatchResult.undecided","line":307,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult.undecided","doc":"Pattern 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"},"Lean.Elab.Term.Quotation.MatchResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L301-L308","name":"Lean.Elab.Term.Quotation.MatchResult","line":301,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult","doc":"Describe whether a pattern is covered by a head check (induced by the pattern itself or a different pattern). "},"Lean.Elab.Term.Quotation.IdxSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L595-L595","name":"Lean.Elab.Term.Quotation.IdxSet","line":595,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.IdxSet","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.onMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L323-L323","name":"Lean.Elab.Term.Quotation.HeadInfo.onMatch","line":323,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.onMatch","doc":"compute compatibility of pattern with given head check "},"Lean.Elab.Term.Quotation.HeadInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L1-L1","name":"Lean.Elab.Term.Quotation.HeadInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.mk","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.doMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L325-L325","name":"Lean.Elab.Term.Quotation.HeadInfo.doMatch","line":325,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.doMatch","doc":"actually run the specified head check, with the discriminant bound to `__discr` "},"Lean.Elab.Term.Quotation.HeadInfo.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L321-L321","name":"Lean.Elab.Term.Quotation.HeadInfo.check","line":321,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.check","doc":"check induced by the pattern "},"Lean.Elab.Term.Quotation.HeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L319-L325","name":"Lean.Elab.Term.Quotation.HeadInfo","line":319,"kind":"structure","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo","doc":"All necessary information on a pattern head. "},"Lean.Elab.Term.Quotation.HeadCheck.unconditional":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L280-L281","name":"Lean.Elab.Term.Quotation.HeadCheck.unconditional","line":280,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.unconditional","doc":"match step that always succeeds: _, x, `($x), ... "},"Lean.Elab.Term.Quotation.HeadCheck.slice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L290-L293","name":"Lean.Elab.Term.Quotation.HeadCheck.slice","line":290,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.slice","doc":"Match step that succeeds on `null` nodes of arity at least `numPrefix + numSuffix`, introducing discriminants\nfor the first `numPrefix` children, one `null` node for those in between, and for the `numSuffix` last children.\nexample: `([$x, $xs,*, $y]) is `slice 2 2` "},"Lean.Elab.Term.Quotation.HeadCheck.shape":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L282-L289","name":"Lean.Elab.Term.Quotation.HeadCheck.shape","line":282,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.shape","doc":"match step based on kind and, optionally, arity of discriminant\nIf `arity` is given, that number of new discriminants is introduced. `covered` patterns should then introduce the\nsame number of new patterns.\nWe actually check the arity at run time only in the case of `null` nodes since it should otherwise by implied by\nthe node kind.\nwithout arity: `($x:k)\nwith arity: any quotation without an antiquotation head pattern "},"Lean.Elab.Term.Quotation.HeadCheck.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L294-L296","name":"Lean.Elab.Term.Quotation.HeadCheck.other","line":294,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.other","doc":"other, complicated match step that will probably only cover identical patterns\nexample: antiquotation splices `($[...]*) "},"Lean.Elab.Term.Quotation.HeadCheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L279-L296","name":"Lean.Elab.Term.Quotation.HeadCheck","line":279,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck","doc":"In a single match step, we match the first discriminant against the \"head\" of the first pattern of the first\nalternative. This datatype describes what kind of check this involves, which helps other patterns decide if\nthey are covered by the same check and don't have to be checked again (see also `MatchResult`). "},"Lean.Elab.Term.Quotation.ArrayStxBuilder.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L87-L90","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.push","line":87,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.push","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L95-L106","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","line":95,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L81-L81","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","line":81,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.build":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L83-L85","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.build","line":83,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.build","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L92-L93","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.append","line":92,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.append","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Quotation.lean#L77-L77","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder","line":77,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder","doc":"Transform 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structure for storing an type mismatch exception when processing the\npattern #`idx` of some alternative. "},"Lean.Elab.Term.Op.elabUnOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L406-L406","name":"Lean.Elab.Term.Op.elabUnOp","line":406,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabUnOp","doc":""},"Lean.Elab.Term.Op.elabOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L396-L397","name":"Lean.Elab.Term.Op.elabOp","line":396,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabOp","doc":""},"Lean.Elab.Term.Op.elabDefaultOrNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L487-L502","name":"Lean.Elab.Term.Op.elabDefaultOrNonempty","line":487,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabDefaultOrNonempty","doc":""},"Lean.Elab.Term.Op.elabBinRelNoProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L484-L484","name":"Lean.Elab.Term.Op.elabBinRelNoProp","line":484,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelNoProp","doc":""},"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L475-L480","name":"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","line":475,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","doc":"If `noProp == true` and `e` has type `Prop`, then coerce it to `Bool`. "},"Lean.Elab.Term.Op.elabBinRelCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Extra.lean#L416-L480","name":"Lean.Elab.Term.Op.elabBinRelCore","line":416,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore","doc":"Elaboration functionf for `binrel%` and `binrel_no_prop%` notations.\nWe use the infrastructure for `binop%` to make sure we propagate information between the left and right hand sides\nof a binary relation.\n\nRecall that the `binrel_no_prop%` notation is used for relations such as `==` which do not support `Prop`, but\nwe still want to be able to write `(5 > 2) == (2 > 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arguments created using the notation `(x := val)` "},"Lean.Elab.Term.MutualClosure.pushMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L628-L641","name":"Lean.Elab.Term.MutualClosure.pushMain","line":628,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushMain","doc":""},"Lean.Elab.Term.MutualClosure.pushLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L643-L659","name":"Lean.Elab.Term.MutualClosure.pushLetRecs","line":643,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L678-L704","name":"Lean.Elab.Term.MutualClosure.main","line":678,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.main","doc":"- 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lifted\n"},"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L612-L614","name":"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","line":612,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","doc":""},"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L617-L619","name":"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","line":617,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L665-L669","name":"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","line":665,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getKindForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L661-L663","name":"Lean.Elab.Term.MutualClosure.getKindForLetRecs","line":661,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getKindForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.UsedFVarsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/MutualDef.lean#L318-L318","name":"Lean.Elab.Term.MutualClosure.UsedFVarsMap","line":318,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.UsedFVarsMap","doc":"A 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metavariables.\n"},"Lean.Elab.Term.LetRecView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.mk","doc":""},"Lean.Elab.Term.LetRecView.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L26-L26","name":"Lean.Elab.Term.LetRecView.decls","line":26,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.decls","doc":""},"Lean.Elab.Term.LetRecView.body":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L27-L27","name":"Lean.Elab.Term.LetRecView.body","line":27,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.body","doc":""},"Lean.Elab.Term.LetRecView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L25-L27","name":"Lean.Elab.Term.LetRecView","line":25,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView","doc":""},"Lean.Elab.Term.LetRecToLift.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L96-L96","name":"Lean.Elab.Term.LetRecToLift.val","line":96,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.val","doc":""},"Lean.Elab.Term.LetRecToLift.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L95-L95","name":"Lean.Elab.Term.LetRecToLift.type","line":95,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.type","doc":""},"Lean.Elab.Term.LetRecToLift.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L91-L91","name":"Lean.Elab.Term.LetRecToLift.shortDeclName","line":91,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.shortDeclName","doc":""},"Lean.Elab.Term.LetRecToLift.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L88-L88","name":"Lean.Elab.Term.LetRecToLift.ref","line":88,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.ref","doc":""},"Lean.Elab.Term.LetRecToLift.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L97-L97","name":"Lean.Elab.Term.LetRecToLift.mvarId","line":97,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mvarId","doc":""},"Lean.Elab.Term.LetRecToLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.LetRecToLift.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mk","doc":""},"Lean.Elab.Term.LetRecToLift.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L94-L94","name":"Lean.Elab.Term.LetRecToLift.localInstances","line":94,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.localInstances","doc":""},"Lean.Elab.Term.LetRecToLift.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L93-L93","name":"Lean.Elab.Term.LetRecToLift.lctx","line":93,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.lctx","doc":""},"Lean.Elab.Term.LetRecToLift.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L89-L89","name":"Lean.Elab.Term.LetRecToLift.fvarId","line":89,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.fvarId","doc":""},"Lean.Elab.Term.LetRecToLift.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L92-L92","name":"Lean.Elab.Term.LetRecToLift.declName","line":92,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.declName","doc":""},"Lean.Elab.Term.LetRecToLift.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L90-L90","name":"Lean.Elab.Term.LetRecToLift.attrs","line":90,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.attrs","doc":""},"Lean.Elab.Term.LetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L87-L98","name":"Lean.Elab.Term.LetRecToLift","line":87,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift","doc":"Nested `let rec` expressions are eagerly lifted by the elaborator.\nWe store the information necessary for performing the lifting here.\n"},"Lean.Elab.Term.LetRecDeclView.valStx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L23-L23","name":"Lean.Elab.Term.LetRecDeclView.valStx","line":23,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.valStx","doc":""},"Lean.Elab.Term.LetRecDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L21-L21","name":"Lean.Elab.Term.LetRecDeclView.type","line":21,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.type","doc":""},"Lean.Elab.Term.LetRecDeclView.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L18-L18","name":"Lean.Elab.Term.LetRecDeclView.shortDeclName","line":18,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.shortDeclName","doc":""},"Lean.Elab.Term.LetRecDeclView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L16-L16","name":"Lean.Elab.Term.LetRecDeclView.ref","line":16,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.ref","doc":""},"Lean.Elab.Term.LetRecDeclView.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L22-L22","name":"Lean.Elab.Term.LetRecDeclView.mvar","line":22,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mvar","doc":""},"Lean.Elab.Term.LetRecDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mk","doc":""},"Lean.Elab.Term.LetRecDeclView.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L19-L19","name":"Lean.Elab.Term.LetRecDeclView.declName","line":19,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.declName","doc":""},"Lean.Elab.Term.LetRecDeclView.binderIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L20-L20","name":"Lean.Elab.Term.LetRecDeclView.binderIds","line":20,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.binderIds","doc":""},"Lean.Elab.Term.LetRecDeclView.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L17-L17","name":"Lean.Elab.Term.LetRecDeclView.attrs","line":17,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.attrs","doc":""},"Lean.Elab.Term.LetRecDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/LetRec.lean#L15-L23","name":"Lean.Elab.Term.LetRecDeclView","line":15,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView","doc":""},"Lean.Elab.Term.LetIdDeclView.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L692-L692","name":"Lean.Elab.Term.LetIdDeclView.value","line":692,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.value","doc":""},"Lean.Elab.Term.LetIdDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L691-L691","name":"Lean.Elab.Term.LetIdDeclView.type","line":691,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.type","doc":""},"Lean.Elab.Term.LetIdDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.LetIdDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.mk","doc":""},"Lean.Elab.Term.LetIdDeclView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L689-L689","name":"Lean.Elab.Term.LetIdDeclView.id","line":689,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.id","doc":""},"Lean.Elab.Term.LetIdDeclView.binders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L690-L690","name":"Lean.Elab.Term.LetIdDeclView.binders","line":690,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.binders","doc":""},"Lean.Elab.Term.LetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L688-L692","name":"Lean.Elab.Ter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inductive datatype that represents the resolution of an `LVal`. "},"Lean.Elab.Term.LVal.isFieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L385-L387","name":"Lean.Elab.Term.LVal.isFieldName","line":385,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.isFieldName","doc":""},"Lean.Elab.Term.LVal.getRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L381-L383","name":"Lean.Elab.Term.LVal.getRef","line":381,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.getRef","doc":""},"Lean.Elab.Term.LVal.fieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L377-L379","name":"Lean.Elab.Term.LVal.fieldName","line":377,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldName","doc":"Field `suffix?` is for producing better error messages because `x.y` may be a field access or a hierarchical/composite name.\n`ref` is the syntax object representing the field. `targetStx` is the target object being accessed. "},"Lean.Elab.Term.LVal.fieldIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L376-L376","name":"Lean.Elab.Term.LVal.fieldIdx","line":376,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldIdx","doc":""},"Lean.Elab.Term.LVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L375-L379","name":"Lean.Elab.Term.LVal","line":375,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal","doc":"Auxiliary datatype for presenting a Lean lvalue modifier.\nWe represent an unelaborated lvalue as a `Syntax` (or `Expr`) and `List LVal`.\nExample: `a.foo.1` is represented as the `Syntax` `a` and the list\n`[LVal.fieldName \"foo\", LVal.fieldIdx 1]`.\n"},"Lean.Elab.Term.GeneralizeResult.toClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L820-L820","name":"Lean.Elab.Term.GeneralizeResult.toClear","line":820,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.toClear","doc":"`FVarId`s of the variables that have been generalized. We store them to clear after in each branch. "},"Lean.Elab.Term.GeneralizeResult.refined":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L823-L823","name":"Lean.Elab.Term.GeneralizeResult.refined","line":823,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.refined","doc":""},"Lean.Elab.Term.GeneralizeResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.GeneralizeResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.mk","doc":""},"Lean.Elab.Term.GeneralizeResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L821-L821","name":"Lean.Elab.Term.GeneralizeResult.matchType","line":821,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.matchType","doc":""},"Lean.Elab.Term.GeneralizeResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L818-L818","name":"Lean.Elab.Term.GeneralizeResult.discrs","line":818,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.discrs","doc":""},"Lean.Elab.Term.GeneralizeResult.altViews":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L822-L822","name":"Lean.Elab.Term.GeneralizeResult.altViews","line":822,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.altViews","doc":""},"Lean.Elab.Term.GeneralizeResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L817-L823","name":"Lean.Elab.Term.GeneralizeResult","line":817,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult","doc":""},"Lean.Elab.Term.FunBinders.elabFunBindersAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L433-L439","name":"Lean.Elab.Term.FunBinders.elabFunBindersAux","line":433,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.elabFunBindersAux","doc":""},"Lean.Elab.Term.FunBinders.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.FunBinders.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.mk","doc":""},"Lean.Elab.Term.FunBinders.State.localInsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L388-L388","name":"Lean.Elab.Term.FunBinders.State.localInsts","line":388,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.localInsts","doc":""},"Lean.Elab.Term.FunBinders.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L387-L387","name":"Lean.Elab.Term.FunBinders.State.lctx","line":387,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.lctx","doc":""},"Lean.Elab.Term.FunBinders.State.fvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L386-L386","name":"Lean.Elab.Term.FunBinders.State.fvars","line":386,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.fvars","doc":""},"Lean.Elab.Term.FunBinders.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L389-L389","name":"Lean.Elab.Term.FunBinders.State.expectedType?","line":389,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.expectedType?","doc":""},"Lean.Elab.Term.FunBinders.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L385-L389","name":"Lean.Elab.Term.FunBinders.State","line":385,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State","doc":""},"Lean.Elab.Term.ExtractMonadResult.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L90-L90","name":"Lean.Elab.Term.ExtractMonadResult.returnType","line":90,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.returnType","doc":""},"Lean.Elab.Term.ExtractMonadResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.ExtractMonadResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.mk","doc":""},"Lean.Elab.Term.ExtractMonadResult.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L89-L89","name":"Lean.Elab.Term.ExtractMonadResult.m","line":89,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.m","doc":""},"Lean.Elab.Term.ExtractMonadResult.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L91-L91","name":"Lean.Elab.Term.ExtractMonadResult.expectedType","line":91,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.expectedType","doc":""},"Lean.Elab.Term.ExtractMonadResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L88-L91","name":"Lean.Elab.Term.ExtractMonadResult","line":88,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L65-L65","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","line":65,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L68-L68","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","line":68,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","doc":"`true` when performing dependent elimination. We use this to decide whether we optimize the \"match unit\" case.\nSee `isMatchUnit?`. "},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L64-L64","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","line":64,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L69-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","line":69,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L63-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","line":63,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","doc":""},"Lean.Elab.Term.ElabElim.setMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L817-L818","name":"Lean.Elab.Term.ElabElim.setMotive","line":817,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.setMotive","doc":"Set the `motive` field in the state. "},"Lean.Elab.Term.ElabElim.saveArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L833-L837","name":"Lean.Elab.Term.ElabElim.saveArgInfo","line":833,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.saveArgInfo","doc":"Save information for producing error messages. "},"Lean.Elab.Term.ElabElim.revertArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L749-L759","name":"Lean.Elab.Term.ElabElim.revertArgs","line":749,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.revertArgs","doc":"If the eliminator is over-applied, we \"revert\" the extra arguments. "},"Lean.Elab.Term.ElabElim.mkMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L740-L746","name":"Lean.Elab.Term.ElabElim.mkMotive","line":740,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkMotive","doc":"Infer the `motive` using the expected type by `kabstract`ing the discriminants. "},"Lean.Elab.Term.ElabElim.mkImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L840-L844","name":"Lean.Elab.Term.ElabElim.mkImplicitArg","line":840,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkImplicitArg","doc":"Create an implicit argument using the given `BinderInfo`. "},"Lean.Elab.Term.ElabElim.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L847-L873","name":"Lean.Elab.Term.ElabElim.main","line":847,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.main","doc":"Main loop of the `elimAsElab` procedure. "},"Lean.Elab.Term.ElabElim.getNextArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L801-L814","name":"Lean.Elab.Term.ElabElim.getNextArg?","line":801,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.getNextArg?","doc":"Return the next argument to be processed.\nThe result is `.none` if it is an implicit argument which was not provided using a named argument.\nThe result is `.undef` if `args` is empty and `namedArgs` does contain an entry for `binderName`.\n"},"Lean.Elab.Term.ElabElim.finalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L765-L794","name":"Lean.Elab.Term.ElabElim.finalize","line":765,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.finalize","doc":"Construct the resulting application after all discriminants have bee elaborated, and we have\nconsumed as many given arguments as possible.\n"},"Lean.Elab.Term.ElabElim.addDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L821-L822","name":"Lean.Elab.Term.ElabElim.addDiscr","line":821,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.addDiscr","doc":"Push the given expression into the `discrs` field in the state. "},"Lean.Elab.Term.ElabElim.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L725-L725","name":"Lean.Elab.Term.ElabElim.State.namedArgs","line":725,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.namedArgs","doc":"User-provided named arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State.motive?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L735-L735","name":"Lean.Elab.Term.ElabElim.State.motive?","line":735,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.motive?","doc":"Store the metavariable used to represent the motive that will be computed at `finalize`. "},"Lean.Elab.Term.ElabElim.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.mk","doc":""},"Lean.Elab.Term.ElabElim.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L731-L731","name":"Lean.Elab.Term.ElabElim.State.instMVars","line":731,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.instMVars","doc":"Instance implicit arguments collected so far. "},"Lean.Elab.Term.ElabElim.State.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L733-L733","name":"Lean.Elab.Term.ElabElim.State.idx","line":733,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.idx","doc":"Position of the next argument to be processed. We use it to decide whether the argument is the motive or a discriminant. "},"Lean.Elab.Term.ElabElim.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L723-L723","name":"Lean.Elab.Term.ElabElim.State.fType","line":723,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.fType","doc":"`f : fType "},"Lean.Elab.Term.ElabElim.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L721-L721","name":"Lean.Elab.Term.ElabElim.State.f","line":721,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.f","doc":"The resultant expression being built. "},"Lean.Elab.Term.ElabElim.State.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L729-L729","name":"Lean.Elab.Term.ElabElim.State.discrs","line":729,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.discrs","doc":"Discriminants processed so far. "},"Lean.Elab.Term.ElabElim.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L727-L727","name":"Lean.Elab.Term.ElabElim.State.args","line":727,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.args","doc":"User-provided arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L719-L735","name":"Lean.Elab.Term.ElabElim.State","line":719,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State","doc":"State of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabElim.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L737-L737","name":"Lean.Elab.Term.ElabElim.M","line":737,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.M","doc":""},"Lean.Elab.Term.ElabElim.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.mk","doc":""},"Lean.Elab.Term.ElabElim.Context.extraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L716-L716","name":"Lean.Elab.Term.ElabElim.Context.extraArgsPos","line":716,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.extraArgsPos","doc":"Position of additional arguments that should be elaborated eagerly\nbecause they can contribute to the motive inference procedure.\nFor example, in the following theorem the argument `h : a = b`\nshould be elaborated eagerly because it contains `b` which occurs\nin `motive b`.\n```\ntheorem Eq.subst' {α} {motive : α → Prop} {a b : α} (h : a = b) : motive a → motive b\n```\n"},"Lean.Elab.Term.ElabElim.Context.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L705-L705","name":"Lean.Elab.Term.ElabElim.Context.expectedType","line":705,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.expectedType","doc":""},"Lean.Elab.Term.ElabElim.Context.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L704-L704","name":"Lean.Elab.Term.ElabElim.Context.elimInfo","line":704,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.elimInfo","doc":""},"Lean.Elab.Term.ElabElim.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L703-L716","name":"Lean.Elab.Term.ElabElim.Context","line":703,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context","doc":"Context of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L174-L181","name":"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","line":174,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet stay in the `instMVars` list.\nRemark: we use this method\n - before trying to apply coercions to function,\n - before unifying the expected type.\n"},"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L187-L189","name":"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","line":187,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet are registered.\n"},"Lean.Elab.Term.ElabAppArgs.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L654-L676","name":"Lean.Elab.Term.ElabAppArgs.main","line":654,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.main","doc":"Elaborate function application arguments. "},"Lean.Elab.Term.ElabAppArgs.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L226-L227","name":"Lean.Elab.Term.ElabAppArgs.eraseNamedArg","line":226,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.eraseNamedArg","doc":"Remove named argument with name `binderName` from `namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L147-L147","name":"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","line":147,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","doc":"Metavariables that we need to set the error context using the application being built. "},"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L159-L159","name":"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","line":159,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","doc":"If the result type may be the `outParam` of some local instance.\nSee comment at `Context.resultIsOutParamSupport`\n"},"Lean.Elab.Term.ElabAppArgs.State.propagateExpected":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L154-L154","name":"Lean.Elab.Term.ElabAppArgs.State.propagateExpected","line":154,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.propagateExpected","doc":"The following field is used to implement the `propagateExpectedType` heuristic.\nIt is set to `true` true when `expectedType` still has to be propagated.\n"},"Lean.Elab.Term.ElabAppArgs.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L132-L132","name":"Lean.Elab.Term.ElabAppArgs.State.namedArgs","line":132,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.namedArgs","doc":"remaining named arguments to be processed. "},"Lean.Elab.Term.ElabAppArgs.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L149-L149","name":"Lean.Elab.Term.ElabAppArgs.State.instMVars","line":149,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.instMVars","doc":"Metavariables for the instance implicit arguments that have already been processed. "},"Lean.Elab.Term.ElabAppArgs.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L128-L128","name":"Lean.Elab.Term.ElabAppArgs.State.fType","line":128,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.fType","doc":""},"Lean.Elab.Term.ElabAppArgs.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L127-L127","name":"Lean.Elab.Term.ElabAppArgs.State.f","line":127,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.f","doc":""},"Lean.Elab.Term.ElabAppArgs.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L133-L133","name":"Lean.Elab.Term.ElabAppArgs.State.expectedType?","line":133,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.expectedType?","doc":""},"Lean.Elab.Term.ElabAppArgs.State.etaArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L145-L145","name":"Lean.Elab.Term.ElabAppArgs.State.etaArgs","line":145,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.etaArgs","doc":"When named arguments are provided and explicit arguments occurring before them are missing,\nthe elaborator eta-expands the declaration. For example,\n```\ndef f (x y : Nat) := x + y\n#check f (y := 5)\n-- fun x => f x 5\n```\n`etaArgs` stores the fresh free variables for implementing the eta-expansion.\nWhen `..` is used, eta-expansion is disabled, and missing arguments are treated as `_`.\n"},"Lean.Elab.Term.ElabAppArgs.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L130-L130","name":"Lean.Elab.Term.ElabAppArgs.State.args","line":130,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.args","doc":"Remaining regular arguments. "},"Lean.Elab.Term.ElabAppArgs.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L126-L159","name":"Lean.Elab.Term.ElabAppArgs.State","line":126,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State","doc":"Auxiliary structure for elaborating the application `f args namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L161-L161","name":"Lean.Elab.Term.ElabAppArgs.M","line":161,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.M","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L123-L123","name":"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","line":123,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","doc":"If the result type of an application is the `outParam` of some local instance, then special support may be needed\nbecause type class resolution interacts poorly with coercions in this kind of situation.\nThis flag enables the special support.\n\nThe idea is quite simple, if the result type is the `outParam` of some local instance, we simply\nexecute `synthesizeSyntheticMVarsUsingDefault`. We added this feature to make sure examples as follows\nare correctly elaborated.\n```lean\nclass GetElem (Cont : Type u) (Idx : Type v) (Elem : outParam (Type w)) where\n getElem (xs : Cont) (i : Idx) : Elem\n\nexport GetElem (getElem)\n\ninstance : GetElem (Array α) Nat α where\n getElem xs i := xs.get ⟨i, sorry⟩\n\nopaque f : Option Bool → Bool\nopaque g : Bool → Bool\n\ndef bad (xs : Array Bool) : Bool :=\n let x := getElem xs 0\n f x && g x\n```\nWithout the special support, Lean fails at `g x` saying `x` has type `Option Bool` but is expected to have type `Bool`.\nFrom the user's point of view this is a bug, since `let x := getElem xs 0` clearly constrains `x` to be `Bool`, but\nwe only obtain this information after we apply the `OfNat` default instance for `0`.\n\nBefore converging to this solution, we have tried to create a \"coercion placeholder\" when `resultIsOutParamSupport = true`,\nbut it did not work well in practice. For example, it failed in the example above.\n"},"Lean.Elab.Term.ElabAppArgs.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L91-L91","name":"Lean.Elab.Term.ElabAppArgs.Context.explicit","line":91,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.explicit","doc":"`true` if `@` modifier was used\n"},"Lean.Elab.Term.ElabAppArgs.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L87-L87","name":"Lean.Elab.Term.ElabAppArgs.Context.ellipsis","line":87,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.ellipsis","doc":"`true` if `..` was used\n"},"Lean.Elab.Term.ElabAppArgs.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/App.lean#L83-L123","name":"Lean.Elab.Term.ElabAppArgs.Context","line":83,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context","doc":""},"Lean.Elab.Term.Do.pullExitPointsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L374-L390","name":"Lean.Elab.Term.Do.pullExitPointsAux","line":374,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPointsAux","doc":"`pullExitPointsAux rs c` auxiliary method for `pullExitPoints`, `rs` is the set of update variable in the current path. "},"Lean.Elab.Term.Do.pullExitPoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L441-L446","name":"Lean.Elab.Term.Do.pullExitPoints","line":441,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPoints","doc":"Auxiliary operation for adding new variables to the collection of updated variables in a CodeBlock.\nWhen a new variable is not already in the collection, but is shadowed by some declaration in `c`,\nwe create auxiliary join points to make sure we preserve the semantics of the code block.\nExample: suppose we have the code block `print x; let x := 10; return x`. And we want to extend it\nwith the reassignment `x := x + 1`. We first use `pullExitPoints` to create\n```\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nand then we add the reassignment\n```\nx := x + 1\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nNote that we created a fresh variable `x!1` to avoid accidental name capture.\nAs another example, consider\n```\nprint x;\nlet x := 10\ny := y + 1;\nreturn x;\n```\nWe transform it into\n```\nlet jp (y x!1) := return x!1;\nprint x;\nlet x := 10\ny := y + 1;\njmp jp y x\n```\nand then we add the reassignment as in the previous example.\nWe need to include `y` in the jump, because each exit point is implicitly returning the set of\nupdate variables.\n\nWe implement the method as follows. Let `us` be `c.uvars`, then\n1- for each `return _ y` in `c`, we create a join point\n `let j (us y!1) := return y!1`\n and replace the `return _ y` with `jmp us y`\n2- for each `break`, we create a join point\n `let j (us) := break`\n and replace the `break` with `jmp us`.\n3- Same as 2 for `continue`.\n"},"Lean.Elab.Term.Do.mkVarDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L509-L512","name":"Lean.Elab.Term.Do.mkVarDeclCore","line":509,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkVarDeclCore","doc":"Extending code blocks with variable declarations: `let x : t := v` and `let x : t ← v`.\nWe remove `x` from the collection of updated varibles.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `let (x, y) := t`\n"},"Lean.Elab.Term.Do.mkUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L560-L562","name":"Lean.Elab.Term.Do.mkUnless","line":560,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkUnless","doc":""},"Lean.Elab.Term.Do.mkTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L531-L532","name":"Lean.Elab.Term.Do.mkTerminalAction","line":531,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkTerminalAction","doc":""},"Lean.Elab.Term.Do.mkSimpleJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L351-L358","name":"Lean.Elab.Term.Do.mkSimpleJmp","line":351,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSimpleJmp","doc":"Create a new jointpoint for `c`, and jump to it with the variables `rs` "},"Lean.Elab.Term.Do.mkSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L528-L529","name":"Lean.Elab.Term.Do.mkSeq","line":528,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSeq","doc":""},"Lean.Elab.Term.Do.mkReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L534-L535","name":"Lean.Elab.Term.Do.mkReturn","line":534,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReturn","doc":""},"Lean.Elab.Term.Do.mkReassignCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L520-L526","name":"Lean.Elab.Term.Do.mkReassignCore","line":520,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReassignCore","doc":"Extending code blocks with reassignments: `x : t := v` and `x : t ← v`.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `(x, y) ← t`\n"},"Lean.Elab.Term.Do.mkPureUnitAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L557-L558","name":"Lean.Elab.Term.Do.mkPureUnitAction","line":557,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkPureUnitAction","doc":""},"Lean.Elab.Term.Do.mkMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L564-L570","name":"Lean.Elab.Term.Do.mkMatch","line":564,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkMatch","doc":""},"Lean.Elab.Term.Do.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L363-L371","name":"Lean.Elab.Term.Do.mkJmp","line":363,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkJmp","doc":"Create a new joinpoint that takes `rs` and `val` as arguments. `val` must be syntax representing a pure value.\nThe body of the joinpoint is created using `mkJPBody yFresh`, where `yFresh`\nis a fresh variable created by this method. "},"Lean.Elab.Term.Do.mkIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L543-L549","name":"Lean.Elab.Term.Do.mkIte","line":543,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkIte","doc":""},"Lean.Elab.Term.Do.mkFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L322-L332","name":"Lean.Elab.Term.Do.mkFreshJP","line":322,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkFreshJP","doc":""},"Lean.Elab.Term.Do.mkDoSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L687-L688","name":"Lean.Elab.Term.Do.mkDoSeq","line":687,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkDoSeq","doc":""},"Lean.Elab.Term.Do.mkContinue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L540-L541","name":"Lean.Elab.Term.Do.mkContinue","line":540,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkContinue","doc":""},"Lean.Elab.Term.Do.mkBreak":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L537-L538","name":"Lean.Elab.Term.Do.mkBreak","line":537,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkBreak","doc":""},"Lean.Elab.Term.Do.mkAuxDeclFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L286-L292","name":"Lean.Elab.Term.Do.mkAuxDeclFor","line":286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkAuxDeclFor","doc":""},"Lean.Elab.Term.Do.isMutableLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1162-L1166","name":"Lean.Elab.Term.Do.isMutableLet","line":1162,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.isMutableLet","doc":""},"Lean.Elab.Term.Do.isDoExpr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L743-L747","name":"Lean.Elab.Term.Do.isDoExpr?","line":743,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.isDoExpr?","doc":"Return 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`"},"Lean.Elab.Term.Do.instInhabitedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L201-L201","name":"Lean.Elab.Term.Do.instInhabitedCode","line":201,"kind":"instance","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.instInhabitedCode","doc":""},"Lean.Elab.Term.Do.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L137-L137","name":"Lean.Elab.Term.Do.instInhabitedAlt","line":137,"kind":"instance","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.instInhabitedAlt","doc":""},"Lean.Elab.Term.Do.insertVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L339-L340","name":"Lean.Elab.Term.Do.insertVars","line":339,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.insertVars","doc":""},"Lean.Elab.Term.Do.homogenize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L496-L500","name":"Lean.Elab.Term.Do.homogenize","line":496,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.homogenize","doc":"Given two code blocks `c₁` and `c₂`, make sure they have the same set of updated variables.\nLet `ws` the union of the updated variables in `c₁‵ and ‵c₂`.\nWe use `extendUpdatedVars c₁ ws` and `extendUpdatedVars c₂ ws`\n"},"Lean.Elab.Term.Do.hasTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L268-L271","name":"Lean.Elab.Term.Do.hasTerminalAction","line":268,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasTerminalAction","doc":""},"Lean.Elab.Term.Do.hasReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L263-L266","name":"Lean.Elab.Term.Do.hasReturn","line":263,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasReturn","doc":""},"Lean.Elab.Term.Do.hasExitPointPred.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L249-L257","name":"Lean.Elab.Term.Do.hasExitPointPred.loop","line":249,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred.loop","doc":""},"Lean.Elab.Term.Do.hasExitPointPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L248-L258","name":"Lean.Elab.Term.Do.hasExitPointPred","line":248,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred","doc":"Return true if the give code contains an exit point that satisfies `p` "},"Lean.Elab.Term.Do.hasExitPoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L260-L261","name":"Lean.Elab.Term.Do.hasExitPoint","line":260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPoint","doc":""},"Lean.Elab.Term.Do.hasBreakContinueReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L279-L284","name":"Lean.Elab.Term.Do.hasBreakContinueReturn","line":279,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasBreakContinueReturn","doc":""},"Lean.Elab.Term.Do.hasBreakContinue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L273-L277","name":"Lean.Elab.Term.Do.hasBreakContinue","line":273,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasBreakContinue","doc":""},"Lean.Elab.Term.Do.getPatternsVarsEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L598-L600","name":"Lean.Elab.Term.Do.getPatternsVarsEx","line":598,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getPatternsVarsEx","doc":""},"Lean.Elab.Term.Do.getPatternVarsEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L594-L596","name":"Lean.Elab.Term.Do.getPatternVarsEx","line":594,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getPatternVarsEx","doc":""},"Lean.Elab.Term.Do.getLetPatDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L602-L604","name":"Lean.Elab.Term.Do.getLetPatDeclVars","line":602,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetPatDeclVars","doc":""},"Lean.Elab.Term.Do.getLetIdDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L587-L591","name":"Lean.Elab.Term.Do.getLetIdDeclVars","line":587,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetIdDeclVars","doc":""},"Lean.Elab.Term.Do.getLetEqnsDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L606-L610","name":"Lean.Elab.Term.Do.getLetEqnsDeclVars","line":606,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetEqnsDeclVars","doc":""},"Lean.Elab.Term.Do.getLetDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L612-L621","name":"Lean.Elab.Term.Do.getLetDeclVars","line":612,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getLetDeclVars","doc":""},"Lean.Elab.Term.Do.getHaveIdLhsVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L627-L631","name":"Lean.Elab.Term.Do.getHaveIdLhsVar","line":627,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getHaveIdLhsVar","doc":""},"Lean.Elab.Term.Do.getDoReassignVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L678-L685","name":"Lean.Elab.Term.Do.getDoReassignVars","line":678,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoReassignVars","doc":""},"Lean.Elab.Term.Do.getDoPatDeclVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L664-L666","name":"Lean.Elab.Term.Do.getDoPatDeclVars","line":664,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoPatDeclVars","doc":""},"Lean.Elab.Term.Do.getDoLetVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L623-L625","name":"Lean.Elab.Term.Do.getDoLetVars","line":623,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetVars","doc":""},"Lean.Elab.Term.Do.getDoLetRecVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L649-L657","name":"Lean.Elab.Term.Do.getDoLetRecVars","line":649,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetRecVars","doc":""},"Lean.Elab.Term.Do.getDoLetArrowVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L669-L676","name":"Lean.Elab.Term.Do.getDoLetArrowVars","line":669,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoLetArrowVars","doc":""},"Lean.Elab.Term.Do.getDoIdDeclVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L660-L661","name":"Lean.Elab.Term.Do.getDoIdDeclVar","line":660,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoIdDeclVar","doc":""},"Lean.Elab.Term.Do.getDoHaveVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L633-L647","name":"Lean.Elab.Term.Do.getDoHaveVars","line":633,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoHaveVars","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L449-L473","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux.update","line":449,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux.update","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L448-L474","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux","line":448,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux","doc":""},"Lean.Elab.Term.Do.extendUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L481-L486","name":"Lean.Elab.Term.Do.extendUpdatedVars","line":481,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVars","doc":"Extend the set of updated variables. It assumes `ws` is a super set of `c.uvars`.\nWe **cannot** simply update the field `c.uvars`, because `c` may have shadowed some variable in `ws`.\nSee discussion at `pullExitPoints`.\n"},"Lean.Elab.Term.Do.eraseVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L342-L343","name":"Lean.Elab.Term.Do.eraseVars","line":342,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseVars","doc":""},"Lean.Elab.Term.Do.eraseOptVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L345-L348","name":"Lean.Elab.Term.Do.eraseOptVar","line":345,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseOptVar","doc":""},"Lean.Elab.Term.Do.elabDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1676-L1684","name":"Lean.Elab.Term.Do.elabDo","line":1676,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.elabDo","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L296-L308","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","line":296,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L295-L309","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp","line":295,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp","doc":"Convert `action _ e` instructions in `c` into `let y ← e; jmp _ jp (xs y)`. "},"Lean.Elab.Term.Do.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L574-L585","name":"Lean.Elab.Term.Do.concat","line":574,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.concat","doc":"Return a code block that executes `terminal` and then `k` with the value produced by `terminal`.\nThis method assumes `terminal` is a terminal "},"Lean.Elab.Term.Do.attachJPs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L319-L320","name":"Lean.Elab.Term.Do.attachJPs","line":319,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJPs","doc":""},"Lean.Elab.Term.Do.attachJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L316-L317","name":"Lean.Elab.Term.Do.attachJP","line":316,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJP","doc":""},"Lean.Elab.Term.Do.annotate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L885-L886","name":"Lean.Elab.Term.Do.annotate","line":885,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.annotate","doc":"Helper method for annotating `term` with the raw syntax `ref`.\nWe use this method to implement finer-grained term infos for `do`-blocks.\n\nWe use `withRef term` to make sure the synthetic position for the `with_annotate_term` is equal\nto the one for `term`. This is important for producing error messages when there is a type mismatch.\nConsider the following example:\n```\nopaque f : IO Nat\n\ndef g : IO String := do\n f\n```\nThere is at type mismatch at `f`, but it is detected when elaborating the expanded term\ncontaining the `with_annotate_term .. f`. The current `getRef` when this `annotate` is invoked\nis not necessarily `f`. Actually, it is the whole `do`-block. By using `withRef` we ensure\nthe synthetic position for the `with_annotate_term ..` is equal to `term`.\nRecall that synthetic positions are used when generating error messages.\n"},"Lean.Elab.Term.Do.addFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L334-L337","name":"Lean.Elab.Term.Do.addFreshJP","line":334,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.addFreshJP","doc":""},"Lean.Elab.Term.Do.VarSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L216-L216","name":"Lean.Elab.Term.Do.VarSet","line":216,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.VarSet","doc":""},"Lean.Elab.Term.Do.Var":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L129-L129","name":"Lean.Elab.Term.Do.Var","line":129,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Var","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1063-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm.go","line":1063,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm.go","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1056-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm","line":1056,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.seqToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L967-L976","name":"Lean.Elab.Term.Do.ToTerm.seqToTerm","line":967,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.seqToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1084-L1085","name":"Lean.Elab.Term.Do.ToTerm.run","line":1084,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.run","doc":""},"Lean.Elab.Term.Do.ToTerm.returnToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L919-L929","name":"Lean.Elab.Term.Do.ToTerm.returnToTerm","line":919,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.returnToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.reassignToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1009-L1015","name":"Lean.Elab.Term.Do.ToTerm.reassignToTerm","line":1009,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.reassignToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkUVarTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L915-L917","name":"Lean.Elab.Term.Do.ToTerm.mkUVarTuple","line":915,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkUVarTuple","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1104-L1105","name":"Lean.Elab.Term.Do.ToTerm.mkNestedTerm","line":1104,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1093-L1102","name":"Lean.Elab.Term.Do.ToTerm.mkNestedKind","line":1093,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedKind","doc":"Given\n- `a` is true if the code block has a `Code.action _` exit point\n- `r` is true if the code block has a `Code.return _ _` exit point\n- `bc` is true if the code block has a `Code.break _` or `Code.continue _` exit point\n\ngenerate Kind. See comment at the beginning of the `ToTerm` namespace. 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"},"Lean.Elab.Term.Do.ToTerm.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToTerm.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.mk","doc":""},"Lean.Elab.Term.Do.ToTerm.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L907-L907","name":"Lean.Elab.Term.Do.ToTerm.Context.m","line":907,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.m","doc":"Syntax to reference the monad associated with the do notation. "},"Lean.Elab.Term.Do.ToTerm.Context.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L911-L911","name":"Lean.Elab.Term.Do.ToTerm.Context.kind","line":911,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.kind","doc":""},"Lean.Elab.Term.Do.ToTerm.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L905-L911","name":"Lean.Elab.Term.Do.ToTerm.Context","line":905,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1181-L1182","name":"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","line":1181,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1200-L1201","name":"Lean.Elab.Term.Do.ToCodeBlock.withFor","line":1200,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1294-L1299","name":"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","line":1294,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1671-L1672","name":"Lean.Elab.Term.Do.ToCodeBlock.run","line":1671,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.run","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1207-L1212","name":"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","line":1207,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1286-L1292","name":"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","line":1286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1252-L1258","name":"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","line":1252,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1214-L1216","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","line":1214,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1218-L1220","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","line":1218,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1418-L1423","name":"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","line":1418,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","doc":"Generate `CodeBlock` for `doUnless; doElems`\n`doUnless` is of the form\n```\n\"unless \" >> termParser >> \"do \" >> doSeq\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1544-L1593","name":"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","line":1544,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","doc":"Generate `CodeBlock` for `doTry; doElems`\n```\ndef doTry := leading_parser \"try \" >> doSeq >> many (doCatch <|> doCatchMatch) >> optional doFinally\ndef doCatch := leading_parser \"catch \" >> binderIdent >> optional (\":\" >> termParser) >> darrow >> doSeq\ndef doCatchMatch := leading_parser \"catch \" >> doMatchAlts\ndef doFinally := leading_parser \"finally \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1595-L1668","name":"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","line":1595,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1275-L1279","name":"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","line":1275,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","doc":"Generate `CodeBlock` for `doReturn` which is of the form\n```\n\"return \" >> optional termParser\n```\n`doElems` is only used for sanity checking. "},"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1380-L1397","name":"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","line":1380,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","doc":"Generate `CodeBlock` for `doReassignArrow; doElems`\n`doReassignArrow` is of the form\n```\n(doIdDecl <|> doPatDecl)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1518-L1533","name":"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","line":1518,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","doc":"Generate `CodeBlock` for `doMatch; doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1360-L1372","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","line":1360,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1322-L1358","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","line":1322,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","doc":"Generate `CodeBlock` for `doLetArrow; doElems`\n`doLetArrow` is of the form\n```\n\"let \" >> optional \"mut \" >> (doIdDecl <|> doPatDecl)\n```\nwhere\n```\ndef doIdDecl := leading_parser ident >> optType >> leftArrow >> doElemParser\ndef doPatDecl := leading_parser termParser >> leftArrow >> doElemParser >> optional (\" | \" >> doSeq)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1406-L1411","name":"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","line":1406,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","doc":"Generate `CodeBlock` for `doIf; doElems`\n`doIf` is of the form\n```\n\"if \" >> optIdent >> termParser >> \" then \" >> doSeq\n >> many (group (try (group (\" else \" >> \" if \")) >> optIdent >> termParser >> \" then \" >> doSeq))\n >> optional (\" else \" >> doSeq)\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doForToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1432-L1515","name":"Lean.Elab.Term.Do.ToCodeBlock.doForToCode","line":1432,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doForToCode","doc":"Generate `CodeBlock` for `doFor; doElems`\n`doFor` is of the form\n```\ndef doForDecl := leading_parser termParser >> \" in \" >> withForbidden \"do\" termParser\ndef doFor := leading_parser \"for \" >> sepBy1 doForDecl \", \" >> \"do \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.concatWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1303-L1309","name":"Lean.Elab.Term.Do.ToCodeBlock.concatWith","line":1303,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.concatWith","doc":"\"Concatenate\" `c` with `doSeqToCode doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1184-L1190","name":"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","line":1184,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1192-L1198","name":"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","line":1192,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1260-L1268","name":"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","line":1260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1204-L1204","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","line":1204,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1205-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","line":1205,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1203-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","line":1203,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1179-L1179","name":"Lean.Elab.Term.Do.ToCodeBlock.M","line":1179,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.M","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L1175-L1175","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","line":1175,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","doc":"Syntax to reference the result of the monadic computation performed by the do notation. 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code block, and the collection of variables updated by it. 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We store the variable name at `var?`. "},"Lean.Elab.Term.Do.Code.getRef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L203-L214","name":"Lean.Elab.Term.Do.Code.getRef?","line":203,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.getRef?","doc":""},"Lean.Elab.Term.Do.Code.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L188-L188","name":"Lean.Elab.Term.Do.Code.decl","line":188,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.decl","doc":""},"Lean.Elab.Term.Do.Code.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L195-L195","name":"Lean.Elab.Term.Do.Code.continue","line":195,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.continue","doc":""},"Lean.Elab.Term.Do.Code.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L194-L194","name":"Lean.Elab.Term.Do.Code.break","line":194,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.break","doc":""},"Lean.Elab.Term.Do.Code.action":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L193-L193","name":"Lean.Elab.Term.Do.Code.action","line":193,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.action","doc":""},"Lean.Elab.Term.Do.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L187-L201","name":"Lean.Elab.Term.Do.Code","line":187,"kind":"inductive","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code","doc":"Auxiliary datastructure for representing a `do` code block, and compiling \"reassignments\" (e.g., `x := x + 1`).\nWe convert `Code` into a `Syntax` term representing the:\n- `do`-block, or\n- the visitor argument for the `forIn` combinator.\n\nWe say the following constructors are terminals:\n- `break`: for interrupting a `for x in s`\n- `continue`: for interrupting the current iteration of a `for x in s`\n- `return e`: for returning `e` as the result for the whole `do` computation block\n- `action a`: for executing action `a` as a terminal\n- `ite`: if-then-else\n- `match`: pattern matching\n- `jmp` a goto to a join-point\n\nWe say the terminals `break`, `continue`, `action`, and `return` are \"exit points\"\n\nNote that, `return e` is not equivalent to `action (pure e)`. Here is an example:\n```\ndef f (x : Nat) : IO Unit := do\nif x == 0 then\n return ()\nIO.println \"hello\"\n```\nExecuting `#eval f 0` will not print \"hello\". Now, consider\n```\ndef g (x : Nat) : IO Unit := do\nif x == 0 then\n pure ()\nIO.println \"hello\"\n```\nThe `if` statement is essentially a noop, and \"hello\" is printed when we execute `g 0`.\n\n- `decl` represents all declaration-like `doElem`s (e.g., `let`, `have`, `let rec`).\n The field `stx` is the actual `doElem`,\n `vars` is the array of variables declared by it, and `cont` is the next instruction in the `do` code block.\n `vars` is an array since we have declarations such as `let (a, b) := s`.\n\n- `reassign` is an reassignment-like `doElem` (e.g., `x := x + 1`).\n\n- `joinpoint` is a join point declaration: an auxiliary `let`-declaration used to represent the control-flow.\n\n- `seq a k` executes action `a`, ignores its result, and then executes `k`.\n We also store the do-elements `dbg_trace` and `assert!` as actions in a `seq`.\n\nA code block `C` is well-formed if\n- For every `jmp ref j as` in `C`, there is a `joinpoint j ps b k` and `jmp ref j as` is in `k`, and\n `ps.size == as.size` "},"Lean.Elab.Term.Do.Alt.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L134-L134","name":"Lean.Elab.Term.Do.Alt.vars","line":134,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.vars","doc":""},"Lean.Elab.Term.Do.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L136-L136","name":"Lean.Elab.Term.Do.Alt.rhs","line":136,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.rhs","doc":""},"Lean.Elab.Term.Do.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L133-L133","name":"Lean.Elab.Term.Do.Alt.ref","line":133,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.ref","doc":""},"Lean.Elab.Term.Do.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L135-L135","name":"Lean.Elab.Term.Do.Alt.patterns","line":135,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.patterns","doc":""},"Lean.Elab.Term.Do.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L132-L132","name":"Lean.Elab.Term.Do.Alt.mk","line":132,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.mk","doc":""},"Lean.Elab.Term.Do.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Do.lean#L132-L137","name":"Lean.Elab.Term.Do.Alt","line":132,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt","doc":"A `doMatch` alternative. `vars` is the array of variables declared by `patterns`. "},"Lean.Elab.Term.Discr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.Discr.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.mk","doc":""},"Lean.Elab.Term.Discr.h?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L60-L60","name":"Lean.Elab.Term.Discr.h?","line":60,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.h?","doc":"`some h` if discriminant is annotated with the `h : ` notation. "},"Lean.Elab.Term.Discr.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L58-L58","name":"Lean.Elab.Term.Discr.expr","line":58,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.expr","doc":""},"Lean.Elab.Term.Discr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Match.lean#L57-L61","name":"Lean.Elab.Term.Discr","line":57,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr","doc":""},"Lean.Elab.Term.Context.tacticCache?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L206-L206","name":"Lean.Elab.Term.Context.tacticCache?","line":206,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.tacticCache?","doc":"Cache for the `save` tactic. It is only `some` in the LSP server. "},"Lean.Elab.Term.Context.sectionVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L194-L194","name":"Lean.Elab.Term.Context.sectionVars","line":194,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionVars","doc":"Map from user name to internal unique name "},"Lean.Elab.Term.Context.sectionFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L196-L196","name":"Lean.Elab.Term.Context.sectionFVars","line":196,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionFVars","doc":"Map from internal name to fvar "},"Lean.Elab.Term.Context.saveRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L211-L211","name":"Lean.Elab.Term.Context.saveRecAppSyntax","line":211,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.saveRecAppSyntax","doc":"If `true`, we store in the `Expr` the `Syntax` for recursive applications (i.e., applications\nof free variables tagged with `isAuxDecl`). We store the `Syntax` using `mkRecAppWithSyntax`.\nWe use the `Syntax` object to produce better error messages at `Structural.lean` and `WF.lean`. "},"Lean.Elab.Term.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mk","doc":""},"Lean.Elab.Term.Context.mayPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L166-L166","name":"Lean.Elab.Term.Context.mayPostpone","line":166,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mayPostpone","doc":"When `mayPostpone == true`, an elaboration function may interrupt its execution by throwing `Exception.postpone`.\nThe function `elabTerm` catches this exception and creates fresh synthetic metavariable `?m`, stores `?m` in\nthe list of pending synthetic metavariables, and returns `?m`. "},"Lean.Elab.Term.Context.macroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L161-L161","name":"Lean.Elab.Term.Context.macroStack","line":161,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.macroStack","doc":""},"Lean.Elab.Term.Context.isNoncomputableSection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L200-L200","name":"Lean.Elab.Term.Context.isNoncomputableSection","line":200,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.isNoncomputableSection","doc":"Noncomputable sections automatically add the `noncomputable` modifier to any declaration we cannot generate code for. "},"Lean.Elab.Term.Context.inPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L204-L204","name":"Lean.Elab.Term.Context.inPattern","line":204,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.inPattern","doc":"`true` when elaborating patterns. It affects how we elaborate named holes. "},"Lean.Elab.Term.Context.implicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L198-L198","name":"Lean.Elab.Term.Context.implicitLambda","line":198,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.implicitLambda","doc":"Enable/disable implicit lambdas feature. "},"Lean.Elab.Term.Context.ignoreTCFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L202-L202","name":"Lean.Elab.Term.Context.ignoreTCFailures","line":202,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.ignoreTCFailures","doc":"When `true` we skip TC failures. We use this option when processing patterns. "},"Lean.Elab.Term.Context.holesAsSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L219-L219","name":"Lean.Elab.Term.Context.holesAsSyntheticOpaque","line":219,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.holesAsSyntheticOpaque","doc":"If `holesAsSyntheticOpaque` is `true`, then we mark metavariables associated\nwith `_`s as `synthethicOpaque` if they do not occur in patterns.\nThis option is useful when elaborating terms in tactics such as `refine'` where\nwe want holes there to become new goals. See issue #1681, we have\n`refine' (fun x => _)\n"},"Lean.Elab.Term.Context.errToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L175-L175","name":"Lean.Elab.Term.Context.errToSorry","line":175,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.errToSorry","doc":"When `errToSorry` is set to true, the method `elabTerm` catches\nexceptions and converts them into synthetic `sorry`s.\nThe implementation of choice nodes and overloaded symbols rely on the fact\nthat when `errToSorry` is set to false for an elaboration function `F`, then\n`errToSorry` remains `false` for all elaboration functions invoked by `F`.\nThat is, it is safe to transition `errToSorry` from `true` to `false`, but\nwe must not set `errToSorry` to `true` when it is currently set to `false`. "},"Lean.Elab.Term.Context.declName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L156-L156","name":"Lean.Elab.Term.Context.declName?","line":156,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.declName?","doc":""},"Lean.Elab.Term.Context.auxDeclToFullName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L160-L160","name":"Lean.Elab.Term.Context.auxDeclToFullName","line":160,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.auxDeclToFullName","doc":"Map `.auxDecl` local declarations used to encode recursive declarations to their full-names.\n"},"Lean.Elab.Term.Context.autoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L183-L183","name":"Lean.Elab.Term.Context.autoBoundImplicits","line":183,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicits","doc":""},"Lean.Elab.Term.Context.autoBoundImplicitForbidden":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L192-L192","name":"Lean.Elab.Term.Context.autoBoundImplicitForbidden","line":192,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicitForbidden","doc":"A name `n` is only eligible to be an auto implicit name if `autoBoundImplicitForbidden n = false`.\nWe use this predicate to disallow `f` to be considered an auto implicit name in a definition such\nas\n```\ndef f : f → Bool := fun _ => true\n```\n"},"Lean.Elab.Term.Context.autoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L182-L182","name":"Lean.Elab.Term.Context.autoBoundImplicit","line":182,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicit","doc":"When `autoBoundImplicit` is set to true, instead of producing\nan \"unknown identifier\" error for unbound variables, we generate an\ninternal exception. This exception is caught at `elabBinders` and\n`elabTypeWithUnboldImplicit`. Both methods add implicit declarations\nfor the unbound variable and try again. "},"Lean.Elab.Term.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L155-L219","name":"Lean.Elab.Term.Context","line":155,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context","doc":""},"Lean.Elab.Term.ContainsPendingMVar.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L676-L697","name":"Lean.Elab.Term.ContainsPendingMVar.visit","line":676,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.visit","doc":"See `containsPostponedTerm` "},"Lean.Elab.Term.ContainsPendingMVar.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L673-L673","name":"Lean.Elab.Term.ContainsPendingMVar.M","line":673,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.M","doc":""},"Lean.Elab.Term.CollectPatternVars.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L313-L317","name":"Lean.Elab.Term.CollectPatternVars.main","line":313,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.main","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L45-L45","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedState","line":45,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedState","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L75-L75","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedContext","line":75,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L248-L253","name":"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","line":248,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L265-L269","name":"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","line":265,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L233-L246","name":"Lean.Elab.Term.CollectPatternVars.collect.processId","line":233,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processId","doc":"Check whether `stx` is a pattern variable or constructor-like (i.e., constructor or constant tagged with `[match_pattern]` attribute) "},"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L255-L263","name":"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","line":255,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L291-L311","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","line":291,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L271-L289","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","line":271,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L216-L227","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","line":216,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L229-L230","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtor","line":229,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtor","doc":""},"Lean.Elab.Term.CollectPatternVars.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L122-L311","name":"Lean.Elab.Term.CollectPatternVars.collect","line":122,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect","doc":""},"Lean.Elab.Term.CollectPatternVars.State.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L44-L44","name":"Lean.Elab.Term.CollectPatternVars.State.vars","line":44,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.vars","doc":"Pattern variables found so far as an array. It contains the order they were found. "},"Lean.Elab.Term.CollectPatternVars.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.State.found":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L42-L42","name":"Lean.Elab.Term.CollectPatternVars.State.found","line":42,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.found","doc":"Pattern variables found so far. "},"Lean.Elab.Term.CollectPatternVars.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L40-L45","name":"Lean.Elab.Term.CollectPatternVars.State","line":40,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State","doc":"State for the pattern variable collector monad. "},"Lean.Elab.Term.CollectPatternVars.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L47-L47","name":"Lean.Elab.Term.CollectPatternVars.M","line":47,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.M","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L70-L70","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDecls","line":70,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDecls","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L71-L71","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","line":71,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.newArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L74-L74","name":"Lean.Elab.Term.CollectPatternVars.Context.newArgs","line":74,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.newArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L72-L72","name":"Lean.Elab.Term.CollectPatternVars.Context.namedArgs","line":72,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.namedArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.funId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L66-L66","name":"Lean.Elab.Term.CollectPatternVars.Context.funId","line":66,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.funId","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L68-L68","name":"Lean.Elab.Term.CollectPatternVars.Context.explicit","line":68,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.explicit","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L69-L69","name":"Lean.Elab.Term.CollectPatternVars.Context.ellipsis","line":69,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ellipsis","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L67-L67","name":"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","line":67,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L73-L73","name":"Lean.Elab.Term.CollectPatternVars.Context.args","line":73,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.args","doc":""},"Lean.Elab.Term.CollectPatternVars.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PatternVar.lean#L65-L75","name":"Lean.Elab.Term.CollectPatternVars.Context","line":65,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context","doc":""},"Lean.Elab.Term.BinderView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L57-L57","name":"Lean.Elab.Term.BinderView.type","line":57,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.type","doc":""},"Lean.Elab.Term.BinderView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L55-L55","name":"Lean.Elab.Term.BinderView.ref","line":55,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.ref","doc":"Position 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The fresh identifier\nhas synthetic position since it was not written by the user, and we would not get\nhover information for the `_` because we also don't have this macro expansion step\nstored in the info tree. Thus, we store the original `Syntax` in `ref`, and use\nit when storing the binder information in the info tree.\n\nPotential better solution: add a binder syntax category, an extensible `elabBinder`\n(like we have `elabTerm`), and perform all macro expansion steps at `elabBinder` and\nrecord them in the infro tree.\n"},"Lean.Elab.Term.BinderView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.BinderView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.mk","doc":""},"Lean.Elab.Term.BinderView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L56-L56","name":"Lean.Elab.Term.BinderView.id","line":56,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.id","doc":""},"Lean.Elab.Term.BinderView.bi":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L58-L58","name":"Lean.Elab.Term.BinderView.bi","line":58,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.bi","doc":""},"Lean.Elab.Term.BinderView":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Binders.lean#L41-L58","name":"Lean.Elab.Term.BinderView","line":41,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView","doc":"Auxiliary datatype for elaborating binders. "},"Lean.Elab.Term.Arg.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L14-L14","name":"Lean.Elab.Term.Arg.stx","line":14,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.stx","doc":""},"Lean.Elab.Term.Arg.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L15-L15","name":"Lean.Elab.Term.Arg.expr","line":15,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.expr","doc":""},"Lean.Elab.Term.Arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Arg.lean#L13-L16","name":"Lean.Elab.Term.Arg","line":13,"kind":"inductive","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg","doc":"Auxiliary inductive datatype for combining unelaborated syntax\nand already elaborated expressions. It is used to elaborate applications. "},"Lean.Elab.TacticInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TacticInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mk","doc":""},"Lean.Elab.TacticInfo.mctxBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L81-L81","name":"Lean.Elab.TacticInfo.mctxBefore","line":81,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxBefore","doc":""},"Lean.Elab.TacticInfo.mctxAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L83-L83","name":"Lean.Elab.TacticInfo.mctxAfter","line":83,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxAfter","doc":""},"Lean.Elab.TacticInfo.goalsBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L82-L82","name":"Lean.Elab.TacticInfo.goalsBefore","line":82,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsBefore","doc":""},"Lean.Elab.TacticInfo.goalsAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L84-L84","name":"Lean.Elab.TacticInfo.goalsAfter","line":84,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsAfter","doc":""},"Lean.Elab.TacticInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L132-L137","name":"Lean.Elab.TacticInfo.format","line":132,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TacticInfo.format","doc":""},"Lean.Elab.TacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L80-L85","name":"Lean.Elab.TacticInfo","line":80,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo","doc":"The information needed to render the tactic state in the infoview.\n\nWe store the list of goals before and after the execution of a tactic.\nWe also store the metavariable context at each time since we want metavariables\nunassigned at tactic execution time to be displayed as `?m...`. "},"Lean.Elab.Tactic.withoutRecover":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L255-L256","name":"Lean.Elab.Tactic.withoutRecover","line":255,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withoutRecover","doc":"Execute `x` with error recovery disabled "},"Lean.Elab.Tactic.withTacticInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L125-L126","name":"Lean.Elab.Tactic.withTacticInfoContext","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withTacticInfoContext","doc":""},"Lean.Elab.Tactic.withRWRulesSeq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L48-L50","name":"Lean.Elab.Tactic.withRWRulesSeq.go","line":48,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq.go","doc":""},"Lean.Elab.Tactic.withRWRulesSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L29-L56","name":"Lean.Elab.Tactic.withRWRulesSeq","line":29,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq","doc":""},"Lean.Elab.Tactic.withMainContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L324-L325","name":"Lean.Elab.Tactic.withMainContext","line":324,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMainContext","doc":"Execute `x` using the main goal local context and instances "},"Lean.Elab.Tactic.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L279-L281","name":"Lean.Elab.Tactic.withMacroExpansion","line":279,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Tactic.withLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L45-L63","name":"Lean.Elab.Tactic.withLocation","line":45,"kind":"def","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.withLocation","doc":"Runs the given `atLocal` and `atTarget` methods on each of the locations selected by the given `loc`.\nIf any of the selected tactic applications fail, it will call `failed` with the main goal mvar.\n "},"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L121-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","doc":""},"Lean.Elab.Tactic.withCollectingNewGoalsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L92-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom","doc":"Execute `k`, and collect new \"holes\" in the resulting expression.\n"},"Lean.Elab.Tactic.withCaseRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L417-L418","name":"Lean.Elab.Tactic.withCaseRef","line":417,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withCaseRef","doc":"Use position of `=> $body` for error messages.\nIf there is a line break before `body`, the message will be displayed on `=>` only,\nbut the \"full range\" for the info view will still include `body`. "},"Lean.Elab.Tactic.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Unfold.lean#L16-L17","name":"Lean.Elab.Tactic.unfoldTarget","line":16,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldTarget","doc":""},"Lean.Elab.Tactic.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Unfold.lean#L13-L14","name":"Lean.Elab.Tactic.unfoldLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldLocalDecl","doc":""},"Lean.Elab.Tactic.tryTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L375-L379","name":"Lean.Elab.Tactic.tryTactic?","line":375,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic?","doc":""},"Lean.Elab.Tactic.tryTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L381-L386","name":"Lean.Elab.Tactic.tryTactic","line":381,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic","doc":""},"Lean.Elab.Tactic.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L246-L248","name":"Lean.Elab.Tactic.tryCatch","line":246,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryCatch","doc":""},"Lean.Elab.Tactic.traceSimpCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L252-L285","name":"Lean.Elab.Tactic.traceSimpCall","line":252,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.traceSimpCall","doc":""},"Lean.Elab.Tactic.throwNoGoalsToBeSolved":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L204-L205","name":"Lean.Elab.Tactic.throwNoGoalsToBeSolved","line":204,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.throwNoGoalsToBeSolved","doc":""},"Lean.Elab.Tactic.tagUntaggedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L391-L407","name":"Lean.Elab.Tactic.tagUntaggedGoals","line":391,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tagUntaggedGoals","doc":"Use `parentTag` to tag untagged goals at `newGoals`.\nIf there are multiple new untagged goals, they are named using `._` where `idx > 0`.\nIf there is only one new untagged goal, then we just use `parentTag` "},"Lean.Elab.Tactic.tacticToDischarge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L36-L59","name":"Lean.Elab.Tactic.tacticToDischarge","line":36,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tacticToDischarge","doc":"Implement a `simp` discharge function using the given tactic syntax code.\nRecall that `simp` dischargers are in `SimpM` which does not have access to `Term.State`.\nWe need access to `Term.State` to store messages and update the info tree.\nThus, we create an `IO.ref` to track these changes at `Term.State` when we execute `tacticCode`.\nWe must set this reference with the current `Term.State` before we execute `simp` using the\ngenerated `Simp.Discharge`. "},"Lean.Elab.Tactic.tacticElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L108-L108","name":"Lean.Elab.Tactic.tacticElabAttribute","line":108,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tacticElabAttribute","doc":""},"Lean.Elab.Tactic.tactic.simp.trace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L247-L250","name":"Lean.Elab.Tactic.tactic.simp.trace","line":247,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tactic.simp.trace","doc":""},"Lean.Elab.Tactic.tactic.dbg_cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Cache.lean#L26-L30","name":"Lean.Elab.Tactic.tactic.dbg_cache","line":26,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Cache.html#Lean.Elab.Tactic.tactic.dbg_cache","doc":""},"Lean.Elab.Tactic.sortMVarIdsByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L86-L87","name":"Lean.Elab.Tactic.sortMVarIdsByIndex","line":86,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdsByIndex","doc":""},"Lean.Elab.Tactic.sortMVarIdArrayByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L76-L84","name":"Lean.Elab.Tactic.sortMVarIdArrayByIndex","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdArrayByIndex","doc":""},"Lean.Elab.Tactic.simpOnlyBuiltins":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L206-L206","name":"Lean.Elab.Tactic.simpOnlyBuiltins","line":206,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpOnlyBuiltins","doc":""},"Lean.Elab.Tactic.simpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L311-L317","name":"Lean.Elab.Tactic.simpLocation.go","line":311,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation.go","doc":""},"Lean.Elab.Tactic.simpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L301-L317","name":"Lean.Elab.Tactic.simpLocation","line":301,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation","doc":"`simpLocation ctx discharge? varIdToLemmaId loc`\nruns the simplifier at locations specified by `loc`,\nusing the simp theorems collected in `ctx`\noptionally running a discharger specified in `discharge?` on generated subgoals.\n\nIts primary use is as the implementation of the\n`simp [...] at ...` and `simp only [...] at ...` syntaxes,\nbut can also be used by other tactics when a `Syntax` is not available.\n\nFor many tactics other than the simplifier,\none should use the `withLocation` tactic combinator\nwhen working with a `location`.\n"},"Lean.Elab.Tactic.setGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L57-L58","name":"Lean.Elab.Tactic.setGoals","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.setGoals","doc":""},"Lean.Elab.Tactic.saveTacticInfoForToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L273-L275","name":"Lean.Elab.Tactic.saveTacticInfoForToken","line":273,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveTacticInfoForToken","doc":"Save the current tactic state for a token `stx`.\nThis method is a no-op if `stx` has no position information.\nWe use this method to save the tactic state at punctuation such as `;`\n"},"Lean.Elab.Tactic.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L95-L96","name":"Lean.Elab.Tactic.saveState","line":95,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveState","doc":""},"Lean.Elab.Tactic.runTermElab.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L31-L31","name":"Lean.Elab.Tactic.runTermElab.go","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab.go","doc":""},"Lean.Elab.Tactic.runTermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L24-L31","name":"Lean.Elab.Tactic.runTermElab","line":24,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab","doc":"Runs a term elaborator inside a tactic.\n\nThis function ensures that term elaboration fails when backtracking,\ni.e., in `first| tac term | other`.\n"},"Lean.Elab.Tactic.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L75-L93","name":"Lean.Elab.Tactic.run","line":75,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.run","doc":""},"Lean.Elab.Tactic.rewriteTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L14-L19","name":"Lean.Elab.Tactic.rewriteTarget","line":14,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteTarget","doc":""},"Lean.Elab.Tactic.rewriteLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L21-L27","name":"Lean.Elab.Tactic.rewriteLocalDecl","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteLocalDecl","doc":""},"Lean.Elab.Tactic.replaceMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L294-L296","name":"Lean.Elab.Tactic.replaceMainGoal","line":294,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.replaceMainGoal","doc":"Discard the first goal and replace it by the given list of goals,\nkeeping the other goals. "},"Lean.Elab.Tactic.renameInaccessibles":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L335-L366","name":"Lean.Elab.Tactic.renameInaccessibles","line":335,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.renameInaccessibles","doc":""},"Lean.Elab.Tactic.refineCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L152-L161","name":"Lean.Elab.Tactic.refineCore","line":152,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.refineCore","doc":"If `allowNaturalHoles == true`, then we allow the resultant expression to contain unassigned \"natural\" metavariables.\nRecall that \"natutal\" metavariables are created for explicit holes `_` and implicit arguments. They are meant to be\nfilled by typing constraints.\n\"Synthetic\" metavariables are meant to be filled by tactics and are usually created using the synthetic hole notation `?`. "},"Lean.Elab.Tactic.pruneSolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L60-L63","name":"Lean.Elab.Tactic.pruneSolvedGoals","line":60,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.pruneSolvedGoals","doc":""},"Lean.Elab.Tactic.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L258-L259","name":"Lean.Elab.Tactic.orElse","line":258,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.orElse","doc":""},"Lean.Elab.Tactic.mkTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L110-L118","name":"Lean.Elab.Tactic.mkTacticInfo","line":110,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticInfo","doc":""},"Lean.Elab.Tactic.mkTacticAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L105-L106","name":"Lean.Elab.Tactic.mkTacticAttribute","line":105,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticAttribute","doc":""},"Lean.Elab.Tactic.mkSimpContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L218-L245","name":"Lean.Elab.Tactic.mkSimpContext","line":218,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.mkSimpContext","doc":"Create the `Simp.Context` for the `simp`, `dsimp`, and `simp_all` tactics.\nIf `kind != SimpKind.simp`, the `discharge` option must be `none`\n\nTODO: generate error message if non `rfl` theorems are provided as arguments to 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"},"Lean.Elab.Tactic.elabSimpConfigCtxCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L20-L20","name":"Lean.Elab.Tactic.elabSimpConfigCtxCore","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfigCtxCore","doc":""},"Lean.Elab.Tactic.elabSimpConfigCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L19-L19","name":"Lean.Elab.Tactic.elabSimpConfigCore","line":19,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfigCore","doc":""},"Lean.Elab.Tactic.elabSimpConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L85-L89","name":"Lean.Elab.Tactic.elabSimpConfig","line":85,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpConfig","doc":""},"Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L185-L204","name":"Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?","line":185,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpArgs.resolveSimpIdTheorem?","doc":""},"Lean.Elab.Tactic.elabSimpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L134-L204","name":"Lean.Elab.Tactic.elabSimpArgs","line":134,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabSimpArgs","doc":"Elaborate extra simp theorems provided to `simp`. `stx` is of the form `\"[\" simpTheorem,* \"]\"`\nIf `eraseLocal == true`, then we consider local declarations when resolving names for erased theorems (`- id`),\nthis option only makes sense for `simp_all` or `*` is used.\n"},"Lean.Elab.Tactic.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L160-L163","name":"Lean.Elab.Tactic.elabSetOption","line":160,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.elabSetOption","doc":""},"Lean.Elab.Tactic.elabRewriteConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Rewrite.lean#L59-L59","name":"Lean.Elab.Tactic.elabRewriteConfig","line":59,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.elabRewriteConfig","doc":""},"Lean.Elab.Tactic.elabDSimpConfigCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L21-L21","name":"Lean.Elab.Tactic.elabDSimpConfigCore","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.elabDSimpConfigCore","doc":""},"Lean.Elab.Tactic.elabCasesTargets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L568-L588","name":"Lean.Elab.Tactic.elabCasesTargets","line":568,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.elabCasesTargets","doc":""},"Lean.Elab.Tactic.elabAsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L300-L316","name":"Lean.Elab.Tactic.elabAsFVar","line":300,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.elabAsFVar","doc":"Elaborate `stx`. If it a free variable, return it. Otherwise, assert it, and return the free variable.\nNote that, the main goal is updated when `Meta.assert` is used in the second case. "},"Lean.Elab.Tactic.dsimpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L348-L355","name":"Lean.Elab.Tactic.dsimpLocation.go","line":348,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation.go","doc":""},"Lean.Elab.Tactic.dsimpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L338-L355","name":"Lean.Elab.Tactic.dsimpLocation","line":338,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation","doc":""},"Lean.Elab.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L207-L211","name":"Lean.Elab.Tactic.done","line":207,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.done","doc":""},"Lean.Elab.Tactic.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Delta.lean#L21-L27","name":"Lean.Elab.Tactic.deltaTarget","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaTarget","doc":""},"Lean.Elab.Tactic.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Delta.lean#L13-L19","name":"Lean.Elab.Tactic.deltaLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaLocalDecl","doc":""},"Lean.Elab.Tactic.configElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Config.lean#L13-L27","name":"Lean.Elab.Tactic.configElab","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.configElab","doc":""},"Lean.Elab.Tactic.closeUsingOrAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L228-L240","name":"Lean.Elab.Tactic.closeUsingOrAdmit","line":228,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeUsingOrAdmit","doc":"Close the main goal using the given tactic. If it fails, log the error and `admit` "},"Lean.Elab.Tactic.closeMainGoalUsing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/ElabTerm.lean#L55-L57","name":"Lean.Elab.Tactic.closeMainGoalUsing","line":55,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.closeMainGoalUsing","doc":"Try to close main goal using `x target`, where `target` is the type of the main goal. "},"Lean.Elab.Tactic.closeMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L346-L350","name":"Lean.Elab.Tactic.closeMainGoal","line":346,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeMainGoal","doc":"Close main goal using the given expression. If `checkUnassigned == true`, then `val` must not contain unassigned metavariables. "},"Lean.Elab.Tactic.checkConfigElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Config.lean#L31-L31","name":"Lean.Elab.Tactic.checkConfigElab","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.checkConfigElab","doc":""},"Lean.Elab.Tactic.appendGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L289-L290","name":"Lean.Elab.Tactic.appendGoals","line":289,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.appendGoals","doc":"Add the given goals at the end of the current goals collection. "},"Lean.Elab.Tactic.addCheckpoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/BuiltinTactic.lean#L71-L100","name":"Lean.Elab.Tactic.addCheckpoints","line":71,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.addCheckpoints","doc":"Takes a `sepByIndent tactic \"; \"`, and inserts `checkpoint` blocks for `save` tactics.\n\nInput:\n```\n a\n b\n save\n c\n d\n save\n e\n```\n\nOutput:\n```\n checkpoint\n a\n b\n save\n checkpoint\n c\n d\n save\n e\n```\n"},"Lean.Elab.Tactic.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L284-L286","name":"Lean.Elab.Tactic.adaptExpander","line":284,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.adaptExpander","doc":"Adapt a syntax transformation to a regular tactic evaluator. "},"Lean.Elab.Tactic.TacticM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L40-L40","name":"Lean.Elab.Tactic.TacticM","line":40,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.TacticM","doc":""},"Lean.Elab.Tactic.Tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L41-L41","name":"Lean.Elab.Tactic.Tactic","line":41,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Tactic","doc":""},"Lean.Elab.Tactic.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.mk","doc":""},"Lean.Elab.Tactic.State.goals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L119-L119","name":"Lean.Elab.Tactic.State.goals","line":119,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.goals","doc":""},"Lean.Elab.Tactic.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L118-L120","name":"Lean.Elab.Tactic.State","line":118,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State","doc":"State of the `TacticM` monad.\n"},"Lean.Elab.Tactic.Snapshot.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L131-L131","name":"Lean.Elab.Tactic.Snapshot.term","line":131,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.term","doc":""},"Lean.Elab.Tactic.Snapshot.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L132-L132","name":"Lean.Elab.Tactic.Snapshot.tactic","line":132,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.tactic","doc":""},"Lean.Elab.Tactic.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L133-L133","name":"Lean.Elab.Tactic.Snapshot.stx","line":133,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.stx","doc":""},"Lean.Elab.Tactic.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.mk","doc":""},"Lean.Elab.Tactic.Snapshot.meta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L130-L130","name":"Lean.Elab.Tactic.Snapshot.meta","line":130,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.meta","doc":""},"Lean.Elab.Tactic.Snapshot.core":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L129-L129","name":"Lean.Elab.Tactic.Snapshot.core","line":129,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.core","doc":""},"Lean.Elab.Tactic.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L128-L133","name":"Lean.Elab.Tactic.Snapshot","line":128,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot","doc":"Snapshots are used to implement the `save` tactic.\nThis tactic caches the state of the system, and allows us to \"replay\"\nexpensive proofs efficiently. This is only relevant implementing the\nLSP server.\n"},"Lean.Elab.Tactic.SimpKind.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L25-L25","name":"Lean.Elab.Tactic.SimpKind.simpAll","line":25,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simpAll","doc":""},"Lean.Elab.Tactic.SimpKind.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L24-L24","name":"Lean.Elab.Tactic.SimpKind.simp","line":24,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simp","doc":""},"Lean.Elab.Tactic.SimpKind.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L26-L26","name":"Lean.Elab.Tactic.SimpKind.dsimp","line":26,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.dsimp","doc":""},"Lean.Elab.Tactic.SimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L23-L27","name":"Lean.Elab.Tactic.SimpKind","line":23,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.with":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L65-L73","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.with","line":65,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.with","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L62-L62","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.default","line":62,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.default","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.custom":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L63-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.custom","line":63,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.custom","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L61-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper","line":61,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper","doc":""},"Lean.Elab.Tactic.SavedState.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L37-L37","name":"Lean.Elab.Tactic.SavedState.term","line":37,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.term","doc":""},"Lean.Elab.Tactic.SavedState.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L38-L38","name":"Lean.Elab.Tactic.SavedState.tactic","line":38,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.tactic","doc":""},"Lean.Elab.Tactic.SavedState.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L98-L100","name":"Lean.Elab.Tactic.SavedState.restore","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.restore","doc":""},"Lean.Elab.Tactic.SavedState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.SavedState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.mk","doc":""},"Lean.Elab.Tactic.SavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L36-L38","name":"Lean.Elab.Tactic.SavedState","line":36,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L125-L125","name":"Lean.Elab.Tactic.ResolveSimpIdResult.none","line":125,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.none","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L127-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult.ext","line":127,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.ext","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L126-L126","name":"Lean.Elab.Tactic.ResolveSimpIdResult.expr","line":126,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.expr","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L124-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult","line":124,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L1-L1","name":"Lean.Elab.Tactic.MkSimpContextResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.mk","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L210-L210","name":"Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper","line":210,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.dischargeWrapper","doc":""},"Lean.Elab.Tactic.MkSimpContextResult.ctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L209-L209","name":"Lean.Elab.Tactic.MkSimpContextResult.ctx","line":209,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult.ctx","doc":""},"Lean.Elab.Tactic.MkSimpContextResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Simp.lean#L208-L210","name":"Lean.Elab.Tactic.MkSimpContextResult","line":208,"kind":"structure","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.MkSimpContextResult","doc":""},"Lean.Elab.Tactic.Location.wildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L13-L14","name":"Lean.Elab.Tactic.Location.wildcard","line":13,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.wildcard","doc":"Apply the tactic everywhere. "},"Lean.Elab.Tactic.Location.targets":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L15-L17","name":"Lean.Elab.Tactic.Location.targets","line":15,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.targets","doc":"`hypotheses` are hypothesis names in the main goal that the tactic should be applied to.\nIf `type` is true, then the tactic should also be applied to the target type. "},"Lean.Elab.Tactic.Location":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Location.lean#L12-L17","name":"Lean.Elab.Tactic.Location","line":12,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location","doc":"Denotes a set of locations where a tactic should be applied for the main goal. See also `withLocation`. "},"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Congr.lean#L12-L18","name":"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Congr.html#Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L140-L140","name":"Lean.Elab.Tactic.EvalTacticFailure.state","line":140,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.state","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.EvalTacticFailure.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.mk","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L139-L139","name":"Lean.Elab.Tactic.EvalTacticFailure.exception","line":139,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.exception","doc":""},"Lean.Elab.Tactic.EvalTacticFailure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L138-L140","name":"Lean.Elab.Tactic.EvalTacticFailure","line":138,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure","doc":"Auxiliary datastructure for capturing exceptions at `evalTactic`.\n"},"Lean.Elab.Tactic.ElimApp.setMotiveArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L186-L193","name":"Lean.Elab.Tactic.ElimApp.setMotiveArg","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.setMotiveArg","doc":"Given a goal `... targets ... |- C[targets]` associated with `mvarId`, assign\n`motiveArg := fun targets => C[targets]` "},"Lean.Elab.Tactic.ElimApp.reorderAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L251-L262","name":"Lean.Elab.Tactic.ElimApp.reorderAlts","line":251,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.reorderAlts","doc":"If `altsSyntax` is not empty we reorder `alts` using the order the alternatives have been provided\nin `altsSyntax`. Motivations:\n\n1- It improves the effectiveness of the `checkpoint` and `save` tactics. Consider the following example:\n```lean\nexample (h₁ : p ∨ q) (h₂ : p → x = 0) (h₃ : q → y = 0) : x * y = 0 := by\n cases h₁ with\n | inr h =>\n sleep 5000 -- sleeps for 5 seconds\n save\n have : y = 0 := h₃ h\n -- We can confortably work here\n | inl h => stop ...\n```\nIf we do reorder, the `inl` alternative will be executed first. Moreover, as we type in the `inr` alternative,\ntype errors will \"swallow\" the `inl` alternative and affect the tactic state at `save` making it ineffective.\n\n2- The errors are produced in the same order the appear in the code above. This is not super important when using IDEs.\n"},"Lean.Elab.Tactic.ElimApp.mkElimApp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L130-L168","name":"Lean.Elab.Tactic.ElimApp.mkElimApp.loop","line":130,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp.loop","doc":""},"Lean.Elab.Tactic.ElimApp.mkElimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L129-L182","name":"Lean.Elab.Tactic.ElimApp.mkElimApp","line":129,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp","doc":"Construct the an eliminator/recursor application. `targets` contains the explicit and implicit targets for\nthe eliminator. For example, the indices of builtin recursors are considered implicit targets.\nRemark: the method `addImplicitTargets` may be used to compute the sequence of implicit and explicit targets\nfrom the explicit ones.\n"},"Lean.Elab.Tactic.ElimApp.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L89-L89","name":"Lean.Elab.Tactic.ElimApp.instInhabitedAlt","line":89,"kind":"instance","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.instInhabitedAlt","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L278-L355","name":"Lean.Elab.Tactic.ElimApp.evalAlts.go","line":278,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.go","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L356-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","line":356,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L264-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts","line":264,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts","doc":""},"Lean.Elab.Tactic.ElimApp.State.targetPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L97-L97","name":"Lean.Elab.Tactic.ElimApp.State.targetPos","line":97,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.targetPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.mk","doc":""},"Lean.Elab.Tactic.ElimApp.State.insts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L101-L101","name":"Lean.Elab.Tactic.ElimApp.State.insts","line":101,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.insts","doc":""},"Lean.Elab.Tactic.ElimApp.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L99-L99","name":"Lean.Elab.Tactic.ElimApp.State.fType","line":99,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.fType","doc":""},"Lean.Elab.Tactic.ElimApp.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L98-L98","name":"Lean.Elab.Tactic.ElimApp.State.f","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.f","doc":""},"Lean.Elab.Tactic.ElimApp.State.argPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L96-L96","name":"Lean.Elab.Tactic.ElimApp.State.argPos","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.argPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L100-L100","name":"Lean.Elab.Tactic.ElimApp.State.alts","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.alts","doc":""},"Lean.Elab.Tactic.ElimApp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L95-L101","name":"Lean.Elab.Tactic.ElimApp.State","line":95,"kind":"structure","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State","doc":""},"Lean.Elab.Tactic.ElimApp.Result.others":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L121-L121","name":"Lean.Elab.Tactic.ElimApp.Result.others","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.others","doc":""},"Lean.Elab.Tactic.ElimApp.Result.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.Result.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.mk","doc":""},"Lean.Elab.Tactic.ElimApp.Result.elimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tac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`sepByIndent conv \"; \" "},"Lean.Elab.Tactic.Conv.evalRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L100-L102","name":"Lean.Elab.Tactic.Conv.evalRhs","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalRhs","doc":""},"Lean.Elab.Tactic.Conv.evalRewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Rewrite.lean#L13-L20","name":"Lean.Elab.Tactic.Conv.evalRewrite","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Rewrite.html#Lean.Elab.Tactic.Conv.evalRewrite","doc":""},"Lean.Elab.Tactic.Conv.evalReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L92-L94","name":"Lean.Elab.Tactic.Conv.evalReduce","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalReduce","doc":""},"Lean.Elab.Tactic.Conv.evalPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L104-L141","name":"Lean.Elab.Tactic.Conv.evalPattern","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.evalPattern","doc":""},"Lean.Elab.Tactic.Conv.evalParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L130-L131","name":"Lean.Elab.Tactic.Conv.evalParen","line":130,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalParen","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L146-L148","name":"Lean.Elab.Tactic.Conv.evalNestedTacticCore","line":146,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTacticCore","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L150-L156","name":"Lean.Elab.Tactic.Conv.evalNestedTactic","line":150,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTactic","doc":""},"Lean.Elab.Tactic.Conv.evalNestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L119-L120","name":"Lean.Elab.Tactic.Conv.evalNestedConv","line":119,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedConv","doc":""},"Lean.Elab.Tactic.Conv.evalLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L96-L98","name":"Lean.Elab.Tactic.Conv.evalLhs","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalLhs","doc":""},"Lean.Elab.Tactic.Conv.evalFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L186-L187","name":"Lean.Elab.Tactic.Conv.evalFirst","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalFirst","doc":""},"Lean.Elab.Tactic.Conv.evalExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L177-L183","name":"Lean.Elab.Tactic.Conv.evalExt","line":177,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalExt","doc":""},"Lean.Elab.Tactic.Conv.evalDelta":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Delta.lean#L12-L15","name":"Lean.Elab.Tactic.Conv.evalDelta","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Delta.html#Lean.Elab.Tactic.Conv.evalDelta","doc":""},"Lean.Elab.Tactic.Conv.evalDSimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Simp.lean#L28-L30","name":"Lean.Elab.Tactic.Conv.evalDSimp","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.evalDSimp","doc":""},"Lean.Elab.Tactic.Conv.evalConvTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L158-L159","name":"Lean.Elab.Tactic.Conv.evalConvTactic","line":158,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvTactic","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L111-L117","name":"Lean.Elab.Tactic.Conv.evalConvSeqBracketed","line":111,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeqBracketed","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L108-L109","name":"Lean.Elab.Tactic.Conv.evalConvSeq1Indented","line":108,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq1Indented","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L122-L123","name":"Lean.Elab.Tactic.Conv.evalConvSeq","line":122,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConvConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L125-L128","name":"Lean.Elab.Tactic.Conv.evalConvConvSeq","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L173-L184","name":"Lean.Elab.Tactic.Conv.evalConv","line":173,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConv","doc":""},"Lean.Elab.Tactic.Conv.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L74-L75","name":"Lean.Elab.Tactic.Conv.evalCongr","line":74,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalCongr","doc":""},"Lean.Elab.Tactic.Conv.evalChange":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Change.lean#L12-L22","name":"Lean.Elab.Tactic.Conv.evalChange","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Change.html#Lean.Elab.Tactic.Conv.evalChange","doc":""},"Lean.Elab.Tactic.Conv.evalArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L104-L113","name":"Lean.Elab.Tactic.Conv.evalArg","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalArg","doc":""},"Lean.Elab.Tactic.Conv.convert":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L44-L58","name":"Lean.Elab.Tactic.Conv.convert","line":44,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.convert","doc":"Given `lhs`, runs the `conv` tactic with the goal `⊢ lhs = ?rhs`.\n`conv` should produce no remaining goals that are not solvable with refl.\nReturns a pair of instantiated expressions `(?rhs, ?p)` where `?p : lhs = ?rhs`. "},"Lean.Elab.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Congr.lean#L25-L72","name":"Lean.Elab.Tactic.Conv.congr","line":25,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.congr","doc":""},"Lean.Elab.Tactic.Conv.changeLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Basic.lean#L83-L86","name":"Lean.Elab.Tactic.Conv.changeLhs","line":83,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.changeLhs","doc":"Replace `lhs` with the definitionally equal `lhs'`. "},"Lean.Elab.Tactic.Conv.applySimpResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Simp.lean#L13-L17","name":"Lean.Elab.Tactic.Conv.applySimpResult","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.applySimpResult","doc":""},"Lean.Elab.Tactic.Conv.PatternMatchState.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L68-L70","name":"Lean.Elab.Tactic.Conv.PatternMatchState.skip","line":68,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.skip","doc":"Assuming `isReady` returned false, this advances to the next match. "},"Lean.Elab.Tactic.Conv.PatternMatchState.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L43-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState.occs","line":43,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.occs","doc":"The state corresponding to a partially consumed `(occs := a₁ a₂ ...)` pattern.\n* `subgoals` is the list of subgoals for patterns already matched,\n along with their index in the original occs list\n* `idx` is the number of matches that have occurred so far\n* `remaining` is a list of `(i, orig)` pairs representing matches we have not yet reached.\n We maintain the invariant that `idx :: remaining.map (·.1)` is sorted.\n The number `i` is the value in the `occs` list and `orig` is its index in the list.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.isReady":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L62-L65","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isReady","line":62,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isReady","doc":"Is this pattern interested in accepting the next match? "},"Lean.Elab.Tactic.Conv.PatternMatchState.isDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L57-L59","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isDone","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isDone","doc":"Is this pattern no longer interested in accepting matches? "},"Lean.Elab.Tactic.Conv.PatternMatchState.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L37-L42","name":"Lean.Elab.Tactic.Conv.PatternMatchState.all","line":37,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.all","doc":"The state corresponding to a `(occs := *)` pattern, which acts like `occs := 1 2 ... n` where\n`n` is the total number of pattern matches.\n* `subgoals` is the list of subgoals for patterns already matched\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.accept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L76-L79","name":"Lean.Elab.Tactic.Conv.PatternMatchState.accept","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.accept","doc":"Assuming `isReady` returned true, this adds the generated subgoal to the list\nand advances to the next match.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Conv/Pattern.lean#L36-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState","line":36,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState","doc":""},"Lean.Elab.Tactic.Context.recover":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L34-L34","name":"Lean.Elab.Tactic.Context.recover","line":34,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.recover","doc":"If `true`, enable \"error recovery\" in some tactics. For example, `cases` tactic\nadmits unsolved alternatives when `recover == true`. The combinator `withoutRecover ` disables\n\"error recovery\" while executing ``. This is useful for tactics such as `first | ... | ...`.\n"},"Lean.Elab.Tactic.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.mk","doc":""},"Lean.Elab.Tactic.Context.elaborator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L28-L28","name":"Lean.Elab.Tactic.Context.elaborator","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.elaborator","doc":"Declaration name of the executing elaborator, used by `mkTacticInfo` to persist it in the info tree "},"Lean.Elab.Tactic.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Tactic/Basic.lean#L26-L34","name":"Lean.Elab.Tactic.Context","line":26,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context","doc":""},"Lean.Elab.Tactic.CacheKey.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L140-L140","name":"Lean.Elab.Tactic.CacheKey.pos","line":140,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.pos","doc":""},"Lean.Elab.Tactic.CacheKey.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L139-L139","name":"Lean.Elab.Tactic.CacheKey.mvarId","line":139,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mvarId","doc":""},"Lean.Elab.Tactic.CacheKey.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.CacheKey.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mk","doc":""},"Lean.Elab.Tactic.CacheKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L138-L141","name":"Lean.Elab.Tactic.CacheKey","line":138,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey","doc":"Key for the cache used to implement the `save` tactic.\n"},"Lean.Elab.Tactic.Cache.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L147-L147","name":"Lean.Elab.Tactic.Cache.pre","line":147,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.pre","doc":""},"Lean.Elab.Tactic.Cache.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L148-L148","name":"Lean.Elab.Tactic.Cache.post","line":148,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.post","doc":""},"Lean.Elab.Tactic.Cache.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Cache.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.mk","doc":""},"Lean.Elab.Tactic.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Term.lean#L146-L149","name":"Lean.Elab.Tactic.Cache","line":146,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache","doc":"Cache for the `save` tactic.\n"},"Lean.Elab.Structural.structuralRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Main.lean#L80-L100","name":"Lean.Elab.Structural.structuralRecursion","line":80,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Main.html#Lean.Elab.Structural.structuralRecursion","doc":""},"Lean.Elab.Structural.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L49-L50","name":"Lean.Elab.Structural.run","line":49,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.run","doc":""},"Lean.Elab.Structural.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L82-L83","name":"Lean.Elab.Structural.registerEqnsInfo","line":82,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.registerEqnsInfo","doc":""},"Lean.Elab.Structural.refinedArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L90-L98","name":"Lean.Elab.Structural.refinedArgType","line":90,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.refinedArgType","doc":"This method is used after `matcherApp.addArg arg` to check whether the new type of `arg` has been \"refined/modified\"\nin at least one alternative.\n"},"Lean.Elab.Structural.recArgHasLooseBVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L61-L64","name":"Lean.Elab.Structural.recArgHasLooseBVarsAt","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.recArgHasLooseBVarsAt","doc":"Return true iff `e` contains an application `recFnName .. t ..` where the term `t` is\nthe argument we are trying to recurse on, and it contains loose bound variables.\n\nWe use this test to decide whether we should process a matcher-application as a regular\napplicaton or not. That is, whether we should push the `below` argument should be affected by the matcher or not.\nIf `e` does not contain an application of the form `recFnName .. t ..`, then we know\nthe recursion doesn't depend on any pattern variable in this matcher.\n"},"Lean.Elab.Structural.preprocess":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Preprocess.lean#L27-L33","name":"Lean.Elab.Structural.preprocess","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Preprocess.html#Lean.Elab.Structural.preprocess","doc":"Beta reduce terms where the recursive function occurs in the lambda term.\nThis is useful to improve the effectiveness of `elimRecursion`.\nExample:\n```\ndef f : Nat → Nat\n | 0 => 1\n | i+1 => (fun x => f x) i\n```\n"},"Lean.Elab.Structural.mkIndPredBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/IndPred.lean#L64-L97","name":"Lean.Elab.Structural.mkIndPredBRecOn","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/IndPred.html#Lean.Elab.Structural.mkIndPredBRecOn","doc":""},"Lean.Elab.Structural.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L58-L78","name":"Lean.Elab.Structural.mkEqns","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.mkEqns","doc":""},"Lean.Elab.Structural.mkBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L199-L239","name":"Lean.Elab.Structural.mkBRecOn","line":199,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.mkBRecOn","doc":""},"Lean.Elab.Structural.instInhabitedM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L46-L47","name":"Lean.Elab.Structural.instInhabitedM","line":46,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.instInhabitedM","doc":""},"Lean.Elab.Structural.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L22-L22","name":"Lean.Elab.Structural.instInhabitedEqnInfo","line":22,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.instInhabitedEqnInfo","doc":""},"Lean.Elab.Structural.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L91-L93","name":"Lean.Elab.Structural.getUnfoldFor?","line":91,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getUnfoldFor?","doc":""},"Lean.Elab.Structural.getStructuralRecArgPosImp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L96-L98","name":"Lean.Elab.Structural.getStructuralRecArgPosImp?","line":96,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getStructuralRecArgPosImp?","doc":""},"Lean.Elab.Structural.getEqnsFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L85-L89","name":"Lean.Elab.Structural.getEqnsFor?","line":85,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getEqnsFor?","doc":""},"Lean.Elab.Structural.findRecArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L74-L137","name":"Lean.Elab.Structural.findRecArg.go","line":74,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg.go","doc":""},"Lean.Elab.Structural.findRecArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L58-L139","name":"Lean.Elab.Structural.findRecArg","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg","doc":"Try to find an argument that is structurally smaller in every recursive application.\nWe use this argument to justify termination using the auxiliary `brecOn` construction.\n\nWe give preference for arguments that are *not* indices of inductive types of other arguments.\nSee issue #837 for an example where we can show termination using the index of an inductive family, but\nwe don't get the desired definitional equalities.\n\nWe perform two passes. In the first-pass, we only consider arguments that are not indices.\nIn the second pass, we consider them.\n\nTODO: explore whether there are better solutions, and whether there are other ways to break the heuristic used\nfor creating the smart unfolding auxiliary definition.\n"},"Lean.Elab.Structural.eqnInfoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L80-L80","name":"Lean.Elab.Structural.eqnInfoExt","line":80,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.eqnInfoExt","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L29-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","doc":"Auxiliary method for annotating `match`-alternatives with `markSmartUnfoldingMatch` and `markSmartUnfoldingMatchAlt`.\n\nIt uses the following approach:\n- Whenever it finds a `match` application `e` s.t. `recArgHasLooseBVarsAt preDef.declName recArgPos e`,\n it marks the `match` with `markSmartUnfoldingMatch`, and each alternative that does not contain a nested marked `match`\n is marked with `markSmartUnfoldingMatchAlt`.\n\nRecall that the condition `recArgHasLooseBVarsAt preDef.declName recArgPos e` is the one used at `mkBRecOn`.\n"},"Lean.Elab.Structural.addSmartUnfoldingDefAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L12-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux","line":12,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L64-L70","name":"Lean.Elab.Structural.addSmartUnfoldingDef","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDef","doc":""},"Lean.Elab.Structural.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.mk","doc":""},"Lean.Elab.Structural.State.addMatchers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L42-L42","name":"Lean.Elab.Structural.State.addMatchers","line":42,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.addMatchers","doc":"As part of the inductive predicates case, we keep adding more and more discriminants from the\nlocal context and build up a bigger matcher application until we reach a fixed point.\nAs a side-effect, this creates matchers. Here we capture all these side-effects, because\nthe construction rolls back any changes done to the environment and the side-effects\nneed to be replayed. "},"Lean.Elab.Structural.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L36-L42","name":"Lean.Elab.Structural.State","line":36,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State","doc":""},"Lean.Elab.Structural.RecArgInfo.ys":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L15-L15","name":"Lean.Elab.Structural.RecArgInfo.ys","line":15,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.ys","doc":"recursion arguments "},"Lean.Elab.Structural.RecArgInfo.reflexive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L29-L29","name":"Lean.Elab.Structural.RecArgInfo.reflexive","line":29,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.reflexive","doc":"true if we are recursing over a reflexive inductive datatype "},"Lean.Elab.Structural.RecArgInfo.recArgPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L33-L34","name":"Lean.Elab.Structural.RecArgInfo.recArgPos","line":33,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.recArgPos","doc":""},"Lean.Elab.Structural.RecArgInfo.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L17-L17","name":"Lean.Elab.Structural.RecArgInfo.pos","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.pos","doc":"position in `ys` of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.RecArgInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.mk","doc":""},"Lean.Elab.Structural.RecArgInfo.indicesPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L19-L19","name":"Lean.Elab.Structural.RecArgInfo.indicesPos","line":19,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indicesPos","doc":"position in `ys` of the inductive datatype indices we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L31-L31","name":"Lean.Elab.Structural.RecArgInfo.indPred","line":31,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indPred","doc":"true if the type is an inductive predicate "},"Lean.Elab.Structural.RecArgInfo.indParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L25-L25","name":"Lean.Elab.Structural.RecArgInfo.indParams","line":25,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indParams","doc":"inductive datatype parameters of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L21-L21","name":"Lean.Elab.Structural.RecArgInfo.indName","line":21,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indName","doc":"inductive datatype name of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L23-L23","name":"Lean.Elab.Structural.RecArgInfo.indLevels","line":23,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indLevels","doc":"inductive datatype universe levels of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L27-L27","name":"Lean.Elab.Structural.RecArgInfo.indIndices","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indIndices","doc":"inductive datatype indices of the argument we are recursing on, it is equal to `indicesPos.map fun i => ys.get! i` "},"Lean.Elab.Structural.RecArgInfo.fixedParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L13-L13","name":"Lean.Elab.Structural.RecArgInfo.fixedParams","line":13,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.fixedParams","doc":"`fixedParams ++ ys` are the arguments of the function we are trying to justify termination using structural recursion. 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It should not be used in user widgets.\n"},"Lean.Elab.InfoTree.visitM.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L44-L51","name":"Lean.Elab.InfoTree.visitM.go","line":44,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM.go","doc":""},"Lean.Elab.InfoTree.visitM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L54-L57","name":"Lean.Elab.InfoTree.visitM'","line":54,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM'","doc":"`InfoTree.visitM` specialized to `Unit` return type "},"Lean.Elab.InfoTree.visitM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L39-L51","name":"Lean.Elab.InfoTree.visitM","line":39,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM","doc":"Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back up. "},"Lean.Elab.InfoTree.termGoalAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L363-L365","name":"Lean.Elab.InfoTree.termGoalAt?","line":363,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.termGoalAt?","doc":""},"Lean.Elab.InfoTree.substitute":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L56-L62","name":"Lean.Elab.InfoTree.substitute","line":56,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.substitute","doc":"Instantiate the holes on the given `tree` with the assignment table.\n(analoguous to instantiating the metavariables in an expression) "},"Lean.Elab.InfoTree.smallestInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L155-L162","name":"Lean.Elab.InfoTree.smallestInfo?","line":155,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.smallestInfo?","doc":""},"Lean.Elab.InfoTree.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L172-L173","name":"Lean.Elab.InfoTree.node","line":172,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.node","doc":"The children contain information for nested term elaboration and tactic evaluation "},"Lean.Elab.InfoTree.hoverableInfoAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L165-L208","name":"Lean.Elab.InfoTree.hoverableInfoAt?","line":165,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hoverableInfoAt?","doc":"Find an info node, if any, which should be shown on hover/cursor at position `hoverPos`. "},"Lean.Elab.InfoTree.hole":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L174-L175","name":"Lean.Elab.InfoTree.hole","line":174,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.hole","doc":"The elaborator creates holes (aka metavariables) for tactics and postponed terms "},"Lean.Elab.InfoTree.hasSorry.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L369-L379","name":"Lean.Elab.InfoTree.hasSorry.go","line":369,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry.go","doc":""},"Lean.Elab.InfoTree.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L367-L379","name":"Lean.Elab.InfoTree.hasSorry","line":367,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry","doc":""},"Lean.Elab.InfoTree.goalsAt?.isEmptyBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L358-L360","name":"Lean.Elab.InfoTree.goalsAt?.isEmptyBy","line":358,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.isEmptyBy","doc":""},"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L345-L357","name":"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","line":345,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","doc":""},"Lean.Elab.InfoTree.goalsAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L319-L360","name":"Lean.Elab.InfoTree.goalsAt?","line":319,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?","doc":"Try to retrieve `TacticInfo` for `hoverPos`.\nWe retrieve all `TacticInfo` nodes s.t. `hoverPos` is inside the node's range plus trailing whitespace.\nWe usually prefer the innermost such nodes so that for composite tactics such as `induction`, we show the nested proofs' states.\nHowever, if `hoverPos` is after the tactic, we prefer nodes that are not indented relative to it, meaning that e.g. at `|` in\n```lean\nhave := by\n exact foo\n|\n```\nwe show the (final, see below) state of `have`, not `exact`.\n\nMoreover, we instruct the LSP server to use the state after tactic execution if\n- the hover position is after the info's start position *and*\n- there is no nested tactic info after the hover position (tactic combinators should decide for themselves\n where to show intermediate states by calling `withTacticInfoContext`) "},"Lean.Elab.InfoTree.getCompletionInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L96-L100","name":"Lean.Elab.InfoTree.getCompletionInfos","line":96,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.getCompletionInfos","doc":""},"Lean.Elab.InfoTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L197-L209","name":"Lean.Elab.InfoTree.format","line":197,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.format","doc":""},"Lean.Elab.InfoTree.foldInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L79-L86","name":"Lean.Elab.InfoTree.foldInfo.go","line":79,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo.go","doc":""},"Lean.Elab.InfoTree.foldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L77-L86","name":"Lean.Elab.InfoTree.foldInfo","line":77,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo","doc":""},"Lean.Elab.InfoTree.findInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L44-L52","name":"Lean.Elab.InfoTree.findInfo?","line":44,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.findInfo?","doc":""},"Lean.Elab.InfoTree.deepestNodes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L68-L75","name":"Lean.Elab.InfoTree.deepestNodes","line":68,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.deepestNodes","doc":"For every branch of the `InfoTree`, find the deepest node in that branch for which `p` returns\n`some _` and return the union of all such nodes. The visitor `p` is given a node together with\nits innermost surrounding `ContextInfo`. "},"Lean.Elab.InfoTree.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L170-L171","name":"Lean.Elab.InfoTree.context","line":170,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.context","doc":"The context object is created by `liftTermElabM` at `Command.lean` "},"Lean.Elab.InfoTree.collectNodesBottomUp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L61-L62","name":"Lean.Elab.InfoTree.collectNodesBottomUp","line":61,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.collectNodesBottomUp","doc":"Visit nodes bottom-up, passing in a surrounding context (the innermost one) and the union of nested results (empty at leaves). "},"Lean.Elab.InfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L169-L176","name":"Lean.Elab.InfoTree","line":169,"kind":"inductive","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree","doc":"The InfoTree is a structure that is generated during elaboration and used\nby the language server to look up information about objects at particular points\nin the Lean document. For example, tactic information and expected type information in\nthe infoview and information about completions.\n\nThe infotree consists of nodes which may have child nodes. Each node\nhas an `Info` object that contains details about what kind of information\nis present. Each `Info` object also contains a `Syntax` instance, this is used to\nmap positions in the Lean document to particular info objects.\n\nAn example of a function that extracts information from an infotree for a given\nposition is `InfoTree.goalsAt?` which finds `TacticInfo`.\n\nInformation concerning expressions requires that a context also be saved.\n`context` nodes store a local context that is used to process expressions\nin nodes below.\n\nBecause the info tree is generated during elaboration, some parts of the infotree\nfor a particular piece of syntax may not be ready yet. Hence InfoTree supports metavariable-like\n`hole`s which are filled in later in the same way that unassigned metavariables are.\n"},"Lean.Elab.InfoState.trees":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L194-L194","name":"Lean.Elab.InfoState.trees","line":194,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.trees","doc":"Pending child trees of a node. "},"Lean.Elab.InfoState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.InfoState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.mk","doc":""},"Lean.Elab.InfoState.enabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L190-L190","name":"Lean.Elab.InfoState.enabled","line":190,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.enabled","doc":"Whether info trees should be recorded. "},"Lean.Elab.InfoState.assignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L192-L192","name":"Lean.Elab.InfoState.assignment","line":192,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.assignment","doc":"Map from holes in the infotree to child infotrees. "},"Lean.Elab.InfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L188-L195","name":"Lean.Elab.InfoState","line":188,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState","doc":"This structure is the state that is being used to build an InfoTree object.\nDuring elaboration, some parts of the info tree may be `holes` which need to be filled later.\nThe `assignments` field is used to assign these holes.\nThe `trees` field is a list of pending child trees for the infotree node currently being built.\n\nYou should not need to use `InfoState` directly, instead infotrees should be built with the help of the methods here\nsuch as `pushInfoLeaf` to create leaf nodes and `withInfoContext` to create a nested child node.\n\nTo see how `trees` is used, look at the function body of `withInfoContext'`.\n"},"Lean.Elab.Info.updateContext?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L193-L195","name":"Lean.Elab.Info.updateContext?","line":193,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.updateContext?","doc":"Helper function for propagating the tactic metavariable context to its children nodes.\nWe need this function because we preserve `TacticInfo` nodes during backtracking *and* their\nchildren. Moreover, we backtrack the metavariable context to undo metavariable assignments.\n`TacticInfo` nodes save the metavariable context before/after the tactic application, and\ncan be pretty printed without any extra information. This is not the case for `TermInfo` nodes.\nWithout this function, the formatting method would often fail when processing `TermInfo` nodes\nthat are children of `TacticInfo` nodes that have been preserved during backtracking.\nSaving the metavariable context at `TermInfo` nodes is also not a good option because\nat `TermInfo` creation time, the metavariable context often miss information, e.g.,\na TC problem has not been resolved, a postponed subterm has not been elaborated, etc.\n\nSee `Term.SavedState.restore`.\n"},"Lean.Elab.Info.type?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L210-L214","name":"Lean.Elab.Info.type?","line":210,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.type?","doc":""},"Lean.Elab.Info.toElabInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Main.lean#L166-L177","name":"Lean.Elab.Info.toElabInfo?","line":166,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.toElabInfo?","doc":""},"Lean.Elab.Info.tailPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L123-L124","name":"Lean.Elab.Info.tailPos?","line":123,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.tailPos?","doc":""},"Lean.Elab.Info.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L102-L113","name":"Lean.Elab.Info.stx","line":102,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.stx","doc":""},"Lean.Elab.Info.size?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L132-L135","name":"Lean.Elab.Info.size?","line":132,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.size?","doc":""},"Lean.Elab.Info.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L126-L127","name":"Lean.Elab.Info.range?","line":126,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.range?","doc":""},"Lean.Elab.Info.pos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/InfoUtils.lean#L120-L121","name":"Lean.Elab.Info.pos?","line":120,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.pos?","doc":""},"Lean.Elab.Info.ofUserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L142-L142","name":"Lean.Elab.Info.ofUserWidgetInfo","line":142,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofUserWidgetInfo","doc":""},"Lean.Elab.Info.ofTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L136-L136","name":"Lean.Elab.Info.ofTermInfo","line":136,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTermInfo","doc":""},"Lean.Elab.Info.ofTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L135-L135","name":"Lean.Elab.Info.ofTacticInfo","line":135,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTacticInfo","doc":""},"Lean.Elab.Info.ofOptionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L139-L139","name":"Lean.Elab.Info.ofOptionInfo","line":139,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofOptionInfo","doc":""},"Lean.Elab.Info.ofMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L138-L138","name":"Lean.Elab.Info.ofMacroExpansionInfo","line":138,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofMacroExpansionInfo","doc":""},"Lean.Elab.Info.ofFieldRedeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L145-L145","name":"Lean.Elab.Info.ofFieldRedeclInfo","line":145,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldRedeclInfo","doc":""},"Lean.Elab.Info.ofFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L140-L140","name":"Lean.Elab.Info.ofFieldInfo","line":140,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldInfo","doc":""},"Lean.Elab.Info.ofFVarAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L144-L144","name":"Lean.Elab.Info.ofFVarAliasInfo","line":144,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFVarAliasInfo","doc":""},"Lean.Elab.Info.ofCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/InfoTree/Types.lean#L143-L143","name":"Lean.Elab.Info.ofCustomInfo","line":143,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofCustomInfo","doc":""},"Lean.Elab.Info.ofCompletionInfo"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"},"Lean.Elab.Command.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L438-L455","name":"Lean.Elab.Command.runTermElabM","line":438,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runTermElabM","doc":"Execute the monadic action `elabFn xs` as a `CommandElabM` monadic action, where `xs` are free variables\ncorresponding to all active scoped variables declared using the `variable` command.\n\nThis method is similar to `liftTermElabM`, but it elaborates all scoped variables declared using the `variable`\ncommand.\n\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\nvariable {α : Type u} {f : α → α}\nvariable (n : Nat)\n\n#eval\n runTermElabM fun xs => do\n for x in xs do\n IO.println s!\"{← ppExpr x} : {← ppExpr (← inferType x)}\"\n```\n"},"Lean.Elab.Command.runLinters":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L201-L214","name":"Lean.Elab.Command.runLinters","line":201,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runLinters","doc":""},"Lean.Elab.Command.resolveSyntaxKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Syntax.lean#L348-L351","name":"Lean.Elab.Command.resolveSyntaxKind","line":348,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.resolveSyntaxKind","doc":""},"Lean.Elab.Command.removeParenthesesAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L55-L60","name":"Lean.Elab.Command.removeParenthesesAux","line":55,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParenthesesAux","doc":""},"Lean.Elab.Command.removeParentheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L62-L68","name":"Lean.Elab.Command.removeParentheses","line":62,"kind":"opaque","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParentheses","doc":""},"Lean.Elab.Command.modifyScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Command.lean#L466-L471","name":"Lean.Elab.Command.modifyScope","line":466,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.modifyScope","doc":""},"Lean.Elab.Command.mkUnexpander.flattenApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L120-L124","name":"Lean.Elab.Command.mkUnexpander.flattenApp","line":120,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander.flattenApp","doc":""},"Lean.Elab.Command.mkUnexpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Elab/Notation.lean#L86-L124","name":"Lean.Elab.Command.mkUnexpander","line":86,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander","doc":"Try to derive an unexpander from a notation.\nThe notation must be of the form `notation ... => c body`\nwhere `c` is a declaration in the current scope and `body` any syntax\nthat contains each variable from the LHS at most once. 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id.\n"},"Lean.Compiler.LCNF.replaceFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L470-L471","name":"Lean.Compiler.LCNF.replaceFVars","line":470,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceFVars","doc":""},"Lean.Compiler.LCNF.replaceExprFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L467-L468","name":"Lean.Compiler.LCNF.replaceExprFVars","line":467,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceExprFVars","doc":""},"Lean.Compiler.LCNF.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L73-L74","name":"Lean.Compiler.LCNF.reduceJpArity","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.reduceJpArity","doc":""},"Lean.Compiler.LCNF.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L180-L184","name":"Lean.Compiler.LCNF.reduceArity","line":180,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.reduceArity","doc":""},"Lean.Compiler.LCNF.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L111-L112","name":"Lean.Compiler.LCNF.pullInstances","line":111,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.pullInstances","doc":""},"Lean.Compiler.LCNF.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L178-L179","name":"Lean.Compiler.LCNF.pullFunDecls","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.pullFunDecls","doc":""},"Lean.Compiler.LCNF.ppLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L118-L119","name":"Lean.Compiler.LCNF.ppLetValue","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppLetValue","doc":""},"Lean.Compiler.LCNF.ppFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L125-L127","name":"Lean.Compiler.LCNF.ppFunDecl","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppFunDecl","doc":""},"Lean.Compiler.LCNF.ppDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L145-L147","name":"Lean.Compiler.LCNF.ppDecl'","line":145,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl'","doc":"Similar to `ppDecl`, but in `CoreM`, and it does not assume\n`decl` has already been internalized.\nThis function is used for debugging purposes.\n"},"Lean.Compiler.LCNF.ppDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L121-L123","name":"Lean.Compiler.LCNF.ppDecl","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl","doc":""},"Lean.Compiler.LCNF.ppCode'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L153-L155","name":"Lean.Compiler.LCNF.ppCode'","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode'","doc":"Similar to `ppCode`, but in `CoreM`, and it does not assume\n`code` has already been internalized.\n"},"Lean.Compiler.LCNF.ppCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L115-L116","name":"Lean.Compiler.LCNF.ppCode","line":115,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode","doc":""},"Lean.Compiler.LCNF.passManagerExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Passes.lean#L90-L96","name":"Lean.Compiler.LCNF.passManagerExt","line":90,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Passes.html#Lean.Compiler.LCNF.passManagerExt","doc":""},"Lean.Compiler.LCNF.normalizeFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L122-L128","name":"Lean.Compiler.LCNF.normalizeFVarIds","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.normalizeFVarIds","doc":""},"Lean.Compiler.LCNF.normParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L416-L417","name":"Lean.Compiler.LCNF.normParams","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParams","doc":""},"Lean.Compiler.LCNF.normParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L413-L414","name":"Lean.Compiler.LCNF.normParam","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParam","doc":""},"Lean.Compiler.LCNF.normLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Level.lean#L83-L85","name":"Lean.Compiler.LCNF.normLevelParams","line":83,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.normLevelParams","doc":"Normalize universe level parameter names in the given expression.\nThe function also returns the list of universe level parameter names that have been normalized.\n"},"Lean.Compiler.LCNF.normLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L318-L319","name":"Lean.Compiler.LCNF.normLetValue","line":318,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetValue","doc":"Replace the free variables in `e` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.normLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L419-L420","name":"Lean.Compiler.LCNF.normLetDecl","line":419,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetDecl","doc":""},"Lean.Compiler.LCNF.normFunDeclImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L437-L441","name":"Lean.Compiler.LCNF.normFunDeclImp","line":437,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDeclImp","doc":""},"Lean.Compiler.LCNF.normFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L460-L461","name":"Lean.Compiler.LCNF.normFunDecl","line":460,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDecl","doc":""},"Lean.Compiler.LCNF.normFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L309-L310","name":"Lean.Compiler.LCNF.normFVar","line":309,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFVar","doc":"Normalize the given free variable.\nSee `normExprImp` for documentation on the `translator` parameter.\nThis function is meant to be used in contexts where the input free-variable is computationally relevant.\nThis function panics if the substitution is mapping `fvarId` to an expression that is not another free variable.\nThat is, it is not a type (or type former), nor `lcErased`. Recall that a valid `FVarSubst` contains only\nexpressions that are free variables, `lcErased`, or type formers.\n"},"Lean.Compiler.LCNF.normExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L322-L323","name":"Lean.Compiler.LCNF.normExprCore","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExprCore","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L312-L313","name":"Lean.Compiler.LCNF.normExpr","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExpr","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normCodeImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L443-L457","name":"Lean.Compiler.LCNF.normCodeImp","line":443,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCodeImp","doc":""},"Lean.Compiler.LCNF.normCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L464-L465","name":"Lean.Compiler.LCNF.normCode","line":464,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCode","doc":"Similar to `internalize`, but does not refresh `FVarId`s. "},"Lean.Compiler.LCNF.normArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L328-L329","name":"Lean.Compiler.LCNF.normArgs","line":328,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArgs","doc":"Normalize the given arguments using the current substitution.\n"},"Lean.Compiler.LCNF.normArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L315-L316","name":"Lean.Compiler.LCNF.normArg","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArg","doc":"Replace the free variables in `arg` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.monoTypeExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonoTypes.lean#L120-L121","name":"Lean.Compiler.LCNF.monoTypeExt","line":120,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/MonoTypes.html#Lean.Compiler.LCNF.monoTypeExt","doc":""},"Lean.Compiler.LCNF.monoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L37-L37","name":"Lean.Compiler.LCNF.monoExt","line":37,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.monoExt","doc":""},"Lean.Compiler.LCNF.modifyLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L119-L120","name":"Lean.Compiler.LCNF.modifyLCtx","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.modifyLCtx","doc":""},"Lean.Compiler.LCNF.mkReturnErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L370-L372","name":"Lean.Compiler.LCNF.mkReturnErased","line":370,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkReturnErased","doc":""},"Lean.Compiler.LCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L346-L351","name":"Lean.Compiler.LCNF.mkParam","line":346,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkParam","doc":""},"Lean.Compiler.LCNF.mkNewParams.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L82-L94","name":"Lean.Compiler.LCNF.mkNewParams.go","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams.go","doc":""},"Lean.Compiler.LCNF.mkNewParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L79-L94","name":"Lean.Compiler.LCNF.mkNewParams","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams","doc":"Create new parameters for the given arrow type.\nExample: if `type` is `Nat → Bool → Int`, the result is\nan array containing two new parameters with types `Nat` and `Bool`.\n"},"Lean.Compiler.LCNF.mkLetDeclErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L367-L368","name":"Lean.Compiler.LCNF.mkLetDeclErased","line":367,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDeclErased","doc":""},"Lean.Compiler.LCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L353-L358","name":"Lean.Compiler.LCNF.mkLetDecl","line":353,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.mkFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L360-L365","name":"Lean.Compiler.LCNF.mkFunDecl","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFunDecl","doc":""},"Lean.Compiler.LCNF.mkFreshJpName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L473-L474","name":"Lean.Compiler.LCNF.mkFreshJpName","line":473,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshJpName","doc":""},"Lean.Compiler.LCNF.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L331-L334","name":"Lean.Compiler.LCNF.mkFreshBinderName","line":331,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshBinderName","doc":""},"Lean.Compiler.LCNF.mkForallParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L269-L270","name":"Lean.Compiler.LCNF.mkForallParams","line":269,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkForallParams","doc":""},"Lean.Compiler.LCNF.mkFixedParamsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FixedParams.lean#L165-L173","name":"Lean.Compiler.LCNF.mkFixedParamsMap","line":165,"kind":"def","docLink":"./Lean/Compiler/LCNF/FixedParams.html#Lean.Compiler.LCNF.mkFixedParamsMap","doc":"Given the (potentially mutually) recursive declarations `decls`,\nreturn a map from declaration name `decl.name` to a bit-mask `m` where `m[i]` is true\niff the `decl.params[i]` is a fixed argument. That is, it does not change in recursive\napplications.\nThe function assumes that if a function `f` was declared in a mutual block, then `decls`\ncontains all (computationally relevant) functions in the mutual block.\n"},"Lean.Compiler.LCNF.mkDeclExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L25-L34","name":"Lean.Compiler.LCNF.mkDeclExt","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.mkDeclExt","doc":""},"Lean.Compiler.LCNF.mkCasesResultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L284-L290","name":"Lean.Compiler.LCNF.mkCasesResultType","line":284,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkCasesResultType","doc":""},"Lean.Compiler.LCNF.mkAuxParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L476-L477","name":"Lean.Compiler.LCNF.mkAuxParam","line":476,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkAuxParam","doc":""},"Lean.Compiler.LCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L266-L267","name":"Lean.Compiler.LCNF.mkAuxLetDecl","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L280-L282","name":"Lean.Compiler.LCNF.mkAuxJpDecl'","line":280,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl'","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L277-L278","name":"Lean.Compiler.LCNF.mkAuxJpDecl","line":277,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl","doc":""},"Lean.Compiler.LCNF.mkAuxFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L272-L275","name":"Lean.Compiler.LCNF.mkAuxFunDecl","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxFunDecl","doc":""},"Lean.Compiler.LCNF.maybeTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L255-L259","name":"Lean.Compiler.LCNF.maybeTypeFormerType","line":255,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.maybeTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type or it is an \"any\" type.\nThis function is similar to `isTypeFormerType`, but more liberal.\nFor example, `isTypeFormerType` returns false for `◾` and `Nat → ◾`, but\nthis function returns 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the given block of potentially mutually recursive functions\nand mark a declaration `f` as recursive if there is an application\n`f ...` in the block.\nThis is an overapproximation, and relies on the fact that our frontend\ncomputes strongly connected components.\nSee comment at `recursive` field.\n"},"Lean.Compiler.LCNF.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Main.lean#L95-L98","name":"Lean.Compiler.LCNF.main","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/Main.html#Lean.Compiler.LCNF.main","doc":""},"Lean.Compiler.LCNF.macroInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToDecl.lean#L15-L20","name":"Lean.Compiler.LCNF.macroInline","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToDecl.html#Lean.Compiler.LCNF.macroInline","doc":"Inline constants tagged with the `[macro_inline]` attribute occurring in `e`.\n"},"Lean.Compiler.LCNF.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L163-L167","name":"Lean.Compiler.LCNF.lambdaLifting","line":163,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.lambdaLifting","doc":"Eliminate all local function declarations.\n"},"Lean.Compiler.LCNF.joinTypes?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L178-L204","name":"Lean.Compiler.LCNF.joinTypes?","line":178,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes?","doc":""},"Lean.Compiler.LCNF.joinTypes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L175-L176","name":"Lean.Compiler.LCNF.joinTypes","line":175,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes","doc":""},"Lean.Compiler.LCNF.isTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L214-L218","name":"Lean.Compiler.LCNF.isTypeFormerType","line":214,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type.\n\nRemark: This is faster than `Lean.Meta.isTypeFormer`, as this\nassumes that the input `type` is an LCNF type.\n"},"Lean.Compiler.LCNF.isTrivialConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L21-L24","name":"Lean.Compiler.LCNF.isTrivialConstructorApp?","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.isTrivialConstructorApp?","doc":""},"Lean.Compiler.LCNF.isSpecCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L209-L210","name":"Lean.Compiler.LCNF.isSpecCandidate","line":209,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.isSpecCandidate","doc":""},"Lean.Compiler.LCNF.isRuntimeBultinType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L90-L91","name":"Lean.Compiler.LCNF.isRuntimeBultinType","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isRuntimeBultinType","doc":"Return `true` iff `declName` is the name of a type with builtin support in the runtime.\n"},"Lean.Compiler.LCNF.isPropFormerTypeQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L19-L22","name":"Lean.Compiler.LCNF.isPropFormerTypeQuick","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerTypeQuick","doc":""},"Lean.Compiler.LCNF.isPropFormerType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L32-L41","name":"Lean.Compiler.LCNF.isPropFormerType.go","line":32,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType.go","doc":""},"Lean.Compiler.LCNF.isPropFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L27-L41","name":"Lean.Compiler.LCNF.isPropFormerType","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType","doc":"Return true iff `type` is `Prop` or `As → Prop`.\n"},"Lean.Compiler.LCNF.isPropFormer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L46-L47","name":"Lean.Compiler.LCNF.isPropFormer","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormer","doc":"Return true iff `e : Prop` or `e : As → Prop`.\n"},"Lean.Compiler.LCNF.isPredicateType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L243-L247","name":"Lean.Compiler.LCNF.isPredicateType","line":243,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPredicateType","doc":"Return `true` if `type` is a predicate.\nExamples: `Nat → Prop`, `Prop`, `Int → Bool → Prop`.\n"},"Lean.Compiler.LCNF.isLcCast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L22-L26","name":"Lean.Compiler.LCNF.isLcCast?","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isLcCast?","doc":"Return `true` if `e` is a `lcCast` application.\n"},"Lean.Compiler.LCNF.isInductiveWithNoCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L286-L289","name":"Lean.Compiler.LCNF.isInductiveWithNoCtors","line":286,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isInductiveWithNoCtors","doc":"Return `true` if `type` is an inductive datatype with 0 constructors. "},"Lean.Compiler.LCNF.isEtaExpandCandidateCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Bind.lean#L96-L99","name":"Lean.Compiler.LCNF.isEtaExpandCandidateCore","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.isEtaExpandCandidateCore","doc":""},"Lean.Compiler.LCNF.isErasedCompatible.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L302-L313","name":"Lean.Compiler.LCNF.isErasedCompatible.go","line":302,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible.go","doc":""},"Lean.Compiler.LCNF.isErasedCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/InferType.lean#L299-L313","name":"Lean.Compiler.LCNF.isErasedCompatible","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible","doc":"Return `true` if `type` should be erased. See item 1 in the note above where `x ◾ ◾` is\na proposition and should be erased when the universe level parameter is set to 0.\n\nRemark: `predVars` is a bitmask that indicates whether de-bruijn variables are predicates or not.\nThat is, `#i` is a predicate if `predVars[predVars.size - i - 1] = true`\n"},"Lean.Compiler.LCNF.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/CompilerM.lean#L99-L101","name":"Lean.Compiler.LCNF.isConstructorApp","line":99,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.isConstructorApp","doc":""},"Lean.Compiler.LCNF.isCompilerRelevantMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L16-L17","name":"Lean.Compiler.LCNF.isCompilerRelevantMData","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCompilerRelevantMData","doc":"Return `true` if `mdata` should be preserved.\nRight now, we don't preserve any `MData`, but this may\nchange in the future when we add support for debugging information\n"},"Lean.Compiler.LCNF.isClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L264-L269","name":"Lean.Compiler.LCNF.isClass?","line":264,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isClass?","doc":"`isClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.isCasesApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Util.lean#L63-L69","name":"Lean.Compiler.LCNF.isCasesApp?","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCasesApp?","doc":""},"Lean.Compiler.LCNF.isArrowClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L275-L278","name":"Lean.Compiler.LCNF.isArrowClass?","line":275,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isArrowClass?","doc":"`isArrowClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`, or\nif it is arrow producing an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.instantiateRevRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L702-L706","name":"Lean.Compiler.LCNF.instantiateRevRangeArgs","line":702,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRevRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L696-L700","name":"Lean.Compiler.LCNF.instantiateRangeArgs","line":696,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateForall.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L229-L236","name":"Lean.Compiler.LCNF.instantiateForall.go","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall.go","doc":""},"Lean.Compiler.LCNF.instantiateForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Types.lean#L226-L237","name":"Lean.Compiler.LCNF.instantiateForall","line":226,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall","doc":"Given a LCNF `type` of the form `forall (a_1 : A_1) ... 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`LetValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L492-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","line":492,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L487-L490","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","line":487,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","doc":"If we see a function being passed as an argument to a higher order\nfunction we cannot know what arguments it will be passed further\ndown the line. Hence we set all of its arguments to `top` since anything\nis possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L477-L479","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","line":477,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L408-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode","line":408,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode","doc":"The actual abstract interpreter on a block of `Code`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.instReprValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instReprValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instReprValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.inferStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L505-L519","name":"Lean.Compiler.LCNF.UnreachableBranches.inferStep","line":505,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferStep","doc":"Rerun the abstract interpreter on all declarations except of the unsafe\nones. Return whether any `Value` got updated in the process.\n"},"Lean.Compiler.LCNF.UnreachableBranches.inferMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L524-L531","name":"Lean.Compiler.LCNF.UnreachableBranches.inferMain","line":524,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferMain","doc":"Run `inferStep` until it reaches a fix point.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L261-L264","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","doc":"Obtain the `Value` for a function name if possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L312-L313","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunVal","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunVal","doc":"Get the `Value` of a certain function in the current block by index.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L306-L307","name":"Lean.Compiler.LCNF.UnreachableBranches.getAssignment","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getAssignment","doc":"Get the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L242-L250","name":"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","line":242,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","doc":"Storing `FunctionSummaries` for all functions in a `.olean`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findVarValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L332-L334","name":"Lean.Compiler.LCNF.UnreachableBranches.findVarValue","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findVarValue","doc":"Obtain the `Value` associated with `var` from the context of `InterpM`.\nIf none is available return `Value.bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L315-L318","name":"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.findArgValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L339-L342","name":"Lean.Compiler.LCNF.UnreachableBranches.findArgValue","line":339,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findArgValue","doc":"Find the value of `arg` using the logic of `findVarValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L542-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","line":542,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.elimDead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L538-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead","line":538,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead","doc":"Use the information produced by the abstract interpeter to:\n- Eliminate branches that we know cannot be hit\n- Eliminate values that we know have to be constants.\n"},"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L255-L256","name":"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","line":255,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","doc":"Add a `Value` for a function name.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.widening":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L129-L130","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.widening","line":129,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.widening","doc":"Widening operator that guarantees termination in our abstract interpreter. "},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L101-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","line":101,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L98-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","line":98,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","doc":"Make sure constructors of recursive inductive datatypes can only occur once in each path.\nValues at depth > `maxValueDepth` are also approximated at `top`.\nWe use this function to implement a simple widening operation for our abstract interpreter.\nRecall the widening functions is used to ensure termination in abstract interpreters.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L24-L27","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.top","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.top","doc":"All values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L177-L180","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.proj","line":177,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.proj","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L168-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","line":168,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L163-L167","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","line":163,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L157-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","line":157,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L172-L175","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","line":172,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L76-L88","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.merge","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.merge","doc":"Merge two values into one. `bot` is the neutral element, `top` the annihilator.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L41-L41","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L186-L188","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","line":186,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","doc":"We say that a `Value` is a literal iff it is only a tree of `Value.ctor`\nnodes.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L53-L53","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","line":53,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L206-L221","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","line":206,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L223-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","line":223,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L199-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","line":199,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","doc":"Attempt to turn a `Value` that is representing a literal into a set of\nauxiliary declarations + the final `FVarId` of the declaration that\ncontains the actual literal. If it is not a literal return none.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L147-L155","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","doc":"Obtain the arguments of a certain constructor within the `Value`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L28-L31","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","doc":"A certian consructor with a certain sets of parameters is possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L138-L142","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","doc":"Check whether a certain constructor is part of a `Value` by name.\nNote that both `top` and `bot` will always true here. For bot this is\nbecause we have no information about the `Value` so just to be sure\nwe don't claim the absence of a certain constructor.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L32-L35","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.choice","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.choice","doc":"A set of values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.bot":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L20-L23","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.bot","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.bot","doc":"Undefined, could be anything we have no information.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L43-L51","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.beq","line":43,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.beq","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L63-L71","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","line":63,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","doc":"Fuse `v` into `vs`. That is do not only append but if we see that `v`\nis a constructor that is already contained within `vs` try to detect\nthe difference between these values and merge them accordingly into a\nchoice node further down the tree.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L19-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.Value","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value","doc":"The abstract domain of the interpreter. Representing sets of values\nof a certain type.\n"},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L1-L1","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L296-L296","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","doc":"`Value`s of functions in the `InterpContext` use during computation of\nthe fixpoint. 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args[arity:]\n```\n"},"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L635-L643","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","line":635,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","doc":""},"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L478-L483","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","line":478,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","doc":"Eta expand if under applied, otherwise apply k "},"Lean.Compiler.LCNF.ToLCNF.toLCNF":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L416-L752","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF","doc":"Put the given expression in `LCNF`.\n\n- Nested proofs are replaced with `lcProof`-applications.\n- Eta-expand applications of declarations that satisfy `shouldEtaExpand`.\n- Put computationally relevant expressions in A-normal form.\n"},"Lean.Compiler.LCNF.ToLCNF.toCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L240-L245","name":"Lean.Compiler.LCNF.ToLCNF.toCode","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toCode","doc":"Create `Code` that executes the current `seq` and then returns `result` "},"Lean.Compiler.LCNF.ToLCNF.seqToCode.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L154-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode.go","line":154,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.seqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L151-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode","line":151,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode","doc":""},"Lean.Compiler.LCNF.ToLCNF.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L247-L248","name":"Lean.Compiler.LCNF.ToLCNF.run","line":247,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.run","doc":""},"Lean.Compiler.LCNF.ToLCNF.pushElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L220-L221","name":"Lean.Compiler.LCNF.ToLCNF.pushElement","line":220,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.pushElement","doc":"Add LCNF element to the current sequence "},"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L366-L372","name":"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","line":366,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L223-L226","name":"Lean.Compiler.LCNF.ToLCNF.mkUnreachable","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkUnreachable","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L322-L328","name":"Lean.Compiler.LCNF.ToLCNF.mkParam","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkParam","doc":"Create a new local declaration using a Lean regular type. "},"Lean.Compiler.LCNF.ToLCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L330-L340","name":"Lean.Compiler.LCNF.ToLCNF.mkLetDecl","line":330,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkLcProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L24-L25","name":"Lean.Compiler.LCNF.ToLCNF.mkLcProof","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLcProof","doc":"Create the temporary `lcProof` "},"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L228-L234","name":"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","line":228,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.litToValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L404-L407","name":"Lean.Compiler.LCNF.ToLCNF.litToValue","line":404,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.litToValue","doc":""},"Lean.Compiler.LCNF.ToLCNF.liftMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L216-L217","name":"Lean.Compiler.LCNF.ToLCNF.liftMetaM","line":216,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.liftMetaM","doc":""},"Lean.Compiler.LCNF.ToLCNF.letValueToArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L236-L237","name":"Lean.Compiler.LCNF.ToLCNF.letValueToArg","line":236,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.letValueToArg","doc":""},"Lean.Compiler.LCNF.ToLCNF.isLCProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L20-L21","name":"Lean.Compiler.LCNF.ToLCNF.isLCProof","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.isLCProof","doc":"Return `true` if `e` is a `lcProof` application.\nRecall that we use `lcProof` to erase all nested proofs.\n"},"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L38-L38","name":"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","doc":""},"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L388-L402","name":"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","line":388,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","doc":"Eta reduce implicits. We use this function to eliminate introduced by the implicit lambda feature,\nwhere it generates terms such as `fun {α} => ReaderT.pure`\n"},"Lean.Compiler.LCNF.ToLCNF.etaExpandN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L377-L382","name":"Lean.Compiler.LCNF.ToLCNF.etaExpandN","line":377,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaExpandN","doc":"Eta-expand with `n` lambdas.\n"},"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L314-L319","name":"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","line":314,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L67-L68","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","line":67,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L78-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.go","line":78,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L70-L76","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","line":70,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L60-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases","doc":"This method returns code that at each exit point of `cases`, it jumps to `jpDecl`.\nIt is similar to `Code.bind`, but we add special support for `inlineMatcher`.\nThe `inlineMatcher` function inlines the auxiliary `_match_` declarations.\nTo make sure there is no code duplication, `inlineMatcher` creates auxiliary declarations `_alt.`.\nWe can say the `_alt.` declarations are pre join points. For each auxiliary declaration used at\nan exit point of `cases`, this method creates an new auxiliary join point that invokes `_alt.`,\nand then jumps to `jpDecl`. The goal is to make sure the auxiliary join point is the only occurrence\nof `_alt.`, then `simp` will inline it.\nThat is, our goal is to try to promote the pre join points `_alt.` into a proper join point.\n"},"Lean.Compiler.LCNF.ToLCNF.applyToAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L299-L303","name":"Lean.Compiler.LCNF.ToLCNF.applyToAny","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.applyToAny","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.typeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L200-L200","name":"Lean.Compiler.LCNF.ToLCNF.State.typeCache","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.typeCache","doc":"`toLCNFType` cache "},"Lean.Compiler.LCNF.ToLCNF.State.toAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L212-L212","name":"Lean.Compiler.LCNF.ToLCNF.State.toAny","line":212,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.toAny","doc":"Fields that are type formers must be replaced with `◾`\nin the resulting code. Otherwise, we have data occurring in\ntypes.\nWhen converting a `casesOn` into LCNF, we add constructor fields\nthat are types and type formers into this set. See `visitCases`.\n"},"Lean.Compiler.LCNF.ToLCNF.State.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L204-L204","name":"Lean.Compiler.LCNF.ToLCNF.State.seq","line":204,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.seq","doc":"LCNF sequence, we chain it to create a LCNF `Code` object. "},"Lean.Compiler.LCNF.ToLCNF.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L1-L1","name":"Lean.Compiler.LCNF.ToLCNF.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.mk","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L196-L196","name":"Lean.Compiler.LCNF.ToLCNF.State.lctx","line":196,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.lctx","doc":"Local context containing the original Lean types (not LCNF ones). "},"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L202-L202","name":"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","line":202,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","doc":"isTypeFormerType cache "},"Lean.Compiler.LCNF.ToLCNF.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToLCNF.lean#L198-L198","name":"Lean.Compiler.LCNF.ToLCNF.State.cache","line":198,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.cache","doc":"Cache from Lean regular expression to LCNF argument. 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processed\n"},"Lean.Compiler.LCNF.Specialize.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L42-L55","name":"Lean.Compiler.LCNF.Specialize.Context","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Context","doc":""},"Lean.Compiler.LCNF.Specialize.Collector.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L137-L152","name":"Lean.Compiler.LCNF.Specialize.Collector.collect","line":137,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Collector.collect","doc":"Given the specialization mask `paramsInfo` and the arguments `args`,\ncollect their dependencies, and return an array `mask` of size `paramsInfo.size` s.t.\n- `mask[i] = some args[i]` if `paramsInfo[i] != .other`\n- `mask[i] = none`, otherwise.\nThat is, `mask` contains only the arguments that are contributing to the code specialization.\nWe use this information to compute a \"key\" to uniquely identify the code specialization, and\ncreating the specialized code.\n"},"Lean.Compiler.LCNF.Specialize.CacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L1-L1","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.mk","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L23-L23","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.key","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.key","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L24-L24","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.declName","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.declName","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L22-L25","name":"Lean.Compiler.LCNF.Specialize.CacheEntry","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry","doc":""},"Lean.Compiler.LCNF.Specialize.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L20-L20","name":"Lean.Compiler.LCNF.Specialize.Cache","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Cache","doc":""},"Lean.Compiler.LCNF.SpecState.specInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L53-L53","name":"Lean.Compiler.LCNF.SpecState.specInfo","line":53,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.specInfo","doc":""},"Lean.Compiler.LCNF.SpecState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.mk","doc":""},"Lean.Compiler.LCNF.SpecState.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L63-L65","name":"Lean.Compiler.LCNF.SpecState.addEntry","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.addEntry","doc":""},"Lean.Compiler.LCNF.SpecState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L52-L54","name":"Lean.Compiler.LCNF.SpecState","line":52,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState","doc":""},"Lean.Compiler.LCNF.SpecParamInfo.user":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L32-L37","name":"Lean.Compiler.LCNF.SpecParamInfo.user","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.user","doc":"An argument that has been specified in the `@[specialize]` attribute. Lean specializes it even if it is\nnot fixed in recursive declarations. Non-termination can happen, and Lean interrupts it with an error message\nbased on the stack depth.\n"},"Lean.Compiler.LCNF.SpecParamInfo.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L38-L41","name":"Lean.Compiler.LCNF.SpecParamInfo.other","line":38,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.other","doc":"Parameter is not going to be specialized.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L27-L31","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","line":27,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","doc":"Computationally irrelevant parameters that are fixed in recursive declarations,\n*and* there is a `fixedInst`, `fixedHO`, or `user` param that depends on it.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L16-L20","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedInst","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedInst","doc":"A parameter that is an type class instance (or an arrow that produces a type class instance),\nand is fixed in recursive declarations. By default, Lean always specializes this kind of argument.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedHO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L21-L26","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedHO","line":21,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedHO","doc":"A parameter that is a function and is fixed in recursive declarations. If the user tags a declaration\nwith `@[specialize]` without specifying which arguments should be specialized, Lean will specialize\n`.fixedHO` arguments in addition to `.fixedInst`.\n"},"Lean.Compiler.LCNF.SpecParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L15-L42","name":"Lean.Compiler.LCNF.SpecParamInfo","line":15,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo","doc":"Each parameter is associated with a `SpecParamInfo`. This information is used by `LCNF/Specialize.lean`.\n"},"Lean.Compiler.LCNF.SpecEntry.paramsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L58-L58","name":"Lean.Compiler.LCNF.SpecEntry.paramsInfo","line":58,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.paramsInfo","doc":""},"Lean.Compiler.LCNF.SpecEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.mk","doc":""},"Lean.Compiler.LCNF.SpecEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L57-L57","name":"Lean.Compiler.LCNF.SpecEntry.declName","line":57,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.declName","doc":""},"Lean.Compiler.LCNF.SpecEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/SpecInfo.lean#L56-L59","name":"Lean.Compiler.LCNF.SpecEntry","line":56,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry","doc":""},"Lean.Compiler.LCNF.Simp.withInlining.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L132-L139","name":"Lean.Compiler.LCNF.Simp.withInlining.check","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining.check","doc":""},"Lean.Compiler.LCNF.Simp.withInlining":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L125-L139","name":"Lean.Compiler.LCNF.Simp.withInlining","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining","doc":"Execute `x` with an updated `inlineStack`. If `value` is of the form `const ...`, add `const` to the stack.\nOtherwise, do not change the `inlineStack`.\n"},"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L152-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","line":152,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","doc":""},"Lean.Compiler.LCNF.Simp.withIncRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L144-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth","line":144,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth","doc":"Similar to the default `Lean.withIncRecDepth`, but include the `inlineStack` in the error messsage.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","doc":""},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L85-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp","line":85,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L103-L104","name":"Lean.Compiler.LCNF.Simp.withDiscrCtor","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtor","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withAddMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L174-L180","name":"Lean.Compiler.LCNF.Simp.withAddMustInline","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withAddMustInline","doc":"Execute `x` with `fvarId` set as `mustInline`.\nAfter execution the original setting is restored.\n"},"Lean.Compiler.LCNF.Simp.updateFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L116-L119","name":"Lean.Compiler.LCNF.Simp.updateFunDeclInfo","line":116,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.updateFunDeclInfo","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.specializePartialApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L45-L57","name":"Lean.Compiler.LCNF.Simp.specializePartialApp","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.specializePartialApp","doc":"Create a new local function declaration when `info.args.size < info.params.size`.\nWe use this function to inline/specialize a partial application of a local function.\n"},"Lean.Compiler.LCNF.Simp.simpValue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L54-L56","name":"Lean.Compiler.LCNF.Simp.simpValue?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpValue?","doc":"Try to apply simple simplifications. "},"Lean.Compiler.LCNF.Simp.simpProj?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L14-L19","name":"Lean.Compiler.LCNF.Simp.simpProj?","line":14,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpProj?","doc":"Try to simplify projections `.proj _ i s` where `s` is constructor.\n"},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L232-L271","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","line":232,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L273-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","line":273,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L204-L230","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visit","line":204,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visit","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L194-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?","doc":"Try to optimize `jpCases` join points.\nWe say a join point is a `jpCases` when it satifies the predicate `isJpCases`.\nIf we have a jump to `jpCases` with a constructor, then we can optimize the code by creating an new join point for\nthe constructor.\nExample: suppose we have\n```lean\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => let x.3 := h x.1; return x.3\n...\ncases x.4\n| ctor1 =>\n let x.5 := cons z.1 z.2\n jmp _jp.1 x.5\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nThis `simpJpCases?` converts it to\n```lean\njp _jp.2 h t :=\n let x.1 := true\n let x.3 := h x.1\n return x.3\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => jmp _jp.2 h t\n...\ncases x.4\n| ctor1 =>\n -- The constructor has been eliminated here\n jmp _jp.2 z.1 z.2\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nNote that if all jumps to the join point are with constructors,\nthen the join point is eliminated as dead code.\n"},"Lean.Compiler.LCNF.Simp.simpFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L179-L183","name":"Lean.Compiler.LCNF.Simp.simpFunDecl","line":179,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpFunDecl","doc":"Simplify the given local function declaration.\n"},"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L106-L109","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","line":106,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","doc":""},"Lean.Compiler.LCNF.Simp.simpCtorDiscr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L41-L45","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscr?","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpCtorDiscr?","doc":""},"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L188-L213","name":"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","line":188,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","doc":"Try to simplify `cases` of `constructor`\n"},"Lean.Compiler.LCNF.Simp.simpAppApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L29-L39","name":"Lean.Compiler.LCNF.Simp.simpAppApp?","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpAppApp?","doc":"Application over application.\n```\nlet g := f a\ng b\n```\nis simplified to `f a b`.\n"},"Lean.Compiler.LCNF.Simp.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L218-L333","name":"Lean.Compiler.LCNF.Simp.simp","line":218,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simp","doc":"Simplify `code`\n"},"Lean.Compiler.LCNF.Simp.shouldInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L200-L204","name":"Lean.Compiler.LCNF.Simp.shouldInlineLocal","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.shouldInlineLocal","doc":"Return `true` if the given local function declaration should be inlined.\n"},"Lean.Compiler.LCNF.Simp.markUsedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L22-L23","name":"Lean.Compiler.LCNF.Simp.markUsedType","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedType","doc":"Mark all free variables occurring in `type` as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L37-L42","name":"Lean.Compiler.LCNF.Simp.markUsedLetValue","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetValue","doc":"Mark all free variables occurring in `e` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L48-L49","name":"Lean.Compiler.LCNF.Simp.markUsedLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetDecl","doc":"Mark all free variables occurring on the right-hand side of the given let declaration as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L67-L68","name":"Lean.Compiler.LCNF.Simp.markUsedFunDecl","line":67,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFunDecl","doc":"Mark all free variables occurring in `funDecl` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L15-L16","name":"Lean.Compiler.LCNF.Simp.markUsedFVar","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFVar","doc":"Mark `fvarId` as an used free variable.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L55-L62","name":"Lean.Compiler.LCNF.Simp.markUsedCode","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedCode","doc":"Mark all free variables occurring in `code` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L28-L32","name":"Lean.Compiler.LCNF.Simp.markUsedArg","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedArg","doc":"Mark all free variables occurring in `arg` as used.\n"},"Lean.Compiler.LCNF.Simp.markSimplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L88-L89","name":"Lean.Compiler.LCNF.Simp.markSimplified","line":88,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.markSimplified","doc":"Set the `simplified` flag to `true`. "},"Lean.Compiler.LCNF.Simp.isUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L74-L75","name":"Lean.Compiler.LCNF.Simp.isUsed","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.isUsed","doc":"Return `true` if `fvarId` is in the `used` set.\n"},"Lean.Compiler.LCNF.Simp.isSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L194-L195","name":"Lean.Compiler.LCNF.Simp.isSmall","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isSmall","doc":"Return `true` if the given code is considered \"small\".\n"},"Lean.Compiler.LCNF.Simp.isReturnOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L93-L98","name":"Lean.Compiler.LCNF.Simp.isReturnOf","line":93,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.isReturnOf","doc":"Similar to `Code.isReturnOf`, but taking the current substitution into account.\n"},"Lean.Compiler.LCNF.Simp.isOnceOrMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L186-L189","name":"Lean.Compiler.LCNF.Simp.isOnceOrMustInline","line":186,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isOnceOrMustInline","doc":"Return true if the given local function declaration or join point id is marked as\n`once` or `mustInline`. We use this information to decide whether to inline them.\n"},"Lean.Compiler.LCNF.Simp.isJpCases?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L31-L36","name":"Lean.Compiler.LCNF.Simp.isJpCases?.go","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?.go","doc":""},"Lean.Compiler.LCNF.Simp.isJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L26-L37","name":"Lean.Compiler.LCNF.Simp.isJpCases?","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?","doc":"Given the function declaration `decl`, return `some idx` if it is of the form\n```\nf y :=\n ... /- This part is not bigger than smallThreshold. -/\n cases y\n | ... => ...\n ...\n```\n`idx` is the index of the parameter used in the `cases` statement.\n"},"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instMonadSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L79-L79","name":"Lean.Compiler.LCNF.Simp.instMonadSimpM","line":79,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L84-L85","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","line":84,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L81-L82","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","line":81,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L50-L50","name":"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","line":50,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L43-L43","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","line":43,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L38-L38","name":"Lean.Compiler.LCNF.Simp.instInhabitedConfig","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.instInhabitedConfig","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L77-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","line":77,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L50-L75","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","line":50,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L37-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?","doc":"Auxiliary function for projecting \"type class dictionary access\".\nThat is, we are trying to extract one of the type class instance elements.\nRemark: We do not consider parent instances to be elements.\nFor example, suppose `e` is `_x_4.1`, and we have\n```\n_x_2 : Monad (ReaderT Bool (ExceptT String Id)) := @ReaderT.Monad Bool (ExceptT String Id) _x_1\n_x_3 : Applicative (ReaderT Bool (ExceptT String Id)) := _x_2.1\n_x_4 : Functor (ReaderT Bool (ExceptT String Id)) := _x_3.1\n```\nThen, we will expand `_x_4.1` since it corresponds to the `Functor` `map` element,\nand its type is not a type class, but is of the form\n```\n{α β : Type u} → (α → β) → ...\n```\nIn the example above, the compiler should not expand `_x_3.1` or `_x_2.1` because they are\ntype class applications: `Functor` and `Applicative` respectively.\nBy eagerly expanding them, we may produce inefficient and bloated code.\nFor example, we may be using `_x_3.1` to invoke a function that expects a `Functor` instance.\nBy expanding `_x_3.1` we will be just expanding the code that creates this instance.\n\nThe result is representing a sequence of code containing let-declarations and local function declarations (`Array CodeDecl`)\nand the free variable containing the result (`FVarId`). The resulting `FVarId` often depends only on a small\nsubset of `Array CodeDecl`. However, this method does try to filter the relevant ones.\nWe rely on the `used` var set available in `SimpM` to filter them. See `attachCodeDecls`.\n"},"Lean.Compiler.LCNF.Simp.inlineJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L62-L67","name":"Lean.Compiler.LCNF.Simp.inlineJp?","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineJp?","doc":"Try to inline a join point.\n"},"Lean.Compiler.LCNF.Simp.inlineCandidate?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L34-L106","name":"Lean.Compiler.LCNF.Simp.inlineCandidate?","line":34,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.inlineCandidate?","doc":"Return `some info` if `e` should be inlined.\n"},"Lean.Compiler.LCNF.Simp.inlineApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L121-L174","name":"Lean.Compiler.LCNF.Simp.inlineApp?","line":121,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineApp?","doc":"If the value of the given let-declaration is an application that can be inlined,\ninline it and simplify the result.\n\n`k` is the \"continuation\" for the let declaration, if the application is inlined,\nit will also be simplified.\n\nNote: `inlineApp?` did not use to be in this mutually recursive declaration.\nIt used to be invoked by `simp`, and would return `Option Code` that would be\nthen simplified by `simp`. However, this simpler architecture produced an\nexponential blowup in when processing functions such as `Lean.Elab.Deriving.Ord.mkMatch.mkAlts`.\nThe key problem is that when inlining a declaration we often can reduce the number\nof exit points by simplified the inlined code, and then connecting the result to the\ncontinuation `k`. However, this optimization is only possible if we simplify the\ninlined code **before** we attach it to the continuation.\n"},"Lean.Compiler.LCNF.Simp.incVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L92-L93","name":"Lean.Compiler.LCNF.Simp.incVisited","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incVisited","doc":"Increment `visited` performance counter. "},"Lean.Compiler.LCNF.Simp.incInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L100-L101","name":"Lean.Compiler.LCNF.Simp.incInlineLocal","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInlineLocal","doc":"Increment `inlineLocal` performance counter. It is the number of inlined local function and join point declarations. "},"Lean.Compiler.LCNF.Simp.incInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L96-L97","name":"Lean.Compiler.LCNF.Simp.incInline","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInline","doc":"Increment `inline` performance counter. It is the number of inlined global declarations. "},"Lean.Compiler.LCNF.Simp.getIndInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L71-L79","name":"Lean.Compiler.LCNF.Simp.getIndInfo?","line":71,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.getIndInfo?","doc":"If `type` is an inductive datatype, return its universe levels and parameters.\n"},"Lean.Compiler.LCNF.Simp.findFunDecl'?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Basic.lean#L23-L29","name":"Lean.Compiler.LCNF.Simp.findFunDecl'?","line":23,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Basic.html#Lean.Compiler.LCNF.Simp.findFunDecl'?","doc":"Similar to `findFunDecl?`, but follows aliases (i.e., `let _x.i := _x.j`).\nConsider the following example\n```\nfun _f.1 ... := ...\nlet _x.2 := _f.1\n```\n`findFunDecl? _x.2` returns `none`, but `findFunDecl'? _x.2` returns the declaration for `_f.1`.\n"},"Lean.Compiler.LCNF.Simp.findCtorName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.findCtorName?","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtorName?","doc":""},"Lean.Compiler.LCNF.Simp.findCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L54-L62","name":"Lean.Compiler.LCNF.Simp.findCtor?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtor?","doc":"If `fvarId` is a constructor application, returns constructor information.\nRemark: we use the map `discrCtorMap`.\nRemark: We use this method when simplifying projections and cases-constructor.\n"},"Lean.Compiler.LCNF.Simp.etaPolyApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L75-L88","name":"Lean.Compiler.LCNF.Simp.etaPolyApp?","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.etaPolyApp?","doc":"When the configuration flag `etaPoly = true`, we eta-expand\npartial applications of functions that take local instances as arguments.\nThis kind of function is inlined or specialized, and we create new\nsimplification opportunities by eta-expanding them.\n"},"Lean.Compiler.LCNF.Simp.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L223-L225","name":"Lean.Compiler.LCNF.Simp.eraseLetDecl","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseLetDecl","doc":"Erase the given let-declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L231-L233","name":"Lean.Compiler.LCNF.Simp.eraseFunDecl","line":231,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseFunDecl","doc":"Erase the given local function declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.elimVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Main.lean#L100-L102","name":"Lean.Compiler.LCNF.Simp.elimVar?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.elimVar?","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L68-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","line":68,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L64-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo","doc":"Return a map containing entries `jpFVarId ↦ { paramIdx, ctorNames }` where `jpFVarId` is the id of join point\nin code that satisfies `isJpCases`, and `ctorNames` is a set of constructor names such that\nthere is a jump `.jmp jpFVarId #[..., x, ...]` in `code` and `x` is a constructor application.\n`paramIdx` is the index of the parameter\n"},"Lean.Compiler.LCNF.Simp.betaReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L211-L217","name":"Lean.Compiler.LCNF.Simp.betaReduce","line":211,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.betaReduce","doc":"LCNF \"Beta-reduce\". The equivalent of `(fun params => code) args`.\nIf `mustInline` is true, the local function declarations in the resulting code are marked as `.mustInline`.\nSee comment at `updateFunDeclInfo`.\n"},"Lean.Compiler.LCNF.Simp.attachCodeDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls.go","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls.go","doc":""},"Lean.Compiler.LCNF.Simp.attachCodeDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Used.lean#L86-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls","doc":"Attach the given `decls` to `code`. For example, assume `decls` is `#[.let _x.1 := 10, .let _x.2 := true]`,\nthen the result is\n```\nlet _x.1 := 10\nlet _x.2 := true\n\n```\n"},"Lean.Compiler.LCNF.Simp.applyImplementedBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L47-L51","name":"Lean.Compiler.LCNF.Simp.applyImplementedBy?","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.applyImplementedBy?","doc":""},"Lean.Compiler.LCNF.Simp.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L104-L105","name":"Lean.Compiler.LCNF.Simp.addMustInline","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addMustInline","doc":"Mark the local function declaration or join point with the given id as a \"must inline\". "},"Lean.Compiler.LCNF.Simp.addFunOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L108-L109","name":"Lean.Compiler.LCNF.Simp.addFunOcc","line":108,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunOcc","doc":"Add a new occurrence of local function `fvarId`. "},"Lean.Compiler.LCNF.Simp.addFunHoOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L112-L113","name":"Lean.Compiler.LCNF.Simp.addFunHoOcc","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunHoOcc","doc":"Add a new occurrence of local function `fvarId` in argument position . "},"Lean.Compiler.LCNF.Simp.addFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L242-L248","name":"Lean.Compiler.LCNF.Simp.addFVarSubst","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFVarSubst","doc":"Similar to `LCNF.addFVarSubst`. That is, add the entry\n`fvarId ↦ fvarId'` to the free variable substitution.\nIf `fvarId` has a non-internal binder name `n`, but `fvarId'` does not,\nthis method also adds the entry `fvarId' ↦ n` to the `binderRenaming` map.\nThe goal is to preserve user provided names.\n"},"Lean.Compiler.LCNF.Simp.addDefaultAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DefaultAlt.lean#L45-L65","name":"Lean.Compiler.LCNF.Simp.addDefaultAlt","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DefaultAlt.html#Lean.Compiler.LCNF.Simp.addDefaultAlt","doc":"Add a default case to the given `cases` alternatives if there\nare alternatives with equivalent (aka alpha equivalent) right hand sides.\n"},"Lean.Compiler.LCNF.Simp.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L64-L64","name":"Lean.Compiler.LCNF.Simp.State.visited","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.visited","doc":"Number of visited `let-declarations` and terminal values.\nThis is a performance counter, and currently has no impact on code generation.\n"},"Lean.Compiler.LCNF.Simp.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L46-L46","name":"Lean.Compiler.LCNF.Simp.State.used","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.used","doc":"Track used local declarations to be able to eliminate dead variables.\n"},"Lean.Compiler.LCNF.Simp.State.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.State.subst","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.subst","doc":"Free variable substitution. We use it to implement inlining and removing redundant variables `let _x.i := _x.j`\n"},"Lean.Compiler.LCNF.Simp.State.simplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L59-L59","name":"Lean.Compiler.LCNF.Simp.State.simplified","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.simplified","doc":"`true` if some simplification was performed in the current simplification pass.\n"},"Lean.Compiler.LCNF.Simp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.mk","doc":""},"Lean.Compiler.LCNF.Simp.State.inlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L74-L74","name":"Lean.Compiler.LCNF.Simp.State.inlineLocal","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inlineLocal","doc":"Number of local functions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.inline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L69-L69","name":"Lean.Compiler.LCNF.Simp.State.inline","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inline","doc":"Number of definitions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L55-L55","name":"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","doc":"Mapping used to decide whether a local function declaration must be inlined or not.\n"},"Lean.Compiler.LCNF.Simp.State.binderRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L51-L51","name":"Lean.Compiler.LCNF.Simp.State.binderRenaming","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.binderRenaming","doc":"Mapping containing free variables ids that need to be renamed (i.e., the `binderName`).\nWe use this map to preserve user provide names.\n"},"Lean.Compiler.LCNF.Simp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L38-L74","name":"Lean.Compiler.LCNF.Simp.State","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State","doc":""},"Lean.Compiler.LCNF.Simp.SimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L76-L76","name":"Lean.Compiler.LCNF.Simp.SimpM","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.SimpM","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L55-L56","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","doc":"Return `true` if the collected information suggests opportunities for the `JpCases` optimization. "},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L52-L52","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L44-L44","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","line":44,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","doc":"Parameter index returned by `isJpCases?`. This parameter is the one the join point is performing the case-split. "},"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L49-L49","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","line":49,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","doc":"Set of constructor names s.t. `ctorName` is in the set if there is a jump to the join point where the parameter\n`paramIdx` is a constructor application.\n"},"Lean.Compiler.LCNF.Simp.JpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L42-L50","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo","doc":"Information for join points that satisfy `isJpCases?`\n"},"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L102-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L101-L101","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.default","line":101,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.default","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L100-L100","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L99-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt","line":99,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","doc":"Value (lambda expression) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","doc":"`recursive = true` if the declaration being inline is in a mutually recursive block. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L16-L16","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L23-L23","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","doc":"`ifReduce = true` if the declaration being inlined was tagged with `inline_if_reduce`. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L20-L20","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L28-L29","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","doc":"The arity (aka number of parameters) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L21-L21","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L15-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo","line":15,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo","doc":"Result of `inlineCandidate?`.\nIt contains information for inlining local and global functions.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L112-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","line":112,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L103-L110","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L96-L101","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L92-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L80-L83","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","line":80,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","doc":"Mapping from local function name to inlining information.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L45-L50","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L76-L78","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L66-L71","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","line":66,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","doc":"Add new occurrence for the local function occurring as an argument for another function.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L55-L61","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L38-L43","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap","doc":"Local function declaration statistics.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.once":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L20-L23","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.once","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.once","doc":"Local function is applied once, and must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L29-L32","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","line":29,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","doc":"Function must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.many":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L24-L28","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.many","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.many","doc":"Local function is applied many times or occur as an argument of another function,\nand will only be inlined if it is small.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L19-L33","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo","doc":"Local function usage information used to decide whether it should be inlined or not.\nThe information is an approximation, but it is on the \"safe\" side. That is, if we tagged\na function with `.once`, then it is applied only once. A local function may be marked as\n`.many`, but after simplifications the number of applications may reduce to 1. This is not\na big problem in practice because we run the simplifier multiple times, and this information\nis recomputed from scratch at the beginning of each simplification step.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","doc":"A mapping from discriminant to constructor application it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L41-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","doc":"A mapping from constructor application to discriminant it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L33-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context","line":33,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L47-L47","name":"Lean.Compiler.LCNF.Simp.DiscrM","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM","doc":"Helper monad for tracking mappings from discriminant to constructor applications and back.\nThe combinator `withDiscrCtor` should be used when visiting `cases` alternatives.\n"},"Lean.Compiler.LCNF.Simp.CtorInfo.natVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L16-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo.natVal","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.natVal","doc":"Natural numbers are morally constructor applications "},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L24-L26","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L28-L31","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L19-L22","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getName","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getName","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L15-L15","name":"Lean.Compiler.LCNF.Simp.CtorInfo.ctor","line":15,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.ctor","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L14-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo","line":14,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo","doc":""},"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L104-L104","name":"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","doc":"Mapping from declaration names to number of occurrences at `inlineStack`\n"},"Lean.Compiler.LCNF.Simp.Context.inlineStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Context.inlineStack","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStack","doc":"Stack of global declarations being recursively inlined.\n"},"Lean.Compiler.LCNF.Simp.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L27-L27","name":"Lean.Compiler.LCNF.Simp.Context.declName","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.declName","doc":"Name of the declaration being simplified.\nWe currently use this information because we are generating phase1 declarations on demand,\nand it may trigger non-termination when trying to access the phase1 declaration.\n"},"Lean.Compiler.LCNF.Simp.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L28-L28","name":"Lean.Compiler.LCNF.Simp.Context.config","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.config","doc":""},"Lean.Compiler.LCNF.Simp.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L21-L36","name":"Lean.Compiler.LCNF.Simp.Context","line":21,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L359-L363","name":"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","line":359,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","doc":"All 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folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L336-L354","name":"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","line":336,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L413-L415","name":"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L79-L80","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L153-L158","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","doc":"Turn an `#[a, b, c]` into:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n_x.26\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L104-L108","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L68-L69","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","line":68,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L90-L92","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L60-L62","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","doc":"A wrapper around `mkAuxLetDecl` that also calls `mkLit`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L50-L53","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","doc":"A wrapper around `LCNF.mkAuxLetDecl` that will automatically store the\n`LetDecl` in the state of `FolderM`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L110-L110","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","line":110,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L113-L113","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","line":113,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L112-L112","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","line":112,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L111-L111","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","line":111,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L82-L84","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","line":82,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L71-L73","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","line":71,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L114-L114","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","line":114,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L94-L96","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","line":94,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L302-L304","name":"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","line":302,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","doc":"Literal folders for higher order datastructures.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L75-L77","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L133-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","line":133,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L130-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","line":130,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","doc":"Turns an expression chain of the form\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ a _x.1\nlet _x.3 := @List.cons _ b _x.2\nlet _x.4 := @List.cons _ c _x.3\nlet _x.5 := @List.cons _ d _x.4\nlet _x.6 := @List.cons _ e _x.5\n```\ninto: `[a, b, c, d ,e]` + The type contained in the list\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L417-L418","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","line":417,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L86-L88","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L398-L411","name":"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L423-L424","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","line":423,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","doc":"Apply a list of default folders to `decl`\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L178-L183","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","doc":"Evaluate array literals at compile time, that is turn:\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ z _x.1\nlet _x.3 := @List.cons _ y _x.2\nlet _x.4 := @List.cons _ x _x.3\nlet _x.5 := @List.toArray _ _x.4\n```\nTo its array form:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L387-L389","name":"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","line":387,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L312-L334","name":"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","doc":"All arithmetic folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L368-L376","name":"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","line":368,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","doc":"Apply all known folders to `decl`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","doc":"Turn a value of type `α` into a series of auxiliary `LetDecl`s + a\nfinal `Expr` putting them all together into a literal of type `α`,\nwhere again the idea of what a literal is depends on `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L30","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","line":30,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","doc":"Attempt to turn the provided `Expr` into a value of type `α` if\nit is whatever concept of a literal `α` has. Note that this function\ndoes assume that the provided `Expr` does indeed have type `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal","line":30,"kind":"class","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal","doc":"A typeclass for detecting and producing literals of arbitrary types\ninside of LCNF.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L393-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","line":393,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L392-L392","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","line":392,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L391-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","line":391,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","doc":"A constant folding monad, the additional state stores auxiliary declarations\nrequired to build the new constant.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L396-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","line":396,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L395-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","line":395,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L224-L228","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","doc":"Provide a folder for an operation with a right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L242-L246","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","doc":"Provide a folder for an operation with a right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L306-L307","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L257-L264","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","line":257,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L266-L273","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L188-L192","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","line":188,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","doc":"Turn a unary function such as `Nat.succ` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L203-L210","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","line":203,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L197-L201","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","line":197,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","doc":"Turn a binary function such as `Nat.add` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L290-L291","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","line":290,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","doc":"Provide a folder for an operation that has the same left and right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L296-L297","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","doc":"Provide a folder for an operation that has the same left and right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L215-L219","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","line":215,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","doc":"Provide a folder for an operation with a left neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L233-L237","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","line":233,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","doc":"Provide a folder for an operation with a left annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L278-L285","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","line":278,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","doc":"Pick the first folder out of `folders` that succeeds.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L248-L255","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","line":248,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L24-L24","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder","doc":"A constant folder for a specific function, takes all the arguments of a\ncertain function and produces a new `Expr` + auxiliary declarations in\nthe `FolderM` monad on success. If the folding fails it returns `none`.\n"},"Lean.Compiler.LCNF.Simp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.mk","doc":""},"Lean.Compiler.LCNF.Simp.Config.inlinePartial":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.Config.inlinePartial","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlinePartial","doc":"If `inlinePartial` is `true`, we inline partial function applications tagged\nwith `[inline]`. Note that this option is automatically disabled when processing\ndeclarations tagged with `[inline]`, marked to be specialized, or instances.\n"},"Lean.Compiler.LCNF.Simp.Config.inlineDefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.Config.inlineDefs","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlineDefs","doc":"If `inlineDefs` is `true` then top-level definitions are inlined when they are small are\nannotated with inlining attributes.\n"},"Lean.Compiler.LCNF.Simp.Config.implementedBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Config.implementedBy","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.implementedBy","doc":"If `implementedBy` is `true`, we apply the `implemented_by` replacements.\nRemark: we only apply `casesOn` replacements at phase 2 because `cases` constructor\nmay not have enough information for reconstructing the original `casesOn` application at\nphase 1.\n"},"Lean.Compiler.LCNF.Simp.Config.etaPoly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.Config.etaPoly","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.etaPoly","doc":"If `etaPoly` is true, we eta expand any global function application when\nthe function takes local instances. The idea is that we do not generate code\nfor this kind of application, and we want all of them to specialized or inlined.\n"},"Lean.Compiler.LCNF.Simp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp/Config.lean#L13-L38","name":"Lean.Compiler.LCNF.Simp.Config","line":13,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config","doc":"Configuration options for `Simp` that are not controlled using `set_option`.\nRecall that we have multiple `Simp` passes and they use different configurations.\n"},"Lean.Compiler.LCNF.ScopeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonadScope.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeT","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.ScopeT","doc":""},"Lean.Compiler.LCNF.ScopeM.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L32-L35","name":"Lean.Compiler.LCNF.ScopeM.withNewScope","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withNewScope","doc":"Clear the current scope for the monadic action `x`, afterwards continuing\nwith the old one.\n"},"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L24-L26","name":"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","doc":"Execute `x` but recover the previous scope after doing so.\n"},"Lean.Compiler.LCNF.ScopeM.setScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeM.setScope","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.setScope","doc":""},"Lean.Compiler.LCNF.ScopeM.isInScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L41-L43","name":"Lean.Compiler.LCNF.ScopeM.isInScope","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.isInScope","doc":"Check whether `fvarId` is in the current scope, that is, was declared within\nthe current `fun` declaration that is being processed.\n"},"Lean.Compiler.LCNF.ScopeM.getScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L17-L17","name":"Lean.Compiler.LCNF.ScopeM.getScope","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.getScope","doc":""},"Lean.Compiler.LCNF.ScopeM.clearScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L19-L19","name":"Lean.Compiler.LCNF.ScopeM.clearScope","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.clearScope","doc":""},"Lean.Compiler.LCNF.ScopeM.addToScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L48-L49","name":"Lean.Compiler.LCNF.ScopeM.addToScope","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.addToScope","doc":"Add a new `FVarId` to the current scope.\n"},"Lean.Compiler.LCNF.ScopeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ScopeM.lean#L13-L13","name":"Lean.Compiler.LCNF.ScopeM","line":13,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM","doc":"A general abstraction for the idea of a scope in the compiler.\n"},"Lean.Compiler.LCNF.Scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/MonadScope.lean#L10-L10","name":"Lean.Compiler.LCNF.Scope","line":10,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.Scope","doc":""},"Lean.Compiler.LCNF.Renaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Renaming.lean#L12-L12","name":"Lean.Compiler.LCNF.Renaming","line":12,"kind":"def","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Renaming","doc":"A mapping from free variable id to binder name.\n"},"Lean.Compiler.LCNF.ReduceJpArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L18-L60","name":"Lean.Compiler.LCNF.ReduceJpArity.reduce","line":18,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceJpArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L16-L16","name":"Lean.Compiler.LCNF.ReduceJpArity.ReduceM","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L124-L141","name":"Lean.Compiler.LCNF.ReduceArity.reduce","line":124,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L122-L122","name":"Lean.Compiler.LCNF.ReduceArity.ReduceM","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.paramMask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L120-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context.paramMask","line":120,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.paramMask","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L1-L1","name":"Lean.Compiler.LCNF.ReduceArity.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.mk","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L118-L118","name":"Lean.Compiler.LCNF.ReduceArity.Context.declName","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.declName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L119-L119","name":"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L117-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context","line":117,"kind":"structure","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L26-L27","name":"Lean.Compiler.LCNF.PullLetDecls.withParams","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withParams","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L29-L30","name":"Lean.Compiler.LCNF.PullLetDecls.withNewScope","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withNewScope","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L23-L24","name":"Lean.Compiler.LCNF.PullLetDecls.withFVar","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withFVar","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L36-L46","name":"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","line":36,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fd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cLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context","doc":""},"Lean.Compiler.LCNF.PullFunDecls.pull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L146-L163","name":"Lean.Compiler.LCNF.PullFunDecls.pull","line":146,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.pull","doc":"Pull local function declarations and join points in `code`.\nThe state contains the declarations being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L20-L20","name":"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","line":20,"kind":"instance","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L64-L68","name":"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","doc":"Similar to `findFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L40-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L32-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable. The idea is that we have to stop pulling these declarations because they\ndepend on `fvarId`.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L49-L54","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L56-L58","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L117-L119","name":"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","line":117,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","doc":"Similar to `attachFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attachJps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L121-L125","name":"Lean.Compiler.LCNF.PullFunDecls.attachJps","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachJps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L109-L111","name":"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","line":109,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attach.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L91-L92","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visited","line":91,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visited","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L94-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visit","line":94,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visit","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L87-L89","name":"Lean.Compiler.LCNF.PullFunDecls.attach.go","line":87,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L82-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach","line":82,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach","doc":"Attach the given array of local function declarations and join points to `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.addToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L131-L140","name":"Lean.Compiler.LCNF.PullFunDecls.addToPull","line":131,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.addToPull","doc":"Add local function declaration (or join point if `isFun = false`) to the state.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L19-L19","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.used","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.used","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L1-L1","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L17-L17","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L18-L18","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L73-L77","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","doc":"Construct the code `fun p.decl k` or `jp p.decl k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L16-L20","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull","line":16,"kind":"structure","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull","doc":"Local function declaration and join point being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.PullM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L25-L25","name":"Lean.Compiler.LCNF.PullFunDecls.PullM","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.PullM","doc":"The `PullM` state contains the local function declarations and join points being 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"},"Lean.Compiler.LCNF.LambdaLifting.LiftM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L56-L56","name":"Lean.Compiler.LCNF.LambdaLifting.LiftM","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.LiftM","doc":"Monad for applying lambda lifting. "},"Lean.Compiler.LCNF.LambdaLifting.Context.suffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L26-L26","name":"Lean.Compiler.LCNF.LambdaLifting.Context.suffix","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.suffix","doc":"Suffix for the new auxiliary declarations being created. "},"Lean.Compiler.LCNF.LambdaLifting.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L1-L1","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mk","doc":""},"Lean.Compiler.LCNF.LambdaLifting.Context.minSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L41-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context.minSize","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.minSize","doc":"Only local functions with `size > minSize` are lambda lifted.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L31-L31","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","doc":"Declaration where lambda lifting is being applied.\nWe use it to provide the \"base name\" for auxiliary declarations and the flag `safe`.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L24-L24","name":"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","doc":"If `liftInstParamOnly` is `true`, then only local functions that take\nlocal instances as parameters are lambda lifted.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L36-L36","name":"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","doc":"If true, the lambda-lifted functions inherit the inline attribute from `mainDecl`.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L19-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context","line":19,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context","doc":"Context for the `LiftM` monad. "},"Lean.Compiler.LCNF.LCtx.toLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L63-L71","name":"Lean.Compiler.LCNF.LCtx.toLocalContext","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.toLocalContext","doc":"Convert a LCNF local context into a regular Lean local context.\n"},"Lean.Compiler.LCNF.LCtx.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L15-L15","name":"Lean.Compiler.LCNF.LCtx.params","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.params","doc":""},"Lean.Compiler.LCNF.LCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L1-L1","name":"Lean.Compiler.LCNF.LCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.mk","doc":""},"Lean.Compiler.LCNF.LCtx.letDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L16-L16","name":"Lean.Compiler.LCNF.LCtx.letDecls","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.letDecls","doc":""},"Lean.Compiler.LCNF.LCtx.funDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L17-L17","name":"Lean.Compiler.LCNF.LCtx.funDecls","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.funDecls","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L32-L33","name":"Lean.Compiler.LCNF.LCtx.eraseParams","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParams","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L29-L30","name":"Lean.Compiler.LCNF.LCtx.eraseParam","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParam","doc":""},"Lean.Compiler.LCNF.LCtx.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L35-L36","name":"Lean.Compiler.LCNF.LCtx.eraseLetDecl","line":35,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L39-L44","name":"Lean.Compiler.LCNF.LCtx.eraseFunDecl","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L52-L57","name":"Lean.Compiler.LCNF.LCtx.eraseCode","line":52,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseCode","doc":""},"Lean.Compiler.LCNF.LCtx.eraseAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L46-L50","name":"Lean.Compiler.LCNF.LCtx.eraseAlts","line":46,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseAlts","doc":""},"Lean.Compiler.LCNF.LCtx.addParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L20-L21","name":"Lean.Compiler.LCNF.LCtx.addParam","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addParam","doc":""},"Lean.Compiler.LCNF.LCtx.addLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L23-L24","name":"Lean.Compiler.LCNF.LCtx.addLetDecl","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.addFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L26-L27","name":"Lean.Compiler.LCNF.LCtx.addFunDecl","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LCtx.lean#L14-L18","name":"Lean.Compiler.LCNF.LCtx","line":14,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx","doc":"LCNF local context.\n"},"Lean.Compiler.LCNF.JoinPointFinder.replace.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L183-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace.go","line":183,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L177-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace","line":177,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace","doc":"Replace all join point candidate `fun` declarations with `jp` ones\nand all calls to them with `jmp`s.\n"},"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L32-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L138-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find.go","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L134-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find","line":134,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find","doc":"Find all `fun` declarations that qualify as a join point, that is:\n- are always fully applied\n- are always called in tail position\n\nWhere a `fun` `f` is in tail position iff it is called as follows:\n```\nlet res := f arg\nres\n```\nThe majority (if not all) tail calls will be brought into this form\nby the simplifier pass.\n\nFurthermore a `fun` disqualifies as a join point if turning it into a join\npoint would turn a call to it into an out of scope join point.\nThis can happen if we have something like:\n```\ndef test (b : Bool) (x y : Nat) : Nat :=\n fun myjp x => Nat.add x (Nat.add x x)\n fun f y =>\n let x := Nat.add y y\n myjp x\n fun f y =>\n let x := Nat.mul y y\n myjp x\n cases b (f x) (g y)\n```\n`f` and `g` can be detected as a join point right away, however\n`myjp` can only ever be detected as a join point after we have established\nthis. This is because otherwise the calls to `myjp` in `f` and `g` would\nproduce out of scope join point jumps.\n"},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L51-L51","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L48-L48","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L46-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","doc":"The `FVarId`s of all `fun` declarations that were declared within the\ncurrent `fun`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L41-L41","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","doc":"All current join point candidates accessible by their `FVarId`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L37-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState","line":37,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState","doc":"The state for the join point candidate finder.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L50-L50","name":"Lean.Compiler.LCNF.JoinPointFinder.FindM","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L31-L31","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","doc":"The set of candidates that rely on this candidate to be a join point.\nFor a more detailed explanation see the documentation of `find`\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L26-L26","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","doc":"The arity of the candidate\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L22-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","doc":"Info about a join point candidate (a `fun` declaration) during the find phase.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L360-L365","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","doc":"We call this whenever we enter a new join point. It will set the current\njoin point and extend the list of candidates by all of the parameters of\nthe join point. This is so in the case of nested join points that refer\nto parameters of the current one we extend the context of the nested\njoin points by said parameters.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L348-L351","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","line":348,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","doc":"We call this whenever we enter a new local function. It clears both the\ncurrent join point and the list of candidates since we cant lift join\npoints outside of functions as explained in `mergeJpContextIfNecessary`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L283-L293","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","line":283,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","doc":"Same as `withNewCandidate` but with multiple `FVarId`s.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L272-L278","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","doc":"Add a new candidate to the current scope + to the list of candidates\nif we are currently within a join point. Then execute `x`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L373-L376","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","line":373,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","doc":"We call this whenever we visit a new arm of a cases statement.\nIt will back up the current scope (since we are doing a case split\nand want to continue with other arms afterwards) and add all of the\nparameters of the match arm to the list of candidates.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L261-L266","name":"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","doc":"Replace a free variable if necessary, that is:\n- It is in the list of candidates\n- We are currently within a join point (if we are within a function there\n cannot be a need to replace them since we dont extend their context)\n- Said join point actually has a replacement parameter registered.\notherwise just return `fvar`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L337-L341","name":"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","line":337,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","doc":"Merge the extended context of two join points if necessary. That is\nif we have a structure such as:\n```\njp j.1 ... =>\n jp j.2 .. =>\n ...\n ...\n```\nAnd we are just done visiting `j.2` we want to extend the context of\n`j.1` by all free variables that the context of `j.2` was extended by\nas well because we need to drag these variables through at the call sites\nof `j.2` in `j.1`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L313-L321","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","line":313,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","doc":"Extend the context of the current join point (if we are within one)\nby `fvar` if necessary.\nThis is necessary if:\n- `fvar` is not in scope (that is, was declared outside of the current jp)\n- we have not already extended the context by `fvar`\n- the list of candidates contains `fvar`. This is because if we have something\n like:\n ```\n let x := ..\n fun f a =>\n jp j b =>\n let y := x\n y\n ```\n There is no point in extending the context of `j` by `x` because we\n cannot lift a join point outside of a local function declaration.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L395-L397","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","line":395,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L398-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L390-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend","line":390,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend","doc":"Use all of the above functions to find free variables declared outside\nof join points that said join points can be reasonaly extended by. Reasonable\nmeaning that in case the current join point is nested within a function\ndeclaration we will not extend it by free variables declared before the\nfunction declaration because we cannot lift join points outside of function\ndeclarations.\n\nAll of this is done to eliminate dependencies of join points onto their\nposition within the code so we can pull them out as far as possible, hopefully\nenabling new inlining possibilities in the next simplifier run.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L246-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","line":246,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","doc":"A map from join point `FVarId`s to a respective map from free variables\nto `Param`s. The free variables in this map are the once that the context\nof said join point will be extended by by passing in the respective parameter.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L240-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","line":240,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","doc":"The state managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L251-L251","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","line":251,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","doc":"The monad for the `extendJoinPointContext` pass.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L229-L229","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","doc":"The `FVarId` of the current join point if we are currently inside one.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L235-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","line":235,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","doc":"The list of valid candidates for extending the context. This will be\nall `let` and `fun` declarations as well as all `jp` parameters up\nuntil the last `fun` declaration in the tree.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L225-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","line":225,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","doc":"The context managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L561-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","line":561,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L516-L519","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","line":516,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L521-L559","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","line":521,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L511-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","line":511,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","doc":"Take a look at each join point and each of their call sites. If all\ncall sites of a join point have one or more arguments in common, for example:\n```\njp _jp.1 a b c => ...\n...\ncases foo\n| n1 => jmp _jp.1 d e f\n| n2 => jmp _jp.1 g e h\n```\nWe can get rid of the common argument in favour of inlining it directly\ninto the join point (in this case the `e`). This reduces the amount of\narguments we have to pass around drastically for example in `ReaderT` based\nmonad stacks.\n\nNote 1: This transformation can in certain niche cases obtain better results.\nFor example:\n```\njp foo a b => ..\nlet x := ...\ncases discr\n| n1 => jmp foo x y\n| n2 => jmp foo x z\n```\nHere we will not collapse the `x` since it is defined after the join point `foo`\nand thus not accessible for substitution yet. We could however reorder the code in\nsuch a way that this is possible, this is currently not done since we observe\nthan in praxis most of the applications of this transformation can occur naturally\nwithout reordering.\n\nNote 2: This transformation is kind of the opposite of `JoinPointContextExtender`.\nHowever we still benefit from the extender because in the `simp` run after it\nwe might be able to pull join point declarations further up in the hierarchy\nof nested functions/join points which in turn might enable additional optimizations.\nAfter we have performed all of these optimizations we can take away the\n(remaining) common arguments and end up with nicely floated and optimized\ncode that has as little arguments as possible in the join points.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L468-L469","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","line":468,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L465-L465","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","line":465,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L466-L466","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L463-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","line":463,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","doc":"A map, that for each join point id contains a map from all (so far)\nduplicated argument ids to the respective duplicate value\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L458-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","line":458,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","doc":"State for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L453-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","line":453,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","doc":"The variables that are in scope at the time of the definition of\nthe join point.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/JoinPoints.lean#L448-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","line":448,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","doc":"Context for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.Internalize.internalizeParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L40-L46","name":"Lean.Compiler.LCNF.Internalize.internalizeParam","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeParam","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L48-L55","name":"Lean.Compiler.LCNF.Internalize.internalizeLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeLetDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L59-L67","name":"Lean.Compiler.LCNF.Internalize.internalizeFunDecl","line":59,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeFunDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L89-L93","name":"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L69-L85","name":"Lean.Compiler.LCNF.Internalize.internalizeCode","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCode","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L32-L33","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Internalize.lean#L29-L30","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","line":29,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","doc":"The 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context.\n"},"Lean.Compiler.LCNF.FloatLetIn.instReprDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instReprDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instReprDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialNewArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L149-L152","name":"Lean.Compiler.LCNF.FloatLetIn.initialNewArms","line":149,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialNewArms","doc":"Compute the initial new arms. This will just set up a map from all arms of\n`cs` to empty `Array`s, plus one additional entry for `dont`.\n"},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L132-L137","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L142-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","line":142,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L140-L141","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","line":140,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L118-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions","doc":"Compute the initial decision for all declarations that `BaseFloatM` collected\nup to this point, with respect to `cs`. The initial decisions are:\n- `dont` if the declaration is detected by `ignore?`\n- `dont` if the declaration is the discriminant of `cs` since we obviously need\n the discriminant to be computed before the match.\n- `dont` if we see the declaration being used in more than one cases arm\n- `arm` or `default` if we see the declaration only being used in exactly one cases arm\n- `unknown` otherwise\n"},"Lean.Compiler.LCNF.FloatLetIn.ignore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L100-L106","name":"Lean.Compiler.LCNF.FloatLetIn.ignore?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.ignore?","doc":"Whether to ignore `decl` for the floating mechanism. We want to do this if:\n- `decl`' is storing a typeclass instance\n- `decl` is a projection from a variable that is storing a typeclass instance\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L249-L261","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","line":249,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","doc":"Iterate through the collected declarations,\ndetermining from the bottom up whether they (and the declarations they refer to)\nshould get moved down into the arms of the cases statement or not.\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L263-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","line":263,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","doc":""},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L240-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn","doc":"Iterate throgh `decl`, pushing local declarations that are only used in one\ncontrol flow arm into said arm in order to avoid useless computations.\n"},"Lean.Compiler.LCNF.FloatLetIn.float.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L229-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float.goFVar","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L224-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float","doc":"Will:\n- put `decl` into the arm it is marked to be moved into\n- for any variables that might occur in `decl` and are of interest:\n - if they are already meant to be floated into the same arm or not at all leave them untouched:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => x * y\n | m => z\n ```\n If we are at `y` `x` is alreayd marked to be floated into `n` as well.\n - if there hasn't be a decision yet, that is they are marked with `.unknown` we float\n them into the same arm as the current value:\n ```\n let x := ..\n let y := x + 2\n cases z with\n | n => y\n | m => z\n ```\n Here `x` is initially marked as `.unknown` since it occurs in no branch, however\n since we want to move `y` into the `n` branch we can also decide to move `x`\n into the `n` branch. Note that this decision might be revoked later on in the case of:\n ```\n let x := ..\n let a := x + 1\n let y := x + 2\n cases z with\n | n => y\n | m => a\n ```\n When we visit `a` `x` is now marked as getting moved into `n` but since it also occurs\n in `a` which wants to be moved somewhere else we will instead decide to not move `x`\n at all.\n - if they are meant to be floated somewhere else decide that they wont get floated:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => y\n | m => x\n ```\n If we are at `y` `x` is still marked to be moved but we don't want that.\n"},"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L174-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.dontFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L170-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat","line":170,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat","doc":"Will:\n- put `decl` into the `dont` arm\n- decide that any free variable that occurs in `decl` and is a declaration\n of interest as not getting moved either.\n```\nlet x := ...\nlet y := ...\nlet z := x + y\ncases z with\n| n => z * x\n| m => z * y\n```\nHere `x` and `y` are originally marked as getting floated into `n` and `m`\nrespectively but since `z` can't be moved we don't want that to move `x` and `y`.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L69-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","doc":"A map from decisions (excluding `unknown`) to the declarations with\nthese decisions (in correct order). Basically:\n- Which declarations do we not move\n- Which declarations do we move into a certain arm\n- Which declarations do we move into the default arm\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L61-L61","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","line":61,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","doc":"A map from identifiers of declarations to their current decision.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L57-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState","line":57,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState","doc":"The state for `FloatM`\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L79-L79","name":"Lean.Compiler.LCNF.FloatLetIn.FloatM","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatM","doc":"Use to compute the actual floating.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L33-L37","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","line":33,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","doc":"No decision has been made yet.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L40-L42","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.Decision.dont":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L28-L32","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.dont","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.dont","doc":"Dont move this declaration it is needed where it is right now.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L24-L27","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.default","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.default","doc":"Push into the default arm.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.arm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L19-L23","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.arm","line":19,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.arm","doc":"Push into the arm with name `name`.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L18-L38","name":"Lean.Compiler.LCNF.FloatLetIn.Decision","line":18,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision","doc":"The decision of the float mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L74-L74","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","doc":"Use to collect relevant declarations for the floating mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L52-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","doc":"All the declarations that were collected in the current LCNF basic\nblock up to the current statement (in reverse order for efficiency).\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/FloatLetIn.lean#L47-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","line":47,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","doc":"The context for 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Note that this is an erased LCNF type\ninstead of the fully dependent one that might have been the original\ntype of the declaration in the `Environment`.\n"},"Lean.Compiler.LCNF.Decl.toMono.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L138-L144","name":"Lean.Compiler.LCNF.Decl.toMono.go","line":138,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono.go","doc":""},"Lean.Compiler.LCNF.Decl.toMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToMono.lean#L135-L144","name":"Lean.Compiler.LCNF.Decl.toMono","line":135,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono","doc":""},"Lean.Compiler.LCNF.Decl.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ToExpr.lean#L112-L113","name":"Lean.Compiler.LCNF.Decl.toExpr","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToExpr.html#Lean.Compiler.LCNF.Decl.toExpr","doc":""},"Lean.Compiler.LCNF.Decl.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Specialize.lean#L332-L334","name":"Lean.Compiler.LCNF.Decl.specialize","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Decl.specialize","doc":""},"Lean.Compiler.LCNF.Decl.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L498-L499","name":"Lean.Compiler.LCNF.Decl.size","line":498,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.size","doc":""},"Lean.Compiler.LCNF.Decl.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L23-L38","name":"Lean.Compiler.LCNF.Decl.simp?","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp?","doc":""},"Lean.Compiler.LCNF.Decl.simp.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L69-L74","name":"Lean.Compiler.LCNF.Decl.simp.go","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp.go","doc":""},"Lean.Compiler.LCNF.Decl.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Simp.lean#L40-L74","name":"Lean.Compiler.LCNF.Decl.simp","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp","doc":""},"Lean.Compiler.LCNF.Decl.setLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Level.lean#L150-L152","name":"Lean.Compiler.LCNF.Decl.setLevelParams","line":150,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.Decl.setLevelParams","doc":"Collect universe level parameters collecting in the type, parameters, and value, and then\nset `decl.levelParams` with the resulting value.\n"},"Lean.Compiler.LCNF.Decl.saveMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L59-L60","name":"Lean.Compiler.LCNF.Decl.saveMono","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveMono","doc":""},"Lean.Compiler.LCNF.Decl.saveBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L56-L57","name":"Lean.Compiler.LCNF.Decl.saveBase","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveBase","doc":""},"Lean.Compiler.LCNF.Decl.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PhaseExt.lean#L62-L66","name":"Lean.Compiler.LCNF.Decl.save","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.save","doc":""},"Lean.Compiler.LCNF.Decl.safe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L490-L490","name":"Lean.Compiler.LCNF.Decl.safe","line":490,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.safe","doc":"We set this flag to false during LCNF conversion if the Lean function\nassociated with this function was tagged as partial or unsafe. This\ninformation affects how static analyzers treat function applications\nof this kind. See `DefinitionSafety`.\n`partial` and `unsafe` functions may not be terminating, but Lean\nfunctions terminate, and some static analyzers exploit this\nfact. So, we use the following semantics. Suppose whe hav a (large) natural\nnumber `C`. We consider a nondeterministic model for computation of Lean expressions as\nfollows:\nEach call to a partial/unsafe function uses up one \"recursion token\".\nPrior to consuming `C` recursion tokens all partial functions must be called\nas normal. Once the model has used up `C` recursion tokens, a subsequent call to\na partial function has the following nondeterministic options: it can either call\nthe function again, or return any value of the target type (even a noncomputable one).\nLarger values of `C` yield less nondeterminism in the model, but even the intersection of\nall choices of `C` yields nondeterminism where `def loop : A := loop` returns any value of type `A`.\nThe compiler fixes a choice for `C`. This is a fixed constant greater than 2^2^64,\nwhich is allowed to be compiler and architecture dependent, and promises that it will\nproduce an execution consistent with every possible nondeterministic outcome of the `C`-model.\nIn the event that different nondeterministic executions disagree, the compiler is required to\nexhaust resources or output a looping computation.\n"},"Lean.Compiler.LCNF.Decl.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L69-L71","name":"Lean.Compiler.LCNF.Decl.reduceJpArity","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.Decl.reduceJpArity","doc":"Try to reduce arity of join points\n"},"Lean.Compiler.LCNF.Decl.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/ReduceArity.lean#L147-L178","name":"Lean.Compiler.LCNF.Decl.reduceArity","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.Decl.reduceArity","doc":""},"Lean.Compiler.LCNF.Decl.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L466-L466","name":"Lean.Compiler.LCNF.Decl.recursive","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.recursive","doc":"We set this flag to true during LCNF conversion. When we receive\na block of functions to be compiled, we set this flag to `true`\nif there is an application to the function in the block containing\nit. This is an approximation, but it should be good enough because\nin the frontend, we invoke the compiler with blocks of strongly connected\ncomponents only.\nWe use this information to control inlining.\n"},"Lean.Compiler.LCNF.Decl.pullLetDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L95-L100","name":"Lean.Compiler.LCNF.Decl.pullLetDecls","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullLetDecls","doc":""},"Lean.Compiler.LCNF.Decl.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullLetDecls.lean#L102-L109","name":"Lean.Compiler.LCNF.Decl.pullInstances","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullInstances","doc":""},"Lean.Compiler.LCNF.Decl.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/PullFunDecls.lean#L173-L176","name":"Lean.Compiler.LCNF.Decl.pullFunDecls","line":173,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.Decl.pullFunDecls","doc":"Pull local function declarations and join points in the given declaration.\n"},"Lean.Compiler.LCNF.Decl.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L451-L451","name":"Lean.Compiler.LCNF.Decl.params","line":451,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.params","doc":"Parameters.\n"},"Lean.Compiler.LCNF.Decl.noinlineAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L507-L508","name":"Lean.Compiler.LCNF.Decl.noinlineAttr","line":507,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.noinlineAttr","doc":""},"Lean.Compiler.LCNF.Decl.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L437-L437","name":"Lean.Compiler.LCNF.Decl.name","line":437,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.name","doc":"The name of the declaration from the `Environment` it came from\n"},"Lean.Compiler.LCNF.Decl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L1-L1","name":"Lean.Compiler.LCNF.Decl.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.mk","doc":""},"Lean.Compiler.LCNF.Decl.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L441-L441","name":"Lean.Compiler.LCNF.Decl.levelParams","line":441,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.levelParams","doc":"Universe level parameter names.\n"},"Lean.Compiler.LCNF.Decl.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/LambdaLifting.lean#L156-L158","name":"Lean.Compiler.LCNF.Decl.lambdaLifting","line":156,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.Decl.lambdaLifting","doc":""},"Lean.Compiler.LCNF.Decl.isTemplateLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L605-L613","name":"Lean.Compiler.LCNF.Decl.isTemplateLike","line":605,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isTemplateLike","doc":"Return `true` if `decl` is supposed to be inlined/specialized.\n"},"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L539-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","line":539,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","doc":""},"Lean.Compiler.LCNF.Decl.isCasesOnParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L536-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?","line":536,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?","doc":"Return `some i` if `decl` is of the form\n```\ndef f (a_0 ... a_i ...) :=\n ...\n cases a_i\n | ...\n | ...\n```\nThat is, `f` is a sequence of declarations followed by a `cases` on the parameter `i`.\nWe use this function to decide whether we should inline a declaration tagged with\n`[inline_if_reduce]` or 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That is, executes `c`, and then `f x`, where\n`x` is a variable that contains the result of `c`'s computation.\n\nIf `c` contains a jump to a join point `jp_i` not declared in `c`, we throw an exception because\nan invalid block would be generated. It would be invalid because `f` would not\nbe applied to `jp_i`. Note that, we could have decided to create a copy of `jp_i` where we apply `f` to it,\nby we decided to not do it to avoid code duplication.\n"},"Lean.Compiler.LCNF.Code.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L231-L231","name":"Lean.Compiler.LCNF.Code.beq","line":231,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.beq","doc":""},"Lean.Compiler.LCNF.Code.applyRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Renaming.lean#L39-L49","name":"Lean.Compiler.LCNF.Code.applyRenaming","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Code.applyRenaming","doc":""},"Lean.Compiler.LCNF.Code.alphaEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/AlphaEqv.lean#L133-L134","name":"Lean.Compiler.LCNF.Code.alphaEqv","line":133,"kind":"def","docLink":"./Lean/Compiler/LCNF/AlphaEqv.html#Lean.Compiler.LCNF.Code.alphaEqv","doc":"Return `true` if `c₁` and `c₂` are alpha equivalent.\n"},"Lean.Compiler.LCNF.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Basic.lean#L154-L162","name":"Lean.Compiler.LCNF.Code","line":154,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code","doc":""},"Lean.Compiler.LCNF.Closure.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L148-L150","name":"Lean.Compiler.LCNF.Closure.run","line":148,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.run","doc":""},"Lean.Compiler.LCNF.Closure.markVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L65-L66","name":"Lean.Compiler.LCNF.Closure.markVisited","line":65,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.markVisited","doc":"Mark a free variable as already visited.\nWe perform a topological sort over the dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L143-L144","name":"Lean.Compiler.LCNF.Closure.collectType","line":143,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectType","doc":"Collect dependencies of the given expression. "},"Lean.Compiler.LCNF.Closure.collectParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L73-L74","name":"Lean.Compiler.LCNF.Closure.collectParams","line":73,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectParams","doc":"Collect dependencies in parameters. We need this because parameters may\ncontain other type parameters.\n"},"Lean.Compiler.LCNF.Closure.collectLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L82-L87","name":"Lean.Compiler.LCNF.Closure.collectLetValue","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectLetValue","doc":""},"Lean.Compiler.LCNF.Closure.collectFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L109-L112","name":"Lean.Compiler.LCNF.Closure.collectFunDecl","line":109,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFunDecl","doc":"Collect dependencies of a local function declaration. "},"Lean.Compiler.LCNF.Closure.collectFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L118-L140","name":"Lean.Compiler.LCNF.Closure.collectFVar","line":118,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFVar","doc":"Process the given free variable.\nIf it has not already been visited and is in scope, we collect its dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L93-L106","name":"Lean.Compiler.LCNF.Closure.collectCode","line":93,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectCode","doc":"Collect dependencies in the given code. We need this function to be able\nto collect dependencies in a local function declaration.\n"},"Lean.Compiler.LCNF.Closure.collectArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L76-L80","name":"Lean.Compiler.LCNF.Closure.collectArg","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectArg","doc":""},"Lean.Compiler.LCNF.Closure.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L39-L39","name":"Lean.Compiler.LCNF.Closure.State.visited","line":39,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.visited","doc":"Set of already visited free variables.\n"},"Lean.Compiler.LCNF.Closure.State.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L43-L43","name":"Lean.Compiler.LCNF.Closure.State.params","line":43,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.params","doc":"Free variables that must become new parameters of the code being specialized.\n"},"Lean.Compiler.LCNF.Closure.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L1-L1","name":"Lean.Compiler.LCNF.Closure.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.mk","doc":""},"Lean.Compiler.LCNF.Closure.State.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Compiler/LCNF/Closure.lean#L54-L54","name":"Lean.Compiler.LCNF.Closure.State.decls","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.decls","doc":"Let-declarations and local function declarations that are going to be \"copied\" to the code\nbeing processed. For example, when this module is used in the code specializer, the let-declarations\noften contain the instance values. In the current specialization heuristic all let-declarations are ground values\n(i.e., they do not contain free-variables).\nHowever, local function declarations may contain free variables.\n\nAll customers of this module try to avoid work duplication. 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"},"Lake.getLeanLibDir":{"sourceLink":"https://example.com#L148-L149","name":"Lake.getLeanLibDir","line":148,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanLibDir","doc":"Get the Lean library directory of the detected Lean installation. "},"Lake.getLeanInstall":{"sourceLink":"https://example.com#L136-L137","name":"Lake.getLeanInstall","line":136,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanInstall","doc":"Get the detected Lean installation. "},"Lake.getLeanIncludeDir":{"sourceLink":"https://example.com#L152-L153","name":"Lake.getLeanIncludeDir","line":152,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanIncludeDir","doc":"Get the C include directory of the detected Lean installation. "},"Lake.getLeanCc?":{"sourceLink":"https://example.com#L180-L181","name":"Lake.getLeanCc?","line":180,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc?","doc":"Get the optional `LEAN_CC` compiler override of the detected Lean installation. "},"Lake.getLeanCc":{"sourceLink":"https://example.com#L176-L177","name":"Lake.getLeanCc","line":176,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc","doc":"Get the path of C compiler in the detected Lean installation. "},"Lake.getLeanAr":{"sourceLink":"https://example.com#L172-L173","name":"Lake.getLeanAr","line":172,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanAr","doc":"Get the path of the `ar` binary in the detected Lean installation. "},"Lake.getLean":{"sourceLink":"https://example.com#L160-L161","name":"Lake.getLean","line":160,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLean","doc":"Get the path of the `lean` binary in the detected Lean installation. "},"Lake.getLakeSrcDir":{"sourceLink":"https://example.com#L194-L195","name":"Lake.getLakeSrcDir","line":194,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeSrcDir","doc":"Get the source directory of the detected Lake installation. "},"Lake.getLakeLibDir":{"sourceLink":"https://example.com#L198-L199","name":"Lake.getLakeLibDir","line":198,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeLibDir","doc":"Get the Lean library directory of the detected Lake installation. "},"Lake.getLakeInstall":{"sourceLink":"https://example.com#L186-L187","name":"Lake.getLakeInstall","line":186,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeInstall","doc":"Get the detected Lake installation. "},"Lake.getLakeHome":{"sourceLink":"https://example.com#L190-L191","name":"Lake.getLakeHome","line":190,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeHome","doc":"Get the root directory of the detected Lake installation (e.g., `LAKE_HOME`). "},"Lake.getLakeEnv":{"sourceLink":"https://example.com#L116-L117","name":"Lake.getLakeEnv","line":116,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeEnv","doc":""},"Lake.getLake":{"sourceLink":"https://example.com#L202-L203","name":"Lake.getLake","line":202,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLake","doc":"Get the path of the `lake` binary in the detected Lake installation. "},"Lake.getIsVerbose":{"sourceLink":"https://example.com#L32-L33","name":"Lake.getIsVerbose","line":32,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsVerbose","doc":""},"Lake.getIsQuiet":{"sourceLink":"https://example.com#L35-L36","name":"Lake.getIsQuiet","line":35,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsQuiet","doc":""},"Lake.getIsOldMode":{"sourceLink":"https://example.com#L26-L27","name":"Lake.getIsOldMode","line":26,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.getIsOldMode","doc":""},"Lake.getFileMTime":{"sourceLink":"https://example.com#L199-L200","name":"Lake.getFileMTime","line":199,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.getFileMTime","doc":""},"Lake.getEnvSharedLibPath":{"sourceLink":"https://example.com#L130-L131","name":"Lake.getEnvSharedLibPath","line":130,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvSharedLibPath","doc":"Get the detected `sharedLibPathEnvVar` value of the Lake environment. "},"Lake.getEnvLeanSrcPath":{"sourceLink":"https://example.com#L126-L127","name":"Lake.getEnvLeanSrcPath","line":126,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanSrcPath","doc":"Get the detected `LEAN_SRC_PATH` value of the Lake environment. "},"Lake.getEnvLeanPath":{"sourceLink":"https://example.com#L122-L123","name":"Lake.getEnvLeanPath","line":122,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanPath","doc":"Get the detected `LEAN_PATH` value of the Lake environment. "},"Lake.getBinderIds":{"sourceLink":"https://example.com#L72-L78","name":"Lake.getBinderIds","line":72,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.getBinderIds","doc":""},"Lake.getAugmentedSharedLibPath":{"sourceLink":"https://example.com#L102-L103","name":"Lake.getAugmentedSharedLibPath","line":102,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedSharedLibPath","doc":"Get the augmented shared library path set by the context's workspace. "},"Lake.getAugmentedLeanSrcPath":{"sourceLink":"https://example.com#L98-L99","name":"Lake.getAugmentedLeanSrcPath","line":98,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanSrcPath","doc":"Get the augmented `LEAN_SRC_PATH` set by the context's workspace. "},"Lake.getAugmentedLeanPath":{"sourceLink":"https://example.com#L94-L95","name":"Lake.getAugmentedLeanPath","line":94,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanPath","doc":"Get the augmented `LEAN_PATH` set by the context's workspace. "},"Lake.getAugmentedEnv":{"sourceLink":"https://example.com#L106-L107","name":"Lake.getAugmentedEnv","line":106,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedEnv","doc":"Get the augmented environment variables set by the context's workspace. "},"Lake.forEachModuleIn":{"sourceLink":"https://example.com#L26-L35","name":"Lake.forEachModuleIn","line":26,"kind":"opaque","docLink":"./Lake/Config/Glob.html#Lake.forEachModuleIn","doc":""},"Lake.foldRightListAsync":{"sourceLink":"https://example.com#L262-L263","name":"Lake.foldRightListAsync","line":262,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightListAsync","doc":"Fold a `List` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldRightArrayAsync":{"sourceLink":"https://example.com#L266-L267","name":"Lake.foldRightArrayAsync","line":266,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldLeftListAsync":{"sourceLink":"https://example.com#L254-L255","name":"Lake.foldLeftListAsync","line":254,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftListAsync","doc":"Fold a `List` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.foldLeftArrayAsync":{"sourceLink":"https://example.com#L258-L259","name":"Lake.foldLeftArrayAsync","line":258,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.findPackage?":{"sourceLink":"https://example.com#L62-L63","name":"Lake.findPackage?","line":62,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.findModule?":{"sourceLink":"https://example.com#L66-L67","name":"Lake.findModule?","line":66,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.findLeanSysroot?":{"sourceLink":"https://example.com#L85-L95","name":"Lake.findLeanSysroot?","line":85,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanSysroot?","doc":"Try to find the sysroot of the given `lean` command (if it exists)\nby calling `lean --print-prefix` and returning the path it prints.\nDefaults to trying the `lean` in `PATH`.\n"},"Lake.findLeanLib?":{"sourceLink":"https://example.com#L74-L75","name":"Lake.findLeanLib?","line":74,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.findLeanInstall?":{"sourceLink":"https://example.com#L187-L192","name":"Lake.findLeanInstall?","line":187,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanInstall?","doc":"Try to find Lean's installation by first checking the\n`LEAN_SYSROOT` environment variable and then by trying `findLeanCmdHome?`.\nSee `LeanInstall.get` for how it assumes the Lean install is organized.\n"},"Lake.findLeanExe?":{"sourceLink":"https://example.com#L70-L71","name":"Lake.findLeanExe?","line":70,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.findLeanCmdInstall?":{"sourceLink":"https://example.com#L160-L161","name":"Lake.findLeanCmdInstall?","line":160,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanCmdInstall?","doc":"Try to find the installation of the given `lean` command\nby calling `findLeanCmdHome?`. See `LeanInstall.get` for how it assumes the\nLean install is organized.\n"},"Lake.findLakeLeanJointHome?":{"sourceLink":"https://example.com#L167-L173","name":"Lake.findLakeLeanJointHome?","line":167,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeLeanJointHome?","doc":"Check if Lake's executable is co-located with Lean, and, if so,\ntry to return their joint home by assuming they are both located at `/bin`.\n"},"Lake.findLakeInstall?":{"sourceLink":"https://example.com#L204-L210","name":"Lake.findLakeInstall?","line":204,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeInstall?","doc":"Try to find Lake's installation by\nfirst checking the `LAKE_HOME` environment variable\nand then by trying the `lakePackageHome?` of the running executable.\n\nIt assumes that the Lake installation is organized the same way it is built.\nThat is, with its binary located at `/build/bin/lake` and its static\nlibrary and `.olean` files in `/build/lib`, and its source files\nlocated directly in ``.\n"},"Lake.findInstall?":{"sourceLink":"https://example.com#L225-L239","name":"Lake.findInstall?","line":225,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findInstall?","doc":"Try to get Lake's install path by first trying `findLakeLeanHome?`\nthen by running `findLeanInstall?` and `findLakeInstall?`.\n\nIf Lake is co-located with `lean` (i.e., there is `lean` executable\nin the same directory as itself), it will assume it was installed with\nLean and that both Lake's and Lean's files are all located their shared\nsysroot.\nIn particular, their binaries are located in `/bin`,\ntheir Lean libraries in `/lib/lean`,\nLean's source files in `/src/lean`,\nand Lake's source files in `/src/lean/lake`.\n"},"Lake.findExternLib?":{"sourceLink":"https://example.com#L78-L79","name":"Lake.findExternLib?","line":78,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.fetchOrCreate":{"sourceLink":"https://example.com#L31-L38","name":"Lake.fetchOrCreate","line":31,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.fetchOrCreate","doc":""},"Lake.familyDef":{"sourceLink":"https://example.com#L169-L178","name":"Lake.familyDef","line":169,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.familyDef","doc":"The syntax:\n\n```lean\nfamily_def foo : Fam 0 := Nat\n```\n\nDeclares a new mapping for the open type family `Fam` type via the\nproduction of an axiom `Fam.foo : Data 0 = Nat` and an instance of `FamilyDef`\nthat uses this axiom for key `0`.\n"},"Lake.failOnBuildCycle":{"sourceLink":"https://example.com#L29-L33","name":"Lake.failOnBuildCycle","line":29,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.failOnBuildCycle","doc":""},"Lake.externLibAttr":{"sourceLink":"https://example.com#L32-L33","name":"Lake.externLibAttr","line":32,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.externLibAttr","doc":""},"Lake.expandOptType":{"sourceLink":"https://example.com#L66-L70","name":"Lake.expandOptType","line":66,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptType","doc":""},"Lake.expandOptIdent":{"sourceLink":"https://example.com#L85-L86","name":"Lake.expandOptIdent","line":85,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptIdent","doc":""},"Lake.expandBinders":{"sourceLink":"https://example.com#L152-L160","name":"Lake.expandBinders","line":152,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinders","doc":""},"Lake.expandBinderType":{"sourceLink":"https://example.com#L88-L89","name":"Lake.expandBinderType","line":88,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderType","doc":""},"Lake.expandBinderModifier":{"sourceLink":"https://example.com#L91-L95","name":"Lake.expandBinderModifier","line":91,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderModifier","doc":""},"Lake.expandBinderIdent":{"sourceLink":"https://example.com#L80-L83","name":"Lake.expandBinderIdent","line":80,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderIdent","doc":""},"Lake.exitIfErrorCode":{"sourceLink":"https://example.com#L20-L21","name":"Lake.exitIfErrorCode","line":20,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.exitIfErrorCode","doc":"Exit with `ExitCode` if it is not 0. Otherwise, continue. "},"Lake.exe":{"sourceLink":"https://example.com#L13-L19","name":"Lake.exe","line":13,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.exe","doc":""},"Lake.evalTerm":{"sourceLink":"https://example.com#L15-L15","name":"Lake.evalTerm","line":15,"kind":"opaque","docLink":"./Lake/Util/EvalTerm.html#Lake.evalTerm","doc":""},"Lake.eq_of_compareOfLessAndEq":{"sourceLink":"https://example.com#L51-L56","name":"Lake.eq_of_compareOfLessAndEq","line":51,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.eq_of_compareOfLessAndEq","doc":""},"Lake.env":{"sourceLink":"https://example.com#L10-L11","name":"Lake.env","line":10,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.env","doc":""},"Lake.drbmapOf":{"sourceLink":"https://example.com#L148-L149","name":"Lake.drbmapOf","line":148,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.drbmapOf","doc":""},"Lake.download":{"sourceLink":"https://example.com#L79-L90","name":"Lake.download","line":79,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.download","doc":"Download a file using `curl`, clobbering any existing file. "},"Lake.doElemTry_Else_":{"sourceLink":"https://example.com#L11-L12","name":"Lake.doElemTry_Else_","line":11,"kind":"def","docLink":"./Lake/Util/Sugar.html#Lake.doElemTry_Else_","doc":""},"Lake.dirExt":{"sourceLink":"https://example.com#L13-L14","name":"Lake.dirExt","line":13,"kind":"opaque","docLink":"./Lake/DSL/Extensions.html#Lake.dirExt","doc":""},"Lake.defaultTargetAttr":{"sourceLink":"https://example.com#L38-L47","name":"Lake.defaultTargetAttr","line":38,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultTargetAttr","doc":""},"Lake.defaultScriptAttr":{"sourceLink":"https://example.com#L20-L24","name":"Lake.defaultScriptAttr","line":20,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultScriptAttr","doc":""},"Lake.defaultPackagesDir":{"sourceLink":"https://example.com#L11-L11","name":"Lake.defaultPackagesDir","line":11,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.defaultPackagesDir","doc":"The default setting for a `WorkspaceConfig`'s `packagesDir` option. "},"Lake.defaultNativeLibDir":{"sourceLink":"https://example.com#L64-L64","name":"Lake.defaultNativeLibDir","line":64,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultNativeLibDir","doc":"The default setting for a `PackageConfig`'s `nativeLibDir` option. "},"Lake.defaultManifestFile":{"sourceLink":"https://example.com#L55-L55","name":"Lake.defaultManifestFile","line":55,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultManifestFile","doc":"The default setting for a `PackageConfig`'s `manifestFile` option. "},"Lake.defaultLeanLibDir":{"sourceLink":"https://example.com#L61-L61","name":"Lake.defaultLeanLibDir","line":61,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultLeanLibDir","doc":"The default setting for a `PackageConfig`'s `leanLibDir` option. "},"Lake.defaultIrDir":{"sourceLink":"https://example.com#L70-L70","name":"Lake.defaultIrDir","line":70,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultIrDir","doc":"The default setting for a `PackageConfig`'s `irDir` option. "},"Lake.defaultBuildDir":{"sourceLink":"https://example.com#L58-L58","name":"Lake.defaultBuildDir","line":58,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBuildDir","doc":"The default setting for a `PackageConfig`'s `buildDir` option. "},"Lake.defaultBinDir":{"sourceLink":"https://example.com#L67-L67","name":"Lake.defaultBinDir","line":67,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBinDir","doc":"The default setting for a `PackageConfig`'s `binDir` option. "},"Lake.declareOpaqueType":{"sourceLink":"https://example.com#L19-L29","name":"Lake.declareOpaqueType","line":19,"kind":"def","docLink":"./Lake/Util/Opaque.html#Lake.declareOpaqueType","doc":""},"Lake.customDataDecl":{"sourceLink":"https://example.com#L125-L131","name":"Lake.customDataDecl","line":125,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.customDataDecl","doc":"Macro for declaring new `CustomData`. "},"Lake.crlf2lf.go":{"sourceLink":"https://example.com#L144-L155","name":"Lake.crlf2lf.go","line":144,"kind":"opaque","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf.go","doc":""},"Lake.crlf2lf":{"sourceLink":"https://example.com#L141-L155","name":"Lake.crlf2lf","line":141,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf","doc":"This is the same as `String.replace text \"\\r\\n\" \"\\n\"`, but more efficient. "},"Lake.createParentDirs":{"sourceLink":"https://example.com#L60-L61","name":"Lake.createParentDirs","line":60,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.createParentDirs","doc":""},"Lake.computeTrace":{"sourceLink":"https://example.com#L31-L32","name":"Lake.computeTrace","line":31,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeTrace","doc":""},"Lake.computeListTrace":{"sourceLink":"https://example.com#L62-L63","name":"Lake.computeListTrace","line":62,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeListTrace","doc":""},"Lake.computeHash":{"sourceLink":"https://example.com#L124-L125","name":"Lake.computeHash","line":124,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeHash","doc":""},"Lake.computeFileHash":{"sourceLink":"https://example.com#L129-L130","name":"Lake.computeFileHash","line":129,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeFileHash","doc":""},"Lake.computeDynlibOfShared":{"sourceLink":"https://example.com#L106-L117","name":"Lake.computeDynlibOfShared","line":106,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.computeDynlibOfShared","doc":""},"Lake.computeArrayTrace":{"sourceLink":"https://example.com#L67-L68","name":"Lake.computeArrayTrace","line":67,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeArrayTrace","doc":""},"Lake.compileStaticLib":{"sourceLink":"https://example.com#L51-L58","name":"Lake.compileStaticLib","line":51,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileStaticLib","doc":""},"Lake.compileSharedLib":{"sourceLink":"https://example.com#L60-L67","name":"Lake.compileSharedLib","line":60,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileSharedLib","doc":""},"Lake.compileO":{"sourceLink":"https://example.com#L42-L49","name":"Lake.compileO","line":42,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileO","doc":""},"Lake.compileLeanModule":{"sourceLink":"https://example.com#L13-L40","name":"Lake.compileLeanModule","line":13,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileLeanModule","doc":""},"Lake.compileExe":{"sourceLink":"https://example.com#L69-L76","name":"Lake.compileExe","line":69,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileExe","doc":""},"Lake.compareOfLessAndEq_rfl":{"sourceLink":"https://example.com#L58-L60","name":"Lake.compareOfLessAndEq_rfl","line":58,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.compareOfLessAndEq_rfl","doc":""},"Lake.cmp_iff_eq":{"sourceLink":"https://example.com#L29-L30","name":"Lake.cmp_iff_eq","line":29,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.cmp_iff_eq","doc":""},"Lake.checkIfNewer":{"sourceLink":"https://example.com#L206-L207","name":"Lake.checkIfNewer","line":206,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.checkIfNewer","doc":"Check if the info's `MTIme` is at least `depMTime`. "},"Lake.captureProc?":{"sourceLink":"https://example.com#L55-L61","name":"Lake.captureProc?","line":55,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc?","doc":""},"Lake.captureProc":{"sourceLink":"https://example.com#L44-L53","name":"Lake.captureProc","line":44,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc","doc":""},"Lake.busyAcquireLockFile.busyLoop":{"sourceLink":"https://example.com#L57-L72","name":"Lake.busyAcquireLockFile.busyLoop","line":57,"kind":"opaque","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile.busyLoop","doc":""},"Lake.busyAcquireLockFile":{"sourceLink":"https://example.com#L54-L72","name":"Lake.busyAcquireLockFile","line":54,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile","doc":"Busy waits to acquire the lock represented by the `lockFile`.\nPrints a warning if on the first time it has to wait.\n"},"Lake.buildUnlessUpToDate":{"sourceLink":"https://example.com#L17-L28","name":"Lake.buildUnlessUpToDate","line":17,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildUnlessUpToDate","doc":""},"Lake.buildTop":{"sourceLink":"https://example.com#L137-L139","name":"Lake.buildTop","line":137,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildTop","doc":"Recursively fills a `MonadStore` of key-object pairs by\nbuilding objects topologically (ι.e., depth-first with memoization).\nIf a cycle is detected, the list of keys traversed is thrown.\n"},"Lake.buildStaticLib":{"sourceLink":"https://example.com#L68-L72","name":"Lake.buildStaticLib","line":68,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildStaticLib","doc":""},"Lake.buildO":{"sourceLink":"https://example.com#L56-L60","name":"Lake.buildO","line":56,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildO","doc":""},"Lake.buildLeanSharedLibOfStatic":{"sourceLink":"https://example.com#L90-L104","name":"Lake.buildLeanSharedLibOfStatic","line":90,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLibOfStatic","doc":""},"Lake.buildLeanSharedLib":{"sourceLink":"https://example.com#L74-L80","name":"Lake.buildLeanSharedLib","line":74,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLib","doc":""},"Lake.buildLeanO":{"sourceLink":"https://example.com#L62-L66","name":"Lake.buildLeanO","line":62,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanO","doc":""},"Lake.buildLeanExe":{"sourceLink":"https://example.com#L82-L88","name":"Lake.buildLeanExe","line":82,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanExe","doc":""},"Lake.buildIndexTop'":{"sourceLink":"https://example.com#L84-L85","name":"Lake.buildIndexTop'","line":84,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop'","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.buildIndexTop":{"sourceLink":"https://example.com#L91-L93","name":"Lake.buildIndexTop","line":91,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler and return the dynamic result.\n"},"Lake.buildImportsAndDeps":{"sourceLink":"https://example.com#L55-L70","name":"Lake.buildImportsAndDeps","line":55,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.buildImportsAndDeps","doc":"Builds the workspace-local modules of list of imports.\nUsed by `lake print-paths` to build modules for the Lean server.\nReturns the set of module dynlibs built (so they can be loaded by the server).\n\nBuilds only module `.olean` and `.ilean` files if the package is configured\nas \"Lean-only\". Otherwise, also builds `.c` files.\n"},"Lake.buildFileUnlessUpToDate":{"sourceLink":"https://example.com#L30-L34","name":"Lake.buildFileUnlessUpToDate","line":30,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileUnlessUpToDate","doc":""},"Lake.buildFileAfterDepList":{"sourceLink":"https://example.com#L44-L47","name":"Lake.buildFileAfterDepList","line":44,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepList","doc":""},"Lake.buildFileAfterDepArray":{"sourceLink":"https://example.com#L49-L52","name":"Lake.buildFileAfterDepArray","line":49,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepArray","doc":""},"Lake.buildFileAfterDep":{"sourceLink":"https://example.com#L36-L42","name":"Lake.buildFileAfterDep","line":36,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDep","doc":""},"Lake.buildDTop":{"sourceLink":"https://example.com#L127-L130","name":"Lake.buildDTop","line":127,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildDTop","doc":"Dependently typed version of `buildTop`. "},"Lake.buildAcyclic":{"sourceLink":"https://example.com#L122-L124","name":"Lake.buildAcyclic","line":122,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildAcyclic","doc":"Recursively builds objects for the keys `κ`, avoiding cycles. "},"Lake.binder":{"sourceLink":"https://example.com#L49-L49","name":"Lake.binder","line":49,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.binder","doc":""},"Lake.archiveSuffix":{"sourceLink":"https://example.com#L33-L34","name":"Lake.archiveSuffix","line":33,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.archiveSuffix","doc":"A `tar.gz` file name suffix encoding the the current Platform.\n(i.e, `osDescriptor` joined with `System.Platform.numBits`).\n"},"Lake.WorkspaceConfig.packagesDir":{"sourceLink":"https://example.com#L19-L19","name":"Lake.WorkspaceConfig.packagesDir","line":19,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.packagesDir","doc":"The directory to which Lake should download remote dependencies.\nDefaults to `defaultPackagesDir` (i.e., `lake-packages`).\n"},"Lake.WorkspaceConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.WorkspaceConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.mk","doc":""},"Lake.WorkspaceConfig":{"sourceLink":"https://example.com#L14-L20","name":"Lake.WorkspaceConfig","line":14,"kind":"structure","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig","doc":"A `Workspace`'s declarative configuration. "},"Lake.Workspace.sharedLibPath":{"sourceLink":"https://example.com#L147-L148","name":"Lake.Workspace.sharedLibPath","line":147,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.sharedLibPath","doc":"The workspace's shared library path (e.g., for `--load-dynlib`).\nThis is added to the `sharedLibPathEnvVar` by `lake env`.\n"},"Lake.Workspace.runBuild":{"sourceLink":"https://example.com#L95-L104","name":"Lake.Workspace.runBuild","line":95,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.runBuild","doc":"Run the given build function in the Workspace's context. "},"Lake.Workspace.root":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Workspace.root","line":19,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.root","doc":"The root package of the workspace. "},"Lake.Workspace.relPkgsDir":{"sourceLink":"https://example.com#L48-L49","name":"Lake.Workspace.relPkgsDir","line":48,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.relPkgsDir","doc":"The path to the workspace's remote packages directory relative to `dir`. "},"Lake.Workspace.processImportList":{"sourceLink":"https://example.com#L19-L25","name":"Lake.Workspace.processImportList","line":19,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.Workspace.processImportList","doc":"Construct an `Array` of `Module`s for the workspace-local modules of\na `List` of import strings.\n"},"Lake.Workspace.pkgsDir":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Workspace.pkgsDir","line":52,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.pkgsDir","doc":"The workspace's `dir` joined with its `relPkgsDir`. "},"Lake.Workspace.packageMap":{"sourceLink":"https://example.com#L23-L23","name":"Lake.Workspace.packageMap","line":23,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageMap","doc":"Name-package map of packages within the workspace. "},"Lake.Workspace.packageList":{"sourceLink":"https://example.com#L60-L61","name":"Lake.Workspace.packageList","line":60,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageList","doc":"The `List` of packages to the workspace. "},"Lake.Workspace.packageFacetConfigs":{"sourceLink":"https://example.com#L27-L27","name":"Lake.Workspace.packageFacetConfigs","line":27,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageFacetConfigs","doc":"Name-configuration map of package facets defined in the workspace. "},"Lake.Workspace.packageArray":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Workspace.packageArray","line":64,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageArray","doc":"The `Array` of packages to the workspace. "},"Lake.Workspace.moduleFacetConfigs":{"sourceLink":"https://example.com#L25-L25","name":"Lake.Workspace.moduleFacetConfigs","line":25,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.moduleFacetConfigs","doc":"Name-configuration map of module facets defined in the workspace. "},"Lake.Workspace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Workspace.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.mk","doc":""},"Lake.Workspace.manifestFile":{"sourceLink":"https://example.com#L56-L57","name":"Lake.Workspace.manifestFile","line":56,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.manifestFile","doc":"The workspace's Lake manifest. "},"Lake.Workspace.lockFile":{"sourceLink":"https://example.com#L91-L92","name":"Lake.Workspace.lockFile","line":91,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.lockFile","doc":"The workspace's build lock file. "},"Lake.Workspace.libraryFacetConfigs":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Workspace.libraryFacetConfigs","line":29,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.libraryFacetConfigs","doc":"Name-configuration map of library facets defined in the workspace. "},"Lake.Workspace.leanSrcPath":{"sourceLink":"https://example.com#L136-L141","name":"Lake.Workspace.leanSrcPath","line":136,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanSrcPath","doc":"The workspace's source directories (which are added to `LEAN_SRC_PATH`). "},"Lake.Workspace.leanPath":{"sourceLink":"https://example.com#L132-L133","name":"Lake.Workspace.leanPath","line":132,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanPath","doc":"The workspace's Lean library directories (which are added to `LEAN_PATH`). "},"Lake.Workspace.lakeEnv":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Workspace.lakeEnv","line":21,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.lakeEnv","doc":"The detect `Lake.Env` of the workspace. "},"Lake.Workspace.isLocalModule":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Workspace.isLocalModule","line":76,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isLocalModule","doc":"Check if the module is local to any package in the workspace. "},"Lake.Workspace.isBuildableModule":{"sourceLink":"https://example.com#L80-L81","name":"Lake.Workspace.isBuildableModule","line":80,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isBuildableModule","doc":"Check if the module is buildable by any package in the workspace. "},"Lake.Workspace.findTargetConfig?":{"sourceLink":"https://example.com#L100-L101","name":"Lake.Workspace.findTargetConfig?","line":100,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findTargetConfig?","doc":"Try to find a target configuration in the workspace with the given name. "},"Lake.Workspace.findPackageFacetConfig?":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Workspace.findPackageFacetConfig?","line":116,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackageFacetConfig?","doc":"Try to find a package facet configuration in the workspace with the given name. "},"Lake.Workspace.findPackage?":{"sourceLink":"https://example.com#L72-L73","name":"Lake.Workspace.findPackage?","line":72,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.Workspace.findModuleFacetConfig?":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Workspace.findModuleFacetConfig?","line":108,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModuleFacetConfig?","doc":"Try to find a module facet configuration in the workspace with the given name. "},"Lake.Workspace.findModule?":{"sourceLink":"https://example.com#L84-L85","name":"Lake.Workspace.findModule?","line":84,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.Workspace.findLibraryFacetConfig?":{"sourceLink":"https://example.com#L124-L125","name":"Lake.Workspace.findLibraryFacetConfig?","line":124,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLibraryFacetConfig?","doc":"Try to find a library facet configuration in the workspace with the given name. "},"Lake.Workspace.findLeanLib?":{"sourceLink":"https://example.com#L88-L89","name":"Lake.Workspace.findLeanLib?","line":88,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.Workspace.findLeanExe?":{"sourceLink":"https://example.com#L92-L93","name":"Lake.Workspace.findLeanExe?","line":92,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.Workspace.findExternLib?":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Workspace.findExternLib?","line":96,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.Workspace.dir":{"sourceLink":"https://example.com#L40-L41","name":"Lake.Workspace.dir","line":40,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.dir","doc":"The path to the workspace's directory (i.e., the directory of the root package). "},"Lake.Workspace.config":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Workspace.config","line":44,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.config","doc":"The workspace's configuration. "},"Lake.Workspace.clean":{"sourceLink":"https://example.com#L194-L195","name":"Lake.Workspace.clean","line":194,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.clean","doc":"Remove all packages' build outputs (i.e., delete their build directories). "},"Lake.Workspace.binPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Workspace.binPath","line":128,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.binPath","doc":"The workspace's binary directories (which are added to `Path`). "},"Lake.Workspace.augmentedSharedLibPath":{"sourceLink":"https://example.com#L175-L176","name":"Lake.Workspace.augmentedSharedLibPath","line":175,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedSharedLibPath","doc":""},"Lake.Workspace.augmentedPath":{"sourceLink":"https://example.com#L154-L155","name":"Lake.Workspace.augmentedPath","line":154,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedPath","doc":"The detected `PATH` of the environment augmented with\nthe workspace's `binDir` and Lean and Lake installations' `binDir`.\n"},"Lake.Workspace.augmentedLeanSrcPath":{"sourceLink":"https://example.com#L168-L169","name":"Lake.Workspace.augmentedLeanSrcPath","line":168,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanSrcPath","doc":"The detected `LEAN_SRC_PATH` of the environment augmented with\nthe workspace's `leanSrcPath` and Lake's `srcDir`.\n"},"Lake.Workspace.augmentedLeanPath":{"sourceLink":"https://example.com#L161-L162","name":"Lake.Workspace.augmentedLeanPath","line":161,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanPath","doc":"The detected `LEAN_PATH` of the environment augmented with\nthe workspace's `leanPath` and Lake's `libDir`.\n"},"Lake.Workspace.augmentedEnvVars":{"sourceLink":"https://example.com#L182-L191","name":"Lake.Workspace.augmentedEnvVars","line":182,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedEnvVars","doc":"The detected environment augmented with Lake's and the workspace's paths.\nThese are the settings use by `lake env` / `Lake.env` to run executables.\n"},"Lake.Workspace.addPackageFacetConfig":{"sourceLink":"https://example.com#L112-L113","name":"Lake.Workspace.addPackageFacetConfig","line":112,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackageFacetConfig","doc":"Add a package facet to the workspace. "},"Lake.Workspace.addPackage":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Workspace.addPackage","line":68,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackage","doc":"Add a package to the workspace. "},"Lake.Workspace.addModuleFacetConfig":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Workspace.addModuleFacetConfig","line":104,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addModuleFacetConfig","doc":"Add a module facet to the workspace. "},"Lake.Workspace.addLibraryFacetConfig":{"sourceLink":"https://example.com#L120-L121","name":"Lake.Workspace.addLibraryFacetConfig","line":120,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addLibraryFacetConfig","doc":"Add a library facet to the workspace. "},"Lake.Workspace":{"sourceLink":"https://example.com#L17-L29","name":"Lake.Workspace","line":17,"kind":"structure","docLink":"./Lake/Config/Workspace.html#Lake.Workspace","doc":"A Lake workspace -- the top-level package directory. "},"Lake.Verbosity.verbose":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Verbosity.verbose","line":19,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.verbose","doc":""},"Lake.Verbosity.quiet":{"sourceLink":"https://example.com#L17-L17","name":"Lake.Verbosity.quiet","line":17,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.quiet","doc":""},"Lake.Verbosity.normal":{"sourceLink":"https://example.com#L18-L18","name":"Lake.Verbosity.normal","line":18,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.normal","doc":""},"Lake.Verbosity":{"sourceLink":"https://example.com#L16-L20","name":"Lake.Verbosity","line":16,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.Verbosity","doc":""},"Lake.TypeSpec":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TypeSpec","line":28,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.TypeSpec","doc":""},"Lake.TextFilePath.path":{"sourceLink":"https://example.com#L138-L138","name":"Lake.TextFilePath.path","line":138,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.path","doc":""},"Lake.TextFilePath.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TextFilePath.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.mk","doc":""},"Lake.TextFilePath":{"sourceLink":"https://example.com#L137-L138","name":"Lake.TextFilePath","line":137,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath","doc":"A wrapper around `FilePath` that adjusts its `ComputeHash` implementation\nto normalize `\\r\\n` sequences to `\\n` for cross-platform compatibility. "},"Lake.TargetDecl.pkg":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TargetDecl.pkg","line":28,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.pkg","doc":""},"Lake.TargetDecl.name":{"sourceLink":"https://example.com#L29-L29","name":"Lake.TargetDecl.name","line":29,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.name","doc":""},"Lake.TargetDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TargetDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.mk","doc":""},"Lake.TargetDecl.fetchJob":{"sourceLink":"https://example.com#L31-L34","name":"Lake.TargetDecl.fetchJob","line":31,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetchJob","doc":"Fetch the build job of the target. "},"Lake.TargetDecl.fetch":{"sourceLink":"https://example.com#L24-L28","name":"Lake.TargetDecl.fetch","line":24,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetch","doc":"Fetch the build result of a target. "},"Lake.TargetDecl.config":{"sourceLink":"https://example.com#L30-L30","name":"Lake.TargetDecl.config","line":30,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.config","doc":""},"Lake.TargetDecl":{"sourceLink":"https://example.com#L27-L30","name":"Lake.TargetDecl","line":27,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.TargetData.leanLib.static":{"sourceLink":"https://example.com#L106-L106","name":"Lake.TargetData.leanLib.static","line":106,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.static","doc":""},"Lake.TargetData.leanLib.shared":{"sourceLink":"https://example.com#L110-L110","name":"Lake.TargetData.leanLib.shared","line":110,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.shared","doc":""},"Lake.TargetData.leanLib.modules":{"sourceLink":"https://example.com#L164-L164","name":"Lake.TargetData.leanLib.modules","line":164,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.TargetData.leanLib.modules","doc":""},"Lake.TargetData.leanLib.lean":{"sourceLink":"https://example.com#L102-L102","name":"Lake.TargetData.leanLib.lean","line":102,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.lean","doc":""},"Lake.TargetData.leanLib.extraDep":{"sourceLink":"https://example.com#L114-L114","name":"Lake.TargetData.leanLib.extraDep","line":114,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.extraDep","doc":""},"Lake.TargetData.leanExe":{"sourceLink":"https://example.com#L118-L118","name":"Lake.TargetData.leanExe","line":118,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanExe","doc":""},"Lake.TargetData.externLib.static":{"sourceLink":"https://example.com#L122-L122","name":"Lake.TargetData.externLib.static","line":122,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.static","doc":""},"Lake.TargetData.externLib.shared":{"sourceLink":"https://example.com#L126-L126","name":"Lake.TargetData.externLib.shared","line":126,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.shared","doc":""},"Lake.TargetData.externLib.dynlib":{"sourceLink":"https://example.com#L130-L130","name":"Lake.TargetData.externLib.dynlib","line":130,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.dynlib","doc":""},"Lake.TargetData":{"sourceLink":"https://example.com#L44-L44","name":"Lake.TargetData","line":44,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.TargetData","doc":"The open type family which maps a (builtin) Lake target's (e.g., `extern_lib`)\nfacet to its associated build data. For example, an active build target for\nthe `externLib.static` facet.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `target_data`).\n"},"Lake.TargetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.TargetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.mk","doc":""},"Lake.TargetConfig.getJob":{"sourceLink":"https://example.com#L16-L16","name":"Lake.TargetConfig.getJob","line":16,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.getJob","doc":"The target's resulting build job. "},"Lake.TargetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.TargetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.build","doc":"The target's build function. "},"Lake.TargetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.TargetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig","doc":"A custom target's declarative configuration. "},"Lake.Sync.sync":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Sync.sync","line":30,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Sync.sync","doc":"Run the monadic action as a synchronous task. "},"Lake.Sync.mk":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Sync.mk","line":28,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Sync.mk","doc":""},"Lake.Sync":{"sourceLink":"https://example.com#L28-L30","name":"Lake.Sync","line":28,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Sync","doc":""},"Lake.String.lt_irrefl":{"sourceLink":"https://example.com#L84-L85","name":"Lake.String.lt_irrefl","line":84,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.String.lt_irrefl","doc":""},"Lake.Source.path":{"sourceLink":"https://example.com#L20-L20","name":"Lake.Source.path","line":20,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.path","doc":""},"Lake.Source.git":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Source.git","line":21,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.git","doc":""},"Lake.Source":{"sourceLink":"https://example.com#L19-L22","name":"Lake.Source","line":19,"kind":"inductive","docLink":"./Lake/Config/Dependency.html#Lake.Source","doc":"The `src` of a `Dependency`.\n\nIn Lake, dependency sources currently come into flavors:\n* Local `path`s relative to the package's directory.\n* Remote `git` repositories that are download from a given `url`\n into the workspace's `packagesDir`.\n"},"Lake.SeqWithAsync.seqWithAsync":{"sourceLink":"https://example.com#L134-L134","name":"Lake.SeqWithAsync.seqWithAsync","line":134,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.seqWithAsync","doc":"Combine two (a)synchronous tasks using `f`. "},"Lake.SeqWithAsync.mk":{"sourceLink":"https://example.com#L132-L132","name":"Lake.SeqWithAsync.mk","line":132,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.mk","doc":""},"Lake.SeqWithAsync":{"sourceLink":"https://example.com#L132-L134","name":"Lake.SeqWithAsync","line":132,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync","doc":""},"Lake.SeqRightAsync.seqRightAsync":{"sourceLink":"https://example.com#L128-L128","name":"Lake.SeqRightAsync.seqRightAsync","line":128,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.seqRightAsync","doc":"Combine two (a)synchronous tasks, returning the result of the second one. "},"Lake.SeqRightAsync.mk":{"sourceLink":"https://example.com#L126-L126","name":"Lake.SeqRightAsync.mk","line":126,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.mk","doc":""},"Lake.SeqRightAsync":{"sourceLink":"https://example.com#L126-L128","name":"Lake.SeqRightAsync","line":126,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync","doc":""},"Lake.SeqLeftAsync.seqLeftAsync":{"sourceLink":"https://example.com#L122-L122","name":"Lake.SeqLeftAsync.seqLeftAsync","line":122,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.seqLeftAsync","doc":"Combine two (a)synchronous tasks, returning the result of the first one. "},"Lake.SeqLeftAsync.mk":{"sourceLink":"https://example.com#L120-L120","name":"Lake.SeqLeftAsync.mk","line":120,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.mk","doc":""},"Lake.SeqLeftAsync":{"sourceLink":"https://example.com#L120-L122","name":"Lake.SeqLeftAsync","line":120,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync","doc":""},"Lake.SeqAsync.seqAsync":{"sourceLink":"https://example.com#L116-L116","name":"Lake.SeqAsync.seqAsync","line":116,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.seqAsync","doc":"Combine two (a)synchronous tasks, applying the result of the second one ot the first one. "},"Lake.SeqAsync.mk":{"sourceLink":"https://example.com#L114-L114","name":"Lake.SeqAsync.mk","line":114,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.mk","doc":""},"Lake.SeqAsync":{"sourceLink":"https://example.com#L114-L116","name":"Lake.SeqAsync","line":114,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqAsync","doc":""},"Lake.ScriptM":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ScriptM","line":15,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptM","doc":"The type of a `Script`'s monad.\n`IO` equipped information about the Lake configuration.\n"},"Lake.ScriptFn":{"sourceLink":"https://example.com#L22-L22","name":"Lake.ScriptFn","line":22,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptFn","doc":"The type of a `Script`'s function.\nSimilar to the `main` function's signature, except that its monad is\nalso equipped with information about the Lake configuration.\n"},"Lake.Script.run":{"sourceLink":"https://example.com#L33-L34","name":"Lake.Script.run","line":33,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.run","doc":""},"Lake.Script.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Script.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Script.html#Lake.Script.mk","doc":""},"Lake.Script.fn":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Script.fn","line":29,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.fn","doc":""},"Lake.Script.doc?":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Script.doc?","line":30,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.doc?","doc":""},"Lake.Script":{"sourceLink":"https://example.com#L28-L31","name":"Lake.Script","line":28,"kind":"structure","docLink":"./Lake/Config/Script.html#Lake.Script","doc":"A package `Script` is a `ScriptFn` definition that is\nindexed by a `String` key and can be be run by `lake run [-- ]`.\n"},"Lake.SchedulerM":{"sourceLink":"https://example.com#L29-L29","name":"Lake.SchedulerM","line":29,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.SchedulerM","doc":"The monad for the Lake build manager. "},"Lake.ResultM":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ResultM","line":20,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.ResultM","doc":"The monad of a finished Lake job. "},"Lake.RecFetchFn":{"sourceLink":"https://example.com#L65-L66","name":"Lake.RecFetchFn","line":65,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.RecFetchFn","doc":"A `DRecFetchFn` that is not dependently typed. "},"Lake.RecBuildM.runIn":{"sourceLink":"https://example.com#L39-L41","name":"Lake.RecBuildM.runIn","line":39,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.runIn","doc":"Run the recursive build in the given build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM.run":{"sourceLink":"https://example.com#L47-L48","name":"Lake.RecBuildM.run","line":47,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.run","doc":"Run the recursive build in a fresh build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM":{"sourceLink":"https://example.com#L44-L44","name":"Lake.RecBuildM","line":44,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.RecBuildM","doc":"A recursive build of a Lake build store that may encounter a cycle. "},"Lake.RBNode.dFind":{"sourceLink":"https://example.com#L21-L28","name":"Lake.RBNode.dFind","line":21,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.RBNode.dFind","doc":""},"Lake.Prod.compareWith":{"sourceLink":"https://example.com#L111-L114","name":"Lake.Prod.compareWith","line":111,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Prod.compareWith","doc":""},"Lake.PackageSet.empty":{"sourceLink":"https://example.com#L224-L224","name":"Lake.PackageSet.empty","line":224,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet.empty","doc":""},"Lake.PackageSet":{"sourceLink":"https://example.com#L223-L223","name":"Lake.PackageSet","line":223,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet","doc":""},"Lake.PackageFacetDecl.fetch":{"sourceLink":"https://example.com#L37-L39","name":"Lake.PackageFacetDecl.fetch","line":37,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetDecl.fetch","doc":"Fetch the build result of a package facet. "},"Lake.PackageFacetDecl":{"sourceLink":"https://example.com#L62-L62","name":"Lake.PackageFacetDecl","line":62,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetDecl","doc":"A package facet declaration from a configuration file. "},"Lake.PackageFacetConfig.fetchJob":{"sourceLink":"https://example.com#L42-L46","name":"Lake.PackageFacetConfig.fetchJob","line":42,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetConfig.fetchJob","doc":"Fetch the build job of a package facet. "},"Lake.PackageFacetConfig":{"sourceLink":"https://example.com#L59-L59","name":"Lake.PackageFacetConfig","line":59,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetConfig","doc":"A package facet's declarative configuration. "},"Lake.PackageData.release":{"sourceLink":"https://example.com#L92-L92","name":"Lake.PackageData.release","line":92,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.release","doc":""},"Lake.PackageData.extraDep":{"sourceLink":"https://example.com#L96-L96","name":"Lake.PackageData.extraDep","line":96,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.extraDep","doc":""},"Lake.PackageData.deps":{"sourceLink":"https://example.com#L168-L168","name":"Lake.PackageData.deps","line":168,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.PackageData.deps","doc":""},"Lake.PackageData":{"sourceLink":"https://example.com#L34-L34","name":"Lake.PackageData","line":34,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.PackageData","doc":"The open type family which maps a package facet's name to its build data\nin the Lake build store. For example, a transitive dependencies of the package\nfor the facet `deps`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `package_data`).\n"},"Lake.PackageConfig.srcDir":{"sourceLink":"https://example.com#L114-L114","name":"Lake.PackageConfig.srcDir","line":114,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.srcDir","doc":"The directory containing the package's Lean source files.\nDefaults to the package's directory.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.PackageConfig.releaseRepo?":{"sourceLink":"https://example.com#L154-L154","name":"Lake.PackageConfig.releaseRepo?","line":154,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.releaseRepo?","doc":"The URL of the GitHub repository to upload and download releases of this package.\nIf `none` (the default), for downloads, Lake uses the URL the package was download\nfrom (if it is a dependency) and for uploads, uses `gh`'s default.\n"},"Lake.PackageConfig.preferReleaseBuild":{"sourceLink":"https://example.com#L166-L166","name":"Lake.PackageConfig.preferReleaseBuild","line":166,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.preferReleaseBuild","doc":"Whether to prefer downloading a prebuilt release (from GitHub) rather than\nbuilding this package from the source when this package is used as a dependency.\n"},"Lake.PackageConfig.precompileModules":{"sourceLink":"https://example.com#L100-L100","name":"Lake.PackageConfig.precompileModules","line":100,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.precompileModules","doc":"Whether to compile each of the package's module into a native shared library\nthat is loaded whenever the module is imported. This speeds up evaluation of\nmetaprograms and enables the interpreter to run functions marked `@[extern]`.\n\nDefaults to `false`.\n"},"Lake.PackageConfig.nativeLibDir":{"sourceLink":"https://example.com#L134-L134","name":"Lake.PackageConfig.nativeLibDir","line":134,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.nativeLibDir","doc":"The build subdirectory to which Lake should output the package's\nnative libraries (e.g., `.a`, `.so`, `.dll` files).\nDefaults to `defaultNativeLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.name":{"sourceLink":"https://example.com#L80-L80","name":"Lake.PackageConfig.name","line":80,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.name","doc":"The `Name` of the package. "},"Lake.PackageConfig.moreServerArgs":{"sourceLink":"https://example.com#L106-L106","name":"Lake.PackageConfig.moreServerArgs","line":106,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.moreServerArgs","doc":"Additional arguments to pass to the Lean language server\n(i.e., `lean --server`) launched by `lake server`.\n"},"Lake.PackageConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.PackageConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.mk","doc":""},"Lake.PackageConfig.manifestFile":{"sourceLink":"https://example.com#L88-L88","name":"Lake.PackageConfig.manifestFile","line":88,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.manifestFile","doc":"The path of a package's manifest file, which stores the exact versions\nof its resolved dependencies.\n\nDefaults to `defaultManifestFile` (i.e., `lake-manifest.json`).\n"},"Lake.PackageConfig.leanLibDir":{"sourceLink":"https://example.com#L127-L127","name":"Lake.PackageConfig.leanLibDir","line":127,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.leanLibDir","doc":"The build subdirectory to which Lake should output the package's\nbinary Lean libraries (e.g., `.olean`, `.ilean` files).\nDefaults to `defaultLeanLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.irDir":{"sourceLink":"https://example.com#L147-L147","name":"Lake.PackageConfig.irDir","line":147,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.irDir","doc":"The build subdirectory to which Lake should output\nthe package's intermediary results (e.g., `.c` and `.o` files).\nDefaults to `defaultIrDir` (i.e., `ir`).\n"},"Lake.PackageConfig.extraDepTargets":{"sourceLink":"https://example.com#L91-L91","name":"Lake.PackageConfig.extraDepTargets","line":91,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.extraDepTargets","doc":"An `Array` of target names to build whenever the package is used. "},"Lake.PackageConfig.buildDir":{"sourceLink":"https://example.com#L120-L120","name":"Lake.PackageConfig.buildDir","line":120,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildDir","doc":"The directory to which Lake should output the package's build results.\nDefaults to `defaultBuildDir` (i.e., `build`).\n"},"Lake.PackageConfig.buildArchive?":{"sourceLink":"https://example.com#L160-L160","name":"Lake.PackageConfig.buildArchive?","line":160,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildArchive?","doc":"The name of the build archive on GitHub. Defaults to `none`.\nThe archive's full file name will be `nameToArchive buildArchive?`.\n"},"Lake.PackageConfig.binDir":{"sourceLink":"https://example.com#L140-L140","name":"Lake.PackageConfig.binDir","line":140,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.binDir","doc":"The build subdirectory to which Lake should output the package's binary executable.\nDefaults to `defaultBinDir` (i.e., `bin`).\n"},"Lake.PackageConfig":{"sourceLink":"https://example.com#L77-L168","name":"Lake.PackageConfig","line":77,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.PackageConfig","doc":"A `Package`'s declarative configuration. "},"Lake.Package.weakLeanArgs":{"sourceLink":"https://example.com#L320-L321","name":"Lake.Package.weakLeanArgs","line":320,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.weakLeanArgs","doc":"The package's `weakLeanArgs` configuration. "},"Lake.Package.targetBuildKey":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Package.targetBuildKey","line":44,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.targetBuildKey","doc":""},"Lake.Package.target":{"sourceLink":"https://example.com#L232-L233","name":"Lake.Package.target","line":232,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.target","doc":"Build info for a custom package target. "},"Lake.Package.srcDir":{"sourceLink":"https://example.com#L332-L333","name":"Lake.Package.srcDir","line":332,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.srcDir","doc":"The package's `dir` joined with its `srcDir` configuration. "},"Lake.Package.scripts":{"sourceLink":"https://example.com#L207-L207","name":"Lake.Package.scripts","line":207,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.scripts","doc":"Scripts for the package. "},"Lake.Package.rootDir":{"sourceLink":"https://example.com#L336-L337","name":"Lake.Package.rootDir","line":336,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.rootDir","doc":"The package's root directory for `lean` (i.e., `srcDir`). "},"Lake.Package.remoteUrl?":{"sourceLink":"https://example.com#L188-L188","name":"Lake.Package.remoteUrl?","line":188,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.remoteUrl?","doc":"The URL to this package's Git remote. "},"Lake.Package.releaseRepo?":{"sourceLink":"https://example.com#L275-L276","name":"Lake.Package.releaseRepo?","line":275,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.releaseRepo?","doc":"The package's `releaseRepo?` configuration. "},"Lake.Package.releaseFacetConfig":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Package.releaseFacetConfig","line":73,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.releaseFacetConfig","doc":"The `PackageFacetConfig` for the builtin `releaseFacet`. "},"Lake.Package.releaseFacet":{"sourceLink":"https://example.com#L91-L91","name":"Lake.Package.releaseFacet","line":91,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.releaseFacet","doc":"A package's cloud build release. "},"Lake.Package.release?":{"sourceLink":"https://example.com#L282-L285","name":"Lake.Package.release?","line":282,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.release?","doc":"The package's URL × tag release.\nTries `releaseRepo?` first and then falls back to `remoteUrl?`.\n"},"Lake.Package.release":{"sourceLink":"https://example.com#L224-L225","name":"Lake.Package.release","line":224,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.release","doc":"A package's cloud build release. "},"Lake.Package.relPkgsDir":{"sourceLink":"https://example.com#L255-L256","name":"Lake.Package.relPkgsDir","line":255,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.relPkgsDir","doc":"The path for storing the package's remote dependencies relative to `dir`.\nEither its `packagesDir` configuration or `defaultPackagesDir`.\n"},"Lake.Package.recComputeDeps":{"sourceLink":"https://example.com#L18-L29","name":"Lake.Package.recComputeDeps","line":18,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recComputeDeps","doc":"Compute a topological ordering of the package's transitive dependencies. "},"Lake.Package.recBuildExtraDepTargets":{"sourceLink":"https://example.com#L39-L50","name":"Lake.Package.recBuildExtraDepTargets","line":39,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recBuildExtraDepTargets","doc":"Build the `extraDepTargets` for the package and its transitive dependencies.\nAlso fetch pre-built releases for the package's' dependencies.\n"},"Lake.Package.preferReleaseBuild":{"sourceLink":"https://example.com#L300-L301","name":"Lake.Package.preferReleaseBuild","line":300,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.preferReleaseBuild","doc":"The package's `preferReleaseBuild` configuration. "},"Lake.Package.precompileModules":{"sourceLink":"https://example.com#L304-L305","name":"Lake.Package.precompileModules","line":304,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.precompileModules","doc":"The package's `precompileModules` configuration. "},"Lake.Package.pkgsDir":{"sourceLink":"https://example.com#L259-L260","name":"Lake.Package.pkgsDir","line":259,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.pkgsDir","doc":"The package's `dir` joined with its `relPkgsDir` "},"Lake.Package.opaqueTargetConfigs":{"sourceLink":"https://example.com#L200-L200","name":"Lake.Package.opaqueTargetConfigs","line":200,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueTargetConfigs","doc":"(Opaque references to) targets defined in the package. "},"Lake.Package.opaqueDeps":{"sourceLink":"https://example.com#L192-L192","name":"Lake.Package.opaqueDeps","line":192,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueDeps","doc":"(Opaque references to) the package's direct dependencies. "},"Lake.Package.nativeLibDir":{"sourceLink":"https://example.com#L344-L345","name":"Lake.Package.nativeLibDir","line":344,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.nativeLibDir","doc":"The package's `buildDir` joined with its `nativeLibDir` configuration. "},"Lake.Package.name":{"sourceLink":"https://example.com#L230-L231","name":"Lake.Package.name","line":230,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.name","doc":"The package's name. "},"Lake.Package.moreServerArgs":{"sourceLink":"https://example.com#L308-L309","name":"Lake.Package.moreServerArgs","line":308,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreServerArgs","doc":"The package's `moreServerArgs` configuration. "},"Lake.Package.moreLinkArgs":{"sourceLink":"https://example.com#L328-L329","name":"Lake.Package.moreLinkArgs","line":328,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLinkArgs","doc":"The package's `moreLinkArgs` configuration. "},"Lake.Package.moreLeancArgs":{"sourceLink":"https://example.com#L324-L325","name":"Lake.Package.moreLeancArgs","line":324,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeancArgs","doc":"The package's `moreLeancArgs` configuration. "},"Lake.Package.moreLeanArgs":{"sourceLink":"https://example.com#L316-L317","name":"Lake.Package.moreLeanArgs","line":316,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeanArgs","doc":"The package's `moreLeanArgs` configuration. "},"Lake.Package.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Package.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.Package.mk","doc":""},"Lake.Package.manifestFile":{"sourceLink":"https://example.com#L263-L264","name":"Lake.Package.manifestFile","line":263,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.manifestFile","doc":"The package's JSON manifest of remote dependencies. "},"Lake.Package.leanOpts":{"sourceLink":"https://example.com#L186-L186","name":"Lake.Package.leanOpts","line":186,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanOpts","doc":"The Lean `Options` the package configuration was elaborated with. "},"Lake.Package.leanLibs":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanLibs","line":19,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.leanLibs","doc":"The Lean libraries of the package (as an Array). "},"Lake.Package.leanLibDir":{"sourceLink":"https://example.com#L340-L341","name":"Lake.Package.leanLibDir","line":340,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibDir","doc":"The package's `buildDir` joined with its `leanLibDir` configuration. "},"Lake.Package.leanLibConfigs":{"sourceLink":"https://example.com#L194-L194","name":"Lake.Package.leanLibConfigs","line":194,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibConfigs","doc":"Lean library configurations for the package. "},"Lake.Package.leanExes":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanExes","line":19,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.leanExes","doc":"The Lean executables of the package (as an Array). "},"Lake.Package.leanExeConfigs":{"sourceLink":"https://example.com#L196-L196","name":"Lake.Package.leanExeConfigs","line":196,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanExeConfigs","doc":"Lean binary executable configurations for the package. "},"Lake.Package.isLocalModule":{"sourceLink":"https://example.com#L356-L357","name":"Lake.Package.isLocalModule","line":356,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isLocalModule","doc":"Whether the given module is considered local to the package. "},"Lake.Package.isBuildableModule":{"sourceLink":"https://example.com#L360-L362","name":"Lake.Package.isBuildableModule","line":360,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isBuildableModule","doc":"Whether the given module is in the package (i.e., can build it). "},"Lake.Package.irDir":{"sourceLink":"https://example.com#L352-L353","name":"Lake.Package.irDir","line":352,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.irDir","doc":"The package's `buildDir` joined with its `irDir` configuration. "},"Lake.Package.gitTag?":{"sourceLink":"https://example.com#L190-L190","name":"Lake.Package.gitTag?","line":190,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.gitTag?","doc":"The Git tag of this package. "},"Lake.Package.findTargetConfig?":{"sourceLink":"https://example.com#L35-L36","name":"Lake.Package.findTargetConfig?","line":35,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.Package.findTargetConfig?","doc":"Try to find a target configuration in the package with the given name . "},"Lake.Package.findModule?":{"sourceLink":"https://example.com#L85-L87","name":"Lake.Package.findModule?","line":85,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findModule?","doc":"Locate the named module in the package (if it is buildable and local to it). "},"Lake.Package.findLeanLib?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanLib?","line":23,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.findLeanLib?","doc":"Try to find a Lean library in the package with the given name. "},"Lake.Package.findLeanExe?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanExe?","line":23,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findLeanExe?","doc":"Try to find a Lean executable in the package with the given name. "},"Lake.Package.findExternLib?":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Package.findExternLib?","line":24,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.findExternLib?","doc":"Try to find a external library in the package with the given name. "},"Lake.Package.fetchTargetJob":{"sourceLink":"https://example.com#L17-L21","name":"Lake.Package.fetchTargetJob","line":17,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchTargetJob","doc":"Fetch the build job of the specified package target. "},"Lake.Package.fetchRelease":{"sourceLink":"https://example.com#L57-L70","name":"Lake.Package.fetchRelease","line":57,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.fetchRelease","doc":"Download and unpack the package's prebuilt release archive (from GitHub). "},"Lake.Package.fetchFacetJob":{"sourceLink":"https://example.com#L49-L53","name":"Lake.Package.fetchFacetJob","line":49,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.Package.facetBuildKey":{"sourceLink":"https://example.com#L41-L42","name":"Lake.Package.facetBuildKey","line":41,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facetBuildKey","doc":""},"Lake.Package.facet":{"sourceLink":"https://example.com#L220-L221","name":"Lake.Package.facet","line":220,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facet","doc":"Build info for the package's specified facet. "},"Lake.Package.extraDepTargets":{"sourceLink":"https://example.com#L271-L272","name":"Lake.Package.extraDepTargets","line":271,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.extraDepTargets","doc":"The package's `extraDepTargets` configuration. "},"Lake.Package.extraDepFacetConfig":{"sourceLink":"https://example.com#L53-L54","name":"Lake.Package.extraDepFacetConfig","line":53,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.extraDepFacetConfig","doc":"The `PackageFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Package.extraDepFacet":{"sourceLink":"https://example.com#L95-L95","name":"Lake.Package.extraDepFacet","line":95,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.extraDepFacet","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.extraDep":{"sourceLink":"https://example.com#L228-L229","name":"Lake.Package.extraDep","line":228,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.extraDep","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.externLibs":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Package.externLibs","line":20,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.externLibs","doc":"The external libraries of the package (as an Array). "},"Lake.Package.externLibConfigs":{"sourceLink":"https://example.com#L198-L198","name":"Lake.Package.externLibConfigs","line":198,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.externLibConfigs","doc":"External library targets for the package. "},"Lake.Package.dir":{"sourceLink":"https://example.com#L180-L180","name":"Lake.Package.dir","line":180,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.dir","doc":"The path to the package's directory. "},"Lake.Package.depsFacetConfig":{"sourceLink":"https://example.com#L32-L33","name":"Lake.Package.depsFacetConfig","line":32,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.depsFacetConfig","doc":"The `PackageFacetConfig` for the builtin `depsFacet`. "},"Lake.Package.depsFacet":{"sourceLink":"https://example.com#L167-L167","name":"Lake.Package.depsFacet","line":167,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.depsFacet","doc":"The package's complete array of transitive dependencies. "},"Lake.Package.deps":{"sourceLink":"https://example.com#L248-L249","name":"Lake.Package.deps","line":248,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.deps","doc":"The package's direct dependencies. "},"Lake.Package.defaultTargets":{"sourceLink":"https://example.com#L205-L205","name":"Lake.Package.defaultTargets","line":205,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultTargets","doc":"The names of the package's targets to build by default\n(i.e., on a bare `lake build` of the package).\n"},"Lake.Package.defaultScripts":{"sourceLink":"https://example.com#L212-L212","name":"Lake.Package.defaultScripts","line":212,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultScripts","doc":"The names of the package's scripts run by default\n(i.e., on a bare `lake run` of the package).\n"},"Lake.Package.configEnv":{"sourceLink":"https://example.com#L184-L184","name":"Lake.Package.configEnv","line":184,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.configEnv","doc":"The elaboration environment of the package's configuration file. "},"Lake.Package.config":{"sourceLink":"https://example.com#L182-L182","name":"Lake.Package.config","line":182,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.config","doc":"The package's user-defined configuration. "},"Lake.Package.clean":{"sourceLink":"https://example.com#L365-L367","name":"Lake.Package.clean","line":365,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.clean","doc":"Remove the package's build outputs (i.e., delete its build directory). "},"Lake.Package.buildType":{"sourceLink":"https://example.com#L312-L313","name":"Lake.Package.buildType","line":312,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildType","doc":"The package's `buildType` configuration. "},"Lake.Package.buildDir":{"sourceLink":"https://example.com#L267-L268","name":"Lake.Package.buildDir","line":267,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildDir","doc":"The package's `dir` joined with its `buildDir` configuration. "},"Lake.Package.buildArchiveFile":{"sourceLink":"https://example.com#L296-L297","name":"Lake.Package.buildArchiveFile","line":296,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchiveFile","doc":"The package's `buildDir` joined with its `buildArchive` configuration. "},"Lake.Package.buildArchive?":{"sourceLink":"https://example.com#L288-L289","name":"Lake.Package.buildArchive?","line":288,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive?","doc":"The package's `buildArchive?` configuration. "},"Lake.Package.buildArchive":{"sourceLink":"https://example.com#L292-L293","name":"Lake.Package.buildArchive","line":292,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive","doc":"The file name of the package's build archive derived from `buildArchive?`. "},"Lake.Package.binDir":{"sourceLink":"https://example.com#L348-L349","name":"Lake.Package.binDir","line":348,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.binDir","doc":"The package's `buildDir` joined with its `binDir` configuration. "},"Lake.Package":{"sourceLink":"https://example.com#L178-L212","name":"Lake.Package","line":178,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.Package","doc":"A Lake package -- its location plus its configuration. "},"Lake.OrderedTagAttribute.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.OrderedTagAttribute.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.mk","doc":""},"Lake.OrderedTagAttribute.hasTag":{"sourceLink":"https://example.com#L42-L45","name":"Lake.OrderedTagAttribute.hasTag","line":42,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.hasTag","doc":""},"Lake.OrderedTagAttribute.ext":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrderedTagAttribute.ext","line":13,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.ext","doc":""},"Lake.OrderedTagAttribute.attr":{"sourceLink":"https://example.com#L12-L12","name":"Lake.OrderedTagAttribute.attr","line":12,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.attr","doc":""},"Lake.OrderedTagAttribute":{"sourceLink":"https://example.com#L11-L14","name":"Lake.OrderedTagAttribute","line":11,"kind":"structure","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute","doc":""},"Lake.OrdPackageSet.empty":{"sourceLink":"https://example.com#L227-L227","name":"Lake.OrdPackageSet.empty","line":227,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet.empty","doc":""},"Lake.OrdPackageSet":{"sourceLink":"https://example.com#L226-L226","name":"Lake.OrdPackageSet","line":226,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet","doc":""},"Lake.OrdModuleSet.empty":{"sourceLink":"https://example.com#L30-L30","name":"Lake.OrdModuleSet.empty","line":30,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet.empty","doc":""},"Lake.OrdModuleSet":{"sourceLink":"https://example.com#L29-L29","name":"Lake.OrdModuleSet","line":29,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet","doc":""},"Lake.OrdHashSet.toHashSet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OrdHashSet.toHashSet","line":14,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toHashSet","doc":""},"Lake.OrdHashSet.toArray":{"sourceLink":"https://example.com#L15-L15","name":"Lake.OrdHashSet.toArray","line":15,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toArray","doc":""},"Lake.OrdHashSet.ofArray":{"sourceLink":"https://example.com#L43-L44","name":"Lake.OrdHashSet.ofArray","line":43,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.ofArray","doc":""},"Lake.OrdHashSet.mkEmpty":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OrdHashSet.mkEmpty","line":24,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mkEmpty","doc":""},"Lake.OrdHashSet.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrdHashSet.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mk","doc":""},"Lake.OrdHashSet.instHAppendOrdHashSetArray":{"sourceLink":"https://example.com#L36-L36","name":"Lake.OrdHashSet.instHAppendOrdHashSetArray","line":36,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instHAppendOrdHashSetArray","doc":""},"Lake.OrdHashSet.instAppendOrdHashSet":{"sourceLink":"https://example.com#L41-L41","name":"Lake.OrdHashSet.instAppendOrdHashSet","line":41,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instAppendOrdHashSet","doc":""},"Lake.OrdHashSet.insert":{"sourceLink":"https://example.com#L27-L31","name":"Lake.OrdHashSet.insert","line":27,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.insert","doc":""},"Lake.OrdHashSet.foldrM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.OrdHashSet.foldrM","line":55,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldrM","doc":""},"Lake.OrdHashSet.foldr":{"sourceLink":"https://example.com#L52-L53","name":"Lake.OrdHashSet.foldr","line":52,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldr","doc":""},"Lake.OrdHashSet.foldlM":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OrdHashSet.foldlM","line":49,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldlM","doc":""},"Lake.OrdHashSet.foldl":{"sourceLink":"https://example.com#L46-L47","name":"Lake.OrdHashSet.foldl","line":46,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldl","doc":""},"Lake.OrdHashSet.empty":{"sourceLink":"https://example.com#L21-L22","name":"Lake.OrdHashSet.empty","line":21,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.empty","doc":""},"Lake.OrdHashSet.appendArray":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OrdHashSet.appendArray","line":33,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.appendArray","doc":""},"Lake.OrdHashSet.append":{"sourceLink":"https://example.com#L38-L39","name":"Lake.OrdHashSet.append","line":38,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.append","doc":""},"Lake.OrdHashSet":{"sourceLink":"https://example.com#L13-L15","name":"Lake.OrdHashSet","line":13,"kind":"structure","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet","doc":"A `HashSet` that preserves insertion order. "},"Lake.OptionTask":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OptionTask","line":14,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionTask","doc":""},"Lake.OptionIOTask":{"sourceLink":"https://example.com#L20-L20","name":"Lake.OptionIOTask","line":20,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionIOTask","doc":""},"Lake.OptionIO.toIO":{"sourceLink":"https://example.com#L27-L28","name":"Lake.OptionIO.toIO","line":27,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toIO","doc":""},"Lake.OptionIO.toEIO":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OptionIO.toEIO","line":24,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toEIO","doc":""},"Lake.OptionIO.toBaseIO":{"sourceLink":"https://example.com#L19-L22","name":"Lake.OptionIO.toBaseIO","line":19,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toBaseIO","doc":""},"Lake.OptionIO.orElse":{"sourceLink":"https://example.com#L36-L37","name":"Lake.OptionIO.orElse","line":36,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.orElse","doc":""},"Lake.OptionIO.mk":{"sourceLink":"https://example.com#L16-L17","name":"Lake.OptionIO.mk","line":16,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.mk","doc":""},"Lake.OptionIO.instAlternativeOptionIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.OptionIO.instAlternativeOptionIO","line":39,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.instAlternativeOptionIO","doc":""},"Lake.OptionIO.failure":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OptionIO.failure","line":33,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.failure","doc":""},"Lake.OptionIO.catchFailure":{"sourceLink":"https://example.com#L30-L31","name":"Lake.OptionIO.catchFailure","line":30,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.catchFailure","doc":""},"Lake.OptionIO.asTask":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OptionIO.asTask","line":49,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.asTask","doc":""},"Lake.OptionIO.OptionIO.finally":{"sourceLink":"https://example.com#L43-L47","name":"Lake.OptionIO.OptionIO.finally","line":43,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.OptionIO.finally","doc":""},"Lake.OptionIO":{"sourceLink":"https://example.com#L9-L9","name":"Lake.OptionIO","line":9,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO","doc":"Conceptually identical to `OptionT BaseIO`, but practically more efficient. "},"Lake.Option.compareWith":{"sourceLink":"https://example.com#L92-L96","name":"Lake.Option.compareWith","line":92,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Option.compareWith","doc":""},"Lake.OpaqueWorkspace.unsafeMk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeMk","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeMk","doc":""},"Lake.OpaqueWorkspace.unsafeGet":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeGet","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeGet","doc":""},"Lake.OpaqueWorkspace.nonemptyType":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace.nonemptyType","line":14,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace.nonemptyType","doc":""},"Lake.OpaqueWorkspace.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.mk","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.mk","doc":""},"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","doc":""},"Lake.OpaqueWorkspace.get_mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get_mk","line":35,"kind":"axiom","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get_mk","doc":""},"Lake.OpaqueWorkspace.get":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get","doc":""},"Lake.OpaqueWorkspace":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace","line":14,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace","doc":"Opaque reference to a `Workspace` used for forward declaration. "},"Lake.OpaqueTargetConfig.unsafeMk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeMk","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeMk","doc":""},"Lake.OpaqueTargetConfig.unsafeGet":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeGet","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeGet","doc":""},"Lake.OpaqueTargetConfig.nonemptyType":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig.nonemptyType","line":17,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig.nonemptyType","doc":""},"Lake.OpaqueTargetConfig.mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.mk","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.mk","doc":""},"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","doc":""},"Lake.OpaqueTargetConfig.get_mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get_mk","line":32,"kind":"axiom","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get_mk","doc":""},"Lake.OpaqueTargetConfig.get":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get","doc":""},"Lake.OpaqueTargetConfig":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig","line":17,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig","doc":"Opaque reference to a `TargetConfig` used for forward declaration. "},"Lake.OpaquePackage.unsafeMk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeMk","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeMk","doc":""},"Lake.OpaquePackage.unsafeGet":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeGet","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeGet","doc":""},"Lake.OpaquePackage.nonemptyType":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage.nonemptyType","line":11,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage.nonemptyType","doc":""},"Lake.OpaquePackage.mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.mk","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.mk","doc":""},"Lake.OpaquePackage.instInhabitedOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instInhabitedOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instInhabitedOpaquePackage","doc":""},"Lake.OpaquePackage.instCoePackageOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoePackageOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoePackageOpaquePackage","doc":""},"Lake.OpaquePackage.instCoeOpaquePackagePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoeOpaquePackagePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoeOpaquePackagePackage","doc":""},"Lake.OpaquePackage.get_mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get_mk","line":218,"kind":"axiom","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get_mk","doc":""},"Lake.OpaquePackage.get":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get","doc":""},"Lake.OpaquePackage":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage","line":11,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage","doc":"Opaque reference to a `Package` used for forward declaration. "},"Lake.NilTrace.nilTrace":{"sourceLink":"https://example.com#L36-L36","name":"Lake.NilTrace.nilTrace","line":36,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.nilTrace","doc":"The nil trace. Should not unduly clash with a proper trace. "},"Lake.NilTrace.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.NilTrace.mk","line":34,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.mk","doc":""},"Lake.NilTrace":{"sourceLink":"https://example.com#L34-L36","name":"Lake.NilTrace","line":34,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.NilTrace","doc":""},"Lake.NamedConfigDecl.name":{"sourceLink":"https://example.com#L49-L49","name":"Lake.NamedConfigDecl.name","line":49,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.name","doc":""},"Lake.NamedConfigDecl.mk":{"sourceLink":"https://example.com#L48-L48","name":"Lake.NamedConfigDecl.mk","line":48,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.mk","doc":""},"Lake.NamedConfigDecl.config":{"sourceLink":"https://example.com#L50-L50","name":"Lake.NamedConfigDecl.config","line":50,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.config","doc":""},"Lake.NamedConfigDecl":{"sourceLink":"https://example.com#L48-L50","name":"Lake.NamedConfigDecl","line":48,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl","doc":"A dependently typed configuration based on its registered name. "},"Lake.NamedArgument":{"sourceLink":"https://example.com#L14-L14","name":"Lake.NamedArgument","line":14,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.NamedArgument","doc":""},"Lake.NameMap.empty":{"sourceLink":"https://example.com#L15-L15","name":"Lake.NameMap.empty","line":15,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.NameMap.empty","doc":""},"Lake.Name.quoteFrom":{"sourceLink":"https://example.com#L69-L72","name":"Lake.Name.quoteFrom","line":69,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.Name.quoteFrom","doc":""},"Lake.Name.quickCmp_rfl":{"sourceLink":"https://example.com#L59-L61","name":"Lake.Name.quickCmp_rfl","line":59,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmp_rfl","doc":""},"Lake.Name.quickCmpAux_iff_eq":{"sourceLink":"https://example.com#L37-L47","name":"Lake.Name.quickCmpAux_iff_eq","line":37,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmpAux_iff_eq","doc":""},"Lake.Name.isPrefixOf_self":{"sourceLink":"https://example.com#L28-L29","name":"Lake.Name.isPrefixOf_self","line":28,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_self","doc":""},"Lake.Name.isPrefixOf_append":{"sourceLink":"https://example.com#L31-L35","name":"Lake.Name.isPrefixOf_append","line":31,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_append","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmpAux":{"sourceLink":"https://example.com#L49-L51","name":"Lake.Name.instLawfulCmpEqNameQuickCmpAux","line":49,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmpAux","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmp":{"sourceLink":"https://example.com#L63-L65","name":"Lake.Name.instLawfulCmpEqNameQuickCmp","line":63,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmp","doc":""},"Lake.Name.eq_of_quickCmp":{"sourceLink":"https://example.com#L53-L57","name":"Lake.Name.eq_of_quickCmp","line":53,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.eq_of_quickCmp","doc":""},"Lake.Name.beq_false":{"sourceLink":"https://example.com#L25-L26","name":"Lake.Name.beq_false","line":25,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.beq_false","doc":""},"Lake.NPackage.name_eq":{"sourceLink":"https://example.com#L235-L235","name":"Lake.NPackage.name_eq","line":235,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name_eq","doc":""},"Lake.NPackage.name":{"sourceLink":"https://example.com#L243-L243","name":"Lake.NPackage.name","line":243,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name","doc":"The package's name. "},"Lake.NPackage.mk":{"sourceLink":"https://example.com#L234-L234","name":"Lake.NPackage.mk","line":234,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.NPackage.mk","doc":""},"Lake.NPackage":{"sourceLink":"https://example.com#L234-L235","name":"Lake.NPackage","line":234,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.NPackage","doc":"A package with a name known at type-level. "},"Lake.MonadWorkspace":{"sourceLink":"https://example.com#L23-L24","name":"Lake.MonadWorkspace","line":23,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadWorkspace","doc":"A monad equipped with a (read-only) Lake `Workspace`. "},"Lake.MonadStore1.store":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadStore1.store","line":11,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.store","doc":""},"Lake.MonadStore1.mk":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadStore1.mk","line":9,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.mk","doc":""},"Lake.MonadStore1.fetch?":{"sourceLink":"https://example.com#L10-L10","name":"Lake.MonadStore1.fetch?","line":10,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.fetch?","doc":""},"Lake.MonadStore1":{"sourceLink":"https://example.com#L9-L11","name":"Lake.MonadStore1","line":9,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadStore1","doc":"A monad equipped with a dependently typed key-value store for a particular key. "},"Lake.MonadStore":{"sourceLink":"https://example.com#L25-L25","name":"Lake.MonadStore","line":25,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore","doc":"A monad equipped with a key-object store. "},"Lake.MonadLogT.ignoreLog":{"sourceLink":"https://example.com#L99-L100","name":"Lake.MonadLogT.ignoreLog","line":99,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.ignoreLog","doc":""},"Lake.MonadLogT.adaptMethods":{"sourceLink":"https://example.com#L95-L97","name":"Lake.MonadLogT.adaptMethods","line":95,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.adaptMethods","doc":""},"Lake.MonadLogT":{"sourceLink":"https://example.com#L85-L86","name":"Lake.MonadLogT","line":85,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT","doc":""},"Lake.MonadLog.nop":{"sourceLink":"https://example.com#L52-L53","name":"Lake.MonadLog.nop","line":52,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.nop","doc":""},"Lake.MonadLog.mk":{"sourceLink":"https://example.com#L26-L26","name":"Lake.MonadLog.mk","line":26,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.MonadLog.mk","doc":""},"Lake.MonadLog.log":{"sourceLink":"https://example.com#L28-L28","name":"Lake.MonadLog.log","line":28,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.log","doc":""},"Lake.MonadLog.lift":{"sourceLink":"https://example.com#L71-L73","name":"Lake.MonadLog.lift","line":71,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.lift","doc":""},"Lake.MonadLog.io":{"sourceLink":"https://example.com#L57-L62","name":"Lake.MonadLog.io","line":57,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.io","doc":""},"Lake.MonadLog.instMonadLog":{"sourceLink":"https://example.com#L75-L75","name":"Lake.MonadLog.instMonadLog","line":75,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instMonadLog","doc":""},"Lake.MonadLog.instInhabitedMonadLog":{"sourceLink":"https://example.com#L55-L55","name":"Lake.MonadLog.instInhabitedMonadLog","line":55,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instInhabitedMonadLog","doc":""},"Lake.MonadLog.getVerbosity":{"sourceLink":"https://example.com#L27-L27","name":"Lake.MonadLog.getVerbosity","line":27,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.getVerbosity","doc":""},"Lake.MonadLog.error":{"sourceLink":"https://example.com#L78-L79","name":"Lake.MonadLog.error","line":78,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.error","doc":"Log the given error message and then fail. "},"Lake.MonadLog.eio":{"sourceLink":"https://example.com#L64-L69","name":"Lake.MonadLog.eio","line":64,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.eio","doc":""},"Lake.MonadLog":{"sourceLink":"https://example.com#L26-L28","name":"Lake.MonadLog","line":26,"kind":"class","docLink":"./Lake/Util/Log.html#Lake.MonadLog","doc":""},"Lake.MonadLakeEnv":{"sourceLink":"https://example.com#L19-L20","name":"Lake.MonadLakeEnv","line":19,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLakeEnv","doc":"A monad equipped with a (read-only) detected environment for Lake. "},"Lake.MonadLake":{"sourceLink":"https://example.com#L27-L28","name":"Lake.MonadLake","line":27,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLake","doc":"A monad equipped with a (read-only) Lake context. "},"Lake.MonadExit.mk":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadExit.mk","line":11,"kind":"ctor","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.mk","doc":""},"Lake.MonadExit.exit":{"sourceLink":"https://example.com#L12-L12","name":"Lake.MonadExit.exit","line":12,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.exit","doc":""},"Lake.MonadExit":{"sourceLink":"https://example.com#L11-L12","name":"Lake.MonadExit","line":11,"kind":"class","docLink":"./Lake/Util/Exit.html#Lake.MonadExit","doc":""},"Lake.MonadError.runIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.MonadError.runIO","line":39,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runIO","doc":"Perform an IO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.runEIO":{"sourceLink":"https://example.com#L29-L33","name":"Lake.MonadError.runEIO","line":29,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runEIO","doc":"Perform an EIO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.mk":{"sourceLink":"https://example.com#L8-L8","name":"Lake.MonadError.mk","line":8,"kind":"ctor","docLink":"./Lake/Util/Error.html#Lake.MonadError.mk","doc":""},"Lake.MonadError.error":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadError.error","line":9,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.error","doc":""},"Lake.MonadError":{"sourceLink":"https://example.com#L8-L9","name":"Lake.MonadError","line":8,"kind":"class","docLink":"./Lake/Util/Error.html#Lake.MonadError","doc":""},"Lake.MonadDStore.store":{"sourceLink":"https://example.com#L18-L18","name":"Lake.MonadDStore.store","line":18,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.store","doc":""},"Lake.MonadDStore.mk":{"sourceLink":"https://example.com#L16-L16","name":"Lake.MonadDStore.mk","line":16,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.mk","doc":""},"Lake.MonadDStore.fetch?":{"sourceLink":"https://example.com#L17-L17","name":"Lake.MonadDStore.fetch?","line":17,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.fetch?","doc":""},"Lake.MonadDStore":{"sourceLink":"https://example.com#L16-L18","name":"Lake.MonadDStore","line":16,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadDStore","doc":"A monad equipped with a dependently typed key-object store. "},"Lake.MonadBuildStore":{"sourceLink":"https://example.com#L20-L20","name":"Lake.MonadBuildStore","line":20,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.MonadBuildStore","doc":"A monad equipped with a Lake build store. "},"Lake.ModuleSet.empty":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ModuleSet.empty","line":27,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet.empty","doc":""},"Lake.ModuleSet":{"sourceLink":"https://example.com#L26-L26","name":"Lake.ModuleSet","line":26,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet","doc":""},"Lake.ModuleMap.empty":{"sourceLink":"https://example.com#L33-L33","name":"Lake.ModuleMap.empty","line":33,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap.empty","doc":""},"Lake.ModuleMap":{"sourceLink":"https://example.com#L32-L32","name":"Lake.ModuleMap","line":32,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap","doc":""},"Lake.ModuleFacetDecl.fetch":{"sourceLink":"https://example.com#L58-L60","name":"Lake.ModuleFacetDecl.fetch","line":58,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetDecl.fetch","doc":"Fetch the build result of a module facet. "},"Lake.ModuleFacetDecl":{"sourceLink":"https://example.com#L56-L56","name":"Lake.ModuleFacetDecl","line":56,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetDecl","doc":"A module facet declaration from a configuration file. "},"Lake.ModuleFacetConfig.fetchJob":{"sourceLink":"https://example.com#L63-L67","name":"Lake.ModuleFacetConfig.fetchJob","line":63,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetConfig.fetchJob","doc":"Fetch the build job of a module facet. "},"Lake.ModuleFacetConfig":{"sourceLink":"https://example.com#L53-L53","name":"Lake.ModuleFacetConfig","line":53,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetConfig","doc":"A module facet's declarative configuration. "},"Lake.ModuleFacet.name":{"sourceLink":"https://example.com#L37-L37","name":"Lake.ModuleFacet.name","line":37,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.name","doc":"The name of the module facet. "},"Lake.ModuleFacet.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.ModuleFacet.mk","line":35,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.mk","doc":""},"Lake.ModuleFacet.data_eq":{"sourceLink":"https://example.com#L39-L39","name":"Lake.ModuleFacet.data_eq","line":39,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.data_eq","doc":"Proof that module's facet build result is of type α. "},"Lake.ModuleFacet":{"sourceLink":"https://example.com#L35-L40","name":"Lake.ModuleFacet","line":35,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet","doc":"A module facet name along with proof of its data type. "},"Lake.ModuleData.olean":{"sourceLink":"https://example.com#L74-L74","name":"Lake.ModuleData.olean","line":74,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.olean","doc":""},"Lake.ModuleData.o":{"sourceLink":"https://example.com#L86-L86","name":"Lake.ModuleData.o","line":86,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.o","doc":""},"Lake.ModuleData.lean.transImports":{"sourceLink":"https://example.com#L152-L152","name":"Lake.ModuleData.lean.transImports","line":152,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.transImports","doc":""},"Lake.ModuleData.lean.precompileImports":{"sourceLink":"https://example.com#L156-L156","name":"Lake.ModuleData.lean.precompileImports","line":156,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.precompileImports","doc":""},"Lake.ModuleData.lean.imports":{"sourceLink":"https://example.com#L148-L148","name":"Lake.ModuleData.lean.imports","line":148,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.imports","doc":""},"Lake.ModuleData.importBin":{"sourceLink":"https://example.com#L70-L70","name":"Lake.ModuleData.importBin","line":70,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.importBin","doc":""},"Lake.ModuleData.ilean":{"sourceLink":"https://example.com#L78-L78","name":"Lake.ModuleData.ilean","line":78,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.ilean","doc":""},"Lake.ModuleData.dynlib":{"sourceLink":"https://example.com#L160-L160","name":"Lake.ModuleData.dynlib","line":160,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.dynlib","doc":""},"Lake.ModuleData.deps":{"sourceLink":"https://example.com#L54-L54","name":"Lake.ModuleData.deps","line":54,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.deps","doc":""},"Lake.ModuleData.c":{"sourceLink":"https://example.com#L82-L82","name":"Lake.ModuleData.c","line":82,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.c","doc":""},"Lake.ModuleData.bin":{"sourceLink":"https://example.com#L62-L62","name":"Lake.ModuleData.bin","line":62,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.bin","doc":""},"Lake.ModuleData":{"sourceLink":"https://example.com#L24-L24","name":"Lake.ModuleData","line":24,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.ModuleData","doc":"The open type family which maps a module facet's name to its build data\nin the Lake build store. For example, a transitive × direct import pair\nfor the `lean.imports` facet or an active build target for `lean.c`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `module_data`).\n"},"Lake.Module.weakLeanArgs":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Module.weakLeanArgs","line":104,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.weakLeanArgs","doc":""},"Lake.Module.transImportsFacetConfig":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Module.transImportsFacetConfig","line":96,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.transImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `transImportsFacet`. "},"Lake.Module.transImportsFacet":{"sourceLink":"https://example.com#L151-L151","name":"Lake.Module.transImportsFacet","line":151,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.transImports":{"sourceLink":"https://example.com#L187-L188","name":"Lake.Module.transImports","line":187,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.traceFile":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Module.traceFile","line":76,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.traceFile","doc":""},"Lake.Module.srcPath":{"sourceLink":"https://example.com#L61-L62","name":"Lake.Module.srcPath","line":61,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.srcPath","doc":""},"Lake.Module.shouldPrecompile":{"sourceLink":"https://example.com#L113-L114","name":"Lake.Module.shouldPrecompile","line":113,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.shouldPrecompile","doc":""},"Lake.Module.rootDir":{"sourceLink":"https://example.com#L55-L56","name":"Lake.Module.rootDir","line":55,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.rootDir","doc":""},"Lake.Module.recParseImports":{"sourceLink":"https://example.com#L79-L84","name":"Lake.Module.recParseImports","line":79,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recParseImports","doc":"Recursively parse the Lean files of a module and its imports\nbuilding an `Array` product of its direct local imports.\n"},"Lake.Module.recComputeTransImports":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.recComputeTransImports","line":91,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputeTransImports","doc":"Recursively compute a module's transitive imports. "},"Lake.Module.recComputePrecompileImports":{"sourceLink":"https://example.com#L100-L105","name":"Lake.Module.recComputePrecompileImports","line":100,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputePrecompileImports","doc":"Recursively compute a module's precompiled imports. "},"Lake.Module.recBuildLeanO":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.recBuildLeanO","line":181,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanO","doc":"Recursively build the module's object file from its C file produced by `lean`. "},"Lake.Module.recBuildLeanCore":{"sourceLink":"https://example.com#L146-L149","name":"Lake.Module.recBuildLeanCore","line":146,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanCore","doc":"Recursively build a module and its dependencies. "},"Lake.Module.recBuildDynlib":{"sourceLink":"https://example.com#L190-L219","name":"Lake.Module.recBuildDynlib","line":190,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDynlib","doc":"Recursively build the shared library of a module (e.g., for `--load-dynlib`). "},"Lake.Module.recBuildDeps":{"sourceLink":"https://example.com#L112-L139","name":"Lake.Module.recBuildDeps","line":112,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDeps","doc":"Recursively build a module's transitive local imports and shared library dependencies. "},"Lake.Module.precompileImportsFacetConfig":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Module.precompileImportsFacetConfig","line":108,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.precompileImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `precompileImportsFacet`. "},"Lake.Module.precompileImportsFacet":{"sourceLink":"https://example.com#L155-L155","name":"Lake.Module.precompileImportsFacet","line":155,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.precompileImports":{"sourceLink":"https://example.com#L190-L191","name":"Lake.Module.precompileImports","line":190,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.pkg":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Module.pkg","line":52,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.pkg","doc":""},"Lake.Module.oleanFile":{"sourceLink":"https://example.com#L70-L71","name":"Lake.Module.oleanFile","line":70,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oleanFile","doc":""},"Lake.Module.oleanFacetConfig":{"sourceLink":"https://example.com#L162-L165","name":"Lake.Module.oleanFacetConfig","line":162,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oleanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oleanFacet`. "},"Lake.Module.oleanFacet":{"sourceLink":"https://example.com#L73-L73","name":"Lake.Module.oleanFacet","line":73,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oleanFacet","doc":"The `olean` file produced by `lean` "},"Lake.Module.olean":{"sourceLink":"https://example.com#L202-L203","name":"Lake.Module.olean","line":202,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.olean","doc":"The `olean` file produced by `lean` "},"Lake.Module.oFile":{"sourceLink":"https://example.com#L85-L86","name":"Lake.Module.oFile","line":85,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oFile","doc":""},"Lake.Module.oFacetConfig":{"sourceLink":"https://example.com#L185-L186","name":"Lake.Module.oFacetConfig","line":185,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oFacet`. "},"Lake.Module.oFacet":{"sourceLink":"https://example.com#L85-L85","name":"Lake.Module.oFacet","line":85,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oFacet","doc":"The object file built from `lean.c` "},"Lake.Module.o":{"sourceLink":"https://example.com#L211-L212","name":"Lake.Module.o","line":211,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.o","doc":"The object file built from `lean.c` "},"Lake.Module.nativeFacets":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Module.nativeFacets","line":116,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.nativeFacets","doc":""},"Lake.Module.name":{"sourceLink":"https://example.com#L16-L16","name":"Lake.Module.name","line":16,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.name","doc":""},"Lake.Module.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Module.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Module.html#Lake.Module.mk","doc":""},"Lake.Module.linkArgs":{"sourceLink":"https://example.com#L110-L111","name":"Lake.Module.linkArgs","line":110,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.linkArgs","doc":""},"Lake.Module.lib":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Module.lib","line":15,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.lib","doc":""},"Lake.Module.leancArgs":{"sourceLink":"https://example.com#L107-L108","name":"Lake.Module.leancArgs","line":107,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leancArgs","doc":""},"Lake.Module.leanLibPath":{"sourceLink":"https://example.com#L67-L68","name":"Lake.Module.leanLibPath","line":67,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanLibPath","doc":""},"Lake.Module.leanFile":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Module.leanFile","line":64,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanFile","doc":""},"Lake.Module.leanBinFacetConfig":{"sourceLink":"https://example.com#L152-L153","name":"Lake.Module.leanBinFacetConfig","line":152,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.leanBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `leanBinFacet`. "},"Lake.Module.leanBinFacet":{"sourceLink":"https://example.com#L61-L61","name":"Lake.Module.leanBinFacet","line":61,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.leanBinFacet","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanBin":{"sourceLink":"https://example.com#L196-L197","name":"Lake.Module.leanBin","line":196,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.leanBin","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.Module.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanArgs","doc":""},"Lake.Module.keyName":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Module.keyName","line":21,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.keyName","doc":"The name of the module as a key.\nUsed to create private modules (e.g., executable roots).\n"},"Lake.Module.irPath":{"sourceLink":"https://example.com#L79-L80","name":"Lake.Module.irPath","line":79,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.irPath","doc":""},"Lake.Module.instGetMTimeModule":{"sourceLink":"https://example.com#L124-L124","name":"Lake.Module.instGetMTimeModule","line":124,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instGetMTimeModule","doc":""},"Lake.Module.instComputeHashModuleIO":{"sourceLink":"https://example.com#L129-L129","name":"Lake.Module.instComputeHashModuleIO","line":129,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instComputeHashModuleIO","doc":""},"Lake.Module.instCheckExistsModule":{"sourceLink":"https://example.com#L134-L134","name":"Lake.Module.instCheckExistsModule","line":134,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instCheckExistsModule","doc":""},"Lake.Module.importsFacetConfig":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Module.importsFacetConfig","line":87,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importsFacet`. "},"Lake.Module.importsFacet":{"sourceLink":"https://example.com#L147-L147","name":"Lake.Module.importsFacet","line":147,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importsFacet","doc":"The direct local imports of the Lean module. "},"Lake.Module.imports":{"sourceLink":"https://example.com#L184-L185","name":"Lake.Module.imports","line":184,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.imports","doc":"The direct local imports of the Lean module. "},"Lake.Module.importBinFacetConfig":{"sourceLink":"https://example.com#L156-L159","name":"Lake.Module.importBinFacetConfig","line":156,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importBinFacet`. "},"Lake.Module.importBinFacet":{"sourceLink":"https://example.com#L69-L69","name":"Lake.Module.importBinFacet","line":69,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.importBinFacet","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.importBin":{"sourceLink":"https://example.com#L199-L200","name":"Lake.Module.importBin","line":199,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importBin","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.ileanFile":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Module.ileanFile","line":73,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.ileanFile","doc":""},"Lake.Module.ileanFacetConfig":{"sourceLink":"https://example.com#L168-L171","name":"Lake.Module.ileanFacetConfig","line":168,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.ileanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `ileanFacet`. "},"Lake.Module.ileanFacet":{"sourceLink":"https://example.com#L77-L77","name":"Lake.Module.ileanFacet","line":77,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.ileanFacet","doc":"The `ilean` file produced by `lean` "},"Lake.Module.ilean":{"sourceLink":"https://example.com#L205-L206","name":"Lake.Module.ilean","line":205,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.ilean","doc":"The `ilean` file produced by `lean` "},"Lake.Module.getMTime":{"sourceLink":"https://example.com#L121-L122","name":"Lake.Module.getMTime","line":121,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.getMTime","doc":""},"Lake.Module.filePath":{"sourceLink":"https://example.com#L58-L59","name":"Lake.Module.filePath","line":58,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.filePath","doc":""},"Lake.Module.fetchFacetJob":{"sourceLink":"https://example.com#L70-L74","name":"Lake.Module.fetchFacetJob","line":70,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Module.fetchFacetJob","doc":"Fetch the build job of a module facet. "},"Lake.Module.facetBuildKey":{"sourceLink":"https://example.com#L38-L39","name":"Lake.Module.facetBuildKey","line":38,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facetBuildKey","doc":""},"Lake.Module.facet":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.facet","line":181,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facet","doc":"Build info for the module's specified facet. "},"Lake.Module.dynlibSuffix":{"sourceLink":"https://example.com#L89-L89","name":"Lake.Module.dynlibSuffix","line":89,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibSuffix","doc":"Suffix for single module dynlibs (e.g., for precompilation). "},"Lake.Module.dynlibName":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.dynlibName","line":91,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibName","doc":""},"Lake.Module.dynlibFile":{"sourceLink":"https://example.com#L95-L96","name":"Lake.Module.dynlibFile","line":95,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibFile","doc":""},"Lake.Module.dynlibFacetConfig":{"sourceLink":"https://example.com#L222-L223","name":"Lake.Module.dynlibFacetConfig","line":222,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.dynlibFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Module.dynlibFacet":{"sourceLink":"https://example.com#L159-L159","name":"Lake.Module.dynlibFacet","line":159,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.dynlibFacet","doc":"Shared library for `--load-dynlib`. 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"},"Lake.LogT":{"sourceLink":"https://example.com#L111-L112","name":"Lake.LogT","line":111,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogT","doc":""},"Lake.LogLevel.warning":{"sourceLink":"https://example.com#L13-L13","name":"Lake.LogLevel.warning","line":13,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.warning","doc":""},"Lake.LogLevel.info":{"sourceLink":"https://example.com#L12-L12","name":"Lake.LogLevel.info","line":12,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.info","doc":""},"Lake.LogLevel.error":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LogLevel.error","line":14,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.error","doc":""},"Lake.LogLevel":{"sourceLink":"https://example.com#L11-L14","name":"Lake.LogLevel","line":11,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.LogLevel","doc":""},"Lake.LogIO.captureLog":{"sourceLink":"https://example.com#L108-L109","name":"Lake.LogIO.captureLog","line":108,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO.captureLog","doc":""},"Lake.LogIO":{"sourceLink":"https://example.com#L102-L103","name":"Lake.LogIO","line":102,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO","doc":""},"Lake.List.lt_irrefl":{"sourceLink":"https://example.com#L79-L82","name":"Lake.List.lt_irrefl","line":79,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.List.lt_irrefl","doc":""},"Lake.LibraryFacetDecl.fetch":{"sourceLink":"https://example.com#L86-L88","name":"Lake.LibraryFacetDecl.fetch","line":86,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetDecl.fetch","doc":"Fetch the build result of a library facet. "},"Lake.LibraryFacetDecl":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LibraryFacetDecl","line":68,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetDecl","doc":"A library facet declaration from a configuration file. "},"Lake.LibraryFacetConfig.fetchJob":{"sourceLink":"https://example.com#L91-L95","name":"Lake.LibraryFacetConfig.fetchJob","line":91,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetConfig.fetchJob","doc":"Fetch the build job of a library facet. "},"Lake.LibraryFacetConfig":{"sourceLink":"https://example.com#L65-L65","name":"Lake.LibraryFacetConfig","line":65,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetConfig","doc":"A library facet's declarative configuration. "},"Lake.LibraryData":{"sourceLink":"https://example.com#L54-L54","name":"Lake.LibraryData","line":54,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.LibraryData","doc":""},"Lake.LeanLibConfig.srcDir":{"sourceLink":"https://example.com#L26-L26","name":"Lake.LeanLibConfig.srcDir","line":26,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.srcDir","doc":"The subdirectory of the package's source directory containing the library's\nLean source files. 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"},"Lake.LeanLibConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLibConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.mk","doc":""},"Lake.LeanLibConfig.libName":{"sourceLink":"https://example.com#L53-L53","name":"Lake.LeanLibConfig.libName","line":53,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.libName","doc":"The name of the library.\nUsed as a base for the file names of its static and dynamic binaries.\nDefaults to the upper camel case name of the target.\n"},"Lake.LeanLibConfig.isLocalModule":{"sourceLink":"https://example.com#L85-L87","name":"Lake.LeanLibConfig.isLocalModule","line":85,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLibConfig.isBuildableModule":{"sourceLink":"https://example.com#L90-L92","name":"Lake.LeanLibConfig.isBuildableModule","line":90,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLibConfig.globs":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanLibConfig.globs","line":46,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.globs","doc":"An `Array` of module `Glob`s to build for the library.\nDefaults to a `Glob.one` of each of the library's `roots`.\n\nSubmodule globs build every source file within their directory.\nLocal imports of glob'ed files (i.e., fellow modules of the workspace) are\nalso recursively built.\n"},"Lake.LeanLibConfig.get":{"sourceLink":"https://example.com#L79-L83","name":"Lake.LeanLibConfig.get","line":79,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLibConfig.get","doc":"Get the Lean library in the workspace with the configuration's name. 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"},"Lake.LeanLib.rootDir":{"sourceLink":"https://example.com#L37-L38","name":"Lake.LeanLib.rootDir","line":37,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.rootDir","doc":"The library's root directory for `lean` (i.e., `srcDir`). 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"},"Lake.LeanLib.name":{"sourceLink":"https://example.com#L29-L30","name":"Lake.LeanLib.name","line":29,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.name","doc":"The library's well-formed name. "},"Lake.LeanLib.modulesFacetConfig":{"sourceLink":"https://example.com#L41-L42","name":"Lake.LeanLib.modulesFacetConfig","line":41,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.modulesFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `modulesFacet`. "},"Lake.LeanLib.modulesFacet":{"sourceLink":"https://example.com#L163-L163","name":"Lake.LeanLib.modulesFacet","line":163,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modulesFacet","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.modules":{"sourceLink":"https://example.com#L240-L241","name":"Lake.LeanLib.modules","line":240,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modules","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.mk","doc":""},"Lake.LeanLib.linkArgs":{"sourceLink":"https://example.com#L123-L124","name":"Lake.LeanLib.linkArgs","line":123,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the shared library.\nThat is, the package's `moreLinkArgs` plus the library's `moreLinkArgs`.\n"},"Lake.LeanLib.leancArgs":{"sourceLink":"https://example.com#L116-L117","name":"Lake.LeanLib.leancArgs","line":116,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leancArgs","doc":"The arguments to pass to `leanc` when compiling the library's C files.\nThat is, the build type's `leancArgs`, the package's `moreLeancArgs`,\nand then the library's `moreLeancArgs`.\n"},"Lake.LeanLib.leanFacetConfig":{"sourceLink":"https://example.com#L51-L52","name":"Lake.LeanLib.leanFacetConfig","line":51,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.leanFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `leanFacet`. "},"Lake.LeanLib.leanFacet":{"sourceLink":"https://example.com#L101-L101","name":"Lake.LeanLib.leanFacet","line":101,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.leanFacet","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.LeanLib.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leanArgs","doc":"The arguments to pass to `lean` when compiling the library's Lean files.\nThat is, the package's `moreLeanArgs` plus the library's `moreLeanArgs`.\n"},"Lake.LeanLib.lean":{"sourceLink":"https://example.com#L244-L245","name":"Lake.LeanLib.lean","line":244,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.lean","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.isLocalModule":{"sourceLink":"https://example.com#L48-L49","name":"Lake.LeanLib.isLocalModule","line":48,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLib.isBuildableModule":{"sourceLink":"https://example.com#L52-L53","name":"Lake.LeanLib.isBuildableModule","line":52,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLib.getModuleArray":{"sourceLink":"https://example.com#L40-L44","name":"Lake.LeanLib.getModuleArray","line":40,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.getModuleArray","doc":"Get an `Array` of the library's modules (as specified by its globs). "},"Lake.LeanLib.findModule?":{"sourceLink":"https://example.com#L36-L37","name":"Lake.LeanLib.findModule?","line":36,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.findModule?","doc":"Locate the named module in the library (if it is buildable and local to it). "},"Lake.LeanLib.fetchFacetJob":{"sourceLink":"https://example.com#L98-L102","name":"Lake.LeanLib.fetchFacetJob","line":98,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLib.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.LeanLib.facetBuildKey":{"sourceLink":"https://example.com#L47-L48","name":"Lake.LeanLib.facetBuildKey","line":47,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facetBuildKey","doc":""},"Lake.LeanLib.facet":{"sourceLink":"https://example.com#L236-L237","name":"Lake.LeanLib.facet","line":236,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facet","doc":"Build info of the Lean library's Lean binaries. "},"Lake.LeanLib.extraDepTargets":{"sourceLink":"https://example.com#L72-L73","name":"Lake.LeanLib.extraDepTargets","line":72,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.extraDepTargets","doc":"The library's `extraDepTargets` configuration. "},"Lake.LeanLib.extraDepFacetConfig":{"sourceLink":"https://example.com#L88-L89","name":"Lake.LeanLib.extraDepFacetConfig","line":88,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.extraDepFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `extraDepFacet`. "},"Lake.LeanLib.extraDepFacet":{"sourceLink":"https://example.com#L113-L113","name":"Lake.LeanLib.extraDepFacet","line":113,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.extraDepFacet","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.extraDep":{"sourceLink":"https://example.com#L256-L257","name":"Lake.LeanLib.extraDep","line":256,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.extraDep","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.defaultFacets":{"sourceLink":"https://example.com#L83-L84","name":"Lake.LeanLib.defaultFacets","line":83,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.defaultFacets","doc":"The library's `defaultFacets` configuration. "},"Lake.LeanLib.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanLib.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.config","doc":"The library's user-defined configuration. "},"Lake.LeanLib.buildType":{"sourceLink":"https://example.com#L94-L95","name":"Lake.LeanLib.buildType","line":94,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.buildType","doc":"The build type for modules of this library.\nThat is, the minimum of package's `buildType` and the library's `buildType`.\n"},"Lake.LeanLib":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanLib","line":12,"kind":"structure","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib","doc":"A Lean library -- its package plus its configuration. "},"Lake.LeanInstall.systemLibDir":{"sourceLink":"https://example.com#L43-L43","name":"Lake.LeanInstall.systemLibDir","line":43,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.systemLibDir","doc":""},"Lake.LeanInstall.sysroot":{"sourceLink":"https://example.com#L38-L38","name":"Lake.LeanInstall.sysroot","line":38,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sysroot","doc":""},"Lake.LeanInstall.srcDir":{"sourceLink":"https://example.com#L40-L40","name":"Lake.LeanInstall.srcDir","line":40,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.srcDir","doc":""},"Lake.LeanInstall.sharedLibPath":{"sourceLink":"https://example.com#L57-L61","name":"Lake.LeanInstall.sharedLibPath","line":57,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLibPath","doc":"A `SearchPath` including the Lean installation's shared library directories\n(i.e., the system library and Lean library directories).\n"},"Lake.LeanInstall.sharedLib":{"sourceLink":"https://example.com#L47-L47","name":"Lake.LeanInstall.sharedLib","line":47,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLib","doc":""},"Lake.LeanInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.mk","doc":""},"Lake.LeanInstall.leanc":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanInstall.leanc","line":46,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanc","doc":""},"Lake.LeanInstall.leanLibDir":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanInstall.leanLibDir","line":41,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanLibDir","doc":""},"Lake.LeanInstall.leanCc?":{"sourceLink":"https://example.com#L64-L65","name":"Lake.LeanInstall.leanCc?","line":64,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanCc?","doc":"The `LEAN_CC` of the Lean installation. "},"Lake.LeanInstall.lean":{"sourceLink":"https://example.com#L45-L45","name":"Lake.LeanInstall.lean","line":45,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.lean","doc":""},"Lake.LeanInstall.includeDir":{"sourceLink":"https://example.com#L42-L42","name":"Lake.LeanInstall.includeDir","line":42,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.includeDir","doc":""},"Lake.LeanInstall.githash":{"sourceLink":"https://example.com#L39-L39","name":"Lake.LeanInstall.githash","line":39,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.githash","doc":""},"Lake.LeanInstall.get.getGithash":{"sourceLink":"https://example.com#L133-L140","name":"Lake.LeanInstall.get.getGithash","line":133,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.getGithash","doc":""},"Lake.LeanInstall.get.findCc":{"sourceLink":"https://example.com#L147-L153","name":"Lake.LeanInstall.get.findCc","line":147,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findCc","doc":""},"Lake.LeanInstall.get.findAr":{"sourceLink":"https://example.com#L141-L146","name":"Lake.LeanInstall.get.findAr","line":141,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findAr","doc":""},"Lake.LeanInstall.get":{"sourceLink":"https://example.com#L124-L153","name":"Lake.LeanInstall.get","line":124,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get","doc":"Construct the `LeanInstall` object for the given Lean sysroot.\n\nDoes the following:\n1. Invokes `lean` to find out its `githash`.\n2. Finds the `ar` and `cc` to use with Lean.\n3. Computes the sub-paths of the Lean install.\n\nFor (1), if the invocation fails, `githash` is set to the empty string.\n\nFor (2), if `LEAN_AR` or `LEAN_CC` are defined, it uses those paths.\nOtherwise, if Lean is packaged with an `llvm-ar` and/or `clang`, use them.\nIf not, use the `ar` and/or `cc` in the system's `PATH`. This last step is\nneeded because internal builds of Lean do not bundle these tools\n(unlike user-facing releases).\n\nWe also track whether `LEAN_CC` was set to determine whether it should\nbe set in the future for `lake env`. This is because if `LEAN_CC` was not set,\nit needs to remain not set for `leanc` to work.\nEven setting it to the bundled compiler will break `leanc` -- see\n[leanprover/lean4#1281](https://github.com/leanprover/lean4/issues/1281).\n\nFor (3), it assumes that the Lean installation is organized the normal way.\nThat is, with its binaries located in `/bin`, its\nLean libraries in `/lib/lean`, and its system libraries in\n`/lib`.\n"},"Lake.LeanInstall.customCc":{"sourceLink":"https://example.com#L50-L50","name":"Lake.LeanInstall.customCc","line":50,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.customCc","doc":""},"Lake.LeanInstall.cc":{"sourceLink":"https://example.com#L49-L49","name":"Lake.LeanInstall.cc","line":49,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.cc","doc":""},"Lake.LeanInstall.binDir":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanInstall.binDir","line":44,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.binDir","doc":""},"Lake.LeanInstall.ar":{"sourceLink":"https://example.com#L48-L48","name":"Lake.LeanInstall.ar","line":48,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.ar","doc":""},"Lake.LeanInstall":{"sourceLink":"https://example.com#L37-L51","name":"Lake.LeanInstall","line":37,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall","doc":"Path information about the local Lean installation. "},"Lake.LeanExeConfig.toLeanLibConfig":{"sourceLink":"https://example.com#L30-L37","name":"Lake.LeanExeConfig.toLeanLibConfig","line":30,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExeConfig.toLeanLibConfig","doc":"Converts the executable configuration into a library\nwith a single module (the root).\n"},"Lake.LeanExeConfig.supportInterpreter":{"sourceLink":"https://example.com#L63-L63","name":"Lake.LeanExeConfig.supportInterpreter","line":63,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.supportInterpreter","doc":"Whether to expose symbols within the executable to the Lean interpreter.\nThis allows the executable to interpret Lean files (e.g., via\n`Lean.Elab.runFrontend`).\n\nImplementation-wise, this passes `-rdynamic` to the linker when building\non non-Windows systems.\n\nDefaults to `false`.\n"},"Lake.LeanExeConfig.srcDir":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LeanExeConfig.srcDir","line":23,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.srcDir","doc":"The subdirectory of the package's source directory containing the executable's\nLean source file. Defaults simply to said `srcDir`.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.LeanExeConfig.root":{"sourceLink":"https://example.com#L35-L35","name":"Lake.LeanExeConfig.root","line":35,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.root","doc":"The root module of the binary executable.\nShould include a `main` definition that will serve\nas the entry point of the program.\n\nThe root is built by recursively building its\nlocal imports (i.e., fellow modules of the workspace).\n\nDefaults to the name of the target.\n"},"Lake.LeanExeConfig.nativeFacets":{"sourceLink":"https://example.com#L51-L51","name":"Lake.LeanExeConfig.nativeFacets","line":51,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.nativeFacets","doc":"An `Array` of module facets to build and combine into the executable.\nDefaults to ``#[Module.oFacet]`` (i.e., the object file compiled from\nthe Lean source).\n"},"Lake.LeanExeConfig.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.LeanExeConfig.name","line":15,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.name","doc":"The name of the target. "},"Lake.LeanExeConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExeConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.mk","doc":""},"Lake.LeanExeConfig.get":{"sourceLink":"https://example.com#L107-L111","name":"Lake.LeanExeConfig.get","line":107,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.get","doc":"Get the Lean executable in the workspace with the configuration's name. "},"Lake.LeanExeConfig.fetch":{"sourceLink":"https://example.com#L114-L116","name":"Lake.LeanExeConfig.fetch","line":114,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.fetch","doc":"Fetch the build of the Lean executable. "},"Lake.LeanExeConfig.extraDepTargets":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanExeConfig.extraDepTargets","line":44,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.extraDepTargets","doc":"An `Array` of target names to build before the executable's modules. "},"Lake.LeanExeConfig.exeName":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanExeConfig.exeName","line":41,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.exeName","doc":"The name of the binary executable.\nDefaults to the target name with any `.` replaced with a `-`.\n"},"Lake.LeanExeConfig":{"sourceLink":"https://example.com#L13-L65","name":"Lake.LeanExeConfig","line":13,"kind":"structure","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig","doc":"A Lean executable's declarative configuration. "},"Lake.LeanExe.toLeanLib":{"sourceLink":"https://example.com#L46-L47","name":"Lake.LeanExe.toLeanLib","line":46,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.toLeanLib","doc":"Converts the executable into a library with a single module (the root). "},"Lake.LeanExe.root":{"sourceLink":"https://example.com#L50-L53","name":"Lake.LeanExe.root","line":50,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.root","doc":"The executable's root module. "},"Lake.LeanExe.recBuildExe":{"sourceLink":"https://example.com#L14-L23","name":"Lake.LeanExe.recBuildExe","line":14,"kind":"def","docLink":"./Lake/Build/Executable.html#Lake.LeanExe.recBuildExe","doc":""},"Lake.LeanExe.pkg":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LeanExe.pkg","line":14,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.pkg","doc":"The package the executable belongs to. "},"Lake.LeanExe.name":{"sourceLink":"https://example.com#L42-L43","name":"Lake.LeanExe.name","line":42,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.name","doc":"The executable's well-formed name. "},"Lake.LeanExe.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExe.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.mk","doc":""},"Lake.LeanExe.linkArgs":{"sourceLink":"https://example.com#L76-L80","name":"Lake.LeanExe.linkArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.linkArgs","doc":"The arguments to pass to `leanc` when linking the binary executable.\n\nThat is, `-rdynamic` (if non-Windows and `supportInterpreter`) plus the\npackage's and then the executable's `moreLinkArgs`.\n"},"Lake.LeanExe.isRoot?":{"sourceLink":"https://example.com#L56-L57","name":"Lake.LeanExe.isRoot?","line":56,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.isRoot?","doc":"Return the the root module if the name matches, otherwise return none. "},"Lake.LeanExe.fileName":{"sourceLink":"https://example.com#L63-L64","name":"Lake.LeanExe.fileName","line":63,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.fileName","doc":"The file name of binary executable\n(i.e., `exeName` plus the platform's `exeExtension`).\n"},"Lake.LeanExe.file":{"sourceLink":"https://example.com#L67-L68","name":"Lake.LeanExe.file","line":67,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.file","doc":"The path to the executable in the package's `binDir`. "},"Lake.LeanExe.fetch":{"sourceLink":"https://example.com#L107-L108","name":"Lake.LeanExe.fetch","line":107,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.fetch","doc":""},"Lake.LeanExe.exeFacet":{"sourceLink":"https://example.com#L117-L117","name":"Lake.LeanExe.exeFacet","line":117,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanExe.exeFacet","doc":"A Lean binary executable. "},"Lake.LeanExe.exe":{"sourceLink":"https://example.com#L260-L261","name":"Lake.LeanExe.exe","line":260,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.exe","doc":"Build info of the Lean executable. "},"Lake.LeanExe.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanExe.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.config","doc":"The executable's user-defined configuration. "},"Lake.LeanExe.buildKey":{"sourceLink":"https://example.com#L50-L51","name":"Lake.LeanExe.buildKey","line":50,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.buildKey","doc":""},"Lake.LeanExe.build":{"sourceLink":"https://example.com#L104-L105","name":"Lake.LeanExe.build","line":104,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.build","doc":""},"Lake.LeanExe":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanExe","line":12,"kind":"structure","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe","doc":"A Lean executable -- its package plus its configuration. "},"Lake.LeanConfig.weakLeanArgs":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LeanConfig.weakLeanArgs","line":68,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.weakLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n\nUnlike `moreLeanArgs`, these arguments do not affect the trace\nof the build result, so they can be changed without triggering a rebuild.\n"},"Lake.LeanConfig.moreLinkArgs":{"sourceLink":"https://example.com#L82-L82","name":"Lake.LeanConfig.moreLinkArgs","line":82,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLinkArgs","doc":"Additional arguments to pass to `leanc` when linking (e.g., for shared\nlibraries or binary executables). These will come *after* the paths of\nexternal libraries.\n"},"Lake.LeanConfig.moreLeancArgs":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LeanConfig.moreLeancArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeancArgs","doc":"Additional arguments to pass to `leanc`\nwhen compiling a module's C source files generated by `lean`.\n\nLake already passes some flags based on the `buildType`,\nbut you can change this by, for example, adding `-O0` and `-UNDEBUG`.\n"},"Lake.LeanConfig.moreLeanArgs":{"sourceLink":"https://example.com#L60-L60","name":"Lake.LeanConfig.moreLeanArgs","line":60,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n"},"Lake.LeanConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.mk","doc":""},"Lake.LeanConfig.buildType":{"sourceLink":"https://example.com#L55-L55","name":"Lake.LeanConfig.buildType","line":55,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.buildType","doc":"The mode in which the modules should be built (e.g., `debug`, `release`).\nDefaults to `release`.\n"},"Lake.LeanConfig":{"sourceLink":"https://example.com#L50-L83","name":"Lake.LeanConfig","line":50,"kind":"structure","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig","doc":"Configuration options common to targets that build modules. "},"Lake.LawfulCmpEq.mk":{"sourceLink":"https://example.com#L22-L22","name":"Lake.LawfulCmpEq.mk","line":22,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.mk","doc":""},"Lake.LawfulCmpEq.cmp_rfl":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LawfulCmpEq.cmp_rfl","line":23,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.cmp_rfl","doc":""},"Lake.LawfulCmpEq":{"sourceLink":"https://example.com#L22-L23","name":"Lake.LawfulCmpEq","line":22,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq","doc":"Proof that the equality of a compare function corresponds\nto propositional equality and vice versa.\n"},"Lake.LakeT.run":{"sourceLink":"https://example.com#L19-L20","name":"Lake.LakeT.run","line":19,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT.run","doc":""},"Lake.LakeT":{"sourceLink":"https://example.com#L17-L17","name":"Lake.LakeT","line":17,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT","doc":"A transformer to equip a monad with a `Lake.Context`. "},"Lake.LakeM.run":{"sourceLink":"https://example.com#L25-L26","name":"Lake.LakeM.run","line":25,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM.run","doc":""},"Lake.LakeM":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LakeM","line":23,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM","doc":"A monad equipped with a `Lake.Context`. "},"Lake.LakeInstall.srcDir":{"sourceLink":"https://example.com#L74-L74","name":"Lake.LakeInstall.srcDir","line":74,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.srcDir","doc":""},"Lake.LakeInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LakeInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.mk","doc":""},"Lake.LakeInstall.libDir":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LakeInstall.libDir","line":76,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.libDir","doc":""},"Lake.LakeInstall.lake":{"sourceLink":"https://example.com#L77-L77","name":"Lake.LakeInstall.lake","line":77,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.lake","doc":""},"Lake.LakeInstall.home":{"sourceLink":"https://example.com#L73-L73","name":"Lake.LakeInstall.home","line":73,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.home","doc":""},"Lake.LakeInstall.binDir":{"sourceLink":"https://example.com#L75-L75","name":"Lake.LakeInstall.binDir","line":75,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.binDir","doc":""},"Lake.LakeInstall":{"sourceLink":"https://example.com#L72-L78","name":"Lake.LakeInstall","line":72,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall","doc":"Path information about the local Lake installation. "},"Lake.JobM":{"sourceLink":"https://example.com#L17-L17","name":"Lake.JobM","line":17,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.JobM","doc":"The monad of Lake jobs. "},"Lake.Job.nil":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Job.nil","line":24,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.nil","doc":""},"Lake.Job.bindSync":{"sourceLink":"https://example.com#L33-L35","name":"Lake.Job.bindSync","line":33,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindSync","doc":""},"Lake.Job.bindAsync":{"sourceLink":"https://example.com#L37-L39","name":"Lake.Job.bindAsync","line":37,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindAsync","doc":""},"Lake.Job.await":{"sourceLink":"https://example.com#L30-L31","name":"Lake.Job.await","line":30,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.await","doc":""},"Lake.Job.async":{"sourceLink":"https://example.com#L27-L28","name":"Lake.Job.async","line":27,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.async","doc":""},"Lake.Job":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Job","line":14,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job","doc":"A Lake job. "},"Lake.IndexT":{"sourceLink":"https://example.com#L122-L122","name":"Lake.IndexT","line":122,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexT","doc":"A transformer to equip a monad with a build function for the Lake index. "},"Lake.IndexBuildM.run":{"sourceLink":"https://example.com#L77-L78","name":"Lake.IndexBuildM.run","line":77,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.IndexBuildM.run","doc":"Run the given recursive build using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.IndexBuildM":{"sourceLink":"https://example.com#L125-L125","name":"Lake.IndexBuildM","line":125,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildM","doc":"The monad for build functions that are part of the index. "},"Lake.IndexBuildFn":{"sourceLink":"https://example.com#L117-L119","name":"Lake.IndexBuildFn","line":117,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildFn","doc":"A build function for any element of the Lake build index. "},"Lake.Hole":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Hole","line":26,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Hole","doc":""},"Lake.Hash.val":{"sourceLink":"https://example.com#L82-L82","name":"Lake.Hash.val","line":82,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.val","doc":""},"Lake.Hash.toString":{"sourceLink":"https://example.com#L103-L104","name":"Lake.Hash.toString","line":103,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.toString","doc":""},"Lake.Hash.ofString":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Hash.ofString","line":108,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofString","doc":""},"Lake.Hash.ofNat":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Hash.ofNat","line":87,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofNat","doc":""},"Lake.Hash.ofByteArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.Hash.ofByteArray","line":111,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofByteArray","doc":""},"Lake.Hash.nil":{"sourceLink":"https://example.com#L93-L94","name":"Lake.Hash.nil","line":93,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.nil","doc":""},"Lake.Hash.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Hash.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.Hash.mk","doc":""},"Lake.Hash.mix":{"sourceLink":"https://example.com#L98-L99","name":"Lake.Hash.mix","line":98,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.mix","doc":""},"Lake.Hash.loadFromFile":{"sourceLink":"https://example.com#L90-L91","name":"Lake.Hash.loadFromFile","line":90,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.loadFromFile","doc":""},"Lake.Hash.instToStringHash":{"sourceLink":"https://example.com#L106-L106","name":"Lake.Hash.instToStringHash","line":106,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instToStringHash","doc":""},"Lake.Hash.instNilTraceHash":{"sourceLink":"https://example.com#L96-L96","name":"Lake.Hash.instNilTraceHash","line":96,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instNilTraceHash","doc":""},"Lake.Hash.instMixTraceHash":{"sourceLink":"https://example.com#L101-L101","name":"Lake.Hash.instMixTraceHash","line":101,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instMixTraceHash","doc":""},"Lake.Hash":{"sourceLink":"https://example.com#L81-L83","name":"Lake.Hash","line":81,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.Hash","doc":"A content hash.\nTODO: Use a secure hash rather than the builtin Lean hash function.\n"},"Lake.Glob.submodules":{"sourceLink":"https://example.com#L18-L19","name":"Lake.Glob.submodules","line":18,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.submodules","doc":"Selects all submodules of the specified module, but not the module itself. "},"Lake.Glob.one":{"sourceLink":"https://example.com#L16-L17","name":"Lake.Glob.one","line":16,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.one","doc":"Selects just the specified module name. "},"Lake.Glob.matches":{"sourceLink":"https://example.com#L39-L42","name":"Lake.Glob.matches","line":39,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.matches","doc":""},"Lake.Glob.forEachModuleIn":{"sourceLink":"https://example.com#L44-L50","name":"Lake.Glob.forEachModuleIn","line":44,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.forEachModuleIn","doc":""},"Lake.Glob.andSubmodules":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Glob.andSubmodules","line":20,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.andSubmodules","doc":"Selects the specified module and all submodules. "},"Lake.Glob":{"sourceLink":"https://example.com#L15-L22","name":"Lake.Glob","line":15,"kind":"inductive","docLink":"./Lake/Config/Glob.html#Lake.Glob","doc":"A specification of a set of module names. "},"Lake.GetMTime.mk":{"sourceLink":"https://example.com#L193-L193","name":"Lake.GetMTime.mk","line":193,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.mk","doc":""},"Lake.GetMTime.getMTime":{"sourceLink":"https://example.com#L194-L194","name":"Lake.GetMTime.getMTime","line":194,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.getMTime","doc":""},"Lake.GetMTime":{"sourceLink":"https://example.com#L193-L194","name":"Lake.GetMTime","line":193,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.GetMTime","doc":""},"Lake.FunBinder":{"sourceLink":"https://example.com#L43-L43","name":"Lake.FunBinder","line":43,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.FunBinder","doc":""},"Lake.Fin.eq_of_compare":{"sourceLink":"https://example.com#L66-L69","name":"Lake.Fin.eq_of_compare","line":66,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.Fin.eq_of_compare","doc":""},"Lake.FetchT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.FetchT","line":49,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.FetchT","doc":"A `DFetchT` that is not dependently typed. "},"Lake.FamilyOut.mk":{"sourceLink":"https://example.com#L141-L141","name":"Lake.FamilyOut.mk","line":141,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.mk","doc":""},"Lake.FamilyOut.family_key_eq_type":{"sourceLink":"https://example.com#L142-L142","name":"Lake.FamilyOut.family_key_eq_type","line":142,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.family_key_eq_type","doc":""},"Lake.FamilyOut":{"sourceLink":"https://example.com#L141-L142","name":"Lake.FamilyOut","line":141,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyOut","doc":"Like `FamilyDef`, but `β` is an `outParam`. "},"Lake.FamilyDef.mk":{"sourceLink":"https://example.com#L137-L137","name":"Lake.FamilyDef.mk","line":137,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.mk","doc":""},"Lake.FamilyDef.family_key_eq_type":{"sourceLink":"https://example.com#L138-L138","name":"Lake.FamilyDef.family_key_eq_type","line":138,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.family_key_eq_type","doc":""},"Lake.FamilyDef":{"sourceLink":"https://example.com#L137-L138","name":"Lake.FamilyDef","line":137,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyDef","doc":"Defines a single mapping of the **open type family** `Fam`, namely `Fam a = β`.\nSee the module documentation of `Lake.Util.Family` for details on what an open\ntype family is in Lake.\n"},"Lake.FacetConfig.name":{"sourceLink":"https://example.com#L19-L19","name":"Lake.FacetConfig.name","line":19,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.name","doc":""},"Lake.FacetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.FacetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.mk","doc":""},"Lake.FacetConfig.getJob?":{"sourceLink":"https://example.com#L16-L16","name":"Lake.FacetConfig.getJob?","line":16,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.getJob?","doc":"Does this facet produce an associated asynchronous job? "},"Lake.FacetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.FacetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.build","doc":"The facet's build (function). "},"Lake.FacetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.FacetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig","doc":"A facet's declarative configuration. "},"Lake.ExternLibDecl.pkg":{"sourceLink":"https://example.com#L19-L19","name":"Lake.ExternLibDecl.pkg","line":19,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.pkg","doc":""},"Lake.ExternLibDecl.name":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ExternLibDecl.name","line":20,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.name","doc":""},"Lake.ExternLibDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLibDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.mk","doc":""},"Lake.ExternLibDecl.config":{"sourceLink":"https://example.com#L21-L21","name":"Lake.ExternLibDecl.config","line":21,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.config","doc":""},"Lake.ExternLibDecl":{"sourceLink":"https://example.com#L18-L21","name":"Lake.ExternLibDecl","line":18,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.ExternLibConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.ExternLibConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.mk","doc":""},"Lake.ExternLibConfig.getJob":{"sourceLink":"https://example.com#L14-L14","name":"Lake.ExternLibConfig.getJob","line":14,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.getJob","doc":"The library's build data. "},"Lake.ExternLibConfig":{"sourceLink":"https://example.com#L12-L15","name":"Lake.ExternLibConfig","line":12,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig","doc":"A external library's declarative configuration. "},"Lake.ExternLib.staticTargetName":{"sourceLink":"https://example.com#L37-L38","name":"Lake.ExternLib.staticTargetName","line":37,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.staticTargetName","doc":"The name of the package target used to build the external library's static binary. "},"Lake.ExternLib.staticFacet":{"sourceLink":"https://example.com#L121-L121","name":"Lake.ExternLib.staticFacet","line":121,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.staticFacet","doc":"A external library's static binary. "},"Lake.ExternLib.staticBuildKey":{"sourceLink":"https://example.com#L53-L54","name":"Lake.ExternLib.staticBuildKey","line":53,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.staticBuildKey","doc":""},"Lake.ExternLib.static":{"sourceLink":"https://example.com#L264-L265","name":"Lake.ExternLib.static","line":264,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.static","doc":"Build info of the external library's static binary. "},"Lake.ExternLib.sharedFacet":{"sourceLink":"https://example.com#L125-L125","name":"Lake.ExternLib.sharedFacet","line":125,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.sharedFacet","doc":"A external library's shared binary. "},"Lake.ExternLib.sharedBuildKey":{"sourceLink":"https://example.com#L56-L57","name":"Lake.ExternLib.sharedBuildKey","line":56,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.sharedBuildKey","doc":""},"Lake.ExternLib.shared":{"sourceLink":"https://example.com#L268-L269","name":"Lake.ExternLib.shared","line":268,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.shared","doc":"Build info of the external library's shared binary. "},"Lake.ExternLib.recComputeDynlib":{"sourceLink":"https://example.com#L35-L36","name":"Lake.ExternLib.recComputeDynlib","line":35,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recComputeDynlib","doc":""},"Lake.ExternLib.recBuildStatic":{"sourceLink":"https://example.com#L29-L30","name":"Lake.ExternLib.recBuildStatic","line":29,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildStatic","doc":""},"Lake.ExternLib.recBuildShared":{"sourceLink":"https://example.com#L32-L33","name":"Lake.ExternLib.recBuildShared","line":32,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildShared","doc":""},"Lake.ExternLib.pkg":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ExternLib.pkg","line":13,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.pkg","doc":"The package the library belongs to. "},"Lake.ExternLib.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ExternLib.name","line":15,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.name","doc":"The external library's name. "},"Lake.ExternLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.mk","doc":""},"Lake.ExternLib.linkArgs":{"sourceLink":"https://example.com#L33-L34","name":"Lake.ExternLib.linkArgs","line":33,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the external library.\nThat is, the package's `moreLinkArgs`.\n"},"Lake.ExternLib.dynlibFacet":{"sourceLink":"https://example.com#L129-L129","name":"Lake.ExternLib.dynlibFacet","line":129,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.dynlibFacet","doc":"A external library's dynlib. "},"Lake.ExternLib.dynlibBuildKey":{"sourceLink":"https://example.com#L59-L60","name":"Lake.ExternLib.dynlibBuildKey","line":59,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlibBuildKey","doc":""},"Lake.ExternLib.dynlib":{"sourceLink":"https://example.com#L272-L273","name":"Lake.ExternLib.dynlib","line":272,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlib","doc":"Build info of the external library's dynlib. "},"Lake.ExternLib.config":{"sourceLink":"https://example.com#L17-L17","name":"Lake.ExternLib.config","line":17,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.config","doc":"The library's user-defined configuration. "},"Lake.ExternLib":{"sourceLink":"https://example.com#L11-L17","name":"Lake.ExternLib","line":11,"kind":"structure","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib","doc":"An external library -- its package plus its configuration. "},"Lake.ExitCode":{"sourceLink":"https://example.com#L9-L9","name":"Lake.ExitCode","line":9,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.ExitCode","doc":"A process exit / return code. "},"Lake.EquipT.tryCatch":{"sourceLink":"https://example.com#L87-L88","name":"Lake.EquipT.tryCatch","line":87,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.tryCatch","doc":""},"Lake.EquipT.throw":{"sourceLink":"https://example.com#L83-L84","name":"Lake.EquipT.throw","line":83,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.throw","doc":""},"Lake.EquipT.seq":{"sourceLink":"https://example.com#L46-L47","name":"Lake.EquipT.seq","line":46,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.seq","doc":""},"Lake.EquipT.run":{"sourceLink":"https://example.com#L24-L25","name":"Lake.EquipT.run","line":24,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.run","doc":""},"Lake.EquipT.pure":{"sourceLink":"https://example.com#L35-L36","name":"Lake.EquipT.pure","line":35,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.pure","doc":""},"Lake.EquipT.orElse":{"sourceLink":"https://example.com#L75-L76","name":"Lake.EquipT.orElse","line":75,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.orElse","doc":""},"Lake.EquipT.map":{"sourceLink":"https://example.com#L28-L29","name":"Lake.EquipT.map","line":28,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.map","doc":""},"Lake.EquipT.lift":{"sourceLink":"https://example.com#L64-L65","name":"Lake.EquipT.lift","line":64,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.lift","doc":""},"Lake.EquipT.instSeqEquipT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.EquipT.instSeqEquipT","line":49,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instSeqEquipT","doc":""},"Lake.EquipT.instPureEquipT":{"sourceLink":"https://example.com#L38-L39","name":"Lake.EquipT.instPureEquipT","line":38,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instPureEquipT","doc":""},"Lake.EquipT.instMonadLiftEquipT":{"sourceLink":"https://example.com#L67-L68","name":"Lake.EquipT.instMonadLiftEquipT","line":67,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadLiftEquipT","doc":""},"Lake.EquipT.instMonadExceptOfEquipT":{"sourceLink":"https://example.com#L90-L92","name":"Lake.EquipT.instMonadExceptOfEquipT","line":90,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadExceptOfEquipT","doc":""},"Lake.EquipT.instMonadEquipT":{"sourceLink":"https://example.com#L61-L61","name":"Lake.EquipT.instMonadEquipT","line":61,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadEquipT","doc":""},"Lake.EquipT.instFunctorEquipT":{"sourceLink":"https://example.com#L31-L32","name":"Lake.EquipT.instFunctorEquipT","line":31,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instFunctorEquipT","doc":""},"Lake.EquipT.instBindEquipT":{"sourceLink":"https://example.com#L58-L59","name":"Lake.EquipT.instBindEquipT","line":58,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instBindEquipT","doc":""},"Lake.EquipT.instApplicativeEquipT":{"sourceLink":"https://example.com#L52-L52","name":"Lake.EquipT.instApplicativeEquipT","line":52,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instApplicativeEquipT","doc":""},"Lake.EquipT.instAlternativeEquipT":{"sourceLink":"https://example.com#L78-L80","name":"Lake.EquipT.instAlternativeEquipT","line":78,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instAlternativeEquipT","doc":""},"Lake.EquipT.failure":{"sourceLink":"https://example.com#L71-L72","name":"Lake.EquipT.failure","line":71,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.failure","doc":""},"Lake.EquipT.compose":{"sourceLink":"https://example.com#L42-L43","name":"Lake.EquipT.compose","line":42,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.compose","doc":""},"Lake.EquipT.bind":{"sourceLink":"https://example.com#L55-L56","name":"Lake.EquipT.bind","line":55,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.bind","doc":""},"Lake.EquipT":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EquipT","line":13,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT","doc":"A monad transformer that equips a monad with a value.\nThis is a generalization of `ReaderT` where the value is not\nnecessarily directly readable through the monad.\n"},"Lake.EqOfCmpWrt.mk":{"sourceLink":"https://example.com#L36-L36","name":"Lake.EqOfCmpWrt.mk","line":36,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.mk","doc":""},"Lake.EqOfCmpWrt.eq_of_cmp_wrt":{"sourceLink":"https://example.com#L37-L37","name":"Lake.EqOfCmpWrt.eq_of_cmp_wrt","line":37,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.eq_of_cmp_wrt","doc":""},"Lake.EqOfCmpWrt":{"sourceLink":"https://example.com#L36-L37","name":"Lake.EqOfCmpWrt","line":36,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt","doc":"Proof that the equality of a compare function corresponds\nto propositional equality with respect to a given function.\n"},"Lake.EqOfCmp.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.EqOfCmp.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.mk","doc":""},"Lake.EqOfCmp.eq_of_cmp":{"sourceLink":"https://example.com#L14-L14","name":"Lake.EqOfCmp.eq_of_cmp","line":14,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.eq_of_cmp","doc":""},"Lake.EqOfCmp":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EqOfCmp","line":13,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp","doc":"Proof that the equality of a compare function corresponds\nto propositional equality.\n"},"Lake.Env.vars":{"sourceLink":"https://example.com#L97-L106","name":"Lake.Env.vars","line":97,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.vars","doc":"Environment variable settings for the `Lake.Env`. "},"Lake.Env.sharedLibPath":{"sourceLink":"https://example.com#L83-L84","name":"Lake.Env.sharedLibPath","line":83,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.sharedLibPath","doc":"The shared library search path of the environment.\nCombines the initial path of the environment with that of the Lean installation.\n"},"Lake.Env.path":{"sourceLink":"https://example.com#L51-L55","name":"Lake.Env.path","line":51,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.path","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Env.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Env.html#Lake.Env.mk","doc":""},"Lake.Env.leanSrcPath":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Env.leanSrcPath","line":76,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSrcPath","doc":"The Lean source search path of the environment (i.e., `LEAN_SRC_PATH`).\nCombines the initial path of the environment with that of the Lake abd Lean\ninstallations.\n"},"Lake.Env.leanSearchPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Env.leanSearchPath","line":128,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSearchPath","doc":"The default search path the Lake executable\nuses when interpreting package configuration files.\n\nIn order to use the Lean stdlib (e.g., `Init`),\nthe executable needs the search path to include the directory\nwith the stdlib's `.olean` files (e.g., from `/lib/lean`).\nIn order to use Lake's modules as well, the search path also\nneeds to include Lake's `.olean` files (e.g., from `build`).\n\nWhile this can be done by having the user augment `LEAN_PATH` with\nthe necessary directories, Lake also intelligently augments the initial\nsearch path with the `.olean` directories of the provided Lean and Lake\ninstallations.\n\nSee `findInstall?` for more information on how Lake determines those\ndirectories. If everything is configured as expected, the user will not\nneed to augment `LEAN_PATH`. Otherwise, they will need to provide Lake\nwith more information (either through `LEAN_PATH` or through other options).\n"},"Lake.Env.leanPath":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Env.leanPath","line":68,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanPath","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.lean":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Env.lean","line":24,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lean","doc":"The Lean installation of the environment. "},"Lake.Env.lake":{"sourceLink":"https://example.com#L22-L22","name":"Lake.Env.lake","line":22,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lake","doc":"The Lake installation of the environment. "},"Lake.Env.installVars":{"sourceLink":"https://example.com#L87-L94","name":"Lake.Env.installVars","line":87,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.installVars","doc":"Environment variable settings based only on the Lean and Lake installations. "},"Lake.Env.initSharedLibPath":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Env.initSharedLibPath","line":30,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initSharedLibPath","doc":"The initial shared library search path of the environment. "},"Lake.Env.initPath":{"sourceLink":"https://example.com#L32-L32","name":"Lake.Env.initPath","line":32,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initPath","doc":"The initial binary search path of the environment (i.e., `PATH`). "},"Lake.Env.initLeanSrcPath":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Env.initLeanSrcPath","line":28,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanSrcPath","doc":"The initial Lean source search path of the environment (i.e., `LEAN_SRC_PATH`). "},"Lake.Env.initLeanPath":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Env.initLeanPath","line":26,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanPath","doc":"The initial Lean library search path of the environment (i.e., `LEAN_PATH`). "},"Lake.Env.compute":{"sourceLink":"https://example.com#L38-L45","name":"Lake.Env.compute","line":38,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.compute","doc":"Compute an `Lake.Env` object from the given installs and set environment variables. "},"Lake.Env":{"sourceLink":"https://example.com#L20-L33","name":"Lake.Env","line":20,"kind":"structure","docLink":"./Lake/Config/Env.html#Lake.Env","doc":"A Lake environment. "},"Lake.Ellipsis":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Ellipsis","line":13,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Ellipsis","doc":""},"Lake.ETask":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ETask","line":13,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.ETask","doc":""},"Lake.EStateT.run'":{"sourceLink":"https://example.com#L19-L20","name":"Lake.EStateT.run'","line":19,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run'","doc":""},"Lake.EStateT.run":{"sourceLink":"https://example.com#L16-L17","name":"Lake.EStateT.run","line":16,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run","doc":""},"Lake.EStateT":{"sourceLink":"https://example.com#L10-L11","name":"Lake.EStateT","line":10,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT","doc":"An exception plus state monad transformer (ι.e., `ExceptT` + `StateT`). "},"Lake.EIOTask":{"sourceLink":"https://example.com#L19-L19","name":"Lake.EIOTask","line":19,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.EIOTask","doc":""},"Lake.Dynlib.path":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Dynlib.path","line":24,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.path","doc":"Library file path. "},"Lake.Dynlib.name":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Dynlib.name","line":26,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.name","doc":"Library name without platform-specific prefix/suffix (for `-l`). "},"Lake.Dynlib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dynlib.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.mk","doc":""},"Lake.Dynlib.dir?":{"sourceLink":"https://example.com#L29-L30","name":"Lake.Dynlib.dir?","line":29,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.dir?","doc":"Optional library directory (for `-L`). "},"Lake.Dynlib":{"sourceLink":"https://example.com#L22-L26","name":"Lake.Dynlib","line":22,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.Dynlib","doc":"A dynamic/shared library for linking. "},"Lake.Dependency.src":{"sourceLink":"https://example.com#L35-L35","name":"Lake.Dependency.src","line":35,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.src","doc":"The source of a dependency.\nSee the documentation of `Source` for more information.\n"},"Lake.Dependency.opts":{"sourceLink":"https://example.com#L39-L39","name":"Lake.Dependency.opts","line":39,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.opts","doc":"Arguments to pass to the dependency's package configuration.\n"},"Lake.Dependency.name":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Dependency.name","line":30,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.name","doc":"A `Name` for the dependency.\nThe names of a package's dependencies cannot clash.\n"},"Lake.Dependency.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dependency.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.mk","doc":""},"Lake.Dependency":{"sourceLink":"https://example.com#L25-L41","name":"Lake.Dependency","line":25,"kind":"structure","docLink":"./Lake/Config/Dependency.html#Lake.Dependency","doc":"A `Dependency` of a package. "},"Lake.DSL.targetDecl":{"sourceLink":"https://example.com#L123-L140","name":"Lake.DSL.targetDecl","line":123,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.targetDecl","doc":"Define a new custom target for the package. Has one form:\n\n```lean\ntarget «target-name» (pkg : NPackage _package.name) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n"},"Lake.DSL.structVal":{"sourceLink":"https://example.com#L27-L28","name":"Lake.DSL.structVal","line":27,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structVal","doc":""},"Lake.DSL.structDeclSig":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DSL.structDeclSig","line":45,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structDeclSig","doc":""},"Lake.DSL.simpleDeclSig":{"sourceLink":"https://example.com#L42-L43","name":"Lake.DSL.simpleDeclSig","line":42,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleDeclSig","doc":""},"Lake.DSL.simpleBinder":{"sourceLink":"https://example.com#L51-L52","name":"Lake.DSL.simpleBinder","line":51,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleBinder","doc":""},"Lake.DSL.scriptDeclSpec":{"sourceLink":"https://example.com#L13-L14","name":"Lake.DSL.scriptDeclSpec","line":13,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDeclSpec","doc":""},"Lake.DSL.scriptDecl":{"sourceLink":"https://example.com#L16-L25","name":"Lake.DSL.scriptDecl","line":16,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDecl","doc":"Define a new Lake script for the package. Has two forms:\n\n```lean\nscript «script-name» (args) do /- ... -/\nscript «script-name» (args) := ...\n```\n"},"Lake.DSL.requireDecl":{"sourceLink":"https://example.com#L56-L57","name":"Lake.DSL.requireDecl","line":56,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.requireDecl","doc":"Adds a new package dependency to the workspace. Has two forms:\n\n```lean\nrequire foo from \"path\"/\"to\"/\"local\"/\"package\" with NameMap.empty\nrequire bar from git \"url.git\"@\"rev\"/\"optional\"/\"path-to\"/\"dir-with-pkg\"\n```\n\nEither form supports the optional `with` clause.\nThe `@\"rev\"` and `/\"path\"/\"dir\"` parts of the git form of `require`\nare optional.\n\nThe elements of both the `from` and `with` clauses are proper terms so\nnormal computation is supported within them (though parentheses made be\nrequired to disambiguate the syntax).\n"},"Lake.DSL.packageFacetDecl":{"sourceLink":"https://example.com#L61-L77","name":"Lake.DSL.packageFacetDecl","line":61,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.packageFacetDecl","doc":"Define a new package facet. Has one form:\n\n```lean\npackage_facet «facet-name» (pkg : Package) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\n"},"Lake.DSL.packageDeclName":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.packageDeclName","line":14,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDeclName","doc":"The name given to the definition created by the `package` syntax. "},"Lake.DSL.packageDecl":{"sourceLink":"https://example.com#L29-L35","name":"Lake.DSL.packageDecl","line":29,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDecl","doc":"Defines the configuration of a Lake package. Has many forms:\n\n```lean\npackage «pkg-name»\npackage «pkg-name» { /- config opts -/ }\npackage «pkg-name» where /- config opts -/\npackage «pkg-name» : PackageConfig := /- config -/\n```\n\nThere can only be one `package` declaration per Lake configuration file.\nThe defined package configuration will be available for reference as `_package`.\n"},"Lake.DSL.moduleFacetDecl":{"sourceLink":"https://example.com#L33-L49","name":"Lake.DSL.moduleFacetDecl","line":33,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.moduleFacetDecl","doc":"Define a new module facet. Has one form:\n\n```lean\nmodule_facet «facet-name» (mod : Module) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `mod` parameter (and its type specifier) is optional.\n"},"Lake.DSL.mkConfigStructDecl":{"sourceLink":"https://example.com#L72-L86","name":"Lake.DSL.mkConfigStructDecl","line":72,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.mkConfigStructDecl","doc":""},"Lake.DSL.metaIf":{"sourceLink":"https://example.com#L28-L53","name":"Lake.DSL.metaIf","line":28,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.metaIf","doc":"The `meta if` command has two forms:\n\n```lean\nmeta if then \nmeta if then else \n```\n\nIt expands to the command `a` if the term `c` evaluates to true\n(at elaboration time). Otherwise, it expands to command `b` (if an `else`\nclause is provided).\n\nOne can use this command to specify, for example, external library targets\nonly available on specific platforms:\n\n```lean\nmeta if System.Platform.isWindows then\nextern_lib winOnlyLib := ...\nelse meta if System.Platform.isOSX then\nextern_lib macOnlyLib := ...\nelse\nextern_lib linuxOnlyLib := ...\n```\n"},"Lake.DSL.libraryFacetDecl":{"sourceLink":"https://example.com#L89-L105","name":"Lake.DSL.libraryFacetDecl","line":89,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.libraryFacetDecl","doc":"Define a new library facet. Has one form:\n\n```lean\nlibrary_facet «facet-name» (lib : LeanLib) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `lib` parameter (and its type specifier) is optional.\n"},"Lake.DSL.leanLibDecl":{"sourceLink":"https://example.com#L159-L165","name":"Lake.DSL.leanLibDecl","line":159,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanLibDecl","doc":"Define a new Lean library target for the package.\nCan optionally be provided with a configuration of type `LeanLibConfig`.\nHas many forms:\n\n```lean\nlean_lib «target-name»\nlean_lib «target-name» { /- config opts -/ }\nlean_lib «target-name» where /- config opts -/\nlean_lib «target-name» := /- config -/\n```\n"},"Lake.DSL.leanExeDecl":{"sourceLink":"https://example.com#L179-L185","name":"Lake.DSL.leanExeDecl","line":179,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanExeDecl","doc":"Define a new Lean binary executable target for the package.\nCan optionally be provided with a configuration of type `LeanExeConfig`.\nHas many forms:\n\n```lean\nlean_exe «target-name»\nlean_exe «target-name» { /- config opts -/ }\nlean_exe «target-name» where /- config opts -/\nlean_exe «target-name» := /- config -/\n```\n"},"Lake.DSL.getConfig":{"sourceLink":"https://example.com#L41-L48","name":"Lake.DSL.getConfig","line":41,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.getConfig","doc":"A macro that expands to the specified configuration option (or `none`,\nif not the option has not been set) during the Lakefile's elaboration.\n\nConfiguration arguments are set either via the Lake CLI (by the `-K` option)\nor via the `with` clause in a `require` statement.\n"},"Lake.DSL.fromPath":{"sourceLink":"https://example.com#L12-L13","name":"Lake.DSL.fromPath","line":12,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromPath","doc":""},"Lake.DSL.fromGit":{"sourceLink":"https://example.com#L15-L16","name":"Lake.DSL.fromGit","line":15,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromGit","doc":""},"Lake.DSL.fixName":{"sourceLink":"https://example.com#L68-L70","name":"Lake.DSL.fixName","line":68,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.fixName","doc":""},"Lake.DSL.externLibDeclSpec":{"sourceLink":"https://example.com#L192-L193","name":"Lake.DSL.externLibDeclSpec","line":192,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDeclSpec","doc":""},"Lake.DSL.externLibDecl":{"sourceLink":"https://example.com#L209-L225","name":"Lake.DSL.externLibDecl","line":209,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDecl","doc":"Define a new external library target for the package. Has one form:\n\n```lean\nextern_lib «target-name» (pkg : NPackage _package.name) :=\n /- build term of type `IndexBuildM (BuildJob FilePath)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n\nThe term should build the external library's **static** library.\n"},"Lake.DSL.expandScriptDecl":{"sourceLink":"https://example.com#L28-L35","name":"Lake.DSL.expandScriptDecl","line":28,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.expandScriptDecl","doc":""},"Lake.DSL.expandOptSimpleBinder":{"sourceLink":"https://example.com#L56-L66","name":"Lake.DSL.expandOptSimpleBinder","line":56,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandOptSimpleBinder","doc":""},"Lake.DSL.expandDepSpec":{"sourceLink":"https://example.com#L21-L38","name":"Lake.DSL.expandDepSpec","line":21,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.expandDepSpec","doc":""},"Lake.DSL.expandCmdDo":{"sourceLink":"https://example.com#L23-L26","name":"Lake.DSL.expandCmdDo","line":23,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.expandCmdDo","doc":""},"Lake.DSL.expandAttrs":{"sourceLink":"https://example.com#L19-L25","name":"Lake.DSL.expandAttrs","line":19,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandAttrs","doc":""},"Lake.DSL.elabGetConfig":{"sourceLink":"https://example.com#L51-L65","name":"Lake.DSL.elabGetConfig","line":51,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabGetConfig","doc":""},"Lake.DSL.elabDirConst":{"sourceLink":"https://example.com#L31-L39","name":"Lake.DSL.elabDirConst","line":31,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabDirConst","doc":""},"Lake.DSL.dummyGetConfig?":{"sourceLink":"https://example.com#L22-L22","name":"Lake.DSL.dummyGetConfig?","line":22,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyGetConfig?","doc":"A dummy default constant for `get_config` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dummyDir":{"sourceLink":"https://example.com#L16-L16","name":"Lake.DSL.dummyDir","line":16,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyDir","doc":"A dummy default constant for `__dir__` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dirConst":{"sourceLink":"https://example.com#L24-L28","name":"Lake.DSL.dirConst","line":24,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.dirConst","doc":"A macro that expands to the path of package's directory\nduring the Lakefile's elaboration.\n"},"Lake.DSL.depSpec":{"sourceLink":"https://example.com#L18-L19","name":"Lake.DSL.depSpec","line":18,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.depSpec","doc":""},"Lake.DSL.declValTyped":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DSL.declValTyped","line":36,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValTyped","doc":""},"Lake.DSL.declValStruct":{"sourceLink":"https://example.com#L33-L34","name":"Lake.DSL.declValStruct","line":33,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValStruct","doc":""},"Lake.DSL.declValOptTyped":{"sourceLink":"https://example.com#L39-L40","name":"Lake.DSL.declValOptTyped","line":39,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValOptTyped","doc":""},"Lake.DSL.declValDo":{"sourceLink":"https://example.com#L30-L31","name":"Lake.DSL.declValDo","line":30,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValDo","doc":""},"Lake.DSL.cmdDo":{"sourceLink":"https://example.com#L16-L21","name":"Lake.DSL.cmdDo","line":16,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.cmdDo","doc":"The `do` command syntax groups multiple similarly indented commands together.\nThe group can then be passed to another command that usually only accepts a\nsingle command (e.g., `meta if`).\n"},"Lake.DSL.buildDeclSig":{"sourceLink":"https://example.com#L16-L17","name":"Lake.DSL.buildDeclSig","line":16,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.buildDeclSig","doc":""},"Lake.DSL.bracketedSimpleBinder":{"sourceLink":"https://example.com#L48-L49","name":"Lake.DSL.bracketedSimpleBinder","line":48,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.bracketedSimpleBinder","doc":""},"Lake.DSL.WhereDecls":{"sourceLink":"https://example.com#L15-L15","name":"Lake.DSL.WhereDecls","line":15,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.WhereDecls","doc":""},"Lake.DSL.SimpleBinder":{"sourceLink":"https://example.com#L54-L54","name":"Lake.DSL.SimpleBinder","line":54,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.SimpleBinder","doc":""},"Lake.DSL.DocComment":{"sourceLink":"https://example.com#L12-L12","name":"Lake.DSL.DocComment","line":12,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.DocComment","doc":""},"Lake.DSL.Attributes":{"sourceLink":"https://example.com#L13-L13","name":"Lake.DSL.Attributes","line":13,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.Attributes","doc":""},"Lake.DSL.AttrInstance":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.AttrInstance","line":14,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.AttrInstance","doc":""},"Lake.DRecFetchFn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRecFetchFn","line":61,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DRecFetchFn","doc":""},"Lake.DRBMap.toList":{"sourceLink":"https://example.com#L71-L72","name":"Lake.DRBMap.toList","line":71,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.toList","doc":""},"Lake.DRBMap.size":{"sourceLink":"https://example.com#L125-L126","name":"Lake.DRBMap.size","line":125,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.size","doc":""},"Lake.DRBMap.revFold":{"sourceLink":"https://example.com#L52-L53","name":"Lake.DRBMap.revFold","line":52,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.revFold","doc":""},"Lake.DRBMap.ofList":{"sourceLink":"https://example.com#L95-L97","name":"Lake.DRBMap.ofList","line":95,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.ofList","doc":""},"Lake.DRBMap.min!":{"sourceLink":"https://example.com#L131-L134","name":"Lake.DRBMap.min!","line":131,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min!","doc":""},"Lake.DRBMap.min":{"sourceLink":"https://example.com#L74-L78","name":"Lake.DRBMap.min","line":74,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min","doc":""},"Lake.DRBMap.maxDepth":{"sourceLink":"https://example.com#L128-L129","name":"Lake.DRBMap.maxDepth","line":128,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.maxDepth","doc":""},"Lake.DRBMap.max!":{"sourceLink":"https://example.com#L136-L139","name":"Lake.DRBMap.max!","line":136,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max!","doc":""},"Lake.DRBMap.max":{"sourceLink":"https://example.com#L80-L84","name":"Lake.DRBMap.max","line":80,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max","doc":""},"Lake.DRBMap.lowerBound":{"sourceLink":"https://example.com#L110-L111","name":"Lake.DRBMap.lowerBound","line":110,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.lowerBound","doc":"(lowerBound k) retrieves the kv pair of the largest key smaller than or equal to `k`,\nif it exists. "},"Lake.DRBMap.isEmpty":{"sourceLink":"https://example.com#L67-L69","name":"Lake.DRBMap.isEmpty","line":67,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.isEmpty","doc":""},"Lake.DRBMap.instReprDRBMap":{"sourceLink":"https://example.com#L86-L87","name":"Lake.DRBMap.instReprDRBMap","line":86,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instReprDRBMap","doc":""},"Lake.DRBMap.instForInDRBMapSigma":{"sourceLink":"https://example.com#L64-L65","name":"Lake.DRBMap.instForInDRBMapSigma","line":64,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instForInDRBMapSigma","doc":""},"Lake.DRBMap.insert":{"sourceLink":"https://example.com#L89-L90","name":"Lake.DRBMap.insert","line":89,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.insert","doc":""},"Lake.DRBMap.fromList":{"sourceLink":"https://example.com#L116-L117","name":"Lake.DRBMap.fromList","line":116,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fromList","doc":""},"Lake.DRBMap.forM":{"sourceLink":"https://example.com#L58-L59","name":"Lake.DRBMap.forM","line":58,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forM","doc":""},"Lake.DRBMap.forIn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRBMap.forIn","line":61,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forIn","doc":""},"Lake.DRBMap.foldM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.DRBMap.foldM","line":55,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.foldM","doc":""},"Lake.DRBMap.fold":{"sourceLink":"https://example.com#L49-L50","name":"Lake.DRBMap.fold","line":49,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fold","doc":""},"Lake.DRBMap.findD":{"sourceLink":"https://example.com#L105-L106","name":"Lake.DRBMap.findD","line":105,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findD","doc":""},"Lake.DRBMap.findCore?":{"sourceLink":"https://example.com#L99-L100","name":"Lake.DRBMap.findCore?","line":99,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findCore?","doc":""},"Lake.DRBMap.find?":{"sourceLink":"https://example.com#L102-L103","name":"Lake.DRBMap.find?","line":102,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find?","doc":""},"Lake.DRBMap.find!":{"sourceLink":"https://example.com#L141-L144","name":"Lake.DRBMap.find!","line":141,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find!","doc":""},"Lake.DRBMap.erase":{"sourceLink":"https://example.com#L92-L93","name":"Lake.DRBMap.erase","line":92,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.erase","doc":""},"Lake.DRBMap.empty":{"sourceLink":"https://example.com#L37-L38","name":"Lake.DRBMap.empty","line":37,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.empty","doc":""},"Lake.DRBMap.depth":{"sourceLink":"https://example.com#L46-L47","name":"Lake.DRBMap.depth","line":46,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.depth","doc":""},"Lake.DRBMap.contains":{"sourceLink":"https://example.com#L113-L114","name":"Lake.DRBMap.contains","line":113,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.contains","doc":""},"Lake.DRBMap.any":{"sourceLink":"https://example.com#L122-L123","name":"Lake.DRBMap.any","line":122,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.any","doc":""},"Lake.DRBMap.all":{"sourceLink":"https://example.com#L119-L120","name":"Lake.DRBMap.all","line":119,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.all","doc":""},"Lake.DRBMap":{"sourceLink":"https://example.com#L31-L32","name":"Lake.DRBMap","line":31,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap","doc":"A Dependently typed `RBMap`. "},"Lake.DNameMap.empty":{"sourceLink":"https://example.com#L175-L175","name":"Lake.DNameMap.empty","line":175,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap.empty","doc":""},"Lake.DNameMap":{"sourceLink":"https://example.com#L174-L174","name":"Lake.DNameMap","line":174,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap","doc":""},"Lake.DFetchT":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DFetchT","line":45,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchT","doc":"A transformer that equips a monad with a `DFetchFn`. "},"Lake.DFetchFn":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DFetchFn","line":36,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchFn","doc":"A dependently typed monadic *fetch* function.\n\nThat is, a function within the monad `m` and takes an input `a : α`\ndescribing what to fetch and and produces some output `b : β a` (dependently\ntyped) or `b : B` (not) describing what was fetched. All build functions are\nfetch functions, but not all fetch functions need build something.\n"},"Lake.CycleT":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CycleT","line":16,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CycleT","doc":"A transformer that equips a monad with a `CallStack` to detect cycles. "},"Lake.Cycle":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Cycle","line":13,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.Cycle","doc":"A `CallStack` ending in a cycle. "},"Lake.CustomData":{"sourceLink":"https://example.com#L69-L69","name":"Lake.CustomData","line":69,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.CustomData","doc":"The open type family which maps a custom target (package × target name) to\nits build data in the Lake build store.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `custom_data`).\n"},"Lake.Context.workspace":{"sourceLink":"https://example.com#L37-L38","name":"Lake.Context.workspace","line":37,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.Context.workspace","doc":""},"Lake.Context.opaqueWs":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Context.opaqueWs","line":14,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.Context.opaqueWs","doc":""},"Lake.Context.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Context.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Context.html#Lake.Context.mk","doc":""},"Lake.Context":{"sourceLink":"https://example.com#L13-L14","name":"Lake.Context","line":13,"kind":"structure","docLink":"./Lake/Config/Context.html#Lake.Context","doc":"A Lake configuration. "},"Lake.ComputeTrace.mk":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ComputeTrace.mk","line":27,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.mk","doc":""},"Lake.ComputeTrace.computeTrace":{"sourceLink":"https://example.com#L29-L29","name":"Lake.ComputeTrace.computeTrace","line":29,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.computeTrace","doc":"Compute the trace of some target info using information from the monadic context. "},"Lake.ComputeTrace":{"sourceLink":"https://example.com#L27-L29","name":"Lake.ComputeTrace","line":27,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace","doc":""},"Lake.ComputeHash.mk":{"sourceLink":"https://example.com#L116-L116","name":"Lake.ComputeHash.mk","line":116,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.mk","doc":""},"Lake.ComputeHash.computeHash":{"sourceLink":"https://example.com#L117-L117","name":"Lake.ComputeHash.computeHash","line":117,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.computeHash","doc":""},"Lake.ComputeHash":{"sourceLink":"https://example.com#L116-L117","name":"Lake.ComputeHash","line":116,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash","doc":""},"Lake.CheckExists.mk":{"sourceLink":"https://example.com#L14-L14","name":"Lake.CheckExists.mk","line":14,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.mk","doc":""},"Lake.CheckExists.checkExists":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CheckExists.checkExists","line":16,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.checkExists","doc":"Check whether there already exists an artifact for the given target info. "},"Lake.CheckExists":{"sourceLink":"https://example.com#L14-L16","name":"Lake.CheckExists","line":14,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.CheckExists","doc":""},"Lake.CallStack":{"sourceLink":"https://example.com#L10-L10","name":"Lake.CallStack","line":10,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CallStack","doc":"A sequence of calls donated by the key type `κ`. "},"Lake.BuildType.release":{"sourceLink":"https://example.com#L30-L34","name":"Lake.BuildType.release","line":30,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.release","doc":"High optimization level and no debug info, code, or asserts\n(e.g., passes `-O3 -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.relWithDebInfo":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildType.relWithDebInfo","line":20,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.relWithDebInfo","doc":"Optimized, *with* debug info, but no debug code or asserts\n(e.g., passes `-O3 -g -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.minSizeRel":{"sourceLink":"https://example.com#L25-L29","name":"Lake.BuildType.minSizeRel","line":25,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.minSizeRel","doc":"Same as `release` but optimizing for size rather than speed\n(e.g., passes `-Os -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.leancArgs":{"sourceLink":"https://example.com#L43-L47","name":"Lake.BuildType.leancArgs","line":43,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.leancArgs","doc":"The arguments to pass to `leanc` based on the build type. "},"Lake.BuildType.debug":{"sourceLink":"https://example.com#L13-L19","name":"Lake.BuildType.debug","line":13,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.debug","doc":"Debug optimization, asserts enabled, custom debug code enabled, and\ndebug info included in executable (so you can step through the code with a\ndebugger and have address to source-file:line-number translation).\nFor example, passes `-Og -g` when compiling C code.\n"},"Lake.BuildType":{"sourceLink":"https://example.com#L12-L35","name":"Lake.BuildType","line":12,"kind":"inductive","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType","doc":"Lake equivalent of CMake's\n[`CMAKE_BUILD_TYPE`](https://stackoverflow.com/a/59314670).\n"},"Lake.BuildTrace.writeToFile":{"sourceLink":"https://example.com#L287-L288","name":"Lake.BuildTrace.writeToFile","line":287,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.writeToFile","doc":""},"Lake.BuildTrace.withoutMTime":{"sourceLink":"https://example.com#L230-L231","name":"Lake.BuildTrace.withoutMTime","line":230,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutMTime","doc":""},"Lake.BuildTrace.withoutHash":{"sourceLink":"https://example.com#L224-L225","name":"Lake.BuildTrace.withoutHash","line":224,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutHash","doc":""},"Lake.BuildTrace.withMTime":{"sourceLink":"https://example.com#L227-L228","name":"Lake.BuildTrace.withMTime","line":227,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withMTime","doc":""},"Lake.BuildTrace.withHash":{"sourceLink":"https://example.com#L221-L222","name":"Lake.BuildTrace.withHash","line":221,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withHash","doc":""},"Lake.BuildTrace.nil":{"sourceLink":"https://example.com#L243-L244","name":"Lake.BuildTrace.nil","line":243,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.nil","doc":""},"Lake.BuildTrace.mtime":{"sourceLink":"https://example.com#L216-L216","name":"Lake.BuildTrace.mtime","line":216,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mtime","doc":""},"Lake.BuildTrace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildTrace.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mk","doc":""},"Lake.BuildTrace.mix":{"sourceLink":"https://example.com#L253-L254","name":"Lake.BuildTrace.mix","line":253,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mix","doc":""},"Lake.BuildTrace.instNilTraceBuildTrace":{"sourceLink":"https://example.com#L246-L246","name":"Lake.BuildTrace.instNilTraceBuildTrace","line":246,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instNilTraceBuildTrace","doc":""},"Lake.BuildTrace.instMixTraceBuildTrace":{"sourceLink":"https://example.com#L256-L256","name":"Lake.BuildTrace.instMixTraceBuildTrace","line":256,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instMixTraceBuildTrace","doc":""},"Lake.BuildTrace.instComputeTraceIOBuildTrace":{"sourceLink":"https://example.com#L251-L251","name":"Lake.BuildTrace.instComputeTraceIOBuildTrace","line":251,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instComputeTraceIOBuildTrace","doc":""},"Lake.BuildTrace.instCoeMTimeBuildTrace":{"sourceLink":"https://example.com#L241-L241","name":"Lake.BuildTrace.instCoeMTimeBuildTrace","line":241,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeMTimeBuildTrace","doc":""},"Lake.BuildTrace.instCoeHashBuildTrace":{"sourceLink":"https://example.com#L236-L236","name":"Lake.BuildTrace.instCoeHashBuildTrace","line":236,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeHashBuildTrace","doc":""},"Lake.BuildTrace.hash":{"sourceLink":"https://example.com#L215-L215","name":"Lake.BuildTrace.hash","line":215,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.hash","doc":""},"Lake.BuildTrace.fromMTime":{"sourceLink":"https://example.com#L238-L239","name":"Lake.BuildTrace.fromMTime","line":238,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromMTime","doc":""},"Lake.BuildTrace.fromHash":{"sourceLink":"https://example.com#L233-L234","name":"Lake.BuildTrace.fromHash","line":233,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromHash","doc":""},"Lake.BuildTrace.compute":{"sourceLink":"https://example.com#L248-L249","name":"Lake.BuildTrace.compute","line":248,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.compute","doc":""},"Lake.BuildTrace.checkAgainstTime":{"sourceLink":"https://example.com#L270-L272","name":"Lake.BuildTrace.checkAgainstTime","line":270,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstTime","doc":"Check the build trace against the given target info and its modification time\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstHash":{"sourceLink":"https://example.com#L262-L264","name":"Lake.BuildTrace.checkAgainstHash","line":262,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstHash","doc":"Check the build trace against the given target info and hash\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstFile":{"sourceLink":"https://example.com#L278-L285","name":"Lake.BuildTrace.checkAgainstFile","line":278,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstFile","doc":"Check the build trace against the given target info and its trace file\nto see if the target is up-to-date.\n"},"Lake.BuildTrace":{"sourceLink":"https://example.com#L214-L217","name":"Lake.BuildTrace","line":214,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace","doc":"Trace used for common Lake targets. Combines `Hash` and `MTime`. "},"Lake.BuildT":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildT","line":26,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildT","doc":"A transformer to equip a monad with a `BuildContext`. "},"Lake.BuildStoreT":{"sourceLink":"https://example.com#L35-L35","name":"Lake.BuildStoreT","line":35,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildStoreT","doc":"A transformer to equip a monad with a Lake build store. "},"Lake.BuildStore.empty":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildStore.empty","line":26,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.empty","doc":""},"Lake.BuildStore.collectTargetFacetArray":{"sourceLink":"https://example.com#L73-L83","name":"Lake.BuildStore.collectTargetFacetArray","line":73,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectTargetFacetArray","doc":"Derive an array of built target facets from the store. "},"Lake.BuildStore.collectSharedExternLibs":{"sourceLink":"https://example.com#L86-L88","name":"Lake.BuildStore.collectSharedExternLibs","line":86,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectSharedExternLibs","doc":"Derive an array of built external shared libraries from the store. "},"Lake.BuildStore.collectPackageFacetArray":{"sourceLink":"https://example.com#L60-L70","name":"Lake.BuildStore.collectPackageFacetArray","line":60,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectPackageFacetArray","doc":"Derive an array of built package facets from the store. "},"Lake.BuildStore.collectModuleFacetMap":{"sourceLink":"https://example.com#L47-L57","name":"Lake.BuildStore.collectModuleFacetMap","line":47,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetMap","doc":"Derive a map of module names to built facets from the store. "},"Lake.BuildStore.collectModuleFacetArray":{"sourceLink":"https://example.com#L34-L44","name":"Lake.BuildStore.collectModuleFacetArray","line":34,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetArray","doc":"Derive an array of built module facets from the store. "},"Lake.BuildStore":{"sourceLink":"https://example.com#L23-L24","name":"Lake.BuildStore","line":23,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore","doc":"The type of the Lake build store. "},"Lake.BuildM.run":{"sourceLink":"https://example.com#L49-L50","name":"Lake.BuildM.run","line":49,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.run","doc":""},"Lake.BuildM.catchFailure":{"sourceLink":"https://example.com#L52-L53","name":"Lake.BuildM.catchFailure","line":52,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.catchFailure","doc":""},"Lake.BuildM":{"sourceLink":"https://example.com#L32-L32","name":"Lake.BuildM","line":32,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM","doc":"The core monad for Lake builds. "},"Lake.BuildKey.toString":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildKey.toString","line":20,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.toString","doc":""},"Lake.BuildKey.targetFacet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.BuildKey.targetFacet","line":14,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.targetFacet","doc":""},"Lake.BuildKey.quickCmp":{"sourceLink":"https://example.com#L28-L62","name":"Lake.BuildKey.quickCmp","line":28,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.quickCmp","doc":""},"Lake.BuildKey.packageFacet":{"sourceLink":"https://example.com#L13-L13","name":"Lake.BuildKey.packageFacet","line":13,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.packageFacet","doc":""},"Lake.BuildKey.moduleFacet":{"sourceLink":"https://example.com#L12-L12","name":"Lake.BuildKey.moduleFacet","line":12,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.moduleFacet","doc":""},"Lake.BuildKey.instToStringBuildKey":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildKey.instToStringBuildKey","line":26,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instToStringBuildKey","doc":""},"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","line":102,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","doc":""},"Lake.BuildKey.eq_of_quickCmp":{"sourceLink":"https://example.com#L64-L100","name":"Lake.BuildKey.eq_of_quickCmp","line":64,"kind":"theorem","docLink":"./Lake/Build/Key.html#Lake.BuildKey.eq_of_quickCmp","doc":""},"Lake.BuildKey.customTarget":{"sourceLink":"https://example.com#L15-L15","name":"Lake.BuildKey.customTarget","line":15,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.customTarget","doc":""},"Lake.BuildKey":{"sourceLink":"https://example.com#L11-L16","name":"Lake.BuildKey","line":11,"kind":"inductive","docLink":"./Lake/Build/Key.html#Lake.BuildKey","doc":"The type of keys in the Lake build store. "},"Lake.BuildJob.toJob":{"sourceLink":"https://example.com#L54-L55","name":"Lake.BuildJob.toJob","line":54,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.toJob","doc":""},"Lake.BuildJob.seqWithAsync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildJob.seqWithAsync","line":102,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.seqWithAsync","doc":""},"Lake.BuildJob.pure":{"sourceLink":"https://example.com#L60-L61","name":"Lake.BuildJob.pure","line":60,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.pure","doc":""},"Lake.BuildJob.ofJob":{"sourceLink":"https://example.com#L51-L52","name":"Lake.BuildJob.ofJob","line":51,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.ofJob","doc":""},"Lake.BuildJob.nil":{"sourceLink":"https://example.com#L57-L58","name":"Lake.BuildJob.nil","line":57,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.nil","doc":""},"Lake.BuildJob.mk":{"sourceLink":"https://example.com#L48-L49","name":"Lake.BuildJob.mk","line":48,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mk","doc":""},"Lake.BuildJob.mixList":{"sourceLink":"https://example.com#L94-L96","name":"Lake.BuildJob.mixList","line":94,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixList","doc":""},"Lake.BuildJob.mixArray":{"sourceLink":"https://example.com#L98-L100","name":"Lake.BuildJob.mixArray","line":98,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixArray","doc":""},"Lake.BuildJob.mix":{"sourceLink":"https://example.com#L91-L92","name":"Lake.BuildJob.mix","line":91,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mix","doc":""},"Lake.BuildJob.materialize":{"sourceLink":"https://example.com#L88-L89","name":"Lake.BuildJob.materialize","line":88,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.materialize","doc":""},"Lake.BuildJob.mapWithTrace":{"sourceLink":"https://example.com#L71-L72","name":"Lake.BuildJob.mapWithTrace","line":71,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mapWithTrace","doc":""},"Lake.BuildJob.map":{"sourceLink":"https://example.com#L65-L66","name":"Lake.BuildJob.map","line":65,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.map","doc":""},"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob":{"sourceLink":"https://example.com#L106-L106","name":"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","line":106,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","doc":""},"Lake.BuildJob.instPureBuildJob":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BuildJob.instPureBuildJob","line":63,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instPureBuildJob","doc":""},"Lake.BuildJob.instFunctorBuildJob":{"sourceLink":"https://example.com#L68-L69","name":"Lake.BuildJob.instFunctorBuildJob","line":68,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instFunctorBuildJob","doc":""},"Lake.BuildJob.instAwaitBuildJobResultM":{"sourceLink":"https://example.com#L86-L86","name":"Lake.BuildJob.instAwaitBuildJobResultM","line":86,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instAwaitBuildJobResultM","doc":""},"Lake.BuildJob.collectList":{"sourceLink":"https://example.com#L108-L109","name":"Lake.BuildJob.collectList","line":108,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectList","doc":""},"Lake.BuildJob.collectArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.BuildJob.collectArray","line":111,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectArray","doc":""},"Lake.BuildJob.bindSync":{"sourceLink":"https://example.com#L74-L77","name":"Lake.BuildJob.bindSync","line":74,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindSync","doc":""},"Lake.BuildJob.bindAsync":{"sourceLink":"https://example.com#L79-L81","name":"Lake.BuildJob.bindAsync","line":79,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindAsync","doc":""},"Lake.BuildJob.await":{"sourceLink":"https://example.com#L83-L84","name":"Lake.BuildJob.await","line":83,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.await","doc":""},"Lake.BuildJob":{"sourceLink":"https://example.com#L44-L44","name":"Lake.BuildJob","line":44,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob","doc":"A Lake build job. "},"Lake.BuildInfo.target":{"sourceLink":"https://example.com#L30-L30","name":"Lake.BuildInfo.target","line":30,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.target","doc":""},"Lake.BuildInfo.staticExternLib":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BuildInfo.staticExternLib","line":27,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.staticExternLib","doc":""},"Lake.BuildInfo.sharedExternLib":{"sourceLink":"https://example.com#L28-L28","name":"Lake.BuildInfo.sharedExternLib","line":28,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.sharedExternLib","doc":""},"Lake.BuildInfo.packageFacet":{"sourceLink":"https://example.com#L24-L24","name":"Lake.BuildInfo.packageFacet","line":24,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.packageFacet","doc":""},"Lake.BuildInfo.moduleFacet":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildInfo.moduleFacet","line":23,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.moduleFacet","doc":""},"Lake.BuildInfo.libraryFacet":{"sourceLink":"https://example.com#L25-L25","name":"Lake.BuildInfo.libraryFacet","line":25,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.libraryFacet","doc":""},"Lake.BuildInfo.leanExe":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildInfo.leanExe","line":26,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.leanExe","doc":""},"Lake.BuildInfo.key":{"sourceLink":"https://example.com#L65-L73","name":"Lake.BuildInfo.key","line":65,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.key","doc":"The key that identifies the build in the Lake build store. "},"Lake.BuildInfo.fetch":{"sourceLink":"https://example.com#L128-L129","name":"Lake.BuildInfo.fetch","line":128,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.fetch","doc":"Fetch the result associated with the info using the Lake build index. "},"Lake.BuildInfo.dynlibExternLib":{"sourceLink":"https://example.com#L29-L29","name":"Lake.BuildInfo.dynlibExternLib","line":29,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.dynlibExternLib","doc":""},"Lake.BuildInfo.build":{"sourceLink":"https://example.com#L96-L98","name":"Lake.BuildInfo.build","line":96,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.BuildInfo.build","doc":"Build the given Lake target in a fresh build store. "},"Lake.BuildInfo":{"sourceLink":"https://example.com#L22-L30","name":"Lake.BuildInfo","line":22,"kind":"inductive","docLink":"./Lake/Build/Info.html#Lake.BuildInfo","doc":"The type of Lake's build info. "},"Lake.BuildData":{"sourceLink":"https://example.com#L80-L84","name":"Lake.BuildData","line":80,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.BuildData","doc":"A mapping between a build key and its associated build data in the store.\nIt is a simple type function composed of the separate open type families for\nmodules facets, package facets, Lake target facets, and custom targets.\n"},"Lake.BuildCycleT":{"sourceLink":"https://example.com#L41-L41","name":"Lake.BuildCycleT","line":41,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycleT","doc":"A transformer for monads that may encounter a build cycle. "},"Lake.BuildCycle":{"sourceLink":"https://example.com#L38-L38","name":"Lake.BuildCycle","line":38,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycle","doc":"A Lake build cycle. "},"Lake.BuildContext.startedBuilds":{"sourceLink":"https://example.com#L22-L22","name":"Lake.BuildContext.startedBuilds","line":22,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.startedBuilds","doc":""},"Lake.BuildContext.oldMode":{"sourceLink":"https://example.com#L21-L21","name":"Lake.BuildContext.oldMode","line":21,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.oldMode","doc":""},"Lake.BuildContext.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildContext.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Context.html#Lake.BuildContext.mk","doc":""},"Lake.BuildContext.leanTrace":{"sourceLink":"https://example.com#L20-L20","name":"Lake.BuildContext.leanTrace","line":20,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.leanTrace","doc":""},"Lake.BuildContext.finishedBuilds":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildContext.finishedBuilds","line":23,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.finishedBuilds","doc":""},"Lake.BuildContext":{"sourceLink":"https://example.com#L19-L23","name":"Lake.BuildContext","line":19,"kind":"structure","docLink":"./Lake/Build/Context.html#Lake.BuildContext","doc":"A Lake context with some additional caching for builds. "},"Lake.BracketedBinder":{"sourceLink":"https://example.com#L42-L42","name":"Lake.BracketedBinder","line":42,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BracketedBinder","doc":""},"Lake.BinderSyntaxView.type":{"sourceLink":"https://example.com#L62-L62","name":"Lake.BinderSyntaxView.type","line":62,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.type","doc":""},"Lake.BinderSyntaxView.modifier?":{"sourceLink":"https://example.com#L64-L64","name":"Lake.BinderSyntaxView.modifier?","line":64,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.modifier?","doc":""},"Lake.BinderSyntaxView.mkBinder":{"sourceLink":"https://example.com#L141-L147","name":"Lake.BinderSyntaxView.mkBinder","line":141,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkBinder","doc":""},"Lake.BinderSyntaxView.mkArgument":{"sourceLink":"https://example.com#L149-L150","name":"Lake.BinderSyntaxView.mkArgument","line":149,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkArgument","doc":""},"Lake.BinderSyntaxView.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BinderSyntaxView.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mk","doc":""},"Lake.BinderSyntaxView.info":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BinderSyntaxView.info","line":63,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.info","doc":""},"Lake.BinderSyntaxView.id":{"sourceLink":"https://example.com#L61-L61","name":"Lake.BinderSyntaxView.id","line":61,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.id","doc":""},"Lake.BinderSyntaxView":{"sourceLink":"https://example.com#L60-L64","name":"Lake.BinderSyntaxView","line":60,"kind":"structure","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView","doc":""},"Lake.BinderModifier":{"sourceLink":"https://example.com#L55-L55","name":"Lake.BinderModifier","line":55,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderModifier","doc":""},"Lake.BinderIdent":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BinderIdent","line":27,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderIdent","doc":""},"Lake.Binder":{"sourceLink":"https://example.com#L51-L51","name":"Lake.Binder","line":51,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Binder","doc":""},"Lake.BindSync.mk":{"sourceLink":"https://example.com#L102-L102","name":"Lake.BindSync.mk","line":102,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindSync.mk","doc":""},"Lake.BindSync.bindSync":{"sourceLink":"https://example.com#L104-L104","name":"Lake.BindSync.bindSync","line":104,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindSync.bindSync","doc":"Perform a synchronous action after another (a)synchronous task completes successfully. "},"Lake.BindSync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BindSync","line":102,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindSync","doc":""},"Lake.BindAsync.mk":{"sourceLink":"https://example.com#L108-L108","name":"Lake.BindAsync.mk","line":108,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindAsync.mk","doc":""},"Lake.BindAsync.bindAsync":{"sourceLink":"https://example.com#L110-L110","name":"Lake.BindAsync.bindAsync","line":110,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindAsync.bindAsync","doc":"Perform a asynchronous task after another (a)synchronous task completes successfully. "},"Lake.BindAsync":{"sourceLink":"https://example.com#L108-L110","name":"Lake.BindAsync","line":108,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindAsync","doc":""},"Lake.BaseIOTask":{"sourceLink":"https://example.com#L16-L16","name":"Lake.BaseIOTask","line":16,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.BaseIOTask","doc":""},"Lake.Await.mk":{"sourceLink":"https://example.com#L40-L40","name":"Lake.Await.mk","line":40,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Await.mk","doc":""},"Lake.Await.await":{"sourceLink":"https://example.com#L42-L42","name":"Lake.Await.await","line":42,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Await.await","doc":"Wait for an (a)synchronous task to finish. "},"Lake.Await":{"sourceLink":"https://example.com#L40-L42","name":"Lake.Await","line":40,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Await","doc":""},"Lake.Async.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.Async.mk","line":34,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Async.mk","doc":""},"Lake.Async.async":{"sourceLink":"https://example.com#L36-L36","name":"Lake.Async.async","line":36,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Async.async","doc":"Run the monadic action as an asynchronous task. "},"Lake.Async":{"sourceLink":"https://example.com#L34-L36","name":"Lake.Async","line":34,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Async","doc":""},"Lake.Argument":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Argument","line":15,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Argument","doc":""},"Lake.ApplicativeAsync.mk":{"sourceLink":"https://example.com#L138-L138","name":"Lake.ApplicativeAsync.mk","line":138,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync.mk","doc":""},"Lake.ApplicativeAsync":{"sourceLink":"https://example.com#L138-L142","name":"Lake.ApplicativeAsync","line":138,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync","doc":""},"LT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1078-L1078","name":"LT.mk","line":1078,"kind":"ctor","docLink":"./Init/Prelude.html#LT.mk","doc":""},"LT.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1080-L1080","name":"LT.lt","line":1080,"kind":"def","docLink":"./Init/Prelude.html#LT.lt","doc":"The less-than relation: `x < y` "},"LT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1078-L1080","name":"LT","line":1078,"kind":"class","docLink":"./Init/Prelude.html#LT","doc":"`LT α` is the typeclass which supports the notation `x < y` where `x y : α`."},"LE.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1073-L1073","name":"LE.mk","line":1073,"kind":"ctor","docLink":"./Init/Prelude.html#LE.mk","doc":""},"LE.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1075-L1075","name":"LE.le","line":1075,"kind":"def","docLink":"./Init/Prelude.html#LE.le","doc":"The less-equal relation: `x ≤ y` "},"LE":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1073-L1075","name":"LE","line":1073,"kind":"class","docLink":"./Init/Prelude.html#LE","doc":"`LE α` is the typeclass which supports the notation `x ≤ y` where `x y : α`."},"InvImage.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L123-L124","name":"InvImage.wf","line":123,"kind":"def","docLink":"./Init/WF.html#InvImage.wf","doc":""},"InvImage.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L120-L121","name":"InvImage.accessible","line":120,"kind":"def","docLink":"./Init/WF.html#InvImage.accessible","doc":""},"InvImage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L938-L939","name":"InvImage","line":938,"kind":"def","docLink":"./Init/Core.html#InvImage","doc":"The inverse image of `r : β → β → Prop` by a function `α → β` is the relation\n`s : α → α → Prop` defined by `s a b = r (f a) (f b)`.\n"},"Int.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L333-L335","name":"Int.toNat","line":333,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.toNat","doc":"Turns an integer into a natural number, negative numbers become\n`0`.\n\n```\n#eval (7 : Int).toNat -- 7\n#eval (0 : Int).toNat -- 0\n#eval (-7 : Int).toNat -- 0\n```\n"},"Int.subNatNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L86-L89","name":"Int.subNatNat","line":86,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.subNatNat","doc":"Subtraction of two natural numbers. "},"Int.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L142-L143","name":"Int.sub","line":142,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.sub","doc":"Subtraction of two integers.\n\n```\n#eval (63 : Int) - (6 : Int) -- 57\n#eval (7 : Int) - (0 : Int) -- 7\n#eval (0 : Int) - (7 : Int) -- -7\n```\n\nImplemented by efficient native code. "},"Int.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L170-L172","name":"Int.repr","line":170,"kind":"def","docLink":"./Init/Data/Repr.html#Int.repr","doc":""},"Int.rem_sign_dividend":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"Int.rem":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"Int.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L346-L348","name":"Int.pow","line":346,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.pow","doc":"Power of an integer to some natural number.\n\n```\n#eval (2 : Int) ^ 4 -- 16\n#eval (10 : Int) ^ 0 -- 1\n#eval (0 : Int) ^ 10 -- 0\n#eval (-7 : Int) ^ 3 -- -343\n```\n"},"Int.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L41-L42","name":"Int.ofNat","line":41,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.ofNat","doc":"A natural number is an integer (`0` to `∞`). "},"Int.negSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L43-L45","name":"Int.negSucc","line":43,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.negSucc","doc":"The negation of the successor of a natural number is an integer\n(`-1` to `-∞`). "},"Int.negOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L59-L61","name":"Int.negOfNat","line":59,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.negOfNat","doc":"Negation of a natural number. "},"Int.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L68-L71","name":"Int.neg","line":68,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.neg","doc":"Negation of an integer.\n\nImplemented by efficient native code. "},"Int.natAbs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L242-L245","name":"Int.natAbs","line":242,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.natAbs","doc":"Absolute value (`Nat`) of an integer.\n\n```\n#eval (7 : Int).natAbs -- 7\n#eval (0 : Int).natAbs -- 0\n#eval (-11 : Int).natAbs -- 11\n```\n\nImplemented by efficient native code. "},"Int.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L122-L127","name":"Int.mul","line":122,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mul","doc":"Multiplication of two integers.\n\n```\n#eval (63 : Int) * (6 : Int) -- 378\n#eval (6 : Int) * (-6 : Int) -- -36\n#eval (7 : Int) * (0 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L315-L319","name":"Int.mod","line":315,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mod","doc":"Integer modulo. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention\nto pair with `Int.div`, meaning that `a % b + b * (a / b) = a`\nunconditionally (see [`Int.mod_add_div`][theo mod_add_div]). In\nparticular, `a % 0 = a`.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) % (0 : Int) -- 7\n#eval (0 : Int) % (7 : Int) -- 0\n\n#eval (12 : Int) % (6 : Int) -- 0\n#eval (12 : Int) % (-6 : Int) -- 0\n#eval (-12 : Int) % (6 : Int) -- 0\n#eval (-12 : Int) % (-6 : Int) -- 0\n\n#eval (12 : Int) % (7 : Int) -- 5\n#eval (12 : Int) % (-7 : Int) -- 5\n#eval (-12 : Int) % (7 : Int) -- 2\n#eval (-12 : Int) % (-7 : Int) -- 2\n```\n\nImplemented by efficient native code. "},"Int.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L160-L160","name":"Int.lt","line":160,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.lt","doc":"Definition of `a < b`, encoded as `a + 1 ≤ b`. "},"Int.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L154-L154","name":"Int.le","line":154,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.le","doc":"Definition of `a ≤ b`, encoded as `b - a ≥ 0`. "},"Int.instSubInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L145-L146","name":"Int.instSubInt","line":145,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instSubInt","doc":""},"Int.instNegInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L82-L83","name":"Int.instNegInt","line":82,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instNegInt","doc":""},"Int.instMulInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L129-L130","name":"Int.instMulInt","line":129,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMulInt","doc":""},"Int.instModInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L321-L322","name":"Int.instModInt","line":321,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instModInt","doc":""},"Int.instMinInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L357-L357","name":"Int.instMinInt","line":357,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMinInt","doc":""},"Int.instMaxInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L359-L359","name":"Int.instMaxInt","line":359,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMaxInt","doc":""},"Int.instLawfulBEqIntInstBEqInstDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L353-L355","name":"Int.instLawfulBEqIntInstBEqInstDecidableEqInt","line":353,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLawfulBEqIntInstBEqInstDecidableEqInt","doc":""},"Int.instLTInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L162-L163","name":"Int.instLTInt","line":162,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLTInt","doc":""},"Int.instLEInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L156-L157","name":"Int.instLEInt","line":156,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLEInt","doc":""},"Int.instInhabitedInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L56-L56","name":"Int.instInhabitedInt","line":56,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instInhabitedInt","doc":""},"Int.instHPowIntNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L350-L351","name":"Int.instHPowIntNat","line":350,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instHPowIntNat","doc":""},"Int.instDivInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L284-L285","name":"Int.instDivInt","line":284,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDivInt","doc":""},"Int.instDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L187-L187","name":"Int.instDecidableEqInt","line":187,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDecidableEqInt","doc":""},"Int.instAddInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L108-L109","name":"Int.instAddInt","line":108,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instAddInt","doc":""},"Int.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L278-L282","name":"Int.div","line":278,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.div","doc":"Integer division. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention,\nmeaning that it rounds toward zero. Also note that division by zero\nis defined to equal zero.\n\nThe relation between integer division and modulo is found in [the\n`Int.mod_add_div` theorem in std][theo mod_add_div] which states\nthat `a % b + b * (a / b) = a`, unconditionally.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) / (0 : Int) -- 0\n#eval (0 : Int) / (7 : Int) -- 0\n\n#eval (12 : Int) / (6 : Int) -- 2\n#eval (12 : Int) / (-6 : Int) -- -2\n#eval (-12 : Int) / (6 : Int) -- -2\n#eval (-12 : Int) / (-6 : Int) -- 2\n\n#eval (12 : Int) / (7 : Int) -- 1\n#eval (12 : Int) / (-7 : Int) -- -1\n#eval (-12 : Int) / (7 : Int) -- -1\n#eval (-12 : Int) / (-7 : Int) -- 1\n```\n\nImplemented by efficient native code. "},"Int.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L228-L229","name":"Int.decLt","line":228,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLt","doc":"Decides whether `a < b`.\n\n```\n#eval `¬ ( (7 : Int) < 0 )` -- true\n#eval `¬ ( (0 : Int) < 0 )` -- true\n#eval `(7 : Int) < 10` -- true\n```\n\nImplemented by efficient native code. "},"Int.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L215-L216","name":"Int.decLe","line":215,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLe","doc":"Decides whether `a ≤ b`.\n\n```\n#eval ¬ ( (7 : Int) ≤ (0 : Int) ) -- true\n#eval (0 : Int) ≤ (0 : Int) -- true\n#eval (7 : Int) ≤ (10 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L176-L185","name":"Int.decEq","line":176,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.decEq","doc":"Decides equality between two `Int`s.\n\n```\n#eval (7 : Int) = (3 : Int) + (4 : Int) -- true\n#eval (6 : Int) = (3 : Int) * (2 : Int) -- true\n#eval ¬ (6 : Int) = (3 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L101-L106","name":"Int.add","line":101,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.add","doc":"Addition of two integers.\n\n```\n#eval (7 : Int) + (6 : Int) -- 13\n#eval (6 : Int) + (-6 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.NonNeg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L150-L151","name":"Int.NonNeg.mk","line":150,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg.mk","doc":"Sole constructor, proving that `ofNat n` is positive. "},"Int.NonNeg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L149-L151","name":"Int.NonNeg","line":149,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg","doc":"A proof that an `Int` is non-negative. "},"Int":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Int/Basic.lean#L40-L45","name":"Int","line":40,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int","doc":"The type of integers. It is defined as an inductive type based on the\nnatural number type `Nat` featuring two constructors: \"a natural\nnumber is an integer\", and \"the negation of a successor of a natural\nnumber is an integer\". The former represents integers between `0`\n(inclusive) and `∞`, and the latter integers between `-∞` and `-1`\n(inclusive).\n\nThis type is special-cased by the compiler. The runtime has a special\nrepresentation for `Int` which stores \"small\" signed numbers directly,\nand larger numbers use an arbitrary precision \"bignum\" library\n(usually [GMP](https://gmplib.org/)). A \"small number\" is an integer\nthat can be encoded with 63 bits (31 bits on 32-bits 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No sign interpretation is necessary or performed.\nne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"InstCombine.Bitvec.width":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"InstCombine.BaseType.bitvec":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"InstCombine.BaseType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"Inhabited.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L670-L670","name":"Inhabited.mk","line":670,"kind":"ctor","docLink":"./Init/Prelude.html#Inhabited.mk","doc":""},"Inhabited.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L674-L674","name":"Inhabited.default","line":674,"kind":"def","docLink":"./Init/Prelude.html#Inhabited.default","doc":"`default` is a function that produces a \"default\" element of any\n`Inhabited` type. This element does not have any particular specified\nproperties, but it is often an all-zeroes value. "},"Inhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L670-L674","name":"Inhabited","line":670,"kind":"class","docLink":"./Init/Prelude.html#Inhabited","doc":"`Inhabited α` is a typeclass that says that `α` has a designated element,\ncalled `(default : α)`. This is sometimes referred to as a \"pointed type\".\n\nThis class is used by functions that need to return a value of the type\nwhen called \"out of domain\". For example, `Array.get! arr i : α` returns\na value of type `α` when `arr : Array α`, but if `i` is not in range of\nthe array, it reports a panic message, but this does not halt the program,\nso it must still return a value of type `α` (and in fact this is required\nfor logical consistency), so in this case it returns `default`.\n"},"Index":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"Iff.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L666-L669","name":"Iff.trans","line":666,"kind":"theorem","docLink":"./Init/Core.html#Iff.trans","doc":""},"Iff.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L671-L672","name":"Iff.symm","line":671,"kind":"theorem","docLink":"./Init/Core.html#Iff.symm","doc":""},"Iff.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1175-L1176","name":"Iff.subst","line":1175,"kind":"theorem","docLink":"./Init/Core.html#Iff.subst","doc":"Iff can now be used to do substitutions in a calculation "},"Iff.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L663-L664","name":"Iff.rfl","line":663,"kind":"theorem","docLink":"./Init/Core.html#Iff.rfl","doc":""},"Iff.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L660-L661","name":"Iff.refl","line":660,"kind":"theorem","docLink":"./Init/Core.html#Iff.refl","doc":""},"Iff.of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L677-L678","name":"Iff.of_eq","line":677,"kind":"theorem","docLink":"./Init/Core.html#Iff.of_eq","doc":""},"Iff.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L92-L92","name":"Iff.mpr","line":92,"kind":"def","docLink":"./Init/Core.html#Iff.mpr","doc":"Modus ponens for if and only if, reversed. If `a ↔ b` and `b`, then `a`. "},"Iff.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L90-L90","name":"Iff.mp","line":90,"kind":"def","docLink":"./Init/Core.html#Iff.mp","doc":"Modus ponens for if and only if. If `a ↔ b` and `a`, then `b`. "},"Iff.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L88-L88","name":"Iff.intro","line":88,"kind":"ctor","docLink":"./Init/Core.html#Iff.intro","doc":"If `a → b` and `b → a` then `a` and `b` are equivalent. "},"Iff.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L674-L675","name":"Iff.comm","line":674,"kind":"theorem","docLink":"./Init/Core.html#Iff.comm","doc":""},"Iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L86-L92","name":"Iff","line":86,"kind":"structure","docLink":"./Init/Core.html#Iff","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"Id.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L27-L27","name":"Id.run","line":27,"kind":"def","docLink":"./Init/Control/Id.html#Id.run","doc":""},"Id.pure_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L93-L93","name":"Id.pure_eq","line":93,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.pure_eq","doc":""},"Id.map_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L91-L91","name":"Id.map_eq","line":91,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.map_eq","doc":""},"Id.instOfNatId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L29-L30","name":"Id.instOfNatId","line":29,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instOfNatId","doc":""},"Id.instMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L18-L21","name":"Id.instMonadId","line":18,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instMonadId","doc":""},"Id.instLawfulMonadIdInstMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L95-L96","name":"Id.instLawfulMonadIdInstMonadId","line":95,"kind":"instance","docLink":"./Init/Control/Lawful.html#Id.instLawfulMonadIdInstMonadId","doc":""},"Id.hasBind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L23-L24","name":"Id.hasBind","line":23,"kind":"def","docLink":"./Init/Control/Id.html#Id.hasBind","doc":""},"Id.finally":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L191-L195","name":"Id.finally","line":191,"kind":"instance","docLink":"./Init/Control/Except.html#Id.finally","doc":""},"Id.bind_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L92-L92","name":"Id.bind_eq","line":92,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.bind_eq","doc":""},"Id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Id.lean#L13-L13","name":"Id","line":13,"kind":"def","docLink":"./Init/Control/Id.html#Id","doc":""},"IO.withStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L513-L518","name":"IO.withStdout","line":513,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdout","doc":""},"IO.withStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L509-L511","name":"IO.withStdin","line":509,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdin","doc":""},"IO.withStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L520-L522","name":"IO.withStderr","line":520,"kind":"def","docLink":"./Init/System/IO.html#IO.withStderr","doc":""},"IO.waitAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L215-L217","name":"IO.waitAny","line":215,"kind":"opaque","docLink":"./Init/System/IO.html#IO.waitAny","doc":"Wait until any of the tasks in the given list has finished, then return its result. "},"IO.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L208-L209","name":"IO.wait","line":208,"kind":"opaque","docLink":"./Init/System/IO.html#IO.wait","doc":"Wait for the task to finish, then return its result. "},"IO.userError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IOError.lean#L57-L58","name":"IO.userError","line":57,"kind":"def","docLink":"./Init/System/IOError.html#IO.userError","doc":""},"IO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L77-L78","name":"IO.toEIO","line":77,"kind":"def","docLink":"./Init/System/IO.html#IO.toEIO","doc":""},"IO.throwServerError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L15-L16","name":"IO.throwServerError","line":15,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.throwServerError","doc":""},"IO.stdGenRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L115-L117","name":"IO.stdGenRef","line":115,"kind":"opaque","docLink":"./Init/Data/Random.html#IO.stdGenRef","doc":""},"IO.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L178-L180","name":"IO.sleep","line":178,"kind":"def","docLink":"./Init/System/IO.html#IO.sleep","doc":""},"IO.setStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L316-L316","name":"IO.setStdout","line":316,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdout","doc":"Replaces the stdout stream of the current thread and returns its previous value. "},"IO.setStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L314-L314","name":"IO.setStdin","line":314,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdin","doc":"Replaces the stdin stream of the current thread and returns its previous value. "},"IO.setStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L318-L318","name":"IO.setStderr","line":318,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStderr","doc":"Replaces the stderr stream of the current thread and returns its previous value. "},"IO.setRandSeed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L119-L120","name":"IO.setRandSeed","line":119,"kind":"def","docLink":"./Init/Data/Random.html#IO.setRandSeed","doc":""},"IO.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L685-L686","name":"IO.setAccessRights","line":685,"kind":"def","docLink":"./Init/System/IO.html#IO.setAccessRights","doc":""},"IO.rand":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Random.lean#L122-L126","name":"IO.rand","line":122,"kind":"def","docLink":"./Init/Data/Random.html#IO.rand","doc":""},"IO.println":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L528-L529","name":"IO.println","line":528,"kind":"def","docLink":"./Init/System/IO.html#IO.println","doc":""},"IO.print":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L524-L526","name":"IO.print","line":524,"kind":"def","docLink":"./Init/System/IO.html#IO.print","doc":""},"IO.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L160-L163","name":"IO.ofExcept","line":160,"kind":"def","docLink":"./Init/System/IO.html#IO.ofExcept","doc":""},"IO.monoNanosNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L172-L172","name":"IO.monoNanosNow","line":172,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoNanosNow","doc":"Monotonically increasing time since an unspecified past point in nanoseconds. No relation to wall clock time. "},"IO.monoMsNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L169-L169","name":"IO.monoMsNow","line":169,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoMsNow","doc":"Monotonically increasing time since an unspecified past point in milliseconds. No relation to wall clock time. "},"IO.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L693-L694","name":"IO.mkRef","line":693,"kind":"def","docLink":"./Init/System/IO.html#IO.mkRef","doc":""},"IO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L195-L196","name":"IO.mapTasks","line":195,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTasks","doc":"`IO` specialization of `EIO.mapTasks`. "},"IO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L187-L188","name":"IO.mapTask","line":187,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTask","doc":"`IO` specialization of `EIO.mapTask`. "},"IO.lazyPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L165-L166","name":"IO.lazyPure","line":165,"kind":"def","docLink":"./Init/System/IO.html#IO.lazyPure","doc":""},"IO.iterate":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L320-L324","name":"IO.iterate","line":320,"kind":"opaque","docLink":"./Init/System/IO.html#IO.iterate","doc":""},"IO.instNonemptyPromise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L31-L32","name":"IO.instNonemptyPromise","line":31,"kind":"instance","docLink":"./Init/System/Promise.html#IO.instNonemptyPromise","doc":""},"IO.instNonemptyMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L84-L84","name":"IO.instNonemptyMutex","line":84,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyMutex","doc":""},"IO.instNonemptyCondvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L50-L50","name":"IO.instNonemptyCondvar","line":50,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyCondvar","doc":""},"IO.instNonemptyChannel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L32-L33","name":"IO.instNonemptyChannel","line":32,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instNonemptyChannel","doc":""},"IO.instNonemptyBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L21-L21","name":"IO.instNonemptyBaseMutex","line":21,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyBaseMutex","doc":""},"IO.instMonadLiftSTRealWorldBaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L691-L691","name":"IO.instMonadLiftSTRealWorldBaseIO","line":691,"kind":"instance","docLink":"./Init/System/IO.html#IO.instMonadLiftSTRealWorldBaseIO","doc":""},"IO.instInhabitedError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IOError.lean#L54-L54","name":"IO.instInhabitedError","line":54,"kind":"instance","docLink":"./Init/System/IOError.html#IO.instInhabitedError","doc":""},"IO.instForInSync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L134-L135","name":"IO.instForInSync","line":134,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instForInSync","doc":"`for msg in ch.sync do ...` receives all messages in the channel until it is closed. "},"IO.instCoeOutMutexBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L86-L86","name":"IO.instCoeOutMutexBaseMutex","line":86,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instCoeOutMutexBaseMutex","doc":""},"IO.initializing":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L102-L102","name":"IO.initializing","line":102,"kind":"opaque","docLink":"./Init/System/IO.html#IO.initializing","doc":"Programs can execute IO actions during initialization that occurs before\nthe `main` function is executed. The attribute `[init ]` specifies\nwhich IO action is executed to set the value of an opaque constant.\n\nThe action `initializing` returns `true` iff it is invoked during initialization. "},"IO.hasFinished":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L205-L205","name":"IO.hasFinished","line":205,"kind":"opaque","docLink":"./Init/System/IO.html#IO.hasFinished","doc":"Check if the task has finished execution, at which point calling `Task.get` will return immediately. "},"IO.getStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L310-L310","name":"IO.getStdout","line":310,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdout","doc":""},"IO.getStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L309-L309","name":"IO.getStdin","line":309,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdin","doc":""},"IO.getStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L311-L311","name":"IO.getStderr","line":311,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStderr","doc":""},"IO.getRandomBytes":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L176-L176","name":"IO.getRandomBytes","line":176,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getRandomBytes","doc":"Read bytes from a system entropy source. Not guaranteed to be cryptographically secure.\nIf `nBytes = 0`, return immediately with an empty buffer. "},"IO.getNumHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L220-L220","name":"IO.getNumHeartbeats","line":220,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getNumHeartbeats","doc":"Helper method for implementing \"deterministic\" timeouts. It is the number of \"small\" memory allocations performed by the current execution thread. "},"IO.getEnv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L366-L366","name":"IO.getEnv","line":366,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getEnv","doc":""},"IO.eprintln":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L535-L536","name":"IO.eprintln","line":535,"kind":"def","docLink":"./Init/System/IO.html#IO.eprintln","doc":""},"IO.eprint":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L531-L533","name":"IO.eprint","line":531,"kind":"def","docLink":"./Init/System/IO.html#IO.eprint","doc":""},"IO.currentDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L368-L368","name":"IO.currentDir","line":368,"kind":"opaque","docLink":"./Init/System/IO.html#IO.currentDir","doc":""},"IO.checkCanceled":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L199-L199","name":"IO.checkCanceled","line":199,"kind":"opaque","docLink":"./Init/System/IO.html#IO.checkCanceled","doc":"Check if the task's cancellation flag has been set by calling `IO.cancel` or dropping the last reference to the task. "},"IO.cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L202-L202","name":"IO.cancel","line":202,"kind":"opaque","docLink":"./Init/System/IO.html#IO.cancel","doc":"Request cooperative cancellation of the task. The task must explicitly call `IO.checkCanceled` to react to the cancellation. "},"IO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L191-L192","name":"IO.bindTask","line":191,"kind":"def","docLink":"./Init/System/IO.html#IO.bindTask","doc":"`IO` specialization of `EIO.bindTask`. "},"IO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L183-L184","name":"IO.asTask","line":183,"kind":"def","docLink":"./Init/System/IO.html#IO.asTask","doc":"`IO` specialization of `EIO.asTask`. "},"IO.appPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L367-L367","name":"IO.appPath","line":367,"kind":"opaque","docLink":"./Init/System/IO.html#IO.appPath","doc":""},"IO.appDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L546-L550","name":"IO.appDir","line":546,"kind":"def","docLink":"./Init/System/IO.html#IO.appDir","doc":""},"IO.Ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L689-L689","name":"IO.Ref","line":689,"kind":"def","docLink":"./Init/System/IO.html#IO.Ref","doc":"References "},"IO.RealWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L23-L23","name":"IO.RealWorld","line":23,"kind":"def","docLink":"./Init/System/IO.html#IO.RealWorld","doc":"Like .\nMakes sure we never reorder `IO` operations.\n\nTODO: mark opaque "},"IO.Promise.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L55-L57","name":"IO.Promise.result","line":55,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.result","doc":"The result task of a `Promise`.\n\nThe task blocks until `Promise.resolve` is called.\n"},"IO.Promise.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L44-L44","name":"IO.Promise.resolve","line":44,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.resolve","doc":"Resolves a `Promise`.\n\nOnly the first call to this function has an effect.\n"},"IO.Promise.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L36-L36","name":"IO.Promise.new","line":36,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.new","doc":"Creates a new `Promise`. "},"IO.Promise":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Promise.lean#L29-L29","name":"IO.Promise","line":29,"kind":"def","docLink":"./Init/System/Promise.html#IO.Promise","doc":"`Promise α` allows you to create a `Task α` whose value is provided later by calling `resolve`.\n\nTypical usage is as follows:\n1. `let promise ← Promise.new` creates a promise\n2. `promise.result : Task α` can now be passed around\n3. `promise.result.get` blocks until the promise is resolved\n4. `promise.resolve a` resolves the promise\n5. `promise.result.get` now returns `a`\n\nEvery promise must eventually be resolved.\nOtherwise the memory used for the promise will be leaked,\nand any tasks depending on the promise's result will wait forever.\n"},"IO.Process.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L619-L619","name":"IO.Process.spawn","line":619,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.spawn","doc":""},"IO.Process.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L651-L655","name":"IO.Process.run","line":651,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.run","doc":"Run process to completion and return stdout on success. "},"IO.Process.output":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L642-L648","name":"IO.Process.output","line":642,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.output","doc":"Run process to completion and capture output. "},"IO.Process.getPID":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L581-L581","name":"IO.Process.getPID","line":581,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.getPID","doc":"Returns the process ID of the current process. "},"IO.Process.exit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L657-L657","name":"IO.Process.exit","line":657,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.exit","doc":""},"IO.Process.StdioConfig.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L597-L597","name":"IO.Process.StdioConfig.stdout","line":597,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdout","doc":"Configuration for the process' stdout handle. "},"IO.Process.StdioConfig.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L595-L595","name":"IO.Process.StdioConfig.stdin","line":595,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdin","doc":"Configuration for the process' stdin handle. "},"IO.Process.StdioConfig.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L599-L599","name":"IO.Process.StdioConfig.stderr","line":599,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stderr","doc":"Configuration for the process' stderr handle. "},"IO.Process.StdioConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.StdioConfig.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.mk","doc":""},"IO.Process.StdioConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L593-L599","name":"IO.Process.StdioConfig","line":593,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.StdioConfig","doc":""},"IO.Process.Stdio.toHandleType":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L588-L591","name":"IO.Process.Stdio.toHandleType","line":588,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Stdio.toHandleType","doc":""},"IO.Process.Stdio.piped":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L584-L584","name":"IO.Process.Stdio.piped","line":584,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.piped","doc":""},"IO.Process.Stdio.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L586-L586","name":"IO.Process.Stdio.null","line":586,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.null","doc":""},"IO.Process.Stdio.inherit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L585-L585","name":"IO.Process.Stdio.inherit","line":585,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.inherit","doc":""},"IO.Process.Stdio":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L583-L586","name":"IO.Process.Stdio","line":583,"kind":"inductive","docLink":"./Init/System/IO.html#IO.Process.Stdio","doc":""},"IO.Process.SpawnArgs.setsid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L611-L611","name":"IO.Process.SpawnArgs.setsid","line":611,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.setsid","doc":"Start process in new session and process group using `setsid`. Currently a no-op on non-POSIX platforms. "},"IO.Process.SpawnArgs.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.SpawnArgs.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.mk","doc":""},"IO.Process.SpawnArgs.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L609-L609","name":"IO.Process.SpawnArgs.env","line":609,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.env","doc":"Add or remove environment variables for the process. "},"IO.Process.SpawnArgs.cwd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L607-L607","name":"IO.Process.SpawnArgs.cwd","line":607,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cwd","doc":"Working directory for the process. Inherit from current process if `none`. "},"IO.Process.SpawnArgs.cmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L603-L603","name":"IO.Process.SpawnArgs.cmd","line":603,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cmd","doc":"Command name. "},"IO.Process.SpawnArgs.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L605-L605","name":"IO.Process.SpawnArgs.args","line":605,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.args","doc":"Arguments for the process "},"IO.Process.SpawnArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L601-L611","name":"IO.Process.SpawnArgs","line":601,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs","doc":""},"IO.Process.Output.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L638-L638","name":"IO.Process.Output.stdout","line":638,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stdout","doc":""},"IO.Process.Output.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L639-L639","name":"IO.Process.Output.stderr","line":639,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stderr","doc":""},"IO.Process.Output.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.Process.Output.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Output.mk","doc":""},"IO.Process.Output.exitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L637-L637","name":"IO.Process.Output.exitCode","line":637,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.exitCode","doc":""},"IO.Process.Output":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L636-L639","name":"IO.Process.Output","line":636,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Output","doc":""},"IO.Process.Child.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L621-L621","name":"IO.Process.Child.wait","line":621,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.wait","doc":""},"IO.Process.Child.takeStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L633-L634","name":"IO.Process.Child.takeStdin","line":633,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.takeStdin","doc":"Extract the `stdin` field from a `Child` object, allowing them to be freed independently.\nThis operation is necessary for closing the child process' stdin while still holding on to a process handle,\ne.g. for `Child.wait`. A file handle is closed when all references to it are dropped, which without this\noperation includes the `Child` object.\n"},"IO.Process.Child.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L616-L616","name":"IO.Process.Child.stdout","line":616,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdout","doc":""},"IO.Process.Child.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L615-L615","name":"IO.Process.Child.stdin","line":615,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdin","doc":""},"IO.Process.Child.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L617-L617","name":"IO.Process.Child.stderr","line":617,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stderr","doc":""},"IO.Process.Child.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L614-L614","name":"IO.Process.Child.mk","line":614,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Child.mk","doc":""},"IO.Process.Child.kill":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L625-L625","name":"IO.Process.Child.kill","line":625,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.kill","doc":"Terminates the child process using the SIGTERM signal or a platform analogue.\nIf the process was started using `SpawnArgs.setsid`, terminates the entire process group instead. "},"IO.Process.Child":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L614-L617","name":"IO.Process.Child","line":614,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Child","doc":""},"IO.Prim.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L683-L683","name":"IO.Prim.setAccessRights","line":683,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Prim.setAccessRights","doc":""},"IO.Mutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L89-L90","name":"IO.Mutex.new","line":89,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.new","doc":"Creates a new mutex. "},"IO.Mutex.mutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L83-L83","name":"IO.Mutex.mutex","line":83,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.mutex","doc":""},"IO.Mutex.atomicallyOnce":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L113-L119","name":"IO.Mutex.atomicallyOnce","line":113,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomicallyOnce","doc":"`mutex.atomicallyOnce condvar pred k` runs `k`,\nwaiting on `condvar` until `pred` returns true.\nBoth `k` and `pred` have access to the mutex's state.\n"},"IO.Mutex.atomically":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L100-L106","name":"IO.Mutex.atomically","line":100,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomically","doc":"`mutex.atomically k` runs `k` with access to the mutex's state while locking the mutex. 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all written outputs with `pre`. "},"IO.FS.Stream.readResponseAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L308-L319","name":"IO.FS.Stream.readResponseAs","line":308,"kind":"opaque","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readResponseAs","doc":""},"IO.FS.Stream.readRequestAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L282-L293","name":"IO.FS.Stream.readRequestAs","line":282,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readRequestAs","doc":""},"IO.FS.Stream.readNotificationAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L295-L306","name":"IO.FS.Stream.readNotificationAs","line":295,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readNotificationAs","doc":""},"IO.FS.Stream.readMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/JsonRpc.lean#L276-L280","name":"IO.FS.Stream.readMessage","line":276,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#IO.FS.Stream.readMessage","doc":""},"IO.FS.Stream.readLspResponseAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L87-L92","name":"IO.FS.Stream.readLspResponseAs","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspResponseAs","doc":""},"IO.FS.Stream.readLspRequestAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L73-L78","name":"IO.FS.Stream.readLspRequestAs","line":73,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspRequestAs","doc":""},"IO.FS.Stream.readLspNotificationAs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L80-L85","name":"IO.FS.Stream.readLspNotificationAs","line":80,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspNotificationAs","doc":""},"IO.FS.Stream.readLspMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Communication.lean#L66-L71","name":"IO.FS.Stream.readLspMessage","line":66,"kind":"def","docLink":"./Lean/Data/Lsp/Communication.html#IO.FS.Stream.readLspMessage","doc":""},"IO.FS.Stream.readJson":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Json/Stream.lean#L18-L21","name":"IO.FS.Stream.readJson","line":18,"kind":"def","docLink":"./Lean/Data/Json/Stream.html#IO.FS.Stream.readJson","doc":"Consumes `nBytes` bytes from the stream, interprets the bytes as a utf-8 string and the string as a valid JSON object. "},"IO.FS.Stream.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L296-L296","name":"IO.FS.Stream.read","line":296,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.read","doc":"Read up to the given number of bytes from the stream.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.putStrLn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L427-L428","name":"IO.FS.Stream.putStrLn","line":427,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStrLn","doc":""},"IO.FS.Stream.putStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L304-L304","name":"IO.FS.Stream.putStr","line":304,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStr","doc":""},"IO.FS.Stream.ofHandle":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L700-L706","name":"IO.FS.Stream.ofHandle","line":700,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofHandle","doc":""},"IO.FS.Stream.ofBuffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L712-L729","name":"IO.FS.Stream.ofBuffer","line":712,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofBuffer","doc":""},"IO.FS.Stream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.mk","doc":""},"IO.FS.Stream.getLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L303-L303","name":"IO.FS.Stream.getLine","line":303,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.getLine","doc":"Read text up to (including) the next line break from the stream.\nIf the returned string is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.flush":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L290-L290","name":"IO.FS.Stream.flush","line":290,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.flush","doc":""},"IO.FS.Stream.chainRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L26-L38","name":"IO.FS.Stream.chainRight","line":26,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainRight","doc":"Chains two streams by creating a new stream s.t. writing to it\njust writes to `a` but reading from it also duplicates the read output\ninto `b`, c.f. `a | tee b` on Unix.\nNB: if `a` is written to but this stream is never read from,\nthe output will *not* be duplicated. Use this if you only care\nabout the data that was actually read. "},"IO.FS.Stream.chainLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/Utils.lean#L41-L51","name":"IO.FS.Stream.chainLeft","line":41,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainLeft","doc":"Like `tee a | b` on Unix. See `chainOut`. "},"IO.FS.Stream.Buffer.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L710-L710","name":"IO.FS.Stream.Buffer.pos","line":710,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.pos","doc":""},"IO.FS.Stream.Buffer.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.Buffer.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.mk","doc":""},"IO.FS.Stream.Buffer.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L709-L709","name":"IO.FS.Stream.Buffer.data","line":709,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.data","doc":""},"IO.FS.Stream.Buffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L708-L710","name":"IO.FS.Stream.Buffer","line":708,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer","doc":""},"IO.FS.Stream":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L289-L305","name":"IO.FS.Stream","line":289,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream","doc":"A pure-Lean abstraction of POSIX streams. We use `Stream`s for the standard streams stdin/stdout/stderr so we can\ncapture output of `#eval` commands into memory. "},"IO.FS.Mode.writeNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L256-L264","name":"IO.FS.Mode.writeNew","line":256,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.writeNew","doc":"New file opened for writing.\nOn open, create a new file with the stream positioned at the start.\nErrors if the file already exists.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC | O_EXCL`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L247-L255","name":"IO.FS.Mode.write","line":247,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.write","doc":"File opened for writing.\nOn open, truncate an existing file to zero length or create a new file.\nThe stream is positioned at the beginning of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.readWrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L265-L273","name":"IO.FS.Mode.readWrite","line":265,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.readWrite","doc":"File opened for reading and writing.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDWR`\n* `fdopen` mode: `r+`\n"},"IO.FS.Mode.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L238-L246","name":"IO.FS.Mode.read","line":238,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.read","doc":"File opened for reading.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDONLY`\n* `fdopen` mode: `r`\n"},"IO.FS.Mode.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L274-L282","name":"IO.FS.Mode.append","line":274,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.append","doc":"File opened for writing.\nOn open, create a new file if it does not exist.\nThe stream is positioned at the end of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_APPEND`\n* `fdopen` mode: `a`\n"},"IO.FS.Mode":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L237-L282","name":"IO.FS.Mode","line":237,"kind":"inductive","docLink":"./Init/System/IO.html#IO.FS.Mode","doc":"The mode of a file handle (i.e., a set of `open` flags and an `fdopen` mode).\n\nAll modes do not translate line endings (i.e., `O_BINARY` on Windows) and\nare not inherited across process creation (i.e., `O_NOINHERIT` on Windows,\n`O_CLOEXEC` elsewhere).\n\n**References:**\n* Windows:\n [`_open`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/open-wopen?view=msvc-170),\n [`_fdopen`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/fdopen-wfdopen?view=msvc-170)\n* Linux:\n [`open`](https://linux.die.net/man/2/open),\n [`fdopen`](https://linux.die.net/man/3/fdopen)\n"},"IO.FS.Metadata.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L458-L458","name":"IO.FS.Metadata.type","line":458,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.type","doc":""},"IO.FS.Metadata.modified":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L456-L456","name":"IO.FS.Metadata.modified","line":456,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.modified","doc":""},"IO.FS.Metadata.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Metadata.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Metadata.mk","doc":""},"IO.FS.Metadata.byteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L457-L457","name":"IO.FS.Metadata.byteSize","line":457,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.byteSize","doc":""},"IO.FS.Metadata.accessed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L455-L455","name":"IO.FS.Metadata.accessed","line":455,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.accessed","doc":""},"IO.FS.Metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L453-L459","name":"IO.FS.Metadata","line":453,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Metadata","doc":""},"IO.FS.Handle.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L338-L338","name":"IO.FS.Handle.write","line":338,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.write","doc":""},"IO.FS.Handle.readToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L389-L394","name":"IO.FS.Handle.readToEnd.loop","line":389,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd.loop","doc":""},"IO.FS.Handle.readToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L388-L395","name":"IO.FS.Handle.readToEnd","line":388,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd","doc":""},"IO.FS.Handle.readBinToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L380-L385","name":"IO.FS.Handle.readBinToEnd.loop","line":380,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd.loop","doc":""},"IO.FS.Handle.readBinToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L379-L386","name":"IO.FS.Handle.readBinToEnd","line":379,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd","doc":""},"IO.FS.Handle.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L337-L337","name":"IO.FS.Handle.read","line":337,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.read","doc":"Read up to the given number of bytes from the handle.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a handle, so further reads may block and return more 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"},"IO.Channel.sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L113-L113","name":"IO.Channel.sync","line":113,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.sync","doc":"Accesses synchronous (blocking) version of channel operations.\n\nFor example, `ch.sync.recv?` blocks until the next message,\nand `for msg in ch.sync do ...` iterates synchronously over the channel.\nThese functions should only be used in dedicated threads.\n"},"IO.Channel.send":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L44-L52","name":"IO.Channel.send","line":44,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.send","doc":"Sends a message on an `Channel`.\n\nThis function does not block.\n"},"IO.Channel.recvAllCurrent":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L99-L101","name":"IO.Channel.recvAllCurrent","line":99,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recvAllCurrent","doc":"Receives all currently queued messages from the channel.\n\nThose messages are dequeued and will not be returned by `recv?`.\n"},"IO.Channel.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L70-L81","name":"IO.Channel.recv?","line":70,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recv?","doc":"Receives a message, without blocking.\nThe returned task waits for the message.\nEvery message is only received once.\n\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L36-L37","name":"IO.Channel.new","line":36,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.new","doc":"Creates a new `Channel`. "},"IO.Channel.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L22-L22","name":"IO.Channel.instInhabitedState","line":22,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.Channel.instInhabitedState","doc":""},"IO.Channel.forAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L88-L92","name":"IO.Channel.forAsync","line":88,"kind":"opaque","docLink":"./Init/Data/Channel.html#IO.Channel.forAsync","doc":"`ch.forAsync f` calls `f` for every messages received on `ch`.\n\nNote that if this function is called twice, each `forAsync` only gets half the messages.\n"},"IO.Channel.close":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L57-L61","name":"IO.Channel.close","line":57,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.close","doc":"Closes an `Channel`.\n"},"IO.Channel.Sync.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L121-L122","name":"IO.Channel.Sync.recv?","line":121,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync.recv?","doc":"Synchronously receives a message from the channel.\n\nEvery message is only received once.\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.Sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L104-L104","name":"IO.Channel.Sync","line":104,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync","doc":"Type tag for synchronous (blocking) operations on a `Channel`. "},"IO.Channel.State.values":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L19-L19","name":"IO.Channel.State.values","line":19,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.values","doc":""},"IO.Channel.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L18-L18","name":"IO.Channel.State.mk","line":18,"kind":"ctor","docLink":"./Init/Data/Channel.html#IO.Channel.State.mk","doc":""},"IO.Channel.State.consumers":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L20-L20","name":"IO.Channel.State.consumers","line":20,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.consumers","doc":""},"IO.Channel.State.closed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L21-L21","name":"IO.Channel.State.closed","line":21,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.closed","doc":""},"IO.Channel.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L18-L22","name":"IO.Channel.State","line":18,"kind":"structure","docLink":"./Init/Data/Channel.html#IO.Channel.State","doc":"Internal state of an `Channel`.\n\nWe maintain the invariant that at all times either `consumers` or `values` is empty.\n"},"IO.Channel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Channel.lean#L30-L30","name":"IO.Channel","line":30,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel","doc":"FIFO channel with unbounded buffer, where `recv?` returns a `Task`.\n\nA channel can be closed. Once it is closed, all `send`s are ignored, and\n`recv?` returns `none` once the queue is empty.\n"},"IO.BaseMutex.unlock":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L43-L43","name":"IO.BaseMutex.unlock","line":43,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.unlock","doc":"Unlocks a `BaseMutex`.\n\nThe current thread must have already locked the mutex.\nUnlocking an unlocked mutex is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L25-L25","name":"IO.BaseMutex.new","line":25,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.new","doc":"Creates a new `BaseMutex`. "},"IO.BaseMutex.lock":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L34-L34","name":"IO.BaseMutex.lock","line":34,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.lock","doc":"Locks a `BaseMutex`. Waits until no other thread has locked the mutex.\n\nThe current thread must not have already locked the mutex.\nReentrant locking is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L19-L19","name":"IO.BaseMutex","line":19,"kind":"def","docLink":"./Init/System/Mutex.html#IO.BaseMutex","doc":"Mutual exclusion primitive (a lock).\n\nIf you want to guard shared state, use `Mutex α` instead.\n"},"IO.AtomicT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/Mutex.lean#L97-L97","name":"IO.AtomicT","line":97,"kind":"def","docLink":"./Init/System/Mutex.html#IO.AtomicT","doc":"`AtomicT α m` is the monad that can be atomically executed inside a `Mutex α`,\nwith outside monad `m`.\nThe action has access to the state `α` of the mutex (via `get` and `set`).\n"},"IO.AsyncList.waitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L70-L80","name":"IO.AsyncList.waitUntil","line":70,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitUntil","doc":"Spawns a `Task` returning the prefix of elements up to (including) the first element for which `p` is true.\nWhen `p` is not true of any element, it returns the entire list. "},"IO.AsyncList.waitHead?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L112-L113","name":"IO.AsyncList.waitHead?","line":112,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitHead?","doc":""},"IO.AsyncList.waitFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L89-L97","name":"IO.AsyncList.waitFind?","line":89,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitFind?","doc":"Spawns a `Task` acting like `List.find?` but which will wait for tail evalution\nwhen necessary to traverse the list. If the tail terminates before a matching element\nis found, the task throws the terminating value. "},"IO.AsyncList.waitAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L83-L84","name":"IO.AsyncList.waitAll","line":83,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitAll","doc":"Spawns a `Task` waiting on all elements. "},"IO.AsyncList.unfoldAsync.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L45-L51","name":"IO.AsyncList.unfoldAsync.step","line":45,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync.step","doc":""},"IO.AsyncList.unfoldAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L43-L54","name":"IO.AsyncList.unfoldAsync","line":43,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync","doc":"A stateful step computation `f` is applied iteratively, forming an async\nstream. The stream ends once `f` returns `none` for the first time.\n\nFor cooperatively cancelling an ongoing computation, we recommend referencing\na cancellation token in `f` and checking it when appropriate. "},"IO.AsyncList.ofList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L33-L34","name":"IO.AsyncList.ofList","line":33,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.ofList","doc":""},"IO.AsyncList.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L19-L19","name":"IO.AsyncList.nil","line":19,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.nil","doc":""},"IO.AsyncList.instInhabitedAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L23-L23","name":"IO.AsyncList.instInhabitedAsyncList","line":23,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instInhabitedAsyncList","doc":""},"IO.AsyncList.instCoeListAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L36-L36","name":"IO.AsyncList.instCoeListAsyncList","line":36,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instCoeListAsyncList","doc":""},"IO.AsyncList.instAppendAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L31-L31","name":"IO.AsyncList.instAppendAsyncList","line":31,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instAppendAsyncList","doc":""},"IO.AsyncList.getFinishedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L100-L110","name":"IO.AsyncList.getFinishedPrefix","line":100,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getFinishedPrefix","doc":"Retrieve the already-computed prefix of the list. If computation has finished with an error, return it as well. "},"IO.AsyncList.getAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L58-L66","name":"IO.AsyncList.getAll","line":58,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getAll","doc":"The computed, synchronous list. If an async tail was present, returns also\nits terminating value. "},"IO.AsyncList.delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L18-L18","name":"IO.AsyncList.delayed","line":18,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.delayed","doc":""},"IO.AsyncList.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L17-L17","name":"IO.AsyncList.cons","line":17,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.cons","doc":""},"IO.AsyncList.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L26-L29","name":"IO.AsyncList.append","line":26,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.append","doc":""},"IO.AsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Server/AsyncList.lean#L16-L19","name":"IO.AsyncList","line":16,"kind":"inductive","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList","doc":"An async IO list is like a lazy list but instead of being *unevaluated* `Thunk`s,\n`delayed` suffixes are `Task`s *being evaluated asynchronously*. A delayed suffix can signal the end\nof computation (successful or due to a failure) with a terminating value of type `ε`. "},"IO.AccessRight.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L663-L663","name":"IO.AccessRight.write","line":663,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.write","doc":""},"IO.AccessRight.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L662-L662","name":"IO.AccessRight.read","line":662,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.read","doc":""},"IO.AccessRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L1-L1","name":"IO.AccessRight.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.AccessRight.mk","doc":""},"IO.AccessRight.flags":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L666-L670","name":"IO.AccessRight.flags","line":666,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.flags","doc":""},"IO.AccessRight.execution":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L664-L664","name":"IO.AccessRight.execution","line":664,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.execution","doc":""},"IO.AccessRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L661-L664","name":"IO.AccessRight","line":661,"kind":"structure","docLink":"./Init/System/IO.html#IO.AccessRight","doc":""},"IO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L66-L66","name":"IO","line":66,"kind":"def","docLink":"./Init/System/IO.html#IO","doc":""},"Hashable.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3347-L3347","name":"Hashable.mk","line":3347,"kind":"ctor","docLink":"./Init/Prelude.html#Hashable.mk","doc":""},"Hashable.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3349-L3349","name":"Hashable.hash","line":3349,"kind":"def","docLink":"./Init/Prelude.html#Hashable.hash","doc":"Hashes the value `a : α` into a `UInt64`. "},"Hashable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3347-L3349","name":"Hashable","line":3347,"kind":"class","docLink":"./Init/Prelude.html#Hashable","doc":"A class for types that can be hashed into a `UInt64`. "},"HasEquiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L338-L338","name":"HasEquiv.mk","line":338,"kind":"ctor","docLink":"./Init/Core.html#HasEquiv.mk","doc":""},"HasEquiv.Equiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L341-L341","name":"HasEquiv.Equiv","line":341,"kind":"def","docLink":"./Init/Core.html#HasEquiv.Equiv","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"HasEquiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L338-L341","name":"HasEquiv","line":338,"kind":"class","docLink":"./Init/Core.html#HasEquiv","doc":"`HasEquiv α` is the typeclass which supports the notation `x ≈ y` where `x y : α`."},"HXor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1234-L1234","name":"HXor.mk","line":1234,"kind":"ctor","docLink":"./Init/Prelude.html#HXor.mk","doc":""},"HXor.hXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1237-L1237","name":"HXor.hXor","line":1237,"kind":"def","docLink":"./Init/Prelude.html#HXor.hXor","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1234-L1237","name":"HXor","line":1234,"kind":"class","docLink":"./Init/Prelude.html#HXor","doc":"The typeclass behind the notation `a ^^^ b : γ` where `a : α`, `b : β`. "},"HSub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1147-L1147","name":"HSub.mk","line":1147,"kind":"ctor","docLink":"./Init/Prelude.html#HSub.mk","doc":""},"HSub.hSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1151-L1151","name":"HSub.hSub","line":1151,"kind":"def","docLink":"./Init/Prelude.html#HSub.hSub","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"HSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1147-L1151","name":"HSub","line":1147,"kind":"class","docLink":"./Init/Prelude.html#HSub","doc":"The notation typeclass for heterogeneous subtraction.\nThis enables the notation `a - b : γ` where `a : α`, `b : β`.\n"},"HShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1255-L1255","name":"HShiftRight.mk","line":1255,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftRight.mk","doc":""},"HShiftRight.hShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1260-L1260","name":"HShiftRight.hShiftRight","line":1260,"kind":"def","docLink":"./Init/Prelude.html#HShiftRight.hShiftRight","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"HShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1255-L1260","name":"HShiftRight","line":1255,"kind":"class","docLink":"./Init/Prelude.html#HShiftRight","doc":"The typeclass behind the notation `a >>> b : γ` where `a : α`, `b : β`. "},"HShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1246-L1246","name":"HShiftLeft.mk","line":1246,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftLeft.mk","doc":""},"HShiftLeft.hShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1252-L1252","name":"HShiftLeft.hShiftLeft","line":1252,"kind":"def","docLink":"./Init/Prelude.html#HShiftLeft.hShiftLeft","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"HShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1246-L1252","name":"HShiftLeft","line":1246,"kind":"class","docLink":"./Init/Prelude.html#HShiftLeft","doc":"The typeclass behind the notation `a <<< b : γ` where `a : α`, `b : β`. "},"HPow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1189-L1189","name":"HPow.mk","line":1189,"kind":"ctor","docLink":"./Init/Prelude.html#HPow.mk","doc":""},"HPow.hPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1192-L1192","name":"HPow.hPow","line":1192,"kind":"def","docLink":"./Init/Prelude.html#HPow.hPow","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"HPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1189-L1192","name":"HPow","line":1189,"kind":"class","docLink":"./Init/Prelude.html#HPow","doc":"The notation typeclass for heterogeneous exponentiation.\nThis enables the notation `a ^ b : γ` where `a : α`, `b : β`.\n"},"HOrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1208-L1208","name":"HOrElse.mk","line":1208,"kind":"ctor","docLink":"./Init/Prelude.html#HOrElse.mk","doc":""},"HOrElse.hOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1213-L1213","name":"HOrElse.hOrElse","line":1213,"kind":"def","docLink":"./Init/Prelude.html#HOrElse.hOrElse","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1208-L1213","name":"HOrElse","line":1208,"kind":"class","docLink":"./Init/Prelude.html#HOrElse","doc":"The typeclass behind the notation `a <|> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HOr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1240-L1240","name":"HOr.mk","line":1240,"kind":"ctor","docLink":"./Init/Prelude.html#HOr.mk","doc":""},"HOr.hOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1243-L1243","name":"HOr.hOr","line":1243,"kind":"def","docLink":"./Init/Prelude.html#HOr.hOr","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1240-L1243","name":"HOr","line":1240,"kind":"class","docLink":"./Init/Prelude.html#HOr","doc":"The typeclass behind the notation `a ||| b : γ` where `a : α`, `b : β`. "},"HMul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1157-L1157","name":"HMul.mk","line":1157,"kind":"ctor","docLink":"./Init/Prelude.html#HMul.mk","doc":""},"HMul.hMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1160-L1160","name":"HMul.hMul","line":1160,"kind":"def","docLink":"./Init/Prelude.html#HMul.hMul","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1157-L1160","name":"HMul","line":1157,"kind":"class","docLink":"./Init/Prelude.html#HMul","doc":"The notation typeclass for heterogeneous multiplication.\nThis enables the notation `a * b : γ` where `a : α`, `b : β`.\n"},"HMod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1179-L1179","name":"HMod.mk","line":1179,"kind":"ctor","docLink":"./Init/Prelude.html#HMod.mk","doc":""},"HMod.hMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1183-L1183","name":"HMod.hMod","line":1183,"kind":"def","docLink":"./Init/Prelude.html#HMod.hMod","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"HMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1179-L1183","name":"HMod","line":1179,"kind":"class","docLink":"./Init/Prelude.html#HMod","doc":"The notation typeclass for heterogeneous modulo / remainder.\nThis enables the notation `a % b : γ` where `a : α`, `b : β`.\n"},"HEq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L630-L631","name":"HEq.trans","line":630,"kind":"theorem","docLink":"./Init/Core.html#HEq.trans","doc":""},"HEq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L624-L625","name":"HEq.symm","line":624,"kind":"theorem","docLink":"./Init/Core.html#HEq.symm","doc":""},"HEq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L621-L622","name":"HEq.subst","line":621,"kind":"theorem","docLink":"./Init/Core.html#HEq.subst","doc":""},"HEq.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L448-L449","name":"HEq.rfl","line":448,"kind":"def","docLink":"./Init/Prelude.html#HEq.rfl","doc":"A version of `HEq.refl` with an implicit argument. "},"HEq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L444-L445","name":"HEq.refl","line":444,"kind":"ctor","docLink":"./Init/Prelude.html#HEq.refl","doc":"Reflexivity of heterogeneous equality. "},"HEq.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L615-L616","name":"HEq.ndrecOn","line":615,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrecOn","doc":""},"HEq.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L612-L613","name":"HEq.ndrec","line":612,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrec","doc":""},"HEq.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L618-L619","name":"HEq.elim","line":618,"kind":"theorem","docLink":"./Init/Core.html#HEq.elim","doc":""},"HEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L443-L445","name":"HEq","line":443,"kind":"inductive","docLink":"./Init/Prelude.html#HEq","doc":"Heterogeneous equality. `HEq a b` asserts that `a` and `b` have the same\ntype, and casting `a` across the equality yields `b`, and vice versa.\n\nYou should avoid using this type if you can. Heterogeneous equality does not\nhave all the same properties as `Eq`, because the assumption that the types of\n`a` and `b` are equal is often too weak to prove theorems of interest. One\nimportant non-theorem is the analogue of `congr`: If `HEq f g` and `HEq x y`\nand `f x` and `g y` are well typed it does not follow that `HEq (f x) (g y)`.\n(This does follow if you have `f = g` instead.) However if `a` and `b` have\nthe same type then `a = b` and `HEq a b` are equivalent.\n"},"HDiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1166-L1166","name":"HDiv.mk","line":1166,"kind":"ctor","docLink":"./Init/Prelude.html#HDiv.mk","doc":""},"HDiv.hDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1173-L1173","name":"HDiv.hDiv","line":1173,"kind":"def","docLink":"./Init/Prelude.html#HDiv.hDiv","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"HDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1166-L1173","name":"HDiv","line":1166,"kind":"class","docLink":"./Init/Prelude.html#HDiv","doc":"The notation typeclass for heterogeneous division.\nThis enables the notation `a / b : γ` where `a : α`, `b : β`.\n"},"HAppend.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1198-L1198","name":"HAppend.mk","line":1198,"kind":"ctor","docLink":"./Init/Prelude.html#HAppend.mk","doc":""},"HAppend.hAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1201-L1201","name":"HAppend.hAppend","line":1201,"kind":"def","docLink":"./Init/Prelude.html#HAppend.hAppend","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"HAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1198-L1201","name":"HAppend","line":1198,"kind":"class","docLink":"./Init/Prelude.html#HAppend","doc":"The notation typeclass for heterogeneous append.\nThis enables the notation `a ++ b : γ` where `a : α`, `b : β`.\n"},"HAndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1220-L1220","name":"HAndThen.mk","line":1220,"kind":"ctor","docLink":"./Init/Prelude.html#HAndThen.mk","doc":""},"HAndThen.hAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1225-L1225","name":"HAndThen.hAndThen","line":1225,"kind":"def","docLink":"./Init/Prelude.html#HAndThen.hAndThen","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1220-L1225","name":"HAndThen","line":1220,"kind":"class","docLink":"./Init/Prelude.html#HAndThen","doc":"The typeclass behind the notation `a >> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HAnd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1228-L1228","name":"HAnd.mk","line":1228,"kind":"ctor","docLink":"./Init/Prelude.html#HAnd.mk","doc":""},"HAnd.hAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1231-L1231","name":"HAnd.hAnd","line":1231,"kind":"def","docLink":"./Init/Prelude.html#HAnd.hAnd","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1228-L1231","name":"HAnd","line":1228,"kind":"class","docLink":"./Init/Prelude.html#HAnd","doc":"The typeclass behind the notation `a &&& b : γ` where `a : α`, `b : β`. "},"HAdd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1138-L1138","name":"HAdd.mk","line":1138,"kind":"ctor","docLink":"./Init/Prelude.html#HAdd.mk","doc":""},"HAdd.hAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1141-L1141","name":"HAdd.hAdd","line":1141,"kind":"def","docLink":"./Init/Prelude.html#HAdd.hAdd","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1138-L1141","name":"HAdd","line":1138,"kind":"class","docLink":"./Init/Prelude.html#HAdd","doc":"The notation typeclass for heterogeneous addition.\nThis enables the notation `a + b : γ` where `a : α`, `b : β`.\n"},"Goedel.toType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"Goedel.mk":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"Goedel":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"GetElem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2460-L2460","name":"GetElem.mk","line":2460,"kind":"ctor","docLink":"./Init/Prelude.html#GetElem.mk","doc":""},"GetElem.getElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2481-L2481","name":"GetElem.getElem","line":2481,"kind":"def","docLink":"./Init/Prelude.html#GetElem.getElem","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"GetElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2460-L2481","name":"GetElem","line":2460,"kind":"class","docLink":"./Init/Prelude.html#GetElem","doc":"The class `GetElem cont idx elem dom` implements the `xs[i]` notation.\nWhen you write this, given `xs : cont` and `i : idx`, lean looks for an instance\nof `GetElem cont idx elem dom`. Here `elem` is the type of `xs[i]`, while\n`dom` is whatever proof side conditions are required to make this applicable.\nFor example, the instance for arrays looks like\n`GetElem (Array α) Nat α (fun xs i => i < xs.size)`.\n\nThe proof side-condition `dom xs i` is automatically dispatched by the\n`get_elem_tactic` tactic, which can be extended by adding more clauses to\n`get_elem_tactic_trivial`.\n"},"GT.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1085-L1085","name":"GT.gt","line":1085,"kind":"def","docLink":"./Init/Prelude.html#GT.gt","doc":"`a > b` is an abbreviation for `b < a`. "},"GE.ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1083-L1083","name":"GE.ge","line":1083,"kind":"def","docLink":"./Init/Prelude.html#GE.ge","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"Functor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2683-L2683","name":"Functor.mk","line":2683,"kind":"ctor","docLink":"./Init/Prelude.html#Functor.mk","doc":""},"Functor.mapRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L12-L13","name":"Functor.mapRev","line":12,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.mapRev","doc":""},"Functor.mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2688-L2688","name":"Functor.mapConst","line":2688,"kind":"def","docLink":"./Init/Prelude.html#Functor.mapConst","doc":"The special case `const a <$> x`, which can sometimes be implemented more\nefficiently. "},"Functor.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2685-L2685","name":"Functor.map","line":2685,"kind":"def","docLink":"./Init/Prelude.html#Functor.map","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"Functor.discard":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L18-L19","name":"Functor.discard","line":18,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.discard","doc":""},"Functor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2683-L2688","name":"Functor","line":2683,"kind":"class","docLink":"./Init/Prelude.html#Functor","doc":"In functional programming, a \"functor\" is a function on types `F : Type u → Type v`\nequipped with an operator called `map` or `<$>` such that if `f : α → β` then\n`map f : F α → F β`, so `f <$> x : F β` if `x : F α`. This corresponds to the\ncategory-theory notion of [functor](https://en.wikipedia.org/wiki/Functor) in\nthe special case where the category is the category of types and functions\nbetween them, except that this class supplies only the operations and not the\nlaws (see `LawfulFunctor`).\n"},"Function.const_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L31-L31","name":"Function.const_apply","line":31,"kind":"theorem","docLink":"./Init/Core.html#Function.const_apply","doc":""},"Function.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L66-L67","name":"Function.const","line":66,"kind":"def","docLink":"./Init/Prelude.html#Function.const","doc":"The constant function. If `a : α`, then `Function.const β a : β → α` is the\n\"constant function with value `a`\", that is, `Function.const β a b = a`.\n```\nexample (b : Bool) : Function.const Bool 10 b = 10 :=\n rfl\n\n#check Function.const Bool 10\n-- Bool → Nat\n```\n"},"Function.comp_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L33-L33","name":"Function.comp_apply","line":33,"kind":"theorem","docLink":"./Init/Core.html#Function.comp_apply","doc":""},"Function.comp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L52-L53","name":"Function.comp","line":52,"kind":"def","docLink":"./Init/Prelude.html#Function.comp","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"ForM.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L230-L230","name":"ForM.mk","line":230,"kind":"ctor","docLink":"./Init/Control/Basic.html#ForM.mk","doc":""},"ForM.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L231-L231","name":"ForM.forM","line":231,"kind":"def","docLink":"./Init/Control/Basic.html#ForM.forM","doc":""},"ForM.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/State.lean#L103-L111","name":"ForM.forIn","line":103,"kind":"def","docLink":"./Init/Control/State.html#ForM.forIn","doc":"Adapter to create a ForIn instance from a ForM instance "},"ForM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L230-L231","name":"ForM","line":230,"kind":"class","docLink":"./Init/Control/Basic.html#ForM","doc":"Typeclass for the polymorphic `forM` operation described in the \"do unchained\" paper.\nRemark:\n- `γ` is a \"container\" type of elements of type `α`.\n- `α` is treated as an output parameter by the typeclass resolution procedure.\n That is, it tries to find an instance using only `m` and `γ`.\n"},"ForInStep.yield":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L216-L218","name":"ForInStep.yield","line":216,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.yield","doc":"`.yield a` means that we should continue the loop.\n`.yield` is produced by `continue` and reaching the bottom of the loop body. "},"ForInStep.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L213-L215","name":"ForInStep.done","line":213,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.done","doc":"`.done a` means that we should early-exit the loop.\n`.done` is produced by calls to `break` or `return` in the loop. "},"ForInStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L212-L219","name":"ForInStep","line":212,"kind":"inductive","docLink":"./Init/Core.html#ForInStep","doc":"Auxiliary type used to compile `for x in xs` notation.\n\nThis is the return value of the body of a `ForIn` call,\nrepresenting the body of a for loop. It can be:\n\n* `.yield (a : α)`, meaning that we should continue the loop and `a` is the new state.\n `.yield` is produced by `continue` and reaching the bottom of the loop body.\n* `.done (a : α)`, meaning that we should early-exit the loop with state `a`.\n `.done` is produced by calls to `break` or `return` in the loop,\n"},"ForIn.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L227-L227","name":"ForIn.mk","line":227,"kind":"ctor","docLink":"./Init/Core.html#ForIn.mk","doc":""},"ForIn.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L248-L248","name":"ForIn.forIn","line":248,"kind":"def","docLink":"./Init/Core.html#ForIn.forIn","doc":"`forIn x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` to\n`f : α → β → m (ForInStep β)`. `b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration.\n\nThe expression\n```\nlet mut b := ...\nfor x in xs do\n b ← foo x b\n```\nin a `do` block is syntactic sugar for:\n```\nlet b := ...\nlet b ← forIn xs b (fun x b => do\n let b ← foo x b\n return .yield b)\n```\n(Here `b` corresponds to the variables mutated in the loop.) "},"ForIn'.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L257-L257","name":"ForIn'.mk","line":257,"kind":"ctor","docLink":"./Init/Core.html#ForIn'.mk","doc":""},"ForIn'.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L264-L264","name":"ForIn'.forIn'","line":264,"kind":"def","docLink":"./Init/Core.html#ForIn'.forIn'","doc":"`forIn' x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` along\nwith a proof that `a ∈ x` to `f : (a : α) → a ∈ x → β → m (ForInStep β)`.\n`b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration. "},"ForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L257-L264","name":"ForIn'","line":257,"kind":"class","docLink":"./Init/Core.html#ForIn'","doc":"`ForIn' m ρ α d` is a variation on the `ForIn m ρ α` typeclass which supports the\n`for h : x in xs` notation. It is the same as `for x in xs` except that `h : x ∈ xs`\nis provided as an additional argument to the body of the for-loop.\n"},"ForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L227-L248","name":"ForIn","line":227,"kind":"class","docLink":"./Init/Core.html#ForIn","doc":"`ForIn m ρ α` is the typeclass which supports `for x in xs` notation.\nHere `xs : ρ` is the type of the collection to iterate over, `x : α`\nis the element type which is made available inside the loop, and `m` is the monad\nfor the encompassing `do` block.\n"},"FloatSpec.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L13-L13","name":"FloatSpec.val","line":13,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.val","doc":""},"FloatSpec.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L1-L1","name":"FloatSpec.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#FloatSpec.mk","doc":""},"FloatSpec.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L14-L14","name":"FloatSpec.lt","line":14,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.lt","doc":""},"FloatSpec.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L15-L15","name":"FloatSpec.le","line":15,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.le","doc":""},"FloatSpec.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L12-L12","name":"FloatSpec.float","line":12,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.float","doc":""},"FloatSpec.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L16-L16","name":"FloatSpec.decLt","line":16,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLt","doc":""},"FloatSpec.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L17-L17","name":"FloatSpec.decLe","line":17,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLe","doc":""},"FloatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L11-L17","name":"FloatSpec","line":11,"kind":"structure","docLink":"./Init/Data/Float.html#FloatSpec","doc":""},"FloatArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L65-L66","name":"FloatArray.uset","line":65,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uset","doc":""},"FloatArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L41-L42","name":"FloatArray.uget","line":41,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uget","doc":""},"FloatArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L80-L84","name":"FloatArray.toList.loop","line":80,"kind":"opaque","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList.loop","doc":""},"FloatArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L79-L85","name":"FloatArray.toList","line":79,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList","doc":""},"FloatArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L37-L38","name":"FloatArray.size","line":37,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.size","doc":""},"FloatArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L73-L74","name":"FloatArray.set!","line":73,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set!","doc":""},"FloatArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L69-L70","name":"FloatArray.set","line":69,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set","doc":""},"FloatArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L33-L34","name":"FloatArray.push","line":33,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.push","doc":""},"FloatArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L20-L21","name":"FloatArray.mkEmpty","line":20,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mkEmpty","doc":""},"FloatArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/Basic.lean#L1-L1","name":"FloatArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mk","doc":""},"FloatArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/FloatArray/B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"},"Float.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L72-L72","name":"Float.toString","line":72,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toString","doc":""},"Float.tanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L118-L118","name":"Float.tanh","line":118,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tanh","doc":""},"Float.tan":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L111-L111","name":"Float.tan","line":111,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tan","doc":""},"Float.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L35-L35","name":"Float.sub","line":35,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sub","doc":""},"Float.sqrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L128-L128","name":"Float.sqrt","line":128,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sqrt","doc":""},"Float.sinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L116-L116","name":"Float.sinh","line":116,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sinh","doc":""},"Float.sin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L109-L109","name":"Float.sin","line":109,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sin","doc":""},"Float.scaleB":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L145-L145","name":"Float.scaleB","line":145,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.scaleB","doc":"Efficiently computes `x * 2^i`.\n"},"Float.round":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L132-L132","name":"Float.round","line":132,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.round","doc":""},"Float.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L127-L127","name":"Float.pow","line":127,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.pow","doc":""},"Float.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L26-L32","name":"Float.ofScientific","line":26,"kind":"opaque","docLink":"./Init/Data/OfScientific.html#Float.ofScientific","doc":""},"Float.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L46-L47","name":"Float.ofNat","line":46,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofNat","doc":""},"Float.ofInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L49-L51","name":"Float.ofInt","line":49,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofInt","doc":""},"Float.ofBinaryScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/OfScientific.lean#L20-L24","name":"Float.ofBinaryScientific","line":20,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofBinaryScientific","doc":"Computes `m * 2^e`. "},"Float.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L38-L38","name":"Float.neg","line":38,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.neg","doc":""},"Float.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L36-L36","name":"Float.mul","line":36,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.mul","doc":""},"Float.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L1-L1","name":"Float.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#Float.mk","doc":""},"Float.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L41-L43","name":"Float.lt","line":41,"kind":"def","docLink":"./Init/Data/Float.html#Float.lt","doc":""},"Float.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L125-L125","name":"Float.log2","line":125,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log2","doc":""},"Float.log10":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L126-L126","name":"Float.log10","line":126,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log10","doc":""},"Float.log":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L124-L124","name":"Float.log","line":124,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log","doc":""},"Float.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L45-L46","name":"Float.le","line":45,"kind":"def","docLink":"./Init/Data/Float.html#Float.le","doc":""},"Float.isNaN":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L90-L90","name":"Float.isNaN","line":90,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isNaN","doc":""},"Float.isInf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L92-L92","name":"Float.isInf","line":92,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isInf","doc":""},"Float.isFinite":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L91-L91","name":"Float.isFinite","line":91,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isFinite","doc":""},"Float.frExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L97-L97","name":"Float.frExp","line":97,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.frExp","doc":"Splits the given float `x` into a significand/exponent pair `(s, i)`\nsuch that `x = s * 2^i` where `s ∈ (-1;-0.5] ∪ [0.5; 1)`.\nReturns an undefined value if `x` is not finite.\n"},"Float.floor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L131-L131","name":"Float.floor","line":131,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.floor","doc":""},"Float.exp2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L123-L123","name":"Float.exp2","line":123,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp2","doc":""},"Float.exp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L122-L122","name":"Float.exp","line":122,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp","doc":""},"Float.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L37-L37","name":"Float.div","line":37,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.div","doc":""},"Float.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L61-L63","name":"Float.decLt","line":61,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLt","doc":""},"Float.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L65-L67","name":"Float.decLe","line":65,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLe","doc":""},"Float.cosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L117-L117","name":"Float.cosh","line":117,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cosh","doc":""},"Float.cos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L110-L110","name":"Float.cos","line":110,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cos","doc":""},"Float.ceil":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L130-L130","name":"Float.ceil","line":130,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.ceil","doc":""},"Float.cbrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L129-L129","name":"Float.cbrt","line":129,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cbrt","doc":""},"Float.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L57-L57","name":"Float.beq","line":57,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.beq","doc":"Note: this is not reflexive since `NaN != NaN`."},"Float.atanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L121-L121","name":"Float.atanh","line":121,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atanh","doc":""},"Float.atan2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L115-L115","name":"Float.atan2","line":115,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan2","doc":""},"Float.atan":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L114-L114","name":"Float.atan","line":114,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan","doc":""},"Float.asinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L119-L119","name":"Float.asinh","line":119,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asinh","doc":""},"Float.asin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L112-L112","name":"Float.asin","line":112,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asin","doc":""},"Float.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L34-L34","name":"Float.add","line":34,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.add","doc":""},"Float.acosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L120-L120","name":"Float.acosh","line":120,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acosh","doc":""},"Float.acos":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L113-L113","name":"Float.acos","line":113,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acos","doc":""},"Float.abs":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L133-L133","name":"Float.abs","line":133,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.abs","doc":""},"Float":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Float.lean#L29-L30","name":"Float","line":29,"kind":"structure","docLink":"./Init/Data/Float.html#Float","doc":""},"Fin.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L68-L69","name":"Fin.xor","line":68,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.xor","doc":""},"Fin.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L109-L110","name":"Fin.val_ne_of_ne","line":109,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_ne_of_ne","doc":""},"Fin.val_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L115-L116","name":"Fin.val_lt_of_le","line":115,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_lt_of_le","doc":""},"Fin.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1755-L1756","name":"Fin.val_eq_of_eq","line":1755,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.val_eq_of_eq","doc":""},"Fin.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1748-L1748","name":"Fin.val","line":1748,"kind":"def","docLink":"./Init/Prelude.html#Fin.val","doc":"If `i : Fin n`, then `i.val : ℕ` is the described number. It can also be\nwritten as `i.1` or just `i` when the target type is known. "},"Fin.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L21-L22","name":"Fin.succ","line":21,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.succ","doc":""},"Fin.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L44-L45","name":"Fin.sub","line":44,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.sub","doc":""},"Fin.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L11-L12","name":"Fin.sizeOf","line":11,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Fin.sizeOf","doc":""},"Fin.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L74-L75","name":"Fin.shiftRight","line":74,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftRight","doc":""},"Fin.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L71-L72","name":"Fin.shiftLeft","line":71,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftLeft","doc":""},"Fin.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L29-L30","name":"Fin.ofNat'","line":29,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat'","doc":""},"Fin.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L26-L27","name":"Fin.ofNat","line":26,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat","doc":""},"Fin.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1758-L1759","name":"Fin.ne_of_val_ne","line":1758,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.ne_of_val_ne","doc":""},"Fin.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L41-L42","name":"Fin.mul","line":41,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mul","doc":""},"Fin.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L112-L113","name":"Fin.modn_lt","line":112,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.modn_lt","doc":""},"Fin.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L59-L60","name":"Fin.modn","line":59,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.modn","doc":""},"Fin.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L53-L54","name":"Fin.mod","line":53,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mod","doc":""},"Fin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1745-L1745","name":"Fin.mk","line":1745,"kind":"ctor","docLink":"./Init/Prelude.html#Fin.mk","doc":""},"Fin.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L65-L66","name":"Fin.lor","line":65,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.lor","doc":""},"Fin.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Log2.lean#L9-L9","name":"Fin.log2","line":9,"kind":"def","docLink":"./Init/Data/Fin/Log2.html#Fin.log2","doc":""},"Fin.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L62-L63","name":"Fin.land","line":62,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.land","doc":""},"Fin.isLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1750-L1750","name":"Fin.isLt","line":1750,"kind":"def","docLink":"./Init/Prelude.html#Fin.isLt","doc":"If `i : Fin n`, then `i.2` is a proof that `i.1 < n`. "},"Fin.instXorFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L96-L97","name":"Fin.instXorFin","line":96,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instXorFin","doc":""},"Fin.instSubFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L80-L81","name":"Fin.instSubFin","line":80,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instSubFin","doc":""},"Fin.instShiftRightFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L100-L101","name":"Fin.instShiftRightFin","line":100,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftRightFin","doc":""},"Fin.instShiftLeftFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L98-L99","name":"Fin.instShiftLeftFin","line":98,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftLeftFin","doc":""},"Fin.instOrOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L94-L95","name":"Fin.instOrOpFin","line":94,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOrOpFin","doc":""},"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L103-L104","name":"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","line":103,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instMulFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L83-L84","name":"Fin.instMulFin","line":83,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instMulFin","doc":""},"Fin.instModFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L86-L87","name":"Fin.instModFin","line":86,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instModFin","doc":""},"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L106-L107","name":"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","line":106,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instDivFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L89-L90","name":"Fin.instDivFin","line":89,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instDivFin","doc":""},"Fin.instAndOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L92-L93","name":"Fin.instAndOpFin","line":92,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAndOpFin","doc":""},"Fin.instAddFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L77-L78","name":"Fin.instAddFin","line":77,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAddFin","doc":""},"Fin.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1752-L1753","name":"Fin.eq_of_val_eq","line":1752,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.eq_of_val_eq","doc":""},"Fin.elim0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L18-L19","name":"Fin.elim0","line":18,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.elim0","doc":""},"Fin.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L56-L57","name":"Fin.div","line":56,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.div","doc":""},"Fin.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1773-L1773","name":"Fin.decLt","line":1773,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLt","doc":""},"Fin.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1774-L1774","name":"Fin.decLe","line":1774,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLe","doc":""},"Fin.coeToNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L15-L16","name":"Fin.coeToNat","line":15,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.coeToNat","doc":""},"Fin.coeLt":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"Fin.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Fin/Basic.lean#L38-L39","name":"Fin.add","line":38,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.add","doc":""},"Fin":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1745-L1750","name":"Fin","line":1745,"kind":"structure","docLink":"./Init/Prelude.html#Fin","doc":"`Fin n` is a natural number `i` with the constraint that `0 ≤ i < n`.\nIt is the \"canonical type with `n` elements\".\n"},"False.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L223-L224","name":"False.elim","line":223,"kind":"def","docLink":"./Init/Prelude.html#False.elim","doc":"`False.elim : False → C` says that from `False`, any desired proposition\n`C` holds. Also known as ex falso quodlibet (EFQ) or the principle of explosion.\n\nThe target type is actually `C : Sort u` which means it works for both\npropositions and types. When executed, this acts like an \"unreachable\"\ninstruction: it is **undefined behavior** to run, but it will probably print\n\"unreachable code\". (You would need to construct a proof of false to run it\nanyway, which you can only do using `sorry` or unsound axioms.)\n"},"False":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L189-L189","name":"False","line":189,"kind":"inductive","docLink":"./Init/Prelude.html#False","doc":"`False` is the empty proposition. Thus, it has no introduction rules.\nIt represents a contradiction. `False` elimination rule, `False.rec`,\nexpresses the fact that anything follows from a contradiction.\nThis rule is sometimes called ex falso (short for ex falso sequitur quodlibet),\nor the principle of explosion.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Exists.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L197-L199","name":"Exists.intro","line":197,"kind":"ctor","docLink":"./Init/Core.html#Exists.intro","doc":"Existential introduction. If `a : α` and `h : p a`,\nthen `⟨a, h⟩` is a proof that `∃ x : α, p x`. "},"Exists.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L685-L688","name":"Exists.elim","line":685,"kind":"theorem","docLink":"./Init/Core.html#Exists.elim","doc":""},"Exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L196-L199","name":"Exists","line":196,"kind":"inductive","docLink":"./Init/Core.html#Exists","doc":"Existential quantification. If `p : α → Prop` is a predicate, then `∃ x : α, p x`\nasserts that there is some `x` of type `α` such that `p x` holds.\nTo create an existential proof, use the `exists` tactic,\nor the anonymous constructor notation `⟨x, h⟩`.\nTo unpack an existential, use `cases h` where `h` is a proof of `∃ x : α, p x`,\nor `let ⟨x, hx⟩ := h` where `.\n\nBecause Lean has proof irrelevance, any two proofs of an existential are\ndefinitionally equal. One consequence of this is that it is impossible to recover the\nwitness of an existential from the mere fact of its existence.\nFor example, the following does not compile:\n```\nexample (h : ∃ x : Nat, x = x) : Nat :=\n let ⟨x, _⟩ := h -- fail, because the goal is `Nat : Type`\n x\n```\nThe error message `recursor 'Exists.casesOn' can only eliminate into Prop` means\nthat this only works when the current goal is another proposition:\n```\nexample (h : ∃ x : Nat, x = x) : True :=\n let ⟨x, _⟩ := h -- ok, because the goal is `True : Prop`\n trivial\n```\n"},"ExceptT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L114-L117","name":"ExceptT.tryCatch","line":114,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.tryCatch","doc":""},"ExceptT.seq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L137-L138","name":"ExceptT.seq_eq","line":137,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seq_eq","doc":""},"ExceptT.seqRight_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L155-L161","name":"ExceptT.seqRight_eq","line":155,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqRight_eq","doc":""},"ExceptT.seqLeft_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L143-L153","name":"ExceptT.seqLeft_eq","line":143,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqLeft_eq","doc":""},"ExceptT.run_throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L112-L112","name":"ExceptT.run_throw","line":112,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_throw","doc":""},"ExceptT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L108-L108","name":"ExceptT.run_pure","line":108,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_pure","doc":""},"ExceptT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L131-L135","name":"ExceptT.run_map","line":131,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_map","doc":""},"ExceptT.run_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L110-L110","name":"ExceptT.run_lift","line":110,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_lift","doc":""},"ExceptT.run_bind_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L114-L115","name":"ExceptT.run_bind_lift","line":114,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind_lift","doc":""},"ExceptT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L120-L126","name":"ExceptT.run_bind","line":120,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind","doc":""},"ExceptT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L80-L80","name":"ExceptT.run","line":80,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.run","doc":""},"ExceptT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L87-L88","name":"ExceptT.pure","line":87,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.pure","doc":""},"ExceptT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L77-L77","name":"ExceptT.mk","line":77,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.mk","doc":""},"ExceptT.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L100-L103","name":"ExceptT.map","line":100,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.map","doc":""},"ExceptT.lift_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Lawful.lean#L128-L129","name":"ExceptT.lift_pure","line":128,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.lift_pure","doc":""},"ExceptT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L106-L107","name":"ExceptT.lift","line":106,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.lift","doc":""},"ExceptT.instMonadLiftExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L111-L111","name":"ExceptT.instMonadLiftExceptT","line":111,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptT","doc":""},"ExceptT.instMonadLiftExceptExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L110-L110","name":"ExceptT.instMonadLiftExceptExceptT","line":110,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptExceptT","doc":""},"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"},"Except.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L17-L18","name":"Except.pure","line":17,"kind":"def","docLink":"./Init/Control/Except.html#Except.pure","doc":""},"Except.orElseLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L60-L63","name":"Except.orElseLazy","line":60,"kind":"def","docLink":"./Init/Control/Except.html#Except.orElseLazy","doc":""},"Except.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2849-L2850","name":"Except.ok","line":2849,"kind":"ctor","docLink":"./Init/Prelude.html#Except.ok","doc":"A success value of type `α` "},"Except.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L25-L28","name":"Except.map_id","line":25,"kind":"theorem","docLink":"./Init/Control/Except.html#Except.map_id","doc":""},"Except.mapError":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L31-L33","name":"Except.mapError","line":31,"kind":"def","docLink":"./Init/Control/Except.html#Except.mapError","doc":""},"Except.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L21-L23","name":"Except.map","line":21,"kind":"def","docLink":"./Init/Control/Except.html#Except.map","doc":""},"Except.isOk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L47-L47","name":"Except.isOk","line":47,"kind":"def","docLink":"./Init/Control/Except.html#Except.isOk","doc":""},"Except.instMonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L66-L69","name":"Except.instMonadExcept","line":66,"kind":"instance","docLink":"./Init/Control/Except.html#Except.instMonadExcept","doc":""},"Except.error":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2847-L2848","name":"Except.error","line":2847,"kind":"ctor","docLink":"./Init/Prelude.html#Except.error","doc":"A failure value of type `ε` "},"Except.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Except.lean#L36-L39","name":"Except.bind","line":36,"kind":"def","docLink":"./Init/Control/Except.html#Except.bind","doc":""},"Except":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2846-L2850","name":"Except","line":2846,"kind":"inductive","docLink":"./Init/Prelude.html#Except","doc":"`Except ε α` is a type which represents either an error of type `ε`, or an \"ok\"\nvalue of type `α`. The error type is listed first because\n`Except ε : Type → Type` is a `Monad`: the pure operation is `ok` and the bind\noperation returns the first encountered `error`.\n"},"Equivalence.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L921-L921","name":"Equivalence.trans","line":921,"kind":"def","docLink":"./Init/Core.html#Equivalence.trans","doc":"An equivalence relation is transitive: `x ~ y` and `y ~ z` implies `x ~ z` "},"Equivalence.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L919-L919","name":"Equivalence.symm","line":919,"kind":"def","docLink":"./Init/Core.html#Equivalence.symm","doc":"An equivalence relation is symmetric: `x ~ y` implies `y ~ x` "},"Equivalence.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L917-L917","name":"Equivalence.refl","line":917,"kind":"def","docLink":"./Init/Core.html#Equivalence.refl","doc":"An equivalence relation is reflexive: `x ~ x` "},"Equivalence.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L915-L915","name":"Equivalence.mk","line":915,"kind":"ctor","docLink":"./Init/Core.html#Equivalence.mk","doc":""},"Equivalence":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L915-L921","name":"Equivalence","line":915,"kind":"structure","docLink":"./Init/Core.html#Equivalence","doc":"An equivalence relation `~ : α → α → Prop` is a relation that is:\n\n* reflexive: `x ~ x`\n* symmetric: `x ~ y` implies `y ~ x`\n* transitive: `x ~ y` and `y ~ z` implies `x ~ z`\n\nEquality is an equivalence relation, and equivalence relations share many of\nthe properties of equality. In particular, `Quot α r` is most well behaved\nwhen `r` is an equivalence relation, and in this case we use `Quotient` instead.\n"},"Eq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L322-L323","name":"Eq.trans","line":322,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.trans","doc":"Equality is transitive: if `a = b` and `b = c` then `a = c`.\n\nBecause this is in the `Eq` namespace, if you have variables or expressions\n`h₁ : a = b` and `h₂ : b = c`, you can use `h₁.trans h₂ : a = c` as shorthand\nfor `Eq.trans h₁ h₂`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L310-L311","name":"Eq.symm","line":310,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.symm","doc":"Equality is symmetric: if `a = b` then `b = a`.\n\nBecause this is in the `Eq` namespace, if you have a variable `h : a = b`,\n`h.symm` can be used as shorthand for `Eq.symm h` as a proof of `b = a`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.substr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L550-L551","name":"Eq.substr","line":550,"kind":"theorem","docLink":"./Init/Core.html#Eq.substr","doc":""},"Eq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L299-L300","name":"Eq.subst","line":299,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.subst","doc":"The substitution principle for equality. If `a = b ` and `P a` holds,\nthen `P b` also holds. We conventionally use the name `motive` for `P` here,\nso that you can specify it explicitly using e.g.\n`Eq.subst (motive := fun x => x < 5)` if it is not otherwise inferred correctly.\n\nThis theorem is the underlying mechanism behind the `rw` tactic, which is\nessentially a fancy algorithm for finding good `motive` arguments to usefully\napply this theorem to replace occurrences of `a` with `b` in the goal or\nhypotheses.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L264-L266","name":"Eq.refl","line":264,"kind":"ctor","docLink":"./Init/Prelude.html#Eq.refl","doc":"`Eq.refl a : a = a` is reflexivity, the unique constructor of the\nequality type. See also `rfl`, which is usually used instead. "},"Eq.propIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1144-L1145","name":"Eq.propIntro","line":1144,"kind":"theorem","docLink":"./Init/Core.html#Eq.propIntro","doc":""},"Eq.mpr_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L62-L62","name":"Eq.mpr_prop","line":62,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_prop","doc":""},"Eq.mpr_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L63-L63","name":"Eq.mpr_not","line":63,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_not","doc":""},"Eq.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L546-L547","name":"Eq.mpr","line":546,"kind":"def","docLink":"./Init/Core.html#Eq.mpr","doc":"If `h : α = β` is a proof of type equality, then `h.mpr : β → α` is the induced\n\"cast\" operation in the reverse direction, mapping elements of `β` to elements of `α`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mpr` is definitionally the identity function.\n"},"Eq.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L536-L537","name":"Eq.mp","line":536,"kind":"def","docLink":"./Init/Core.html#Eq.mp","doc":"If `h : α = β` is a proof of type equality, then `h.mp : α → β` is the induced\n\"cast\" operation, mapping elements of `α` to elements of `β`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mp` is definitionally the identity function.\n"},"Eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L263-L266","name":"Eq","line":263,"kind":"inductive","docLink":"./Init/Prelude.html#Eq","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"EmptyCollection.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L346-L346","name":"EmptyCollection.mk","line":346,"kind":"ctor","docLink":"./Init/Core.html#EmptyCollection.mk","doc":""},"EmptyCollection.emptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L349-L349","name":"EmptyCollection.emptyCollection","line":349,"kind":"def","docLink":"./Init/Core.html#EmptyCollection.emptyCollection","doc":"`∅` or `{}` is the empty set or empty collection.\nIt is supported by the `EmptyCollection` typeclass. "},"EmptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L346-L349","name":"EmptyCollection","line":346,"kind":"class","docLink":"./Init/Core.html#EmptyCollection","doc":"`EmptyCollection α` is the typeclass which supports the notation `∅`, also written as `{}`. "},"Empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L195-L195","name":"Empty","line":195,"kind":"inductive","docLink":"./Init/Prelude.html#Empty","doc":"The empty type. It has no constructors. The `Empty.rec`\neliminator expresses the fact that anything follows from the empty type.\n"},"EStateM.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3253-L3257","name":"EStateM.tryCatch","line":3253,"kind":"def","docLink":"./Init/Prelude.html#EStateM.tryCatch","doc":"Implementation of `tryCatch` for `EStateM` where the state is `Backtrackable`. "},"EStateM.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3236-L3237","name":"EStateM.throw","line":3236,"kind":"def","docLink":"./Init/Prelude.html#EStateM.throw","doc":"The `throw` operation of the `EStateM` monad. "},"EStateM.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3220-L3221","name":"EStateM.set","line":3220,"kind":"def","docLink":"./Init/Prelude.html#EStateM.set","doc":"The `set` operation of the `EStateM` monad. "},"EStateM.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3290-L3293","name":"EStateM.seqRight","line":3290,"kind":"def","docLink":"./Init/Prelude.html#EStateM.seqRight","doc":"The `seqRight` operation of the `EStateM` monad. "},"EStateM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3323-L3326","name":"EStateM.run'","line":3323,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run'","doc":"Execute an `EStateM` on initial state `s` for the returned value `α`.\nIf the monadic action throws an exception, returns `none` instead.\n"},"EStateM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3316-L3316","name":"EStateM.run","line":3316,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run","doc":"Execute an `EStateM` on initial state `s` to get a `Result`. "},"EStateM.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3215-L3216","name":"EStateM.pure","line":3215,"kind":"def","docLink":"./Init/Prelude.html#EStateM.pure","doc":"The `pure` operation of the `EStateM` monad. "},"EStateM.orElse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L35-L42","name":"EStateM.orElse'","line":35,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.orElse'","doc":"Alternative orElse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orElse` uses the second. "},"EStateM.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3261-L3265","name":"EStateM.orElse","line":3261,"kind":"def","docLink":"./Init/Prelude.html#EStateM.orElse","doc":"Implementation of `orElse` for `EStateM` where the state is `Backtrackable`. "},"EStateM.nonBacktrackable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3340-L3342","name":"EStateM.nonBacktrackable","line":3340,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.nonBacktrackable","doc":"Dummy default instance. This makes every `σ` trivially \"backtrackable\"\nby doing nothing on backtrack. Because this is the first declared instance\nof `Backtrackable _ σ`, it will be picked only if there are no other\n`Backtrackable _ σ` instances registered.\n"},"EStateM.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3230-L3232","name":"EStateM.modifyGet","line":3230,"kind":"def","docLink":"./Init/Prelude.html#EStateM.modifyGet","doc":"The `modifyGet` operation of the `EStateM` monad. "},"EStateM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3283-L3286","name":"EStateM.map","line":3283,"kind":"def","docLink":"./Init/Prelude.html#EStateM.map","doc":"The `map` operation of the `EStateM` monad. "},"EStateM.instToStringResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L16-L19","name":"EStateM.instToStringResult","line":16,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instToStringResult","doc":""},"EStateM.instReprResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L21-L24","name":"EStateM.instReprResult","line":21,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instReprResult","doc":""},"EStateM.instOrElseEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3302-L3303","name":"EStateM.instOrElseEStateM","line":3302,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instOrElseEStateM","doc":""},"EStateM.instMonadStateOfEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3305-L3308","name":"EStateM.instMonadStateOfEStateM","line":3305,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadStateOfEStateM","doc":""},"EStateM.instMonadFinallyEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L45-L55","name":"EStateM.instMonadFinallyEStateM","line":45,"kind":"instance","docLink":"./Init/Control/EState.html#EStateM.instMonadFinallyEStateM","doc":""},"EStateM.instMonadExceptOfEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3310-L3312","name":"EStateM.instMonadExceptOfEStateM","line":3310,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadExceptOfEStateM","doc":""},"EStateM.instMonadEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3296-L3300","name":"EStateM.instMonadEStateM","line":3296,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instMonadEStateM","doc":""},"EStateM.instInhabitedResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3194-L3195","name":"EStateM.instInhabitedResult","line":3194,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instInhabitedResult","doc":""},"EStateM.instInhabitedEStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3210-L3211","name":"EStateM.instInhabitedEStateM","line":3210,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.instInhabitedEStateM","doc":""},"EStateM.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3225-L3226","name":"EStateM.get","line":3225,"kind":"def","docLink":"./Init/Prelude.html#EStateM.get","doc":"The `get` operation of the `EStateM` monad. "},"EStateM.fromStateM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/EState.lean#L57-L59","name":"EStateM.fromStateM","line":57,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.fromStateM","doc":""},"EStateM.dummySave":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3329-L3329","name":"EStateM.dummySave","line":3329,"kind":"def","docLink":"./Init/Prelude.html#EStateM.dummySave","doc":"The `save` implementation for `Backtrackable PUnit σ`. "},"EStateM.dummyRestore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L3332-L3332","name":"EStateM.dummyRestore","line":3332,"kind":"def","docLink":"./Init/Prelude.html#EStateM.dummyRestore","doc":"The `restore` implementation for `Backtrackable PUnit σ`. 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name of the type of the value stored in the `Dynamic`.\n"},"Dynamic.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L96-L96","name":"Dynamic.mk","line":96,"kind":"opaque","docLink":"./Init/Dynamic.html#Dynamic.mk","doc":""},"Dynamic.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L90-L90","name":"Dynamic.get?","line":90,"kind":"opaque","docLink":"./Init/Dynamic.html#Dynamic.get?","doc":"Retrieves the value stored in the `Dynamic`.\nReturns `some a` if the value has the right type, and `none` otherwise.\n"},"Dynamic":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Dynamic.lean#L65-L65","name":"Dynamic","line":65,"kind":"def","docLink":"./Init/Dynamic.html#Dynamic","doc":"Type-tagged union that can store any type with a `TypeName` instance.\n\nThis is roughly equivalent to `(α : Type) × TypeName α × α` but without the\nuniverse bump.\n"},"DoResultSBC.pureReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L324-L329","name":"DoResultSBC.pureReturn","line":324,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.pureReturn","doc":"This encodes either `pure (a : α)` or `return (a : α)`:\n* `pure (a : α) s` means that the block exited normally with return value `a`\n* `return (b : β) s` means that the block exited via a `return b` early-exit command\n\nThe one that is actually encoded depends on the context of use. "},"DoResultSBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L333-L335","name":"DoResultSBC.continue","line":333,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultSBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L330-L332","name":"DoResultSBC.break","line":330,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultSBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L323-L335","name":"DoResultSBC","line":323,"kind":"inductive","docLink":"./Init/Core.html#DoResultSBC","doc":"Auxiliary type used to compile `do` notation. It is an optimization of\neither `DoResultPRBC α PEmpty σ` or `DoResultPRBC PEmpty α σ` to remove the\nimpossible case, used when either `pure` or `return` is never used.\n"},"DoResultPRBC.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L285-L286","name":"DoResultPRBC.return","line":285,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.return","doc":"`return (b : β) s` means that the block exited via a `return b` early-exit command "},"DoResultPRBC.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L283-L284","name":"DoResultPRBC.pure","line":283,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.pure","doc":"`pure (a : α) s` means that the block exited normally with return value `a` "},"DoResultPRBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L290-L292","name":"DoResultPRBC.continue","line":290,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultPRBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L287-L289","name":"DoResultPRBC.break","line":287,"kind":"ctor","docLink":"./Init/Core.html#DoResultPRBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultPRBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L282-L292","name":"DoResultPRBC","line":282,"kind":"inductive","docLink":"./Init/Core.html#DoResultPRBC","doc":"Auxiliary type used to compile `do` notation. It is used when compiling a do block\nnested inside a combinator like `tryCatch`. It encodes the possible ways the\nblock can exit:\n* `pure (a : α) s` means that the block exited normally with return value `a`.\n* `return (b : β) s` means that the block exited via a `return b` early-exit command.\n* `break s` means that `break` was called, meaning that we should exit\n from the containing loop.\n* `continue s` means that `continue` was called, meaning that we should continue\n to the next iteration of the containing loop.\n\nAll cases return a value `s : σ` which bundles all the mutable variables of the do-block.\n"},"DoResultPR.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L302-L303","name":"DoResultPR.return","line":302,"kind":"ctor","docLink":"./Init/Core.html#DoResultPR.return","doc":"`return (b : β) s` means that the block exited via a `return b` early-exit command "},"DoResultPR.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L300-L301","name":"DoResultPR.pure","line":300,"kind":"ctor","docLink":"./Init/Core.html#DoResultPR.pure","doc":"`pure (a : α) s` means that the block exited normally with return value `a` "},"DoResultPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L299-L303","name":"DoResultPR","line":299,"kind":"inductive","docLink":"./Init/Core.html#DoResultPR","doc":"Auxiliary type used to compile `do` notation. It is the same as\n`DoResultPRBC α β σ` except that `break` and `continue` are not available\nbecause we are not in a loop context.\n"},"DoResultBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L314-L316","name":"DoResultBC.continue","line":314,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L311-L313","name":"DoResultBC.break","line":311,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L310-L316","name":"DoResultBC","line":310,"kind":"inductive","docLink":"./Init/Core.html#DoResultBC","doc":"Auxiliary type used to compile `do` notation. It is an optimization of\n`DoResultPRBC PEmpty PEmpty σ` to remove the impossible cases,\nused when neither `pure` nor `return` are possible exit paths.\n"},"Div.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1287-L1287","name":"Div.mk","line":1287,"kind":"ctor","docLink":"./Init/Prelude.html#Div.mk","doc":""},"Div.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1289-L1289","name":"Div.div","line":1289,"kind":"def","docLink":"./Init/Prelude.html#Div.div","doc":"`a / b` computes the result of dividing `a` by `b`. See `HDiv`. "},"Div":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1287-L1289","name":"Div","line":1287,"kind":"class","docLink":"./Init/Prelude.html#Div","doc":"The homogeneous version of `HDiv`: `a / b : α` where `a b : α`. "},"DecidableRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L832-L833","name":"DecidableRel","line":832,"kind":"def","docLink":"./Init/Prelude.html#DecidableRel","doc":"A decidable relation. See `Decidable`. "},"DecidablePred":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L828-L829","name":"DecidablePred","line":828,"kind":"def","docLink":"./Init/Prelude.html#DecidablePred","doc":"A decidable predicate. See `Decidable`. "},"DecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L839-L840","name":"DecidableEq","line":839,"kind":"def","docLink":"./Init/Prelude.html#DecidableEq","doc":"Asserts that `α` has decidable equality, that is, `a = b` is decidable\nfor all `a b : α`. See `Decidable`.\n"},"Decidable.of_not_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L741-L742","name":"Decidable.of_not_not","line":741,"kind":"theorem","docLink":"./Init/Core.html#Decidable.of_not_not","doc":""},"Decidable.not_and_iff_or_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L744-L752","name":"Decidable.not_and_iff_or_not","line":744,"kind":"theorem","docLink":"./Init/Core.html#Decidable.not_and_iff_or_not","doc":""},"Decidable.isTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L813-L814","name":"Decidable.isTrue","line":813,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isTrue","doc":"Prove that `p` is decidable by supplying a proof of `p` "},"Decidable.isFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L811-L812","name":"Decidable.isFalse","line":811,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isFalse","doc":"Prove that `p` is decidable by supplying a proof of `¬p` "},"Decidable.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L734-L735","name":"Decidable.em","line":734,"kind":"theorem","docLink":"./Init/Core.html#Decidable.em","doc":""},"Decidable.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L822-L823","name":"Decidable.decide","line":822,"kind":"def","docLink":"./Init/Prelude.html#Decidable.decide","doc":"Convert a decidable proposition into a boolean value.\n\nIf `p : Prop` is decidable, then `decide p : Bool` is the boolean value\nwhich is `true` if `p` is true and `false` if `p` is false.\n"},"Decidable.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L738-L739","name":"Decidable.byContradiction","line":738,"kind":"theorem","docLink":"./Init/Core.html#Decidable.byContradiction","doc":""},"Decidable.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L729-L732","name":"Decidable.byCases","line":729,"kind":"def","docLink":"./Init/Core.html#Decidable.byCases","doc":"Synonym for `dite` (dependent if-then-else). We can construct an element `q`\n(of any sort, not just a proposition) by cases on whether `p` is true or false,\nprovided `p` is decidable.\n"},"Decidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L810-L814","name":"Decidable","line":810,"kind":"class","docLink":"./Init/Prelude.html#Decidable","doc":"`Decidable p` is a data-carrying class that supplies a proof that `p` is\neither `true` or `false`. It is equivalent to `Bool` (and in fact it has the\nsame code generation as `Bool`) together with a proof that the `Bool` is\ntrue iff `p` is.\n\n`Decidable` instances are used to infer \"computation strategies\" for\npropositions, so that you can have the convenience of writing propositions\ninside `if` statements and executing them (which actually executes the inferred\ndecidability instance instead of the proposition, which has no code).\n\nIf a proposition `p` is `Decidable`, then `(by decide : p)` will prove it by\nevaluating the decidability instance to `isTrue h` and returning `h`.\n"},"Complement.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1350-L1350","name":"Complement.mk","line":1350,"kind":"ctor","docLink":"./Init/Prelude.html#Complement.mk","doc":""},"Complement.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1352-L1352","name":"Complement.complement","line":1352,"kind":"def","docLink":"./Init/Prelude.html#Complement.complement","doc":"The implementation of `~~~a : α`. "},"Complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1350-L1352","name":"Complement","line":1350,"kind":"class","docLink":"./Init/Prelude.html#Complement","doc":"The typeclass behind the notation `~~~a : α` where `a : α`. "},"CoeTail.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L202-L202","name":"CoeTail.mk","line":202,"kind":"ctor","docLink":"./Init/Coe.html#CoeTail.mk","doc":""},"CoeTail.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L205-L205","name":"CoeTail.coe","line":205,"kind":"def","docLink":"./Init/Coe.html#CoeTail.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTail":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L202-L205","name":"CoeTail","line":202,"kind":"class","docLink":"./Init/Coe.html#CoeTail","doc":"`CoeTail α β` is for coercions that can only appear at the end of a\nsequence of coercions. That is, `α` can be further coerced via `Coe σ α` and\n`CoeHead τ σ` instances but `β` will only be the expected type of the expression.\n"},"CoeTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L136-L136","name":"CoeTC.mk","line":136,"kind":"ctor","docLink":"./Init/Coe.html#CoeTC.mk","doc":""},"CoeTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L139-L139","name":"CoeTC.coe","line":139,"kind":"def","docLink":"./Init/Coe.html#CoeTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L136-L139","name":"CoeTC","line":136,"kind":"class","docLink":"./Init/Coe.html#CoeTC","doc":"Auxiliary class implementing `Coe*`.\nUsers should generally not implement this directly.\n"},"CoeT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L244-L244","name":"CoeT.mk","line":244,"kind":"ctor","docLink":"./Init/Coe.html#CoeT.mk","doc":""},"CoeT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L248-L248","name":"CoeT.coe","line":248,"kind":"def","docLink":"./Init/Coe.html#CoeT.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L244-L248","name":"CoeT","line":244,"kind":"class","docLink":"./Init/Coe.html#CoeT","doc":"`CoeT` is the core typeclass which is invoked by Lean to resolve a type error.\nIt can also be triggered explicitly with the notation `↑x` or by double type\nascription `((x : α) : β)`.\n\nA `CoeT` chain has the grammar `CoeHead? CoeOut* Coe* CoeTail? | CoeDep`.\n"},"CoeSort.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L277-L277","name":"CoeSort.mk","line":277,"kind":"ctor","docLink":"./Init/Coe.html#CoeSort.mk","doc":""},"CoeSort.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L279-L279","name":"CoeSort.coe","line":279,"kind":"def","docLink":"./Init/Coe.html#CoeSort.coe","doc":"Coerces a value of type `α` to `β`, which must be a universe. "},"CoeSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L277-L279","name":"CoeSort","line":277,"kind":"class","docLink":"./Init/Coe.html#CoeSort","doc":"`CoeSort α β` is a coercion to a sort. `β` must be a universe, and this is\ntriggered when `a : α` appears in a place where a type is expected, like\n`(x : a)` or `a → a`.\n`CoeSort` instances apply to `CoeOut` as well.\n"},"CoeOut.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L149-L149","name":"CoeOut.mk","line":149,"kind":"ctor","docLink":"./Init/Coe.html#CoeOut.mk","doc":""},"CoeOut.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L152-L152","name":"CoeOut.coe","line":152,"kind":"def","docLink":"./Init/Coe.html#CoeOut.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOut":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L149-L152","name":"CoeOut","line":149,"kind":"class","docLink":"./Init/Coe.html#CoeOut","doc":"`CoeOut α β` is for coercions that are applied from left-to-right.\n"},"CoeOTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L159-L159","name":"CoeOTC.mk","line":159,"kind":"ctor","docLink":"./Init/Coe.html#CoeOTC.mk","doc":""},"CoeOTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L162-L162","name":"CoeOTC.coe","line":162,"kind":"def","docLink":"./Init/Coe.html#CoeOTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L159-L162","name":"CoeOTC","line":159,"kind":"class","docLink":"./Init/Coe.html#CoeOTC","doc":"Auxiliary class implementing `CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeHead.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L177-L177","name":"CoeHead.mk","line":177,"kind":"ctor","docLink":"./Init/Coe.html#CoeHead.mk","doc":""},"CoeHead.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L180-L180","name":"CoeHead.coe","line":180,"kind":"def","docLink":"./Init/Coe.html#CoeHead.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHead":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L177-L180","name":"CoeHead","line":177,"kind":"class","docLink":"./Init/Coe.html#CoeHead","doc":"`CoeHead α β` is for coercions that are applied from left-to-right at most once\nat beginning of the coercion chain.\n"},"CoeHTCT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L212-L212","name":"CoeHTCT.mk","line":212,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTCT.mk","doc":""},"CoeHTCT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L215-L215","name":"CoeHTCT.coe","line":215,"kind":"def","docLink":"./Init/Coe.html#CoeHTCT.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTCT":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L212-L215","name":"CoeHTCT","line":212,"kind":"class","docLink":"./Init/Coe.html#CoeHTCT","doc":"Auxiliary class implementing `CoeHead* Coe* CoeTail?`.\nUsers should generally not implement this directly.\n"},"CoeHTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L187-L187","name":"CoeHTC.mk","line":187,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTC.mk","doc":""},"CoeHTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L190-L190","name":"CoeHTC.coe","line":190,"kind":"def","docLink":"./Init/Coe.html#CoeHTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L187-L190","name":"CoeHTC","line":187,"kind":"class","docLink":"./Init/Coe.html#CoeHTC","doc":"Auxiliary class implementing `CoeHead CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeFun.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L262-L262","name":"CoeFun.mk","line":262,"kind":"ctor","docLink":"./Init/Coe.html#CoeFun.mk","doc":""},"CoeFun.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L266-L266","name":"CoeFun.coe","line":266,"kind":"def","docLink":"./Init/Coe.html#CoeFun.coe","doc":"Coerces a value `f : α` to type `γ f`, which should be either be a\nfunction type or another `CoeFun` type, in order to resolve a mistyped\napplication `f x`. "},"CoeFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L262-L266","name":"CoeFun","line":262,"kind":"class","docLink":"./Init/Coe.html#CoeFun","doc":"`CoeFun α (γ : α → Sort v)` is a coercion to a function. `γ a` should be a\n(coercion-to-)function type, and this is triggered whenever an element\n`f : α` appears in an application like `f x`, which would not make sense since\n`f` does not have a function type.\n`CoeFun` instances apply to `CoeOut` as well.\n"},"CoeDep.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L230-L230","name":"CoeDep.mk","line":230,"kind":"ctor","docLink":"./Init/Coe.html#CoeDep.mk","doc":""},"CoeDep.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L234-L234","name":"CoeDep.coe","line":234,"kind":"def","docLink":"./Init/Coe.html#CoeDep.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L230-L234","name":"CoeDep","line":230,"kind":"class","docLink":"./Init/Coe.html#CoeDep","doc":"`CoeDep α (x : α) β` is a typeclass for dependent coercions, that is, the type `β`\ncan depend on `x` (or rather, the value of `x` is available to typeclass search\nso an instance that relates `β` to `x` is allowed).\n\nDependent coercions do not participate in the transitive chaining process of\nregular coercions: they must exactly match the type mismatch on both sides.\n"},"Coe.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L126-L126","name":"Coe.mk","line":126,"kind":"ctor","docLink":"./Init/Coe.html#Coe.mk","doc":""},"Coe.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L129-L129","name":"Coe.coe","line":129,"kind":"def","docLink":"./Init/Coe.html#Coe.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"Coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Coe.lean#L126-L129","name":"Coe","line":126,"kind":"class","docLink":"./Init/Coe.html#Coe","doc":"`Coe α β` is the typeclass for coercions from `α` to `β`. It can be transitively\nchained with other `Coe` instances, and coercion is automatically used when\n`x` has type `α` but it is used in a context where `β` is expected.\nYou can use the `↑x` operator to explicitly trigger coercion.\n"},"Classical.«tacticBy_cases_:_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L126-L129","name":"Classical.«tacticBy_cases_:_»","line":126,"kind":"def","docLink":"./Init/Classical.html#Classical.«tacticBy_cases_:_»","doc":"`by_cases (h :)? p` splits the main goal into two cases, assuming `h : p` in the first branch, and `h : ¬ p` in the second branch.\n"},"Classical.typeDecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L77-L78","name":"Classical.typeDecidableEq","line":77,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidableEq","doc":""},"Classical.typeDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L80-L83","name":"Classical.typeDecidable","line":80,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidable","doc":""},"Classical.strongIndefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L85-L91","name":"Classical.strongIndefiniteDescription","line":85,"kind":"def","docLink":"./Init/Classical.html#Classical.strongIndefiniteDescription","doc":""},"Classical.skolem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L110-L111","name":"Classical.skolem","line":110,"kind":"theorem","docLink":"./Init/Classical.html#Classical.skolem","doc":""},"Classical.propDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L69-L72","name":"Classical.propDecidable","line":69,"kind":"def","docLink":"./Init/Classical.html#Classical.propDecidable","doc":"All propositions are `Decidable`. "},"Classical.propComplete":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L113-L116","name":"Classical.propComplete","line":113,"kind":"theorem","docLink":"./Init/Classical.html#Classical.propComplete","doc":""},"Classical.ofNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L731-L732","name":"Classical.ofNonempty","line":731,"kind":"def","docLink":"./Init/Prelude.html#Classical.ofNonempty","doc":"A variation on `Classical.choice` that uses typeclass inference to\ninfer the proof of `Nonempty α`.\n"},"Classical.inhabited_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L62-L63","name":"Classical.inhabited_of_nonempty","line":62,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_nonempty","doc":""},"Classical.inhabited_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L65-L66","name":"Classical.inhabited_of_exists","line":65,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_exists","doc":""},"Classical.indefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L16-L17","name":"Classical.indefiniteDescription","line":16,"kind":"def","docLink":"./Init/Classical.html#Classical.indefiniteDescription","doc":""},"Classical.exists_true_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L59-L60","name":"Classical.exists_true_of_nonempty","line":59,"kind":"theorem","docLink":"./Init/Classical.html#Classical.exists_true_of_nonempty","doc":""},"Classical.epsilon_spec_aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L97-L98","name":"Classical.epsilon_spec_aux","line":97,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec_aux","doc":""},"Classical.epsilon_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L100-L101","name":"Classical.epsilon_spec","line":100,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec","doc":""},"Classical.epsilon_singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L103-L104","name":"Classical.epsilon_singleton","line":103,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_singleton","doc":""},"Classical.epsilon":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L94-L95","name":"Classical.epsilon","line":94,"kind":"def","docLink":"./Init/Classical.html#Classical.epsilon","doc":"the Hilbert epsilon Function "},"Classical.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L26-L57","name":"Classical.em","line":26,"kind":"theorem","docLink":"./Init/Classical.html#Classical.em","doc":"Diaconescu's theorem: excluded middle from choice, Function extensionality and propositional extensionality. "},"Classical.decidableInhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L74-L75","name":"Classical.decidableInhabited","line":74,"kind":"def","docLink":"./Init/Classical.html#Classical.decidableInhabited","doc":""},"Classical.choose_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L22-L23","name":"Classical.choose_spec","line":22,"kind":"theorem","docLink":"./Init/Classical.html#Classical.choose_spec","doc":""},"Classical.choose":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L19-L20","name":"Classical.choose","line":19,"kind":"def","docLink":"./Init/Classical.html#Classical.choose","doc":""},"Classical.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L712-L712","name":"Classical.choice","line":712,"kind":"axiom","docLink":"./Init/Prelude.html#Classical.choice","doc":"**The axiom of choice**. `Nonempty α` is a proof that `α` has an element,\nbut the element itself is erased. The axiom `choice` supplies a particular\nelement of `α` given only this proof.\n\nThe textbook axiom of choice normally makes a family of choices all at once,\nbut that is implied from this formulation, because if `α : ι → Type` is a\nfamily of types and `h : ∀ i, Nonempty (α i)` is a proof that they are all\nnonempty, then `fun i => Classical.choice (h i) : ∀ i, α i` is a family of\nchosen elements. This is actually a bit stronger than the ZFC choice axiom;\nthis is sometimes called \"[global choice](https://en.wikipedia.org/wiki/Axiom_of_global_choice)\".\n\nIn lean, we use the axiom of choice to derive the law of excluded middle\n(see `Classical.em`), so it will often show up in axiom listings where you\nmay not expect. You can use `#print axioms my_thm` to find out if a given\ntheorem depends on this or other axioms.\n\nThis axiom can be used to construct \"data\", but obviously there is no algorithm\nto compute it, so lean will require you to mark any definition that would\ninvolve executing `Classical.choice` or other axioms as `noncomputable`, and\nwill not produce any executable code for such definitions.\n"},"Classical.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L123-L124","name":"Classical.byContradiction","line":123,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byContradiction","doc":""},"Classical.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L119-L120","name":"Classical.byCases","line":119,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byCases","doc":""},"Classical.axiomOfChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Classical.lean#L107-L108","name":"Classical.axiomOfChoice","line":107,"kind":"theorem","docLink":"./Init/Classical.html#Classical.axiomOfChoice","doc":"the axiom of choice "},"Char.valid":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2057-L2057","name":"Char.valid","line":2057,"kind":"def","docLink":"./Init/Prelude.html#Char.valid","doc":"The value must be a legal codepoint. "},"Char.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2091-L2092","name":"Char.val_ne_of_ne","line":2091,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_ne_of_ne","doc":""},"Char.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2085-L2086","name":"Char.val_eq_of_eq","line":2085,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_eq_of_eq","doc":""},"Char.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2055-L2055","name":"Char.val","line":2055,"kind":"def","docLink":"./Init/Prelude.html#Char.val","doc":"The underlying unicode scalar value as a `UInt32`. "},"Char.utf8Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2101-L2109","name":"Char.utf8Size","line":2101,"kind":"def","docLink":"./Init/Prelude.html#Char.utf8Size","doc":"Returns the number of bytes required to encode this `Char` in UTF-8. "},"Char.utf16Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/Lsp/Utf16.lean#L17-L18","name":"Char.utf16Size","line":17,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#Char.utf16Size","doc":""},"Char.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L94-L96","name":"Char.toUpper","line":94,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toUpper","doc":"Convert a lower case character to its upper case character.\n\nOnly works on basic latin letters.\n"},"Char.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/String/Basic.lean#L765-L766","name":"Char.toString","line":765,"kind":"def","docLink":"./Init/Data/String/Basic.html#Char.toString","doc":""},"Char.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L52-L53","name":"Char.toNat","line":52,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toNat","doc":"Underlying unicode code point as a `Nat`. "},"Char.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L86-L88","name":"Char.toLower","line":86,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toLower","doc":"Convert an upper case character to its lower case character.\n\nOnly works on basic latin letters.\n"},"Char.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SizeOfLemmas.lean#L29-L30","name":"Char.sizeOf","line":29,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Char.sizeOf","doc":""},"Char.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L200-L201","name":"Char.repr","line":200,"kind":"def","docLink":"./Init/Data/Repr.html#Char.repr","doc":""},"Char.quoteCore.smallCharToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L188-L192","name":"Char.quoteCore.smallCharToHex","line":188,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore.smallCharToHex","doc":""},"Char.quoteCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L180-L192","name":"Char.quoteCore","line":180,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore","doc":""},"Char.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Repr.lean#L194-L195","name":"Char.quote","line":194,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quote","doc":""},"Char.ofNatAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2069-L2070","name":"Char.ofNatAux","line":2069,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNatAux","doc":"Pack a `Nat` encoding a valid codepoint into a `Char`.\nThis function is overridden with a native implementation.\n"},"Char.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2077-L2080","name":"Char.ofNat","line":2077,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNat","doc":"Convert a `Nat` into a `Char`. If the `Nat` does not encode a valid unicode scalar value,\n`'\\0'` is returned instead.\n"},"Char.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2088-L2089","name":"Char.ne_of_val_ne","line":2088,"kind":"theorem","docLink":"./Init/Prelude.html#Char.ne_of_val_ne","doc":""},"Char.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1-L1","name":"Char.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Char.mk","doc":""},"Char.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L18-L18","name":"Char.lt","line":18,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.lt","doc":""},"Char.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L19-L19","name":"Char.le","line":19,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.le","doc":""},"Char.isWhitespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L59-L60","name":"Char.isWhitespace","line":59,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isWhitespace","doc":"Is the character a space (U+0020) a tab (U+0009), a carriage return (U+000D) or a newline (U+000A)? "},"Char.isValidUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L34-L41","name":"Char.isValidUInt32","line":34,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidUInt32","doc":""},"Char.isValidChar_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L48-L49","name":"Char.isValidChar_zero","line":48,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_zero","doc":""},"Char.isValidChar_of_isValidChar_Nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L43-L46","name":"Char.isValidChar_of_isValidChar_Nat","line":43,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_of_isValidChar_Nat","doc":""},"Char.isValidCharNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L31-L32","name":"Char.isValidCharNat","line":31,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isValidCharNat","doc":"Determines if the given nat is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value)."},"Char.isUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L63-L64","name":"Char.isUpper","line":63,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isUpper","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZ`? "},"Char.isLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L67-L68","name":"Char.isLower","line":67,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isLower","doc":"Is the character in `abcdefghijklmnopqrstuvwxyz`? "},"Char.isDigit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L75-L76","name":"Char.isDigit","line":75,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isDigit","doc":"Is the character in `0123456789`? "},"Char.isAlphanum":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L79-L80","name":"Char.isAlphanum","line":79,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlphanum","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789`? "},"Char.isAlpha":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L71-L72","name":"Char.isAlpha","line":71,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlpha","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`? "},"Char.instLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L21-L21","name":"Char.instLTChar","line":21,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLTChar","doc":""},"Char.instLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L22-L22","name":"Char.instLEChar","line":22,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLEChar","doc":""},"Char.instInhabitedChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L55-L56","name":"Char.instInhabitedChar","line":55,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instInhabitedChar","doc":""},"Char.instDecidableLtCharInstLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L24-L25","name":"Char.instDecidableLtCharInstLTChar","line":24,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLtCharInstLTChar","doc":""},"Char.instDecidableLeCharInstLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Char/Basic.lean#L27-L28","name":"Char.instDecidableLeCharInstLEChar","line":27,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLeCharInstLEChar","doc":""},"Char.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2082-L2083","name":"Char.eq_of_val_eq","line":2082,"kind":"theorem","docLink":"./Init/Prelude.html#Char.eq_of_val_eq","doc":""},"Char":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2053-L2057","name":"Char","line":2053,"kind":"structure","docLink":"./Init/Prelude.html#Char","doc":"The `Char` Type represents an unicode scalar value.\nSee http://www.unicode.org/glossary/#unicode_scalar_value). "},"ByteArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L67-L68","name":"ByteArray.uset","line":67,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uset","doc":""},"ByteArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L41-L42","name":"ByteArray.uget","line":41,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uget","doc":""},"ByteArray.toUInt64LE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L197-L206","name":"ByteArray.toUInt64LE!","line":197,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64LE!","doc":"Interpret a `ByteArray` of size 8 as a little-endian `UInt64`. "},"ByteArray.toUInt64BE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L209-L218","name":"ByteArray.toUInt64BE!","line":209,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64BE!","doc":"Interpret a `ByteArray` of size 8 as a big-endian `UInt64`. "},"ByteArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L96-L100","name":"ByteArray.toList.loop","line":96,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toList.loop","doc":""},"ByteArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L95-L101","name":"ByteArray.toList","line":95,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toList","doc":""},"ByteArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L37-L38","name":"ByteArray.size","line":37,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.size","doc":""},"ByteArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L59-L60","name":"ByteArray.set!","line":59,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.set!","doc":""},"ByteArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L63-L64","name":"ByteArray.set","line":63,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.set","doc":""},"ByteArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L33-L34","name":"ByteArray.push","line":33,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.push","doc":""},"ByteArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L21-L22","name":"ByteArray.mkEmpty","line":21,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.mkEmpty","doc":""},"ByteArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L1-L1","name":"ByteArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.mk","doc":""},"ByteArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L76-L77","name":"ByteArray.isEmpty","line":76,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.isEmpty","doc":""},"ByteArray.instInhabitedByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L26-L27","name":"ByteArray.instInhabitedByteArray","line":26,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instInhabitedByteArray","doc":""},"ByteArray.instHashableByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L73-L74","name":"ByteArray.instHashableByteArray","line":73,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instHashableByteArray","doc":""},"ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L55-L56","name":"ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize","line":55,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instGetElemByteArrayUSizeUInt8LtNatInstLTNatValSizeValSize","doc":""},"ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L52-L53","name":"ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize","line":52,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instGetElemByteArrayNatUInt8LtInstLTNatSize","doc":""},"ByteArray.instForInByteArrayUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L144-L145","name":"ByteArray.instForInByteArrayUInt8","line":144,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instForInByteArrayUInt8","doc":""},"ByteArray.instEmptyCollectionByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L29-L30","name":"ByteArray.instEmptyCollectionByteArray","line":29,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.instEmptyCollectionByteArray","doc":""},"ByteArray.instAppendByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L93-L93","name":"ByteArray.instAppendByteArray","line":93,"kind":"instance","docLink":"./Init/Data/ByteArray/Basic.html#Byt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"},"ByteArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L151-L155","name":"ByteArray.foldlMUnsafe.fold","line":151,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe.fold","doc":""},"ByteArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L150-L162","name":"ByteArray.foldlMUnsafe","line":150,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"ByteArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L168-L175","name":"ByteArray.foldlM.loop","line":168,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM.loop","doc":""},"ByteArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L166-L180","name":"ByteArray.foldlM","line":166,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM","doc":"Reference implementation for `foldlM` "},"ByteArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L183-L184","name":"ByteArray.foldl","line":183,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldl","doc":""},"ByteArray.findIdx?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L104-L108","name":"ByteArray.findIdx?.loop","line":104,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?.loop","doc":""},"ByteArray.findIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L103-L109","name":"ByteArray.findIdx?","line":103,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?","doc":""},"ByteArray.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L86-L87","name":"ByteArray.extract","line":86,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.extract","doc":""},"ByteArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L24-L24","name":"ByteArray.empty","line":24,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.empty","doc":""},"ByteArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L14-L14","name":"ByteArray.data","line":14,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.data","doc":""},"ByteArray.copySlice":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/ByteArray/Basic.lean#L83-L84","name":"ByteArray.copySlice","line":83,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.copySlice","doc":"Copy 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boolean value `false`, not to be confused with the proposition `False`. "},"Bool.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L871-L876","name":"Bool.decEq","line":871,"kind":"def","docLink":"./Init/Prelude.html#Bool.decEq","doc":"Decidable equality for Bool "},"Bool.beq_to_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L131-L132","name":"Bool.beq_to_eq","line":131,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.beq_to_eq","doc":""},"Bool.and_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L111-L111","name":"Bool.and_true","line":111,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_true","doc":""},"Bool.and_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L114-L114","name":"Bool.and_self","line":114,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_self","doc":""},"Bool.and_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L110-L110","name":"Bool.and_false","line":110,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_false","doc":""},"Bool.and_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L115-L116","name":"Bool.and_eq_true","line":115,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_eq_true","doc":""},"Bool.and_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/SimpLemmas.lean#L118-L119","name":"Bool.and_assoc","line":118,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_assoc","doc":""},"Bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L545-L549","name":"Bool","line":545,"kind":"inductive","docLink":"./Init/Prelude.html#Bool","doc":"`Bool` is the type of boolean values, `true` and `false`. Classically,\nthis is equivalent to `Prop` (the type of propositions), but the distinction\nis important for programming, because values of type `Prop` are erased in the\ncode generator, while `Bool` corresponds to the type called `bool` or `boolean`\nin most programming languages.\n"},"Bitvec.«term𝟷»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"Bitvec.«term𝟷_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"Bitvec.«term𝟶»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"Bitvec.«term𝟶_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"Bitvec.«term_⊑_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"Bitvec.«term_≥ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"Bitvec.«term_≥ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"Bitvec.«term_≤ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"Bitvec.«term_≤ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"Bitvec.«term_>ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"Bitvec.«term_>ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"Bitvec.«term_>>>ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"Bitvec.«term_<ₛ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"Bitvec.«term_<ᵤ_»":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"Bitvec.zsmul_def":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"Bitvec.zero_def":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"Bitvec.width":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"Bitvec.ure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This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"Bitvec.ult":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"Bitvec.ule":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"Bitvec.ugt":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"Bitvec.uge":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"Bitvec.udiv?":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"Bitvec.toZMod_zsmul":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"Bitvec.toZMod_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"Bitvec.toZMod_val":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"Bitvec.toZMod_sub":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"Bitvec.toZMod_sbb":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"Bitvec.toZMod_one":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"Bitvec.toZMod_ofZMod":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"Bitvec.toZMod_nsmul":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"Bitvec.toZMod_neg":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"Bitvec.toZMod_add":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"Bitvec.toZMod":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"Bitvec.toNat_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"Bitvec.toNat_tail":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"Bitvec.toNat_one":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"Bitvec.toNat_add":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"Bitvec.toNat_adc_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"Bitvec.toNat_adc":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"Bitvec.toList_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"Bitvec.toList_one":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"Bitvec.toList_cong":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"Bitvec.toInt_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"Bitvec.toInt_sub_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"Bitvec.toInt_one":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"Bitvec.toInt_neg_aux":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"Bitvec.toInt_injective":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"Bitvec.toInt_eq_zero":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"Bitvec.toFun":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"Bitvec.toBool_ofBool":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"Bitvec.toBool":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"Bitvec.srem?":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"Bitvec.some_add?_eq_add":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"Bitvec.slt":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"Bitvec.sle":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"Bitvec.shl_ushr_eq_and_shl":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"Bitvec.sgt":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"Bitvec.sge":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"Bitvec.select":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"Bitvec.sdiv?":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by 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"},"Bind.kleisliLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L242-L243","name":"Bind.kleisliLeft","line":242,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.kleisliLeft","doc":"Right-to-left composition of Kleisli arrows. "},"Bind.bindLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L247-L248","name":"Bind.bindLeft","line":247,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.bindLeft","doc":"Same as `Bind.bind` but with arguments swapped. "},"Bind.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2662-L2662","name":"Bind.bind","line":2662,"kind":"def","docLink":"./Init/Prelude.html#Bind.bind","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"Bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2659-L2662","name":"Bind","line":2659,"kind":"class","docLink":"./Init/Prelude.html#Bind","doc":"The typeclass which supplies the `>>=` \"bind\" function. See `Monad`. "},"BaseType.toType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"BaseType.tensor2d":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"BaseType.ix":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"BaseType.int":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"BaseType":{"sourceLink":"https://github.com/bollu/ssa/blob/097a12bc580f84e9066d1ae4972bd59bdb100696/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"BaseIO.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L68-L69","name":"BaseIO.toIO","line":68,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toIO","doc":""},"BaseIO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L47-L49","name":"BaseIO.toEIO","line":47,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toEIO","doc":""},"BaseIO.mapTasks.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L131-L134","name":"BaseIO.mapTasks.go","line":131,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks.go","doc":""},"BaseIO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L128-L134","name":"BaseIO.mapTasks","line":128,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks","doc":""},"BaseIO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L120-L121","name":"BaseIO.mapTask","line":120,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.mapTask","doc":"See `BaseIO.asTask`. "},"BaseIO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L125-L126","name":"BaseIO.bindTask","line":125,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.bindTask","doc":"See `BaseIO.asTask`. "},"BaseIO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L115-L116","name":"BaseIO.asTask","line":115,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.asTask","doc":"Run `act` in a separate `Task`.\nThis is similar to Haskell's [`unsafeInterleaveIO`](http://hackage.haskell.org/package/base-4.14.0.0/docs/System-IO-Unsafe.html#v:unsafeInterleaveIO),\nexcept that the `Task` is started eagerly as usual. Thus pure accesses to the `Task` do not influence the impure `act`\ncomputation.\nUnlike with pure tasks created by `Task.spawn`, tasks created by this function will be run even if the last reference\nto the task is dropped. The `act` should manually check for cancellation via `IO.checkCanceled` if it wants to react\nto that. "},"BaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/System/IO.lean#L41-L41","name":"BaseIO","line":41,"kind":"def","docLink":"./Init/System/IO.html#BaseIO","doc":"An `EIO` monad that cannot throw exceptions. "},"BEq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L889-L889","name":"BEq.mk","line":889,"kind":"ctor","docLink":"./Init/Prelude.html#BEq.mk","doc":""},"BEq.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L891-L891","name":"BEq.beq","line":891,"kind":"def","docLink":"./Init/Prelude.html#BEq.beq","doc":"Boolean equality, notated as `a == b`. "},"BEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L889-L891","name":"BEq","line":889,"kind":"class","docLink":"./Init/Prelude.html#BEq","doc":"`BEq α` is a typeclass for supplying a boolean-valued equality relation on\n`α`, notated as `a == b`. Unlike `DecidableEq α` (which uses `a = b`), this\nis `Bool` valued instead of `Prop` valued, and it also does not have any\naxioms like being reflexive or agreeing with `=`. It is mainly intended for\nprogramming applications. See `LawfulBEq` for a version that requires that\n`==` and `=` coincide.\n"},"Array.«term__[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L154-L154","name":"Array.«term__[_:_]»","line":154,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:_]»","doc":""},"Array.«term__[_:]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L155-L155","name":"Array.«term__[_:]»","line":155,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:]»","doc":""},"Array.«term__[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L156-L156","name":"Array.«term__[:_]»","line":156,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[:_]»","doc":""},"Array.zipWithAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L804-L814","name":"Array.zipWithAux","line":804,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWithAux","doc":""},"Array.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L816-L817","name":"Array.zipWith","line":816,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWith","doc":""},"Array.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L819-L820","name":"Array.zip","line":819,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zip","doc":""},"Array.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L71-L72","name":"Array.uset","line":71,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uset","doc":"Low-level version of `fset` which is as fast as a C array fset.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fset` may be slightly slower than `uset`. "},"Array.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L822-L823","name":"Array.unzip","line":822,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.unzip","doc":""},"Array.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L41-L42","name":"Array.uget","line":41,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uget","doc":"Low-level version of `fget` which is as fast as a C array read.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fget` may be slightly slower than `uget`. "},"Array.toSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L134-L144","name":"Array.toSubarray","line":134,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.toSubarray","doc":""},"Array.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Lean/Data/PersistentArray.lean#L383-L384","name":"Array.toPArray'","line":383,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#Array.toPArray'","doc":""},"Array.toListLitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L736-L738","name":"Array.toListLitAux","line":736,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toListLitAux","doc":""},"Array.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L471-L472","name":"Array.toList","line":471,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toList","doc":""},"Array.toArrayLit_eq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L764-L765","name":"Array.toArrayLit_eq.go","line":764,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.go","doc":""},"Array.toArrayLit_eq.getLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L761-L762","name":"Array.toArrayLit_eq.getLit_eq","line":761,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.getLit_eq","doc":""},"Array.toArrayLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L752-L765","name":"Array.toArrayLit_eq","line":752,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq","doc":""},"Array.toArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L740-L741","name":"Array.toArrayLit","line":740,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit","doc":""},"Array.toArrayAux_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L746-L747","name":"Array.toArrayAux_eq","line":746,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayAux_eq","doc":""},"Array.takeWhile.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L671-L679","name":"Array.takeWhile.go","line":671,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile.go","doc":""},"Array.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L670-L681","name":"Array.takeWhile","line":670,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile","doc":""},"Array.tacticArray_get_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L53-L56","name":"Array.tacticArray_get_dec","line":53,"kind":"def","docLink":"./Init/Data/Array/Mem.html#Array.tacticArray_get_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf arr[i] < sizeOf arr`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : Array T → T`. "},"Array.swapAt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L94-L99","name":"Array.swapAt!","line":94,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt!","doc":""},"Array.swapAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L88-L91","name":"Array.swapAt","line":88,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt","doc":""},"Array.swap!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L82-L86","name":"Array.swap!","line":82,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap!","doc":""},"Array.swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L75-L79","name":"Array.swap","line":75,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap","doc":""},"Array.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L825-L827","name":"Array.split","line":825,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.split","doc":""},"Array.size_swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L631-L633","name":"Array.size_swap","line":631,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_swap","doc":""},"Array.size_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L61-L62","name":"Array.size_set","line":61,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_set","doc":""},"Array.size_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L64-L65","name":"Array.size_push","line":64,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_push","doc":""},"Array.size_pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L635-L638","name":"Array.size_pop","line":635,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_pop","doc":""},"Array.size_mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L24-L25","name":"Array.size_mkArray","line":24,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_mkArray","doc":""},"Array.sizeOf_lt_of_mem.aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L34-L40","name":"Array.sizeOf_lt_of_mem.aux","line":34,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem.aux","doc":""},"Array.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L32-L42","name":"Array.sizeOf_lt_of_mem","line":32,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem","doc":""},"Array.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L26-L30","name":"Array.sizeOf_get_lt","line":26,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get_lt","doc":""},"Array.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Mem.lean#L44-L48","name":"Array.sizeOf_get","line":44,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get","doc":""},"Array.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2516-L2517","name":"Array.size","line":2516,"kind":"def","docLink":"./Init/Prelude.html#Array.size","doc":"Get the size of an array. This is a cached value, so it is O(1) to access. "},"Array.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L34-L35","name":"Array.singleton","line":34,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.singleton","doc":""},"Array.shrink.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L107-L109","name":"Array.shrink.loop","line":107,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink.loop","doc":""},"Array.shrink":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L106-L110","name":"Array.shrink","line":106,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink","doc":""},"Array.setD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2596-L2597","name":"Array.setD","line":2596,"kind":"def","docLink":"./Init/Prelude.html#Array.setD","doc":"Set an element in an array, or do nothing if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2606-L2607","name":"Array.set!","line":2606,"kind":"def","docLink":"./Init/Prelude.html#Array.set!","doc":"Set an element in an array, or panic if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2587-L2588","name":"Array.set","line":2587,"kind":"def","docLink":"./Init/Prelude.html#Array.set","doc":"Set an element in an array without bounds checks, using a `Fin` index.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.sequenceMap.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2767-L2773","name":"Array.sequenceMap.loop","line":2767,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap.loop","doc":""},"Array.sequenceMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2766-L2774","name":"Array.sequenceMap","line":2766,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap","doc":"A fusion of Haskell's `sequence` and `map`. Used in syntax quotations. "},"Array.reverse.termination":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L640-L642","name":"Array.reverse.termination","line":640,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.reverse.termination","doc":""},"Array.reverse.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L650-L657","name":"Array.reverse.loop","line":650,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse.loop","doc":""},"Array.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L644-L658","name":"Array.reverse","line":644,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse","doc":""},"Array.qsort.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L33-L43","name":"Array.qsort.sort","line":33,"kind":"opaque","docLink":"./Init/Data/Array/QSort.html#Array.qsort.sort","doc":""},"Array.qsort":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L32-L44","name":"Array.qsort","line":32,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qsort","doc":""},"Array.qpartition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L19-L28","name":"Array.qpartition.loop","line":19,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition.loop","doc":""},"Array.qpartition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/QSort.lean#L12-L30","name":"Array.qpartition","line":12,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition","doc":""},"Array.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2541-L2542","name":"Array.push","line":2541,"kind":"def","docLink":"./Init/Prelude.html#Array.push","doc":"Push an element onto the end of an array. This is amortized O(1) because\n`Array α` is internally a dynamic array.\n"},"Array.popWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L660-L668","name":"Array.popWhile","line":660,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.popWhile","doc":""},"Array.pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L102-L104","name":"Array.pop","line":102,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.pop","doc":""},"Array.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L564-L572","name":"Array.partition","line":564,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.partition","doc":""},"Array.of_push_eq_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L11-L15","name":"Array.of_push_eq_push","line":11,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#Array.of_push_eq_push","doc":""},"Array.ofSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Subarray.lean#L146-L150","name":"Array.ofSubarray","line":146,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.ofSubarray","doc":""},"Array.modifyOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L141-L142","name":"Array.modifyOp","line":141,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyOp","doc":""},"Array.modifyMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L113-L124","name":"Array.modifyMUnsafe","line":113,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyMUnsafe","doc":""},"Array.modifyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L127-L134","name":"Array.modifyM","line":127,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modifyM","doc":""},"Array.modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L137-L138","name":"Array.modify","line":137,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.modify","doc":""},"Array.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2508-L2509","name":"Array.mkEmpty","line":2508,"kind":"def","docLink":"./Init/Prelude.html#Array.mkEmpty","doc":"Construct a new empty array with initial capacity `c`. "},"Array.mkArray8":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2577-L2578","name":"Array.mkArray8","line":2577,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray8","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈]` "},"Array.mkArray7":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2573-L2574","name":"Array.mkArray7","line":2573,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray7","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇]` "},"Array.mkArray6":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2569-L2570","name":"Array.mkArray6","line":2569,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray6","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆]` "},"Array.mkArray5":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2565-L2566","name":"Array.mkArray5","line":2565,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray5","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅]` "},"Array.mkArray4":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2561-L2562","name":"Array.mkArray4","line":2561,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray4","doc":"Create array `#[a₁, a₂, a₃, a₄]` "},"Array.mkArray3":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2557-L2558","name":"Array.mkArray3","line":2557,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray3","doc":"Create array `#[a₁, a₂, a₃]` "},"Array.mkArray2":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2553-L2554","name":"Array.mkArray2","line":2553,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray2","doc":"Create array `#[a₁, a₂]` "},"Array.mkArray1":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2549-L2550","name":"Array.mkArray1","line":2549,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray1","doc":"Create array `#[a₁]` "},"Array.mkArray0":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2545-L2546","name":"Array.mkArray0","line":2545,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray0","doc":"Create array `#[]` "},"Array.mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L20-L22","name":"Array.mkArray","line":20,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mkArray","doc":""},"Array.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2498-L2498","name":"Array.mk","line":2498,"kind":"ctor","docLink":"./Init/Prelude.html#Array.mk","doc":"Convert a `List α` into an `Array α`. This function is overridden\nto `List.toArray` and is O(n) in the length of the list. "},"Array.mapSepElemsM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1087-L1088","name":"Array.mapSepElemsM","line":1087,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElemsM","doc":""},"Array.mapSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1090-L1091","name":"Array.mapSepElems","line":1090,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElems","doc":""},"Array.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L70-L71","name":"Array.mapMonoM","line":70,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMonoM","doc":"Monomorphic `Array.mapM`. The internal implementation uses pointer equality, and does not allocate a new array\nif the result of each `f a` is a pointer equal value `a`.\n"},"Array.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L73-L74","name":"Array.mapMono","line":73,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMono","doc":""},"Array.mapMUnsafe.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L256-L266","name":"Array.mapMUnsafe.map","line":256,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe.map","doc":""},"Array.mapMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L254-L267","name":"Array.mapMUnsafe","line":254,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.mapM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L274-L278","name":"Array.mapM.map","line":274,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM.map","doc":""},"Array.mapM'.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L43-L49","name":"Array.mapM'.go","line":43,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'.go","doc":""},"Array.mapM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/BasicAux.lean#L40-L50","name":"Array.mapM'","line":40,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'","doc":""},"Array.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L271-L280","name":"Array.mapM","line":271,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM","doc":"Reference implementation for `mapM` 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Panics if `i` is not `i ≤ as.size`. "},"Array.insertAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L717-L728","name":"Array.insertAt","line":717,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.insertAt","doc":"Insert element `a` at position `i`. "},"Array.indexOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L620-L626","name":"Array.indexOfAux","line":620,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.indexOfAux","doc":""},"Array.indexOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L628-L629","name":"Array.indexOf?","line":628,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.indexOf?","doc":""},"Array.getSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Meta.lean#L1048-L1048","name":"Array.getSepElems","line":1048,"kind":"def","docLink":"./Init/Meta.html#Array.getSepElems","doc":""},"Array.getMax?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L555-L561","name":"Array.getMax?","line":555,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getMax?","doc":""},"Array.getLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L57-L59","name":"Array.getLit","line":57,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getLit","doc":""},"Array.getIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L446-L447","name":"Array.getIdx?","line":446,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getIdx?","doc":""},"Array.getEvenElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L463-L468","name":"Array.getEvenElems","line":463,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.getEvenElems","doc":""},"Array.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2525-L2526","name":"Array.getD","line":2525,"kind":"def","docLink":"./Init/Prelude.html#Array.getD","doc":"Access an element from an array, or return `v₀` if the index is out of bounds. "},"Array.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L50-L51","name":"Array.get?","line":50,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.get?","doc":""},"Array.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2530-L2531","name":"Array.get!","line":2530,"kind":"def","docLink":"./Init/Prelude.html#Array.get!","doc":"Access an element from an array, or panic if the index is out of bounds. "},"Array.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2521-L2522","name":"Array.get","line":2521,"kind":"def","docLink":"./Init/Prelude.html#Array.get","doc":"Access an element from an array without bounds checks, using a `Fin` index. "},"Array.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L384-L385","name":"Array.forRevM","line":384,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forRevM","doc":""},"Array.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L380-L381","name":"Array.forM","line":380,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forM","doc":""},"Array.forInUnsafe.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L150-L157","name":"Array.forInUnsafe.loop","line":150,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forInUnsafe.loop","doc":""},"Array.forInUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L148-L158","name":"Array.forInUnsafe","line":148,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forInUnsafe","doc":"We claim this unsafe implementation is correct because an array cannot have more than `usizeSz` elements in our runtime.\n\nThis kind of low level trick can be removed with a little bit of compiler support. For example, if the compiler simplifies `as.size < usizeSz` to true. "},"Array.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L163-L172","name":"Array.forIn.loop","line":163,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forIn.loop","doc":""},"Array.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L162-L173","name":"Array.forIn","line":162,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.forIn","doc":"Reference implementation for `forIn` "},"Array.foldrMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L216-L220","name":"Array.foldrMUnsafe.fold","line":216,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrMUnsafe.fold","doc":""},"Array.foldrMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L215-L229","name":"Array.foldrMUnsafe","line":215,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.foldrM.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L234-L241","name":"Array.foldrM.fold","line":234,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrM.fold","doc":""},"Array.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Data/Array/Basic.lean#L233-L250","name":"Array.foldrM","line":233,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.foldrM","doc":"Reference implementation for `foldrM` 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Arrays perform best when unshared; as long\nas they are used \"linearly\" all updates will be performed destructively on the\narray, so it has comparable performance to mutable arrays in imperative\nprogramming languages.\n"},"Applicative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2730-L2730","name":"Applicative.mk","line":2730,"kind":"ctor","docLink":"./Init/Prelude.html#Applicative.mk","doc":""},"Applicative":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L2730-L2733","name":"Applicative","line":2730,"kind":"class","docLink":"./Init/Prelude.html#Applicative","doc":"An [applicative functor](https://en.wikipedia.org/wiki/Applicative_functor) is\nan intermediate structure between `Functor` and `Monad`. It mainly consists of\ntwo operations:\n\n* `pure : α → F α`\n* `seq : F (α → β) → F α → F β` (written as `<*>`)\n\nThe `seq` operator gives a notion of evaluation order to the effects, where\nthe first argument is executed before the second, but unlike a monad the results\nof earlier computations cannot be used to define later actions.\n"},"Append.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1306-L1306","name":"Append.mk","line":1306,"kind":"ctor","docLink":"./Init/Prelude.html#Append.mk","doc":""},"Append.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1308-L1308","name":"Append.append","line":1308,"kind":"def","docLink":"./Init/Prelude.html#Append.append","doc":"`a ++ b` is the result of concatenation of `a` and `b`. See `HAppend`. "},"Append":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1306-L1308","name":"Append","line":1306,"kind":"class","docLink":"./Init/Prelude.html#Append","doc":"The homogeneous version of `HAppend`: `a ++ b : α` where `a b : α`. "},"Antisymm.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1608-L1608","name":"Antisymm.mk","line":1608,"kind":"ctor","docLink":"./Init/Core.html#Antisymm.mk","doc":""},"Antisymm.antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1610-L1610","name":"Antisymm.antisymm","line":1610,"kind":"def","docLink":"./Init/Core.html#Antisymm.antisymm","doc":"An antisymmetric relation `(·≤·)` satisfies `a ≤ b → b ≤ a → a = b`. "},"Antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L1608-L1610","name":"Antisymm","line":1608,"kind":"class","docLink":"./Init/Core.html#Antisymm","doc":"`Antisymm (·≤·)` says that `(·≤·)` is antisymmetric, that is, `a ≤ b → b ≤ a → a = b`.\n"},"AndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1324-L1324","name":"AndThen.mk","line":1324,"kind":"ctor","docLink":"./Init/Prelude.html#AndThen.mk","doc":""},"AndThen.andThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1326-L1326","name":"AndThen.andThen","line":1326,"kind":"def","docLink":"./Init/Prelude.html#AndThen.andThen","doc":"The implementation of `a >> b : α`. See `HAndThen`. "},"AndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1324-L1326","name":"AndThen","line":1324,"kind":"class","docLink":"./Init/Prelude.html#AndThen","doc":"The homogeneous version of `HAndThen`: `a >> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"AndOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1332-L1332","name":"AndOp.mk","line":1332,"kind":"ctor","docLink":"./Init/Prelude.html#AndOp.mk","doc":""},"AndOp.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1334-L1334","name":"AndOp.and","line":1334,"kind":"def","docLink":"./Init/Prelude.html#AndOp.and","doc":"The implementation of `a &&& b : α`. See `HAnd`. "},"AndOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1332-L1334","name":"AndOp","line":1332,"kind":"class","docLink":"./Init/Prelude.html#AndOp","doc":"The homogeneous version of `HAnd`: `a &&& b : α` where `a b : α`.\n(It is called `AndOp` because `And` is taken for the propositional connective.)\n"},"And.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L507-L507","name":"And.right","line":507,"kind":"def","docLink":"./Init/Prelude.html#And.right","doc":"Extract the right conjunct from a conjunction. `h : a ∧ b` then\n`h.right`, also notated as `h.2`, is a proof of `b`. "},"And.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L504-L504","name":"And.left","line":504,"kind":"def","docLink":"./Init/Prelude.html#And.left","doc":"Extract the left conjunct from a conjunction. `h : a ∧ b` then\n`h.left`, also notated as `h.1`, is a proof of `a`. "},"And.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L501-L501","name":"And.intro","line":501,"kind":"ctor","docLink":"./Init/Prelude.html#And.intro","doc":"`And.intro : a → b → a ∧ b` is the constructor for the And operation. "},"And.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Core.lean#L680-L681","name":"And.comm","line":680,"kind":"theorem","docLink":"./Init/Core.html#And.comm","doc":""},"And":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L499-L507","name":"And","line":499,"kind":"structure","docLink":"./Init/Prelude.html#And","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"Alternative.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L25-L25","name":"Alternative.orElse","line":25,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.orElse","doc":""},"Alternative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L23-L23","name":"Alternative.mk","line":23,"kind":"ctor","docLink":"./Init/Control/Basic.html#Alternative.mk","doc":""},"Alternative.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L24-L24","name":"Alternative.failure","line":24,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.failure","doc":""},"Alternative":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Control/Basic.lean#L23-L25","name":"Alternative","line":23,"kind":"class","docLink":"./Init/Control/Basic.html#Alternative","doc":""},"Add.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1263-L1263","name":"Add.mk","line":1263,"kind":"ctor","docLink":"./Init/Prelude.html#Add.mk","doc":""},"Add.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1265-L1265","name":"Add.add","line":1265,"kind":"def","docLink":"./Init/Prelude.html#Add.add","doc":"`a + b` computes the sum of `a` and `b`. See `HAdd`. "},"Add":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/Prelude.lean#L1263-L1265","name":"Add","line":1263,"kind":"class","docLink":"./Init/Prelude.html#Add","doc":"The homogeneous version of `HAdd`: `a + b : α` where `a b : α`. "},"Acc.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L20-L24","name":"Acc.ndrecOn","line":20,"kind":"def","docLink":"./Init/WF.html#Acc.ndrecOn","doc":""},"Acc.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L15-L18","name":"Acc.ndrec","line":15,"kind":"def","docLink":"./Init/WF.html#Acc.ndrec","doc":""},"Acc.inv":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L29-L30","name":"Acc.inv","line":29,"kind":"def","docLink":"./Init/WF.html#Acc.inv","doc":""},"Acc.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L13-L13","name":"Acc.intro","line":13,"kind":"ctor","docLink":"./Init/WF.html#Acc.intro","doc":""},"Acc":{"sourceLink":"https://github.com/leanprover/lean4/blob/216d2460e0adec8317fdeeb6f2543cb7442564fd/src/Init/WF.lean#L12-L13","name":"Acc","line":12,"kind":"inductive","docLink":"./Init/WF.html#Acc","doc":""}}} \ No newline at end of file diff --git a/declarations/declaration-data.bmp.trace b/declarations/declaration-data.bmp.trace index 5b89fd3e4..65de772a7 100644 --- a/declarations/declaration-data.bmp.trace +++ b/declarations/declaration-data.bmp.trace @@ -1 +1 @@ -13763982503146402736 \ No newline at end of file +10338524093125249964 \ No newline at end of file